Melco MitsubishiMitsubishi Electric USMitsubishi Air ConditionerMitsubishi Electric japanmitsubishi electric taiwan co. ltdMitsubishi refrigeratorMitsubishi SemiconductorMitsubishi Electric CorporationDepartment of Electrical Engineering and Computer Science ...
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The Department of Electrical Engineering and Computer Science (EECS) at MIT and its graduates have been at the forefront of a great many of these advances. 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EngineeringManagement(EM) ExperimentalStudyGroup(ES) GlobalLanguages(Course21G) HealthSciencesandTechnology(HST) History(Course21H) Humanities(Course21) LinguisticsandPhilosophy(Course24) Literature(Course21L) Management(Course15) MaterialsScienceandEngineering(Course3) Mathematics(Course18) MechanicalEngineering(Course2) MediaArtsandSciences(MAS) MilitaryScience(MS) MusicandTheaterArts(Course21M) NavalScience(NS) NuclearScienceandEngineering(Course22) Physics(Course8) PoliticalScience(Course17) Science,Technology,andSociety(STS) SpecialPrograms SupplyChainManagement(SCM) UrbanStudiesandPlanning(Course11) Women'sandGenderStudies(WGS) DepartmentofElectricalEngineeringandComputerScience Overview Undergraduate Graduate Faculty/Staff Subjects Electricalengineersandcomputerscientistsareeverywhere—inindustryandresearchareasasdiverseascomputerandcommunicationnetworks,electroniccircuitsandsystems,lasersandphotonics,semiconductorandsolid-statedevices,nanoelectronics,biomedicalengineering,computationalbiology,artificialintelligence,robotics,designandmanufacturing,controlandoptimization,computeralgorithms,gamesandgraphics,softwareengineering,computerarchitecture,cryptographyandcomputersecurity,powerandenergysystems,financialanalysis,andmanymore.Theinfrastructureandfabricoftheinformationage,includingtechnologiessuchastheinternetandtheweb,searchengines,cellphones,high-definitiontelevision,andmagneticresonanceimaging,arelargelytheresultofinnovationsinelectricalengineeringandcomputerscience.TheDepartmentofElectricalEngineeringandComputerScience (EECS) atMITanditsgraduateshavebeenattheforefrontofagreatmanyoftheseadvances.Currentworkinthedepartmentholdspromiseofcontinuingthisrecordofinnovationandleadership,inbothresearchandeducation,acrossthefullspectrumofdepartmentalactivity. ThecareerpathsandopportunitiesforEECSgraduatescoverawiderangeandcontinuetogrow:fundamentaltechnologies,devices,andsystemsbasedonelectricalengineeringandcomputersciencearepervasiveandessentialtoimprovingthelivesofpeoplearoundtheworldandmanagingtheenvironmentstheylivein.ThebasisforthesuccessofEECSgraduatesisadeepeducationinengineeringprinciples,builtonmathematical,computational,physical,andlifesciences,andexercisedwithpracticalapplicationsandprojectexperiencesinawiderangeofareas.OurgraduateshavealsodemonstratedovertheyearsthatEECSprovidesastrongfoundationforthosewhoseworkandcareersdevelopinareasquiteremovedfromtheiroriginsinengineering. Undergraduatestudentsinthedepartmenttakecoresubjectsthatintroduceelectricalengineeringandcomputerscience,andthensystematicallybuildupbroadfoundationsanddepthinselectedintellectualthemeareasthatmatchtheirindividualinterests.Laboratorysubjects,independentprojects,andresearchprovideengagementwithprinciplesandtechniquesofanalysis,design,andexperimentationinavarietyoffields.Thedepartmentalsooffersarangeofprogramsthatenablestudentstogainexperienceinindustrialsettings,rangingfromcollaborativeindustrialprojectsdoneoncampustoterm-longexperiencesatpartnercompanies. Graduatestudyinthedepartmentmovesstudentstowardmasteryofareasofindividualinterest,throughcourseworkandsignificantresearch,oftendefinedininterdisciplinaryareasthattakeadvantageofthetremendousrangeoffacultyexpertiseinthedepartmentand,morebroadly,acrossMIT. MinorinComputerScience UndergraduateStudy ForMITundergraduates,theDepartmentofElectricalEngineeringandComputerScienceoffersseveralprogramsleadingtotheBachelorofScience: The6-1programleadstotheBachelorofScienceinElectricalScienceandEngineering.ItisaccreditedbytheEngineeringAccreditationCommissionofAccreditationBoardforEngineeringandTechnology(ABET). The6-2programleadstotheBachelorofScienceinElectricalEngineeringandComputerScienceandisforthosewhoseinterestscrossthistraditionalboundary.ItisaccreditedbyboththeEngineeringandComputingAccreditationCommissionsofABET. The6-3programleadstotheBachelorofScienceinComputerScienceandEngineering.ItisaccreditedbyboththeEngineeringandComputingAccreditationCommissionsofABET. The6-7program,offeredjointlybytheDepartmentofElectricalEngineeringandComputerScienceandtheDepartmentofBiology(Course7),isforstudentsspecializingincomputerscienceandmolecularbiology.TherequirementsforthisdegreeprogramcanbefoundinthesectiononInterdisciplinaryPrograms. The6-9program,offeredjointlybytheDepartmentofElectricalEngineeringandComputerScienceandtheDepartmentofBiologyandtheDepartmentofBrainandCognitiveSciences(Course9),focusesontheemergingfieldofcomputationalandengineeringapproachestobrainscience,cognition,andmachineintelligence.TherequirementsforthisdegreeprogramcanbefoundinthesectiononInterdisciplinaryPrograms. The6-14program,offeredjointlybytheDepartmentofElectricalEngineeringandComputerScienceandtheDepartmentofEconomics(Course14),isforstudentsspecializingincomputerscience,economics,anddatascience.TherequirementsfordegreeprogramcanbefoundinthesectiononInterdisciplinaryPrograms. The11-6program,offeredjointlybytheDepartmentofElectricalEngineeringandComputerScienceandtheDepartmentofUrbanStudiesandPlanning(Course11),isforstudentsspecializinginurbanscienceandplanningwithcomputerscience.TherequirementsforthisdegreeprogramcanbefoundinthesectiononInterdisciplinaryPrograms. Thebachelor’sprogramsin6-1,6-2,and6-3buildontheGeneralInstituteRequirementsinscienceandthehumanities,andarestructuredtoprovideearly,hands-onengagementwithideas,activities,andlearningthatallowstudentstoexperiencetherangeandpowerofelectricalengineeringandcomputerscienceinanintegratedway.Therequiredintroductorycoresubject(oneof6.01,6.02,6.03,and6.08)involvessubstantialworkinthelaboratory.Thissubjectiscomplementedbyamathematicssubject,andfollowedbyachoiceofthreefoundationcoursesfromasetofsubjectsthatprovidethebasisforsubsequentspecialization.Studentsdefinetheirspecializationbyselectingthreetofourheadersubjects,twoadvancedundergraduatesubjects,andonetotwoEECSelectivesubjectsfromanextensivesetofpossibilities.Theflexibilityinthesechoicespermitsstudentsconsiderablelatitudeinshapingtheirprogramtomatchdiverseinterests,whileensuringdepthandmasteryinafewselectedareas. Thejointbachelor’sprogramsin6-7providesaninterdepartmentalcurriculuminvolvingrigoroustraininginbothmolecularbiologyandcomputerscience.Studentsbeginwithintroductorycoursesinmath,chemistry,programming,andlabskills.Studentsthenbuildontheseskillswithfivecoursesinalgorithmsandbiology,whichleadtoachoiceofelectivesinbiology,withaparticularfocusoncomputationalbiology. Thejointbachelor’sprogramin6-9isdesignedtogivestudentsaccesstofoundationalandadvancedmaterialinelectricalengineeringandcomputerscience,aswellasinthearchitecture,circuits,andphysiologyofthebrain,andcomputationalapproachestocognitionandintelligence. Thejointbachelor’sprogramin6-14isdesignedtoequipstudentswithafoundationalknowledgeofeconomicanalysis,computing,optimization,anddatascience,aswellashands-onexperiencewithempiricalanalysisofeconomicdata.Studentstakeeightsubjectsthatprovideamathematical,computational,andalgorithmicbasisforthemajor.Fromthere,studentstaketwosubjectsindatascience,twoinintermediateeconomics,andthreeelectivesubjectsfromdatascienceandeconomicstheory. Allstudentsin6-1,6-2,6-3,6-7,or6-9mayalsoapplyforoneoftheMasterofEngineeringprogramsofferedbythedepartment,whichrequireanadditionalyearofstudyforthesimultaneousawardofbothdegrees. MinorinComputerScience ThedepartmentoffersaMinorinComputerScience.Theminorprovidesstudentswithbothdepthandbreadthinthefield,aswellastheopportunitytoexploreareasoftheirowninterest. Tocompletetheminor,studentsmusttakeatleastsixsubjects(six-unitsubjectscountashalf-subjects)totalingatleast72unitsfromthelistsbelow,including: atleastonesoftware-intensivesubject,and onealgorithms-intensivesubjectateitherthebasicoradvancedlevel. IntroductoryLevelSelectupto12unitsofthefollowing:6.0001IntroductiontoComputerScienceProgramminginPython66.0002IntroductiontoComputationalThinkingandDataScience66.01IntroductiontoEECSviaRobotics126.02IntroductiontoEECSviaCommunicationNetworks126.08IntroductiontoEECSviaInterconnectedEmbeddedSystems12BasicLevelSelectupto63unitsofthefollowing:6.004ComputationStructures126.008IntroductiontoInference126.034ArtificialIntelligence126.041IntroductiontoProbability126.042[J]MathematicsforComputerScience1218.200PrinciplesofDiscreteAppliedMathematics1518.200APrinciplesofDiscreteAppliedMathematics1218.211CombinatorialAnalysis12Algorithms-intensive6.006IntroductiontoAlgorithms12Software-intensive6.009FundamentalsofProgramming12AdvancedLevelSelectatleast12unitsofthefollowing:6.033ComputerSystemsEngineering126.036IntroductiontoMachineLearning126.045[J]ComputabilityandComplexityTheory126.046[J]DesignandAnalysisofAlgorithms126.047ComputationalBiology:Genomes,Networks,Evolution126.419[J]Statistics,ComputationandApplications126.801MachineVision126.802[J]ComputationalSystemsBiology:DeepLearningintheLifeSciences126.803TheHumanIntelligenceEnterprise126.804[J]ComputationalCognitiveScience126.806AdvancedNaturalLanguageProcessing126.811[J]PrinciplesandPracticeofAssistiveTechnology126.814DatabaseSystems126.815DigitalandComputationalPhotography126.819AdvancesinComputerVision126.837ComputerGraphics126.905Large-scaleSymbolicSystems1218.404TheoryofComputation12Algorithms-intensive6.046[J]DesignandAnalysisofAlgorithms12Software-intensive6.031ElementsofSoftwareConstruction156.035ComputerLanguageEngineering126.141[J]Robotics:ScienceandSystems126.170SoftwareStudio156.172SoftwarePerformanceEngineering186.175ConstructiveComputerArchitecture126.809126.816MulticoreProgramming12 Inquiries Additionalinformationaboutthedepartment’sundergraduateprogramsmaybeobtainedfromtheEECSUndergraduateOffice,Room38-476,617-253-7329. MasterofEngineeringinElectricalEngineeringandComputerScience(Course6-P) MasterofEngineeringThesisProgramwithIndustry(Course6-A) MasterofEngineeringinComputerScienceandMolecularBiology(Course6-7P) MasterofEngineeringinComputationandCognition(Course6-9P) MasterofScienceinElectricalEngineeringandComputerScience ElectricalEngineerorEngineerinComputerScience DoctorofPhilosophyorDoctorofScience GraduateStudy MasterofEngineering TheDepartmentofElectricalEngineeringandComputerSciencepermitsqualifiedMITundergraduatestudentstoapplyforoneofthreeMasterofEngineering(MEng)programs.Theseprogramsconsistofanadditional,fifthyearofstudybeyondoneoftheBachelorofScienceprogramsofferedbythedepartment. RecipientsofaMasterofEngineeringdegreenormallyreceiveaBachelorofSciencedegreesimultaneously.NothesisisexplicitlyrequiredfortheBachelorofSciencedegree.However,everyprogrammustincludeamajorprojectexperienceatanadvancedlevel,culminatinginwrittenandoralreports. TheMasterofEngineeringdegreealsorequirescompletionof24unitsofthesiscreditunder6.THMMasterofEngineeringProgramThesis.Whileastudentmayregisterformorethanthisnumberofthesisunits,only24unitscounttowardthedegreerequirement.Adjustmentstothedepartmentrequirementsaremadeonanindividualbasiswhenitisclearthatastudentwouldbebetterservedbyavariationintherequirementsbecauseoftheirstrongpriorbackground. Programsleadingtothefive-yearMasterofEngineeringdegreeortothefour-yearBachelorofSciencedegreescaneasilybearrangedtobeidenticalthroughthejunioryear.Attheendofthejunioryear,studentswithstrongacademicrecordsmayapplytocontinuethroughthefive-yearmaster’sprogram.AdmissiontotheMasterofEngineeringprogramisopenonlytoundergraduatestudentswhohavecompletedtheirjunioryearintheDepartmentofElectricalEngineeringandComputerScienceatMIT.Studentswithotherpreparationseekingamaster’slevelexperienceinEECSatMITshouldseetheMasterofScienceprogramdescribedlaterinthissection. AstudentintheMasterofEngineeringprogrammustberegisteredasagraduatestudentforatleastoneregular(non-summer)term.ToremainintheprogramandtoreceivetheMasterofEngineeringdegree,studentswillbeexpectedtomaintainstrongacademicrecords. FourMEngprogramsareavailable: TheMasterofEngineeringinElectricalEngineeringandComputerScience(6-P)programisintendedtoprovidethedepthofknowledgeandtheskillsneededforadvancedgraduatestudyandforprofessionalwork,aswellasthebreadthandperspectiveessentialforengineeringleadershipinanincreasinglycomplextechnologicalworld. The6-AMasterofEngineeringThesisProgramwithIndustrycombinestheMasterofEngineeringacademicprogramwithperiodsofindustrialpracticeataffiliatedcompanies.Anundergraduatewishingtopursuethisdegreeshouldinitiallyregisterforoneofthedepartment’sthreebachelor’sprograms. TheDepartmentofElectricalEngineeringandComputerSciencejointlyoffersaMasterofEngineeringinComputerScienceandMolecularBiology(6-7P)withtheDepartmentofBiology(Course7).Thisprogramismodeledonthe6-Pprogram,butprovidesadditionaldepthincomputationalbiologythroughcourseworkandasubstantialthesis. TheDepartmentofElectricalEngineeringandComputerSciencejointlyoffersaMasterofEngineeringinComputationandCognition(6-9P)withtheDepartmentofBrainandCognitiveSciences(Course9).ThisprogrambuildsontheBachelorofScienceinComputationandCognition,providingadditionaldepthinthesubjectareasthroughadvancedcourseworkandasubstantialthesis. MasterofEngineeringinElectricalEngineeringandComputerScience(Course6-P) Throughaseamless,five-yearcourseofstudy,theMasterofEngineeringinElectricalEngineeringandComputerScience(6-P) programleadsdirectlytothesimultaneousawardingoftheMasterofEngineeringandoneofthethreebachelor’sdegreesofferedbythedepartment.The6-Pprogramisintendedtoprovidetheskillsanddepthofknowledgeinaselectedfieldofconcentrationneededforadvancedgraduatestudyandforprofessionalwork,aswellasthebreadthandperspectiveessentialforengineeringleadershipinanincreasinglycomplextechnologicalworld.Thestudentselects 42unitsfromalistofsubjectsapprovedbytheGraduateOffice;thesesubjects,consideredalongwiththetwoadvancedundergraduatesubjectsfromthebachelor’sprogram,mustincludeatleast36unitsinanareaofconcentration.Afurther24unitsofelectivesarechosenfromarestricteddepartmentallistofmathematics,science,andengineeringsubjects. MasterofEngineeringThesisProgramwithIndustry(Course6-A) The6-AMasterofEngineeringThesisProgramwithIndustryenablesstudentstocombineclassroomstudieswithpracticalexperienceinindustrythroughaseriesofsupervisedworkassignmentsatoneofthecompaniesorlaboratoriesparticipatingintheprogram,culminatingwithaMasterofEngineeringthesisperformedata6-Amembercompany.Collectively,theparticipatingcompaniesprovideawidespectrumofassignmentsinthevariousfieldsofelectricalengineeringandcomputerscience,aswellasanexposuretothekindsofactivitiesinwhichengineersarecurrentlyengaged.Sinceacontinuingliaisonbetweenthecompaniesandfacultyofthedepartmentismaintained,studentsreceiveassignmentsofprogressiveresponsibilityandsophisticationthatareusuallymoreprofessionallyrewardingthantypicalsummerjobs.The6-Aprogramisprimarilydesignedtoworkinconjunctionwiththedepartment'sfive-yearMasterofEngineeringdegreeprogram.Internshipstudentsgenerallycompletethreeassignmentswiththeircooperatingcompany—usuallytwosummersandoneregularterm.Whileon6-Aassignment,studentsreceivepayfromtheparticipatingcompanyaswellasacademiccreditfortheirwork.Duringtheirgraduateyear,6-Astudentsgenerallyreceivea6-Afellowshiporaresearchorteachingassistantshiptohelppayforthegraduateyear.Thedepartmentconductsafallrecruitmentduringwhichjuniorswhowishtoworktowardanindustry-basedMasterofEngineeringthesismayapplyforadmissiontothe6-Aprogram.Acceptanceofastudentintotheprogramcannotbeguaranteed,asopeningsarelimited.Attheendoftheirjunioryear,most6-Astudentscanapplyforadmissionto6-PA,whichisthe6-Aversionofthedepartment'sfive-year6-PMasterofEngineeringdegreeprogram.6-PAstudentsdotheirMasterofEngineeringthesisattheirparticipatingcompany'sfacilities.Theycanapplyupto24unitsofwork-assignmentcredittowardtheirMasterofEngineeringdegree.Thefirst6-Aassignmentmaybeusedfortheadvancedundergraduateprojectthatisrequiredforawardofabachelor'sdegree,byincludingawrittenreportandobtainingapprovalbyafacultymember.Attheconclusionoftheirprogram,6-Astudentsarenotobligedtoacceptemploymentwiththecompany,noristhecompanyobligedtooffersuchemployment.Additionalinformationabouttheprogramisavailableatthe6-AOffice,Room38-409E,617-253-4644. MasterofEngineeringinComputerScienceandMolecularBiology(Course6-7P) TheDepartmentsofBiologyandElectricalEngineeringandComputerSciencejointlyofferaMasterofEngineeringinComputerScienceandMolecularBiology(6-7P).AdetaileddescriptionoftheprogramrequirementsmaybefoundunderthesectiononInterdisciplinaryPrograms. MasterofEngineeringinComputationandCognition(Course6-9P) TheDepartmentsofBrainandCognitiveSciencesandElectricalEngineeringandComputerSciencejointlyofferaMasterofEngineeringinComputationandCognition(6-9P).AdetaileddescriptionoftheprogramrequirementsmaybefoundunderthesectiononInterdisciplinaryPrograms. PredoctoralandDoctoralPrograms TheprogramsofeducationofferedbytheDepartmentofElectricalEngineeringandComputerScienceatthedoctoralandpredoctorallevelhavethreeaspects.First,avarietyofclassroomsubjectsinphysics,mathematics,andfundamentalfieldsofelectricalengineeringandcomputerscienceisprovidedtopermitstudentstodevelopstrongscientificbackgrounds.Second,morespecializedclassroomandlaboratorysubjectsandawidevarietyofcolloquiaandseminarsintroducethestudenttotheproblemsofcurrentinterestinmanyfieldsofresearch,andtothetechniquesthatmaybeusefulinattackingthem.Third,eachstudentconductsresearchunderthedirectsupervisionofamemberofthefacultyandreportstheresultsinathesis. ThreeadvanceddegreeprogramsareofferedinadditiontotheMasterofEngineeringprogramdescribedabove.Awell-preparedstudentwithabachelor'sdegreeinanappropriatefieldfromsomeschoolotherthanMIT(orfromanotherdepartmentatMIT)normallyrequiresaboutoneandone-halftotwoyearstocompletetheformalstudiesandtherequiredthesisresearchintheMasterofSciencedegreeprogram.(StudentswhohavebeenundergraduatesinElectricalEngineeringandComputerScienceatMITandwhoseekopportunitiesforfurtherstudymustcompletetheMasterofEngineeringratherthantheMasterofSciencedegreeprogram.)Withanadditionalyearofstudyandresearchbeyondthemaster'slevel,astudentinthedoctoralorpredoctoralprogramcancompletetherequirementsforthedegreeofElectricalEngineerorEngineerinComputerScience.Thedoctoralprogramusuallytakesaboutfourtofiveyearsbeyondthemaster'slevel. Therearenofixedprogramsofstudyforthesedoctoralandpredoctoraldegrees.Eachstudentplansaprograminconsultationwithafacultyadvisor.Astheprogrammovestowardthesisresearch,itusuallycentersinoneofanumberofareas,eachcharacterizedbyanactiveresearchprogram.Areasofspecializationinthedepartmentthathaveactiveresearchprogramsandrelatedgraduatesubjectsincludecommunications,control,signalprocessing,andoptimization;computerscience;artificialintelligence,robotics,computervision,andgraphics;electronics,computers,systems,andnetworks;electromagneticsandelectrodynamics;optics,photonics,andquantumelectronics;energyconversiondevicesandsystems;powerengineeringandpowerelectronics;materialsanddevices;VLSIsystemdesignandtechnology;nanoelectronics;bioelectricalengineering;andcomputationalbiology. Inadditiontograduatesubjectsinelectricalengineeringandcomputerscience,manystudentsfinditprofitabletostudysubjectsinotherdepartmentssuchasBiology,BrainandCognitiveSciences,Economics,LinguisticsandPhilosophy,Management,Mathematics,andPhysics. Theinformalseminarisanimportantmechanismforbringingtogethermembersofthevariousresearchgroups.Numerousseminarsmeeteveryweek.Inthese,graduatestudents,faculty,andvisitorsreporttheirresearchinanatmosphereoffreediscussionandcriticism.Theseopenseminarsareexcellentplacestolearnaboutthevariousresearchactivitiesinthedepartment. Researchactivitiesinelectricalengineeringandcomputersciencearecarriedonbystudentsandfacultyinlaboratoriesofextraordinaryrangeandstrength,includingtheLaboratoryforInformationandDecisionSystems,ResearchLaboratoryofElectronics,ComputerScienceandArtificialIntelligenceLaboratory,LaboratoryforEnergyandtheEnvironment(seeMITEnergyInitiative),KavliInstituteforAstrophysicsandSpaceResearch,LincolnLaboratory,MaterialsResearchLaboratory,MITMediaLab,FrancisBitterMagnetLaboratory,OperationsResearchCenter,PlasmaScienceandFusionCenter,andtheMicrosystemsTechnologyLaboratories.Descriptionsofmanyoftheselaboratoriesmaybefoundunderthesectionon ResearchandStudy. Becausethebackgroundsofapplicantstothedepartment'sdoctoralandpredoctoralprogramsareextremelyvaried,bothastofield(electricalengineering,computerscience,physics,mathematics,biomedicalengineering,etc.)andastolevelofpreviousdegree(bachelor'sormaster's),nospecificadmissionsrequirementsarelisted.Allapplicantsforanyoftheseadvancedprogramswillbeevaluatedintermsoftheirpotentialforsuccessfulcompletionofthedepartment'sdoctoralprogram.Superiorachievementinrelevanttechnicalfieldsisconsideredparticularlyimportant. MasterofScienceinElectricalEngineeringandComputerScience ThegeneralrequirementsforthedegreeofMasterofSciencearelistedunderGraduateEducation.Thedepartmentrequiresthatthe66-unitprogramconsistofatleastfoursubjectsfromalistofapprovedsubjectsbytheGraduate Office whichmustincludeaminimumof42unitsofadvancedgraduatesubjects.Inaddition,a24-unitthesisisrequiredbeyondthe66units.Studentsworkingfull-timefortheMasterofSciencedegreemaytakeasmanyasfourclassroomsubjectsperterm.Thesubjectsarewhollyelectiveandarenotrestrictedtothosegivenbythedepartment.Theprogramofstudymustbewellbalanced,emphasizingoneormoreofthetheoreticalorexperimentalaspectsofelectricalengineeringorcomputerscience. ElectricalEngineerorEngineerinComputerScience Thegeneralrequirementsforanengineer'sdegreearegivenunderthesectiononGraduateEducation.Thesedegreesareopentothoseablestudentsinthedoctoralorpredoctoralprogramwhoseekmoreextensivetrainingandresearchexperiencesthanarepossiblewithinthemaster'sprogram.Admissiontotheengineer'sprogramdependsuponasuperioracademicrecordandoutstandingprogressonathesis.Thecourseofstudiesconsistsofatleast162units,90ofwhichmustbefromalistofsubjectsapprovedbytheGraduateOffice,andthethesisrequirementsforamaster'sdegree. DoctorofPhilosophyorDoctorofScience ThegeneralrequirementsforthedegreeofDoctorofPhilosophyorDoctorofSciencearegivenunderthesectiononGraduateEducation.Doctoralcandidatesareexpectedtoparticipatefullyintheeducationalprogramofthedepartmentandtoperformthesisworkthatisasignificantcontributiontoknowledge.Aspreparation,MITstudentsintheMasterofEngineeringinElectricalEngineeringandComputerScienceprogramwillbeexpectedtocompletethatprogram.Studentswhohavereceivedabachelor'sdegreeoutsidethedepartment,butwhohavenotcompletedamaster'sdegreeprogram,willnormallybeexpectedtocompletetherequirementsfortheMasterofSciencedegreedescribedearlier,includingathesis.Studentswhohavecompletedamaster'sdegreeelsewherewithoutasignificantresearchcomponentwillberequiredtoregisterforandcarryoutaresearchaccomplishmentequivalenttoamaster'sthesisbeforebeingallowedtoproceedinthedoctoralprogram.Detailsofhowstudentsinthedepartmentfulfilltherequirementsforthedoctoralprogramarespelledoutinaninternalmemorandum.Thedepartmentdoesnothaveaforeignlanguagerequirement,butdoesrequireanapprovedminorprogram.GraduatestudentsenrolledinthedepartmentmayparticipateintheresearchcentersdescribedintheResearchandStudysection,suchastheOperationsResearchCenter. FinancialSupport MasterofEngineeringDegreeStudents StudentsinthefifthyearofstudytowardtheMasterofEngineeringdegreearecommonlysupportedbyagraduateteachingorresearchassistantship.Inthe6-AMasterofEngineeringThesisProgramwithIndustry,studentsaresupportedbypaidcompanyinternships.Studentssupportedbyfull-timeresearchorteachingassistantshipsmayregisterfornomorethantworegularclassestotalingatmost27units.Theyreceiveadditionalacademicunitsfortheirparticipationintheteachingorresearchprogram.SupportthroughanassistantshipmayextendtheperiodrequiredtocompletetheMasterofEngineeringprogrambyanadditionaltermortwo.SupportisgrantedcompetitivelytograduatestudentsandmaynotbeavailableforallofthoseadmittedtotheMasterofEngineeringprogram.TheMEngdegreeisnormallycompletedbystudentstakingafullloadofregularsubjectsintwograduateterms.Studentsreceivingassistantshipscommonlyrequireathirdtermandmaypetitiontocontinueforafourthgraduateterm. MasterofScience,Engineer,andDoctoralDegreeStudents Studiestowardanadvanceddegreecanbesupportedbypersonalfunds,byanawardsuchastheNationalScienceFoundationFellowship(whichthestudentbringstoMIT),byafellowshiportraineeshipawardedbyMIT,orbyagraduateassistantship.Assistantshipsrequireparticipationinresearchorteachinginthedepartmentorinoneoftheassociatedlaboratories.Full-timeassistantsmayregisterfornomorethantwoscheduledclassroomorlaboratorysubjectsduringtheterm,butmayreceiveadditionalacademiccreditfortheirparticipationintheteachingorresearchprogram. Inquiries Additionalinformationconcerninggraduateacademicandresearchprograms,admissions,financialaid,andassistantshipsmaybeobtainedfromtheElectricalEngineeringandComputerScienceGraduateOffice,Room38-444,617-253-4605,orvisittheEECSwebsite. InterdisciplinaryPrograms ComputationalScienceandEngineeringTheMasterofScienceinComputationalScienceandEngineering(CSESM)isaninterdisciplinaryprogramthatprovidesstudentswithastrongfoundationincomputationalmethodsforapplicationsinscienceandengineering.TheCSESMprogramtrainsstudentsintheformulation,analysis,implementation,andapplicationofcomputationalapproachesviaacommoncore,whichservesallscienceandengineeringdisciplines,andanelectivecomponentwhichfocusesonparticulardisciplinaryapplications.Theprogramemphasizes: Breadththroughintroductorycoursesinnumericalanalysis,simulation,andoptimization Depthinthestudent’schosenfield Multidisciplinaryaspectsofcomputation Hands-onexperiencethroughprojects,assignments,andamaster'sthesisCurrentMITgraduatestudentsmaypursueaCSESMinconjunctionwithadepartment-basedmaster'sorPhDprogram.Formoreinformation,seethefullprogramdescriptionunderInterdisciplinaryGraduatePrograms. JointProgramwiththeWoodsHoleOceanographicInstitutionTheJointProgramwiththeWoodsHoleOceanographicInstitution(WHOI) isintendedforstudentswhoseprimarycareerobjectiveisoceanographyoroceanographicengineering.StudentsdividetheiracademicandresearcheffortsbetweenthecampusesofMITandWHOI.JointProgramstudentsareassignedanMITfacultymemberasacademicadvisor;thesisresearchmaybesupervisedbyMITorWHOIfaculty.WhileinresidenceatMIT,studentsfollowaprogramsimilartothatofotherstudentsintheirhomedepartment.TheprogramisdescribedinmoredetailunderInterdisciplinaryGraduatePrograms. LeadersforGlobalOperationsThe24-monthLeadersforGlobalOperations(LGO) program combinesgraduatedegreesinengineeringandmanagementforthosewithpreviouspostgraduateworkexperienceandstrongundergraduatedegreesinatechnicalfield.Duringthetwo-yearprogram,studentscompleteasix-monthinternship atoneofLGO'spartnercompanies,where theyconduct researchthat formsthebasisofadual-degreethesis.StudentsfinishtheprogramwithtwoMITdegrees:anMBA(orSMinmanagement)andanSMfromoneofeightengineeringprograms,someofwhichhaveoptionalorrequiredLGOtracks. Aftergraduation,alumni leadstrategicinitiativesinhigh-tech,operations,andmanufacturingcompanies. SystemDesignandManagementTheSystemDesignandManagement(SDM) programisapartnershipamongindustry,government,andtheuniversityforeducatingtechnicallygroundedleadersof21st-centuryenterprises.JointlysponsoredbytheSchoolofEngineeringandtheSloanSchoolofManagement,itisMIT'sfirstdegreeprogramtobeofferedwithadistancelearningoptioninadditiontoafull-timein-residenceoption. TechnologyandPolicyTheMasterofScienceinTechnologyandPolicyisanengineeringresearchdegreewithastrongfocusontheroleoftechnologyinpolicyanalysisandformulation.TheTechnologyandPolicyProgram(TPP)curriculumprovidesasolidgroundingintechnologyandpolicybycombiningadvancedsubjectsinthestudent'schosentechnicalfieldwithcoursesineconomics,politics,quantitativemethods,andsocialscience.ManystudentscombineTPP'scurriculumwithcomplementarysubjectstoobtaindualdegreesinTPPandeitheraspecializedbranchofengineeringoranappliedsocialsciencesuchaspoliticalscienceorurbanstudiesandplanning.SeetheprogramdescriptionundertheInstituteforData,Systems,andSociety. FacultyandTeachingStaffAsumanE.Ozdaglar,PhDMathWorksProfessorHead,DepartmentofElectricalEngineeringandComputerScienceProfessorofElectricalEngineeringDeputyDeanofAcademics,MITSchwarzmanCollegeofComputingMember,InstituteforData,Systems,andSocietyArvindMithal,PhDCharlesW.andJenniferC.JohnsonProfessorProfessorofComputerScienceandEngineeringFacultyHead,ComputerScience,DepartmentofElectricalEngineeringandComputerScienceAntonioTorralba,PhDDeltaElectronicsProfessorProfessorofElectricalEngineeringandComputerScienceFacultyHead,ArtificalIntelligenceandDecision-Making,DepartmentofElectricalEngineeringandComputerScienceJoelVoldman,PhDClarenceJ.LeBelProfessorProfessorofElectricalEngineeringFacultyHead,ElectricalEngineering,DepartmentofElectricalEngineeringandComputerScienceProfessorsHaroldAbelson,PhDClassof1992ProfessorProfessorofElectricalEngineeringandComputerScienceElfarAdalsteinsson,PhDEaton-PeabodyProfessorProfessorofElectricalEngineeringCoreFaculty,InstituteforMedicalEngineeringandScienceAnantAgarwal,PhDProfessorofElectricalEngineeringandComputerScienceAkintundeI.Akinwande,PhDThomasandGerdPerkinsProfessorProfessorofElectricalEngineeringSamanP.Amarasinghe,PhDProfessorofComputerScienceandEngineeringDimitriA.Antoniadis,PhDRayandMariaStataProfessorPost-TenureProfessorPost-TenureofElectricalEngineeringHariBalakrishnan,PhDFujitsuProfessorProfessorofElectricalEngineeringandComputerScienceMarcA.Baldo,PhDDugaldC.JacksonProfessorProfessorofElectricalEngineeringReginaBarzilay,PhDSchoolofEngineeringDistinguishedProfessorforAIandHealthProfessorofElectricalEngineeringandComputerScienceAffiliateFaculty,InstituteforMedicalEngineeringandScienceKarlK.Berggren,PhDProfessorofElectricalEngineeringDimitriP.Bertsekas,PhDJerryMcAfee(1940)ProfessorPost-TenureProfessorPost-TenureofElectricalEngineeringMember,InstituteforData,Systems,andSocietyRobertC.Berwick,PhDProfessorofComputerScienceandEngineeringandComputationalLinguisticsMember,InstituteforData,Systems,andSocietySangeetaN.Bhatia,MD,PhDJohnJ.andDorothyWilsonProfessorofHealthSciencesandTechnologyProfessorofElectricalEngineeringandComputerScienceCoreFaculty,InstituteforMedicalEngineeringandScienceDuaneS.Boning,PhDClarenceJ.LeBelProfessorProfessorofElectricalEngineering(Onleave)VladimirBulović,PhDFariborzMaseeh(1990)ProfessorinEmergingTechnologyProfessorofElectricalEngineeringVincentW.S.Chan,PhDJoanandIrwinM.(1957)JacobsProfessorProfessorofElectricalEngineeringAnanthaP.Chandrakasan,PhDVannevarBushProfessorProfessorofElectricalEngineeringandComputerScienceDean,SchoolofEngineeringIsaacChuang,PhDProfessorofElectricalEngineeringProfessorofPhysicsMuntherA.Dahleh,PhDWilliamA.CoolidgeProfessorProfessorofElectricalEngineeringandComputerScienceDirector,InstituteforData,Systems,andSocietyLucaDaniel,PhDProfessorofElectricalEngineeringandComputerScienceKonstantinosDaskalakis,PhDProfessorofElectricalEngineeringandComputerScienceRandallDavis,PhDProfessorofComputerScienceandEngineeringJesúsA.delAlamo,PhDDonnerProfessorofScienceProfessorofElectricalEngineeringErikD.Demaine,PhDProfessorofComputerScienceandEngineeringSrinivasDevadas,PhDEdwinSibleyWebsterProfessorProfessorofElectricalEngineeringFredericDurand,PhDAmarBoseProfessorofComputingProfessorofComputerScienceandEngineeringDennisM.Freeman,PhDHenryEllisWarren(1894)ProfessorProfessorofElectricalEngineeringMember,HealthSciencesandTechnologyFacultyWilliamT.Freeman,PhDThomasandGerdPerkinsProfessorPost-TenureProfessorPost-TenureofElectricalEngineeringandComputerScienceJamesG.Fujimoto,PhDElihuThomsonProfessorProfessorofElectricalEngineeringDavidK.Gifford,PhDProfessorofComputerScienceandEngineeringShafriraGoldwasser,PhDRSAProfessorPost-TenureProfessorPost-TenureofComputerScienceandEngineeringPolinaGolland,PhDHenryEllisWarren(1894)ProfessorProfessorofComputerScienceandEngineeringMember,InstituteforData,Systems,andSocietyAffiliateFaculty,InstituteforMedicalEngineeringandScienceMarthaL.Gray,PhDJ.W.KieckheferProfessorofHealthSciencesandTechnologyProfessorofElectricalEngineeringandComputerScienceCoreFaculty,InstituteforMedicalEngineeringandScienceW.EricL.Grimson,PhDBernardM.GordonProfessorinMedicalEngineeringProfessorofComputerScienceandEngineeringChancellorforAcademicAdvancementAlanJ.Grodzinsky,ScDProfessorPost-TenureofBiologicalEngineeringProfessorPost-TenureofElectricalEngineeringProfessorPost-TenureofMechanicalEngineeringJohnV.Guttag,PhDDugaldC.JacksonProfessorProfessorofElectricalEngineeringandComputerScience(Onleave,spring)JongyoonHan,PhDProfessorofElectricalEngineeringProfessorofBiologicalEngineeringFrederickC.HennieIII,PhDProfessorPost-TenureofComputerScienceandEngineeringBertholdKlausPaulHorn,PhDProfessorPost-TenureofComputerScienceandEngineeringQingHu,PhDDistinguishedProfessorProfessorofElectricalEngineeringDanielHuttenlocher,PhDHenryEllisWarren(1894)ProfessorProfessorofElectricalEngineeringandComputerScienceDean,MITSchwarzmanCollegeofComputingPiotrIndyk,PhDThomasD.andVirginiaW.CabotProfessorProfessorofElectricalEngineeringandComputerScienceTommiS.Jaakkola,PhDThomasSiebelProfessorProfessorofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSocietyDanielJackson,PhDProfessorofComputerScienceandEngineeringPatrickJaillet,PhDDugaldC.JacksonProfessorProfessorofElectricalEngineeringandComputerScienceProfessorofCivilandEnvironmentalEngineeringMember,InstituteforData,Systems,andSocietyM.FransKaashoek,PhDCharlesA.Piper(1935)ProfessorProfessorofElectricalEngineeringandComputerScience(Onleave)LeslieP.Kaelbling,PhDPanasonicProfessorProfessorofComputerScienceandEngineeringDavidR.Karger,PhDProfessorofComputerScienceandEngineeringDinaKatabi,PhDThuanandNicolePhamProfessorProfessorofElectricalEngineeringandComputerScienceManolisKellis,PhDProfessorofComputerScienceJamesL.KirtleyJr,PhDProfessorPost-TenureofElectricalEngineeringLeslieA.Kolodziejski,PhDProfessorofElectricalEngineeringJingKong,PhDProfessorofElectricalEngineeringJeffreyH.Lang,PhDVitesseProfessorProfessorofElectricalEngineeringHae-SeungLee,PhDAdvancedTelevisionandSignalProcessingProfessorProfessorofElectricalEngineeringStevenB.Leeb,PhDProfessorofElectricalEngineeringProfessorofMechanicalEngineeringCharlesE.Leiserson,PhDEdwinSibleyWebsterProfessorProfessorofElectricalEngineeringJaeS.Lim,PhDProfessorPost-TenureofElectricalEngineeringBarbaraH.Liskov,PhDInstituteProfessorPost-TenureProfessorPost-TenureofComputerScienceTomásLozano-Pérez,PhDSchoolofEngineeringProfessorofTeachingExcellenceProfessorofElectricalEngineeringandComputerScienceNancyAnnLynch,PhDNECProfessorofSoftwareScienceandEngineeringProfessorofElectricalEngineeringandComputerScienceSamuelR.Madden,PhDCollegeofComputingDistinguishedProfessorofComputingProfessorofComputerScienceandEngineeringAleksanderMadry,PhDCadenceDesignSystemsProfessorProfessorofComputerScienceThomasL.Magnanti,PhDInstituteProfessorProfessorofOperationsResearchProfessorofElectricalEngineeringWojciechMatusik,PhDProfessorofElectricalEngineeringandComputerScienceMurielMédard,ScDCecilH.GreenProfessorProfessorofElectricalEngineeringandComputerScienceAlexandreMegretski,PhDProfessorofElectricalEngineeringMember,InstituteforData,Systems,andSocietySilvioMicali,PhDFordFoundationProfessorPost-TenureofEngineeringProfessorPost-TenureofComputerScienceandEngineeringRobertC.Miller,PhDDistinguishedProfessorofComputerScienceProfessorofComputerScienceandEngineeringSanjoyK.Mitter,PhDProfessorPost-TenureofElectricalEngineeringMember,InstituteforData,Systems,andSocietyRobertT.Morris,PhDProfessorofComputerScienceandEngineering(Onleave,fall)JoelMoses,PhDInstituteProfessorPost-TenureProfessorPost-TenureofElectricalEngineeringandComputerScienceWilliamD.Oliver,PhDProfessorofElectricalEngineeringandComputerScienceAlanV.Oppenheim,PhDFordProfessorPost-TenureofEngineeringProfessorPost-TenureofElectricalEngineeringandComputerScienceTerryPhilipOrlando,PhDProfessorPost-TenureofElectricalEngineeringTomásPalacios,PhDProfessorofElectricalEngineeringPabloA.Parrilo,PhDJosephF.andNancyP.KeithleyProfessorProfessorofElectricalEngineeringandComputerScienceProfessorofMathematicsMember,InstituteforData,Systems,andSocietyDavidJ.Perreault,PhDJosephF.andNancyP.KeithleyProfessorProfessorofElectricalEngineeringandComputerScienceRajeevJ.Ram,PhDProfessorofElectricalEngineeringL.RafaelReif,PhDPresidentProfessorofElectricalEngineeringMartinC.Rinard,PhDProfessorofComputerScienceandEngineeringRonaldL.Rivest,PhDInstituteProfessorProfessorofComputerScienceandEngineeringRonittRubinfeld,PhDEdwinSibleyWebsterProfessorProfessorofComputerScienceandEngineeringDanielaL.Rus,PhDAndrew(1956)andErnaViterbiProfessorProfessorofComputerScienceandEngineeringDeputyDeanofResearch,MITSchwarzmanCollegeofComputingMartinA.Schmidt,PhDRayandMariaStataProfessorProfessorofElectricalEngineeringandComputerScienceProvostDevavratShah,PhDAndrew(1956)andErnaViterbiProfessorProfessorofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSociety(Onleave,fall)JeffreyH.Shapiro,PhDJuliusA.StrattonProfessorPost-TenureProfessorPost-TenureofElectricalEngineeringNirN.Shavit,PhDProfessorofElectricalEngineeringandComputerScienceCharlesG.Sodini,PhDClarenceJ.LeBelProfessorPost-TenureProfessorPost-TenureofElectricalEngineeringCoreFaculty,InstituteforMedicalEngineeringandScienceArmandoSolarLezama,PhDProfessorofElectricalEngineeringandComputerScienceCollinM.Stultz,MD,PhDNinaT.andRobertH.RubinProfessorProfessorinBiomedicalEngineeringProfessorofElectricalEngineeringandComputerScienceCoreFaculty,InstituteforMedicalEngineeringandScienceGeraldJaySussman,PhDPanasonicProfessorProfessorofElectricalEngineeringPeterSzolovits,PhDProfessorofComputerScienceandEngineeringAffiliateFaculty,InstituteforMedicalEngineeringandScience(Onleave)RussellL.Tedrake,PhDToyotaProfessorProfessorofComputerScienceandEngineeringProfessorofAeronauticsandAstronauticsProfessorofMechanicalEngineeringBruceTidor,PhDProfessorofElectricalEngineeringandComputerScienceProfessorofBiologicalEngineeringJohnN.Tsitsiklis,PhDClarenceJ.LeBelProfessorProfessorofElectricalEngineeringMember,InstituteforData,Systems,andSociety(Onleave,fall)VinodVaikuntanathan,PhDProfessorofElectricalEngineeringandComputerScienceGeorgeC.Verghese,PhDHenryEllisWarren(1894)ProfessorPost-TenureProfessorPost-TenureofElectricalandBiomedicalEngineeringCardinalWarde,PhDProfessorofElectricalEngineering(Onleave,spring)JacobK.White,PhDCecilH.GreenProfessorProfessorofElectricalEngineeringRyanWilliams,PhDProfessorofElectricalEngineeringandComputerScienceAlanS.Willsky,PhDEdwinSibleyWebsterProfessorPost-TenureProfessorPost-TenureofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSocietyGregoryW.Wornell,PhDSumitomoElectricIndustriesProfessorinEngineeringProfessorofElectricalEngineeringMember,InstituteforData,Systems,andSociety(Onleave)NickolaiZeldovich,PhDProfessorofElectricalEngineeringandComputerScienceLizhongZheng,PhDProfessorofElectricalEngineeringVictorW.Zue,ScDDeltaElectronicsProfessorPost-TenureProfessorPost-TenureofElectricalEngineeringandComputerScienceAssociateProfessorsFadelAdib,PhDDohertyChairinOceanUtilizationAssociateProfessorofMediaArtsandSciencesAssociateProfessorofElectricalEngineeringandComputerScienceMohammadrezaAlizadehAttar,PhDAssociateProfessorofElectricalEngineeringandComputerScienceGuyBresler,PhDAssociateProfessorofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSocietyTamaraBroderick,PhDAssociateProfessorofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSocietyMichaelJ.Carbin,PhDAssociateProfessorofElectricalEngineeringandComputerScienceAdamChlipala,PhDAssociateProfessorofElectricalEngineeringandComputerScienceDirkRobertEnglund,PhDAssociateProfessorofElectricalEngineeringandComputerSciencePeterL.Hagelstein,PhDAssociateProfessorofElectricalEngineeringRuonanHan,PhDAssociateProfessorofElectricalEngineeringandComputerScienceThomasHeldt,PhDAssociateProfessorofElectricalEngineeringandComputerScienceCoreFaculty,InstituteforMedicalEngineeringandScienceStefanieSabrinaJegelka,ScDAssociateProfessorofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSocietyTimKraska,PhDAssociateProfessorofElectricalEngineeringandComputerScienceLuqiaoLiu,PhDAssociateProfessorofElectricalEngineeringandComputerScienceTimothyK.Lu,MD,PhDAssociateProfessorofElectricalEngineeringAssociateProfessorofBiologicalEngineeringStefanieMueller,PhDAssociateProfessorofElectricalEngineeringandComputerScienceAssociateProfessorofMechanicalEngineeringYuryPolyanskiy,PhDAssociateProfessorofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSocietyJenniferL.M.Rupp,PhDAssociateProfessorofMaterialsScienceandEngineeringAssociateProfessorofElectricalEngineeringandComputerScienceDanielSánchezMartín,PhDAssociateProfessorofElectricalEngineeringandComputerScienceMaxM.Shulaker,PhDAssociateProfessorofElectricalEngineeringandComputerScience(Onleave,fall)JulianShun,PhDAssociateProfessorofElectricalEngineeringandComputerScienceJustinSolomon,PhDAssociateProfessorofElectricalEngineeringandComputerScience(Onleave,spring)DavidSontag,PhDVonHelmholtzProfessorofMedicalEngineeringAssociateProfessorofElectricalEngineeringandComputerScienceCoreFaculty,InstituteforMedicalEngineeringandScienceSuvritSra,PhDEstherandHaroldEdgertonCareerDevelopmentProfessorAssociateProfessorofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSocietyVivienneSze,PhDAssociateProfessorofElectricalEngineeringandComputerScience(Onleave)CarolineUhler,PhDAssociateProfessorofElectricalEngineeringandComputerScienceMember,InstituteforData,Systems,andSocietyVirginiaWilliams,PhDAssociateProfessorofElectricalEngineeringandComputerScienceAssistantProfessorsPulkitAgrawal,PhDStevenG.(1968)andRenéeFinnCareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceJacobAndreas,PhDX-WindowConsortiumCareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceAdamBelay,PhDJamiesonCareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceYuFengChen,PhDD.ReidWeedonJr.'41CareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceConnorW.Coley,PhDHeynySlezyngerCareerDevelopmentProfessorAssistantProfessorofChemicalEngineeringAssistantProfessorofElectricalEngineeringandComputerScienceHenryCorrigan-Gibbs,PhDDouglasRoss(1954)CareerDevelopmentProfessorofSoftwareTechnologyAssistantProfessorofElectricalEngineeringandComputerScienceMarzyehGhassemi,PhDHermanL.F.vonHelmholtzCareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceCoreFaculty,InstituteforMedicalEngineeringandScienceManyaGhobadi,PhDTIBCOCareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScience(Onleave,spring)DylanJ.Hadfield-Menell,PhDAssistantProfessorofElectricalEngineeringandComputerScienceSongHan,PhDRobertJ.Shillman(1974)CareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerSciencePhillipJohnIsola,PhDAssistantProfessorofElectricalEngineeringandComputerScienceYoonKim,PhDAssistantProfessorofElectricalEngineeringandComputerScienceAnandVenkatNatarajan,PhDAssistantProfessorofElectricalEngineeringandComputerScienceFarnazNiroui,PhDE.E.Landsman(1958)CareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceJelenaNotaros,PhDAssistantProfessorofElectricalEngineeringandComputerScienceKevinO'Brien,PhDEmanuelE.Landsman(1958)CareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceJonathanM.Ragan-Kelley,PhDEdgertonCareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceNegarReiskarimian,PhDX-WindowConsortiumCareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceArvindSatyanarayan,PhDAssistantProfessorofElectricalEngineeringandComputerScience(Onleave,spring)TessE.Smidt,PhDAssistantProfessorofElectricalEngineeringandComputerScienceAshiaWilson,PhDAssistantProfessorofElectricalEngineeringandComputerScienceMengjiaYan,PhDHomerA.BurnellCareerDevelopmentProfessorAssistantProfessorofElectricalEngineeringandComputerScienceGuangyuRobertYang,PhDAssistantProfessorofBrainandCognitiveSciencesAssistantProfessorofElectricalEngineeringandComputerScienceSixianYou,PhDAssistantProfessorofElectricalEngineeringandComputerScienceProfessorsofthePracticeJoelS.Emer,PhDProfessorofthePracticeofElectricalEngineeringandComputerScienceAdjunctProfessorsDavidJ.DeWitt,PhDAdjunctProfessorofComputerScienceandEngineeringButlerW.Lampson,PhDAdjunctProfessorofComputerScienceandEngineeringMichaelStonebraker,PhDAdjunctProfessorofComputerScienceandEngineeringAdjunctAssociateProfessorsYaelKalai,PhDAdjunctAssociateProfessorofElectricalEngineeringandComputerScienceSeniorLecturersTonyEng,PhDSeniorLecturerinElectricalEngineeringandComputerScienceAdamJ.Hartz,MEngSeniorLecturerinElectricalEngineeringandComputerScienceGimP.Hom,MS,MS,EESeniorLecturerinElectricalEngineeringandComputerScienceKatrinaLeighLaCurts,PhDSeniorLecturerinElectricalEngineeringandComputerScienceLecturersZacharyR.Abel,PhDLecturerinElectricalEngineeringandComputerScienceMuhammadJehangirAmjad,PhDLecturerinElectricalEngineeringandComputerScienceAnaBell,PhDPrincipalLecturerinElectricalEngineeringandComputerScienceIddoDrori,PhDLecturerinElectricalEngineeringandComputerScienceMaxGoldman,PhDPrincipalLecturerinElectricalEngineeringandComputerScienceSilvinaZ.HanonoWachman,PhDPrincipalLecturerinElectricalEngineeringandComputerScienceMauricioKarchmer,PhDLecturerinElectricalEngineeringandComputerScienceKimberleKoile,PhDPrincipalLecturerinElectricalEngineeringandComputerScienceJosephDalySteinmeyer,PhDPrincipalLecturerinElectricalEngineeringandComputerScienceTechnicalInstructorsDavidL.LewisTechnicalInstructorofElectricalEngineeringandComputerScienceAnthonyPennes,SBTechnicalInstructorofElectricalEngineeringandComputerScienceProfessorsEmeritiArthurB.Baggeroer,ScDProfessorEmeritusofMechanicalandOceanEngineeringProfessorEmeritusofElectricalEngineeringTimBerners-Lee,BA3ComFoundersProfessorEmeritusofEngineeringLouisD.Braida,PhDHenryEllisWarren(1894)ProfessorEmeritusProfessorEmeritusofElectricalEngineeringProfessorEmeritusofHealthSciencesandTechnologyRodneyBrooks,PhDProfessorEmeritusofComputerScienceandEngineeringJamesDonaldBruce,ScDProfessorEmeritusofElectricalEngineeringJackB.Dennis,ScDProfessorEmeritusofComputerScienceandEngineeringMurrayEden,PhDProfessorEmeritusofElectricalEngineeringCliftonG.FonstadJr,PhDVitesseProfessorEmeritusProfessorEmeritusofElectricalEngineeringG.DavidForney,ScDAdjunctProfessorEmeritusofElectricalEngineeringRobertG.Gallager,ScDProfessorEmeritusofElectricalEngineeringCarlEddieHewitt,PhDAssociateProfessorEmeritusofComputerScienceandEngineeringErichP.Ippen,PhDElihuThomsonProfessorEmeritusProfessorEmeritusofPhysicsProfessorEmeritusofElectricalEngineeringJohnG.Kassakian,ScDProfessorEmeritusofElectricalEngineeringFrancisFanLee,PhDProfessorEmeritusofElectricalEngineeringandComputerScienceAlbertR.Meyer,PhDHitachiAmericaProfessorEmeritusProfessorEmeritusofComputerScienceandEngineeringRonaldR.Parker,PhDProfessorEmeritusofNuclearScienceandEngineeringProfessorEmeritusofElectricalEngineeringJeromeH.Saltzer,ScDProfessorEmeritusofComputerScienceandEngineeringHerbertHaroldSawin,PhDProfessorEmeritusofChemicalEngineeringProfessorEmeritusofElectricalEngineeringJoelE.Schindall,PhDBernardM.GordonProfessorofthePracticeEmeritusStephenD.Senturia,PhDProfessorEmeritusofElectricalEngineeringHenryIgnatiusSmith,PhDJosephF.andNancyP.KeithleyProfessorEmeritusProfessorEmeritusofElectricalEngineeringRichardD.Thornton,ScDProfessorEmeritusofElectricalEngineeringStephenA.Ward,PhDProfessorEmeritusofComputerScienceandEngineeringThomasF.Weiss,PhDProfessorEmeritusofElectricalandBioengineeringProfessorEmeritusofHealthSciencesandTechnologyGeraldL.Wilson,PhDVannevarBushProfessorEmeritusProfessorEmeritusofElectricalEngineeringProfessorEmeritusofMechanicalEngineeringMarkusZahn,ScDThomasandGerdPerkinsProfessorEmeritusProfessorEmeritusofElectricalEngineering BasicUndergraduateSubjects 6.0001IntroductiontoComputerScienceProgramminginPython Prereq:NoneU(Fall,Spring;firsthalfofterm)3-0-3units Introductiontocomputerscienceandprogrammingforstudentswithlittleornoprogrammingexperience.Studentsdevelopskillstoprogramandusecomputationaltechniquestosolveproblems.Topicsincludethenotionofcomputation,Python,simplealgorithmsanddatastructures,testinganddebugging,andalgorithmiccomplexity.Combinationof6.0001and6.0002or16.0002[J]countsasRESTsubject.Finalgivenintheseventhweekoftheterm. A.Bell,J.V.Guttag 6.0002IntroductiontoComputationalThinkingandDataScience Prereq:6.0001orpermissionofinstructorU(Fall,Spring;secondhalfofterm)3-0-3unitsCreditcannotalsobereceivedfor16.0002[J],18.0002[J],CSE.01[J] Providesanintroductiontousingcomputationtounderstandreal-worldphenomena.Topicsincludeplotting,stochasticprograms,probabilityandstatistics,randomwalks,MonteCarlosimulations,modelingdata,optimizationproblems,andclustering.Combinationof6.0001and6.0002countsasRESTsubject. A.Bell,J.V.Guttag 6.S00SpecialSubjectinElectricalEngineeringandComputerScience Prereq:NoneU(Fall,Spring) Notofferedregularly;consultdepartmentUnitsarranged Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. A.Bell,W.E.L.Grimson,J.V.Guttag 6.002CircuitsandElectronics Prereq:PhysicsII(GIR);Coreq:2.087or18.03U(Fall,Spring)3-2-7units.REST Fundamentalsoflinearsystemsandabstractionmodelingthroughlumpedelectroniccircuits.Linearnetworksinvolvingindependentanddependentsources,resistors,capacitorsandinductors.Extensionstoincludenonlinearresistors,switches,transistors,operationalamplifiersandtransducers.Dynamicsoffirst-andsecond-ordernetworks;designinthetimeandfrequencydomains;signalandenergyprocessingapplications.Designexercises.Weeklylaboratorywithmicrocontrollerandtransducers. J.H.Lang,T.Palacios,D.J.Perreault,J.Voldman 6.003SignalProcessing Prereq:6.0001and18.03U(Fall,Spring)6-0-6units.REST Fundamentalsofsignalprocessing,focusingontheuseofFouriermethodstoanalyzeandprocesssignalssuchassoundsandimages.TopicsincludeFourierseries,Fouriertransforms,theDiscreteFourierTransform,sampling,convolution,deconvolution,filtering,noisereduction,andcompression.Applicationsdrawbroadlyfromareasofcontemporaryinterestwithemphasisonbothanalysisanddesign. D.M.Freeman,A.Hartz 6.004ComputationStructures Prereq:PhysicsII(GIR)and6.0001U(Fall,Spring)4-0-8units.REST Providesanintroductiontothedesignofdigitalsystemsandcomputerarchitecture.Emphasizesexpressingallhardwaredesignsinahigh-levelhardwarelanguageandsynthesizingthedesigns.Topicsincludecombinationalandsequentialcircuits,instructionsetabstractionforprogrammablehardware,single-cycleandpipelinedprocessorimplementations,multi-levelmemoryhierarchies,virtualmemory,exceptionsandI/O,andparallelsystems. S.Z.HanonoWachman,D.Sanchez 6.006IntroductiontoAlgorithms Prereq:6.042[J]and(6.0001orCoreq:6.009)U(Fall,Spring)4-0-8units Introductiontomathematicalmodelingofcomputationalproblems,aswellascommonalgorithms,algorithmicparadigms,anddatastructuresusedtosolvetheseproblems.Emphasizestherelationshipbetweenalgorithmsandprogramming,andintroducesbasicperformancemeasuresandanalysistechniquesfortheseproblems.Enrollmentmaybelimited. E.Demaine,S.Devadas 6.008IntroductiontoInference Prereq:CalculusII(GIR)orpermissionofinstructorU(Fall)4-4-4units.InstituteLAB Introduces probabilisticmodelingforproblemsofinferenceandmachinelearningfromdata,emphasizinganalyticalandcomputationalaspects.Distributions,marginalization,conditioning,andstructure,includinggraphicalandneuralnetworkrepresentations.Beliefpropagation,decision-making,classification,estimation,andprediction.Samplingmethodsandanalysis. Introducesasymptoticanalysisandinformationmeasures.Computationallaboratorycomponentexplorestheconceptsintroducedinclassinthecontextofcontemporaryapplications.Studentsdesigninferencealgorithms,investigatetheirbehavioronrealdata,anddiscussexperimentalresults. P.Golland,G.W.Wornell 6.009FundamentalsofProgramming Prereq:6.0001U(Fall,Spring)2-4-6units.InstituteLAB Introducesfundamentalconceptsofprogramming.Designedtodevelopskillsinapplyingbasicmethodsfromprogramminglanguagestoabstractproblems.TopicsincludeprogrammingandPythonbasics,computationalconcepts,softwareengineering,algorithmictechniques,datatypes,andrecursion. Labcomponentconsistsofsoftwaredesign,construction,andimplementationofdesign.Enrollmentmaybelimited. D.S.Boning,A.Chlipala,S.Devadas,A.Hartz 6.01IntroductiontoEECSviaRobotics Prereq:6.0001orpermissionofinstructorU(Spring) Notofferedregularly;consultdepartment2-4-6units.InstituteLAB Anintegratedintroductiontoelectricalengineeringandcomputerscience,taughtusingsubstantiallaboratoryexperimentswithmobilerobots.Keyissuesinthedesignofengineeredartifactsoperatinginthenaturalworld:measuringandmodelingsystembehaviors;assessingerrorsinsensorsandeffectors;specifyingtasks;designingsolutionsbasedonanalyticalandcomputationalmodels;planning,executing,andevaluatingexperimentaltestsofperformance;refiningmodelsanddesigns.Issuesaddressedinthecontextofcomputerprograms,controlsystems,probabilisticinferenceproblems,circuitsandtransducers,whichallplayimportantrolesinachievingrobustoperationofalargevarietyofengineeredsystems. D.M.Freeman,A.Hartz,L.P.Kaelbling,T.Lozano-Perez 6.011Signals,SystemsandInference Prereq:6.003and(6.008,6.041,or18.600)U(Spring)4-0-8units Coverssignals,systemsandinferenceincommunication,controlandsignalprocessing.Topicsincludeinput-outputandstate-spacemodelsoflinearsystemsdrivenbydeterministicandrandomsignals;time-andtransform-domainrepresentationsindiscreteandcontinuoustime;andgroupdelay.Statefeedbackandobservers.Probabilisticmodels;stochasticprocesses,correlationfunctions,powerspectra,spectralfactorization.Least-meansquareerrorestimation;Wienerfiltering.Hypothesistesting;detection;matchedfilters. A.V.Oppenheim,G.C.Verghese 6.012NanoelectronicsandComputingSystems Prereq:6.002U(Fall,Spring)4-0-8units Studiesinteractionbetweenmaterials,semiconductorphysics,electronicdevices,andcomputingsystems.Developsintuitionofhowtransistorsoperate.Topicsrangefromintroductorysemiconductorphysicstomodernstate-of-the-artnano-scaledevices.Considershowinnovationsindeviceshavedrivenhistoricalprogressincomputing,andexploresideasforfurtherimprovementsindevicesandcomputing.Studentsapplymaterialtounderstandhowbuildingimprovedcomputingsystemsrequiresknowledgeofdevices,andhowmakingthecorrectdevicerequiresknowledgeofcomputingsystems.Includesadesignprojectforpracticalapplicationofconcepts,andlabsforexperiencebuildingsilicontransistorsanddevices. A.I.Akinwande,J.Kong,T.Palacios,M.Shulaker 6.013ElectromagneticsWavesandApplications Prereq:CalculusII(GIR)andPhysicsII(GIR)U(Spring)3-5-4units AnalysisanddesignofmodernapplicationsthatemployelectromagneticphenomenaforsignalsandpowertransmissioninRF,microwaves,opticalandwirelesscommunicationsystems.FundamentalsincludedynamicsolutionsforMaxwell'sequations;electromagneticpowerandenergy,wavesinmedia,metallicanddielectricwaveguides,radiation,anddiffraction;resonance;filters;andacousticanalogs.Labactivitiesrangefrombuildingtotestingofdevicesandsystems(e.g.,antennaarrays,radars,dielectricwaveguides).Studentsworkinteamsonself-proposedmaker-styledesignprojectswithafocusonfosteringcreativity,teamwork,anddebuggingskills.6.002and6.003arerecommendedbutnotrequired. K.O'Brien,L.Daniel 6.014ElectromagneticFields,ForcesandMotion Subjectmeetswith6.640Prereq:PhysicsII(GIR)and18.03U(Fall)3-0-9units Studyofelectromagneticsandelectromagneticenergyconversionleadingtoanunderstandingofdevices,includingelectromagneticsensors,actuators,motorsandgenerators.QuasistaticMaxwell'sequationsandtheLorentzforcelaw.StudiesofthequasistaticfieldsandtheirsourcesthroughsolutionsofPoisson'sandLaplace'sequations.Boundaryconditionsandmulti-regionboundary-valueproblems.Steady-stateconduction,polarization,andmagnetization.Chargeconservationandrelaxation,andmagneticinductionanddiffusion.Extensiontomovingmaterials.Electricandmagneticforcesandforcedensitiesderivedfromenergy,andstresstensors.Extensiveuseofengineeringexamples.Studentstakinggraduateversioncompleteadditionalassignments. J.L.Kirtley,Jr.,J.H.Lang 6.02IntroductiontoEECSviaCommunicationNetworks Prereq:6.0001U(Fall)4-4-4units.InstituteLAB Studieskeyconcepts,systems,andalgorithmstoreliablycommunicatedatainsettingsrangingfromthecellularphonenetworkandtheInternettodeepspace.Weeklylaboratoryexperimentsexploretheseareasindepth.Topicspresentedinthreemodules-bits,signals,andpackets-spanningthemultiplelayersofacommunicationsystem.Bitsmoduleincludesinformation,entropy,datacompressionalgorithms,anderrorcorrectionwithblockandconvolutionalcodes.Signalsmoduleincludesmodelingphysicalchannelsandnoise,signaldesign,filteringanddetection,modulation,andfrequency-divisionmultiplexing.Packetsmoduleincludesswitchingandqueuingprinciples,mediaaccesscontrol,routingprotocols,anddatatransportprotocols. K.LaCurts 6.021[J]CellularNeurophysiologyandComputing Samesubjectas2.791[J],9.21[J],20.370[J] Subjectmeetswith2.794[J],6.521[J],9.021[J],20.470[J],HST.541[J]Prereq:(PhysicsII(GIR),18.03,and(2.005,6.002,6.003,10.301,or20.110[J]))orpermissionofinstructorU(Spring)5-2-5units Integratedoverviewofthebiophysicsofcellsfromprokaryotestoneurons,withafocusonmasstransportandelectricalsignalgenerationacrosscellmembrane.Firstthirdofcoursefocusesonmasstransportthroughmembranes:diffusion,osmosis,chemicallymediated,andactivetransport.Secondthirdfocusesonelectricalpropertiesofcells:iontransporttoactionpotentialgenerationandpropagationinelectricallyexcitablecells.Synaptictransmission.Electricalpropertiesinterpretedviakineticandmolecularpropertiesofsinglevoltage-gatedionchannels.Finalthirdfocusesonbiophysicsofsynaptictransmissionandintroductiontoneuralcomputing.Laboratoryandcomputerexercisesillustratetheconcepts.Studentstakinggraduateversioncompletedifferentassignments.Preferencetojuniorsandseniors. J.Han,T.Heldt 6.022[J]QuantitativeandClinicalPhysiology Samesubjectas2.792[J],HST.542[J] Subjectmeetswith2.796[J],6.522[J]Prereq:PhysicsII(GIR),18.03,orpermissionofinstructorU(Spring)4-2-6units Applicationoftheprinciplesofenergyandmassflowtomajorhumanorgansystems.Anatomical,physiologicalandclinicalfeaturesofthecardiovascular,respiratoryandrenalsystems.Mechanismsofregulationandhomeostasis.Systems,featuresanddevicesthataremostilluminatedbythemethodsofphysicalsciencesandengineeringmodels.Requiredlaboratoryworkincludesanimalstudies.Studentstakinggraduateversioncompleteadditionalassignments. T.Heldt,R.G.Mark 6.023[J]Fields,ForcesandFlowsinBiologicalSystems Samesubjectas2.793[J],20.330[J]Prereq:Biology(GIR),PhysicsII(GIR),and18.03U(Spring)4-0-8units Seedescriptionundersubject20.330[J]. J.Han,S.Manalis 6.024[J]Molecular,Cellular,andTissueBiomechanics Samesubjectas2.797[J],3.053[J],20.310[J]Prereq:Biology(GIR),(2.370or20.110[J]),and(3.016Bor18.03)U(Spring)4-0-8units Seedescriptionundersubject20.310[J]. M.Bathe,A.Grodzinsky 6.025[J]MedicalDeviceDesign Samesubjectas2.750[J] Subjectmeetswith2.75[J],6.525[J],HST.552[J]Prereq:2.008,6.101,6.111,6.115,22.071,orpermissionofinstructorU(Spring)3-3-6units Seedescriptionundersubject2.750[J].Enrollmentlimited. A.H.Slocum,G.Hom,E.Roche,N.C.Hanumara 6.026[J]BiomedicalSignalandImageProcessing(New) SamesubjectasHST.482[J] Subjectmeetswith6.555[J],16.456[J],HST.582[J]Prereq:(6.041orpermissionofinstructor)and(2.004,6.003,16.002,or18.085)U(Spring)3-1-8units Fundamentalsofdigitalsignalprocessingwithemphasisonproblemsinbiomedicalresearchandclinicalmedicine.Basicprinciplesandalgorithmsforprocessingbothdeterministicandrandomsignals.Topicsincludedataacquisition,imaging,filtering,coding,featureextraction,andmodeling.Labprojects,performedinMATLAB,providepracticalexperienceinprocessingphysiologicaldata,withexamplesfromcardiology,speechprocessing,andmedicalimaging.Lecturescoversignalprocessingtopicsrelevanttothelabexercises,aswellasbackgroundonthebiologicalsignalsprocessedinthelabs.Studentstakinggraduateversioncompleteadditionalassignments. J.Greenberg,E.Adalsteinsson,W.Wells 6.027[J]BiomolecularFeedbackSystems Samesubjectas2.180[J] Subjectmeetswith2.18[J],6.557[J]Prereq:Biology(GIR),18.03,orpermissionofinstructorU(Spring)3-0-9units Seedescriptionundersubject2.180[J]. D.DelVecchio 6.03IntroductiontoEECSviaMedicalTechnology Prereq:CalculusII(GIR)andPhysicsII(GIR)U(Spring)4-4-4units.InstituteLAB Exploresbiomedicalsignalsgeneratedfromelectrocardiograms,glucosedetectorsorultrasoundimages,andmagneticresonanceimages.Topicsincludephysicalcharacterizationandmodelingofsystemsinthetimeandfrequencydomains;analoganddigitalsignalsandnoise;basicmachinelearningincludingdecisiontrees,clustering,andclassification;andintroductorymachinevision.Labsdesignedtostrengthenbackgroundinsignalprocessingandmachinelearning.Studentsdesignandrunstructuredexperiments,anddevelopandtestproceduresthroughfurtherexperimentation. C.M.Stultz,E.Adalsteinsson 6.031ElementsofSoftwareConstruction Prereq:6.009U(Fall,Spring)5-0-10units Introducesfundamentalprinciplesandtechniquesofsoftwaredevelopment:howtowritesoftwarethatissafefrombugs,easytounderstand,andreadyforchange.Topicsincludespecificationsandinvariants;testing,test-casegeneration,andcoverage;abstractdatatypesandrepresentationindependence;designpatternsforobject-orientedprogramming;concurrentprogramming,includingmessagepassingandsharedmemoryconcurrency,anddefendingagainstracesanddeadlock;andfunctionalprogrammingwithimmutabledataandhigher-orderfunctions.Includesweeklyprogrammingexercisesandlargergroupprogrammingprojects. M.Goldman,R.C.Miller 6.033ComputerSystemsEngineering Prereq:6.004and6.009U(Spring)5-1-6units Topicsontheengineeringofcomputersoftwareandhardwaresystems:techniquesforcontrollingcomplexity;strongmodularityusingclient-serverdesign,operatingsystems;performance,networks;naming;securityandprivacy;fault-tolerantsystems,atomicityandcoordinationofconcurrentactivities,andrecovery;impactofcomputersystemsonsociety.Casestudiesofworkingsystemsandreadingsfromthecurrentliteratureprovidecomparisonsandcontrasts.Includesasingle,semester-longdesignproject.Studentsengageinextensivewrittencommunicationexercises.Enrollmentmaybelimited. K.LaCurts 6.034ArtificialIntelligence Subjectmeetswith6.844Prereq:6.0001U(Fall)4-3-5units Introducesrepresentations,methods,andarchitecturesusedtobuildapplicationsandtoaccountforhumanintelligencefromacomputationalpointofview.Coversapplicationsofrulechaining,constraintpropagation,constrainedsearch,inheritance,statisticalinference,andotherproblem-solvingparadigms.Alsoaddressesapplicationsofidentificationtrees,neuralnets,geneticalgorithms,support-vectormachines,boosting,andotherlearningparadigms.Considerswhatseparateshumanintelligencefromthatofotheranimals.Studentstakinggraduateversioncompleteadditionalassignments. K.Koile 6.035ComputerLanguageEngineering Prereq:6.004and6.031U(Spring)4-4-4units Analyzesissuesassociatedwiththeimplementationofhigher-levelprogramminglanguages.Fundamentalconcepts,functions,andstructuresofcompilers.Theinteractionoftheoryandpractice.Usingtoolsinbuildingsoftware.Includesamulti-personprojectoncompilerdesignandimplementation. M.C.Rinard 6.036IntroductiontoMachineLearning Prereq:CalculusII(GIR)and(6.0001or6.01)U(Fall,Spring)4-0-8unitsCreditcannotalsobereceivedfor6.862 Introducesprinciples,algorithms,andapplicationsofmachinelearningfromthepointofviewofmodelingandprediction;formulationoflearningproblems;representation,over-fitting,generalization;clustering,classification,probabilisticmodeling;andmethodssuchassupportvectormachines,hiddenMarkovmodels,and neuralnetworks.Studentstakinggraduateversioncompleteadditionalassignments.Meetswith6.862whenofferedconcurrently.Recommendedprerequisites:6.006and18.06.Enrollmentmaybelimited. D.S. Boning,P.Jaillet, L.P.Kaelbling 6.037StructureandInterpretationofComputerPrograms Prereq:NoneU(IAP) Notofferedregularly;consultdepartment1-0-5units Studiesthestructureandinterpretationofcomputerprogramswhichtranscendspecificprogramminglanguages.DemonstratesthoughtpatternsforcomputerscienceusingScheme.Includesweeklyprogrammingprojects.Enrollmentmaybelimited. Staff 6.041IntroductiontoProbability Subjectmeetswith6.431Prereq:CalculusII(GIR)U(Fall,Spring)4-0-8units.RESTCreditcannotalsobereceivedfor15.079,15.0791,18.600 Anintroductiontoprobabilitytheory,themodelingandanalysisofprobabilisticsystems,andelementsofstatisticalinference.Probabilisticmodels,conditionalprobability.Discreteandcontinuousrandomvariables.Expectationandconditionalexpectation,andfurthertopicsaboutrandomvariables.LimitTheorems.Bayesianestimationandhypothesistesting.Elementsofclassicalstatisticalinference.BernoulliandPoissonprocesses.Markovchains.Studentstakinggraduateversioncompleteadditionalassignments. G.Bresler,P.Jaillet,J.N.Tsitsiklis 6.042[J]MathematicsforComputerScience Samesubjectas18.062[J]Prereq:CalculusI(GIR)U(Fall,Spring)5-0-7units.REST Elementarydiscretemathematicsforscienceandengineering,withafocusonmathematicaltoolsandprooftechniquesusefulincomputerscience.Topicsincludelogicalnotation,sets,relations,elementarygraphtheory,statemachinesandinvariants,inductionandproofsbycontradiction,recurrences,asymptoticnotation,elementaryanalysisofalgorithms,elementarynumbertheoryandcryptography,permutationsandcombinations,countingtools,anddiscreteprobability. Z.R. Abel, F.T.Leighton, A.Moitra 6.045[J]ComputabilityandComplexityTheory Samesubjectas18.400[J]Prereq:6.006orpermissionofinstructorU(Spring)4-0-8units Mathematicalintroductiontothetheoryofcomputing.Rigorouslyexploreswhatkindsoftaskscanbeefficientlysolvedwithcomputersbywayoffiniteautomata,circuits,Turingmachines,andcommunicationcomplexity,introducingstudentstosomemajoropenproblemsinmathematics.Buildsskillsinclassifyingcomputationaltasksintermsoftheirdifficulty.Discussesotherfundamentalissuesincomputing,includingtheHaltingProblem,theChurch-TuringThesis,thePversusNPproblem,andthepowerofrandomness. R.Williams,R.Rubinfeld 6.046[J]DesignandAnalysisofAlgorithms Samesubjectas18.410[J]Prereq:6.006U(Fall,Spring)4-0-8units Techniquesforthedesignandanalysisofefficientalgorithms,emphasizingmethodsusefulinpractice.Topicsincludesorting;searchtrees,heaps,andhashing;divide-and-conquer;dynamicprogramming;greedyalgorithms;amortizedanalysis;graphalgorithms;andshortestpaths.Advancedtopicsmayincludenetworkflow;computationalgeometry;number-theoreticalgorithms;polynomialandmatrixcalculations;caching;andparallelcomputing. E.Demaine,M.Goemans 6.047ComputationalBiology:Genomes,Networks,Evolution Subjectmeetswith6.878[J],HST.507[J]Prereq:(Biology(GIR),6.006,and6.041B)orpermissionofinstructorU(Fall)3-0-9units Coversthealgorithmicandmachinelearningfoundationsofcomputationalbiology,combiningtheorywithpractice.Principlesofalgorithmdesign,influentialproblemsandtechniques,andanalysisoflarge-scalebiologicaldatasets.Topicsinclude(a)genomes:sequenceanalysis,genefinding,RNAfolding,genomealignmentandassembly,databasesearch;(b)networks:geneexpressionanalysis,regulatorymotifs,biologicalnetworkanalysis;(c)evolution:comparativegenomics,phylogenetics,genomeduplication,genomerearrangements,evolutionarytheory.Thesearecoupledwithfundamentalalgorithmictechniquesincluding:dynamicprogramming,hashing,Gibbssampling,expectationmaximization,hiddenMarkovmodels,stochasticcontext-freegrammars,graphclustering,dimensionalityreduction,Bayesiannetworks. M.Kellis 6.049[J]EvolutionaryBiology:Concepts,ModelsandComputation Samesubjectas7.33[J]Prereq:(6.0001and7.03)orpermissionofinstructorU(Spring)3-0-9units Seedescriptionundersubject7.33[J]. R.Berwick,D.Bartel 6.050[J]Information,Entropy,andComputation Samesubjectas2.110[J]Prereq:PhysicsI(GIR)U(Spring) Notofferedregularly;consultdepartment3-0-6units Seedescriptionundersubject2.110[J]. P.Penfield,Jr. 6.057IntroductiontoMATLAB Prereq:NoneU(IAP) Notofferedregularly;consultdepartment1-0-2units AcceleratedintroductiontoMATLABanditspopulartoolboxes.Lecturesareinteractive,withstudentsconductingsampleMATLABproblemsinrealtime.Includesproblem-basedMATLABassignments.Studentsmustprovidetheirownlaptopandsoftware.Enrollmentlimited. Staff 6.058IntroductiontoSignalsandSystems,andFeedbackControl Prereq:CalculusII(GIR)orpermissionofinstructorU(IAP) Notofferedregularly;consultdepartment2-2-2units Introducesfundamentalconceptsfor6.003,includingFourierandLaplacetransforms,convolution,sampling,filters,feedbackcontrol,stability,andBodeplots.Studentsengageinproblemsolving,usingMathematicaandMATLABsoftwareextensivelytohelpvisualizeprocessinginthetimefrequencydomains. Staff 6.061IntroductiontoElectricPowerSystems Subjectmeetswith6.690Prereq:6.002and6.013U(Spring) Notofferedregularly;consultdepartment3-0-9units Electriccircuittheorywithapplicationtopowerhandlingelectriccircuits.Modelingandbehaviorofelectromechanicaldevices,includingmagneticcircuits,motors,andgenerators.Operationalfundamentalsofsynchronous.Interconnectionofgeneratorsandmotorswithelectricpowertransmissionanddistributioncircuits.Powergeneration,includingalternativeandsustainablesources.Incorporationofenergystorageinpowersystems.Studentstakinggraduateversioncompleteadditionalassignments. J.L.Kirtley,Jr. 6.070[J]ElectronicsProjectLaboratory SamesubjectasEC.120[J]Prereq:NoneU(Fall,Spring)1-2-3units Intuition-basedintroductiontoelectronics,electroniccomponentsandtestequipmentsuchasoscilloscopes,meters(voltage,resistanceinductance,capacitance,etc.),andsignalgenerators.Emphasizesindividualinstructionanddevelopmentofskills,suchassoldering,assembly,andtroubleshooting.Studentsdesign,build,andkeepasmallelectronicsprojecttoputtheirnewknowledgeintopractice.Intendedforstudentswithlittleornopreviousbackgroundinelectronics.Enrollmentmaybelimited. J.Bales 6.073[J]CreatingVideoGames SamesubjectasCMS.611[J]Prereq:6.01,CMS.301,orCMS.608U(Spring)3-3-6units.HASS-A SeedescriptionundersubjectCMS.611[J].Limitedto24. P.Tan,S.Verrilli,R.Eberhardt,A.Grant 6.08IntroductiontoEECSviaInterconnectedEmbeddedSystems Prereq:6.0001;Coreq:PhysicsII(GIR)U(Spring)1-5-6units.InstituteLAB Introductiontoembeddedsystemsinthecontextofconnecteddevices,wearables,andthe"InternetofThings"(IoT).Topicsincludemicrocontrollers,energyutilization,algorithmicefficiency,interfacingwithsensors,networking,cryptography,andlocalversusdistributedcomputation.Studentsdesign,make,andprogramanInternet-connectedwearableorhandhelddevice.Inthefinalproject,studentteamsdesignanddemotheirownserver-connectedIoTsystem.Enrollmentlimited;preferencetofirst-andsecond-yearstudents. S.Mueller, J.D.Steinmeyer,J.Voldman 6.S057SpecialSubjectinElectricalEngineeringandComputerScience(New) Prereq:NoneU(Fall)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S058SpecialSubjectinElectricalEngineeringandComputerScience(New) Prereq:NoneU(Fall) Notofferedregularly;consultdepartmentUnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S059SpecialSubjectinElectricalEngineeringandComputerScience(New) Prereq:NoneU(Fall)Unitsarranged Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S060SpecialSubjectinElectricalEngineeringandComputerScience(New) Prereq:NoneU(Fall)UnitsarrangedCanberepeatedforcredit. Basicundergraduatesubjectsnotofferedintheregularcurriculum. ConsultDepartment 6.S061SpecialSubjectinElectricalEngineeringandComputerScience(New) Prereq:NoneU(Fall,Spring)UnitsarrangedCanberepeatedforcredit. Basicundergraduatesubjectsnotofferedintheregularcurriculum. ConsultDepartment 6.S062SpecialSubjectinElectricalEngineeringandComputerScience Prereq:NoneU(Fall,Spring) Notofferedregularly;consultdepartmentUnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S063SpecialSubjectinElectricalEngineeringandComputerScience Prereq:NoneU(Spring)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S076SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Spring)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S077SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Spring;secondhalfofterm)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S078SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S079SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Spring)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S080SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall) Notofferedregularly;consultdepartmentUnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S081SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S082SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,Spring) Notofferedregularly;consultdepartmentUnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S083SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:U(Spring)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S084SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S085SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S086SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S087SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S088SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S089SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S090SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. D.M.Freeman 6.S091SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S092SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S093SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. D.M.Freeman 6.S094SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S095SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S096SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S097SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S098SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S099SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment UndergraduateLaboratorySubjects 6.100ElectricalEngineeringandComputerScienceProject Prereq:NoneU(Fall,Spring,Summer)UnitsarrangedCanberepeatedforcredit. Individualexperimentalworkrelatedtoelectricalengineeringandcomputerscience.Studentmustmakearrangementswithaprojectsupervisorandfileaproposalendorsedbythesupervisor.Departmentalapprovalrequired.Writtenreporttobesubmitteduponcompletionofwork. ConsultDepartmentUndergraduateOffice 6.101AnalogElectronicsLaboratory Prereq:6.002AcadYear2021-2022:Notoffered AcadYear2022-2023:U(Spring)2-9-1units.InstituteLAB Experimentallaboratoryexploresthedesign,construction,anddebuggingofanalogelectroniccircuits.Lecturesandlaboratoryprojectsinthefirsthalfofthecourseinvestigatetheperformancecharacteristicsofsemiconductordevices(diodes,BJTs,andMOSFETs)andfunctionalanalogbuildingblocks,includingsingle-stageamplifiers,opamps,smallaudioamplifier,filters,converters,sensorcircuits,andmedicalelectronics(ECG,pulse-oximetry).Projectsinvolvedesign,implementation,andpresentationinanenvironmentsimilartothatofindustryengineeringdesignteams.Instructionandpracticeinwrittenandoralcommunicationprovided.Opportunitytosimulatereal-worldproblemsandsolutionsthatinvolvetradeoffsandtheuseofengineeringjudgment. G.Hom,N.Reiskarimian 6.111DigitalSystemsLaboratory Prereq:6.002,6.08,or16.004U(Fall)3-7-2units.InstituteLAB InvestigatesdigitalsystemswithafocusonFPGAs.Lecturesandlabscoverlogic,flipflops,counters,timing,synchronization,finite-statemachines,digitalsignalprocessing,aswellasmoreadvancedtopicssuchascommunicationprotocolsandmodernsensors. Preparesstudentsforthedesignandimplementationofafinalprojectoftheirchoice:games,music,digitalfilters,wirelesscommunications,video,orgraphics.ExtensiveuseofSystem/Verilogfordescribingandimplementingdigitallogicdesigns. J.Steinmeyer,G.P.Hom,A.P.Chandrakasan 6.115MicrocomputerProjectLaboratory Subjectmeetswith6.1151Prereq:6.002,6.003,or6.004U(Spring)3-6-3units.InstituteLAB Introducesanalysisanddesignofembeddedsystems.Microcontrollersprovideadaptation,flexibility,andreal-timecontrol.Emphasizesconstructionofcompletesystems,includingafive-axisrobotarm,afluorescentlampballast,atomographicimagingstation(e.g.,aCATscan),andasimplecalculator.Presentsawiderangeofbasictools,includingsoftwareanddevelopmenttools,programmablesystemonchip,peripheralcomponentssuchasA/Dconverters,communicationschemes,signalprocessingtechniques,closed-loopdigitalfeedbackcontrol,interfaceandpowerelectronics,andmodelingofelectromechanicalsystems.Includesasequenceofassignedprojects,followedbyafinalprojectofthestudent'schoice,emphasizingcreativityanduniqueness.Providesinstructioninwrittenandoralcommunication.Tosatisfytheindependentinquirycomponentofthissubject,studentsexpandthescopeoftheirlaboratoryproject. S.B.Leeb 6.1151MicrocomputerProjectLaboratory-IndependentInquiry Subjectmeetswith6.115Prereq:6.002,6.003,or6.004U(Spring)3-9-3units Introducesanalysisanddesignofembeddedsystems.Microcontrollersprovideadaptation,flexibility,andreal-timecontrol.Emphasizesconstructionofcompletesystems,includingafive-axisrobotarm,afluorescentlampballast,atomographicimagingstation(e.g.,aCATscan),andasimplecalculator.Presentsawiderangeofbasictools,includingsoftwareanddevelopmenttools,programmablesystemonchip,peripheralcomponentssuchasA/Dconverters,communicationschemes,signalprocessingtechniques,closed-loopdigitalfeedbackcontrol,interfaceandpowerelectronics,andmodelingofelectromechanicalsystems.Includesasequenceofassignedprojects,followedbyafinalprojectofthestudent'schoice,emphasizingcreativityanduniqueness.Providesinstructioninwrittenandoralcommunication.Studentstakingindependentinquiryversion6.1151expandthescopeoftheirlaboratoryproject. S.B.Leeb 6.117IntroductiontoElectricalEngineeringLabSkills Prereq:NoneU(IAP) Notofferedregularly;consultdepartment1-3-2units Introducesbasicelectricalengineeringconcepts,components,andlaboratorytechniques.Coversanalogintegratedcircuits,powersupplies,anddigitalcircuits.Labexercisesprovidepracticalexperienceinconstructingprojectsusingmulti-meters,oscilloscopes,logicanalyzers,andothertools.IncludesaprojectinwhichstudentsbuildacircuittodisplaytheirownEKG.Enrollmentlimited. G.P.Hom 6.123[J]BioinstrumentationProjectLab Samesubjectas20.345[J]Prereq:20.309[J],(Biology(GIR)and(2.004or6.003)),orpermissionofinstructorU(Spring) Notofferedregularly;consultdepartment2-7-3units Seedescriptionundersubject20.345[J].Enrollmentlimited;preferencetoCourse20majorsandminors. E.Boyden,M.Jonas,S.F.Nagle,P.So,S.Wasserman,M.F.Yanik 6.129[J]BiologicalCircuitEngineeringLaboratory Samesubjectas20.129[J]Prereq:Biology(GIR)andCalculusII(GIR)U(Spring)2-8-2units.InstituteLAB Seedescriptionundersubject20.129[J].Enrollmentlimited. T.Lu,R.Weiss 6.131PowerElectronicsLaboratory Subjectmeetswith6.1311,6.330Prereq:6.002or6.003U(Fall)3-6-3units.InstituteLAB Introducesthedesignandconstructionofpowerelectroniccircuitsandmotordrives.Laboratoryexercisesincludetheconstructionofdrivecircuitryforanelectricgo-cart,flashstrobes,computerpowersupplies,three-phaseinvertersforACmotors,andresonantdrivesforlampballastsandinductionheating.BasicelectricmachinesintroducedincludeDC,induction,andpermanentmagnetmotors,withdriveconsiderations.Providesinstructioninwrittenandoralcommunication.Studentstakingindependentinquiryversion6.1311expandthescopeoftheirlaboratoryproject. S.B.Leeb 6.1311PowerElectronicsLaboratory-IndependentInquiry Subjectmeetswith6.131,6.330Prereq:6.002or6.003U(Fall)3-9-3units Introducesthedesignandconstructionofpowerelectroniccircuitsandmotordrives.Laboratoryexercisesincludetheconstructionofdrivecircuitryforanelectricgo-cart,flashstrobes,computerpowersupplies,three-phaseinvertersforACmotors,andresonantdrivesforlampballastsandinductionheating.BasicelectricmachinesintroducedincludeDC,induction,andpermanentmagnetmotors,withdriveconsiderations.Providesinstructioninwrittenandoralcommunication.Tosatisfytheindependentinquirycomponentofthissubject,studentsexpandthescopeoftheirlaboratoryproject. S.B.Leeb 6.141[J]Robotics:ScienceandSystems Samesubjectas16.405[J]Prereq:((1.00or6.0001)and(2.003[J],6.006,6.009,or16.06))orpermissionofinstructorU(Spring)2-6-4units.InstituteLAB Presentsconcepts,principles,andalgorithmicfoundationsforrobotsandautonomousvehiclesoperatinginthephysicalworld.Topicsincludesensing,kinematicsanddynamics,stateestimation,computervision,perception,learning,control,motionplanning,andembeddedsystemdevelopment.Studentsdesignandimplementadvancedalgorithmsoncomplexroboticplatformscapableofagileautonomousnavigationandreal-timeinteractionwiththephysicalword.Studentsengageinextensivewrittenandoralcommunicationexercises.Enrollmentlimited. L. Carlone,S.Karaman 6.146MobileAutonomousSystemsLaboratory:MASLAB Prereq:NoneU(IAP)2-2-2unitsCanberepeatedforcredit. AutonomousroboticscontestemphasizingtechnicalAI,vision,mappingandnavigationfromarobot-mountedcamera.Fewrestrictionsareplacedonmaterials,sensors,and/oractuatorsenablingteamstobuildrobotsverycreatively.Teamsshouldhavememberswithvaryingengineering,programmingandmechanicalbackgrounds.CulminateswitharobotcompetitionattheendofIAP.Enrollmentlimited. Staff 6.147TheBattlecodeProgrammingCompetition Prereq:NoneU(IAP)2-0-4unitsCanberepeatedforcredit. ArtificialIntelligenceprogrammingcontestinJava.StudentteamsprogramvirtualrobotstoplayBattlecode,areal-timestrategygame.CompetitionculminatesinaliveBattleCodetournament.Assumesbasicknowledgeofprogramming. Staff 6.148WebLab:AWebProgrammingClassandCompetition Prereq:NoneU(IAP)1-0-5unitsCanberepeatedforcredit. Studentteamslearnto designandbuildfunctionalanduser-friendlywebapplications.Topicsincludeversioncontrol,HTML,CSS,JavaScript,ReactJS,andnodejs.Allteamsareeligibletoenteracompetitionwheresitesarejudgedbyindustryexperts.Beginnersandexperiencedwebprogrammerswelcome,butsomepreviousprogrammingexperienceisrecommended. Staff 6.150MobileApplicationsCompetition Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartment2-2-2unitsCanberepeatedforcredit. StudentteamsdesignandbuildanAndroidapplicationbasedonagiventheme.Lecturesandlabsledbyexperiencedstudentsandleadingindustryexperts,coveringthebasicsofAndroiddevelopment,conceptsandtoolstohelpparticipantsbuildgreatapps.ContestculminateswithapublicpresentationinfrontofajudgingpanelcomprisedofprofessionaldevelopersandMITfaculty.Prizesawarded.Enrollmentlimited. Staff 6.151iOSGameDesignandDevelopmentCompetition Prereq:NoneU(IAP) Notofferedregularly;consultdepartment2-2-2units IntroductiontoiOSgamedesignanddevelopmentforstudentsalreadyfamiliarwithobject-orientedprogramming.Providesasetofbasictools(Objective-CandCocos2D)andexposuretoreal-worldissuesingamedesign.Workinginsmallteams,studentscompleteafinalprojectinwhichtheycreatetheirowniPhonegame.AttheendofIAP,teamspresenttheirgamesincompetitionforprizesawardedbyajudgingpanelofgamingexperts. Staff 6.152[J]Micro/NanoProcessingTechnology Samesubjectas3.155[J]Prereq:CalculusII(GIR),Chemistry(GIR),PhysicsII(GIR),orpermissionofinstructorU(Spring)3-4-5units Introducesthetheoryandtechnologyofmicro/nanofabrication.Includeslecturesandlaboratorysessionsonprocessingtechniques:wetanddryetching,chemicalandphysicaldeposition,lithography,thermalprocesses,packaging,anddeviceandmaterialscharacterization.Homeworkusesprocesssimulationtoolstobuildintuitionabouthigherordereffects.Emphasizesinterrelationshipsbetweenmaterialpropertiesandprocessing,devicestructure,andtheelectrical,mechanical,optical,chemicalorbiologicalbehaviorofdevices.Studentsfabricatesolarcells,andachoiceofMEMScantileversormicrofluidicmixers.Studentsformulatetheirowndeviceidea,eitherbasedoncantileversormixers,thenimplementandtesttheirdesignsinthelab.Studentsengageinextensivewrittenandoralcommunicationexercises.Courseprovidesbackgroundforresearchworkrelatedtomicro/nanofabrication.Enrollmentlimited. J.delAlamo,J.Michel,J.Scholvin 6.161ModernOpticsProjectLaboratory Prereq:6.003U(Fall)3-5-4units.InstituteLABCreditcannotalsobereceivedfor6.637 Lectures,laboratoryexercisesandprojectsonopticalsignalgeneration,transmission,detection,storage,processinganddisplay.Topicsincludepolarizationpropertiesoflight;reflectionandrefraction;coherenceandinterference;FraunhoferandFresneldiffraction;holography;Fourieroptics;coherentandincoherentimagingandsignalprocessingsystems;opticalpropertiesofmaterials;lasersandLEDs;electro-opticandacousto-opticlightmodulators;photorefractiveandliquid-crystallightmodulation;displaytechnologies;opticalwaveguidesandfiber-opticcommunicationsystems;photodetectors.Studentsmayusethissubjecttofindanadvancedundergraduateproject.Studentsengageinextensiveoralandwrittencommunicationexercises.Recommendedprerequisite:8.03. C.Warde 6.163StrobeProjectLaboratory Prereq:PhysicsII(GIR)orpermissionofinstructorU(Fall,Spring)2-8-2units.InstituteLAB Applicationofelectronicflashsourcestomeasurementandphotography.Firsthalfcoversfundamentalsofphotographyandelectronicflashes,includingexperimentsonapplicationofelectronicflashtophotography,stroboscopy,motionanalysis,andhigh-speedvideography.Studentswritefourextensivelabreports.Inthesecondhalf,studentsworkinsmallgroupstoselect,design,andexecuteindependentprojectsinmeasurementorphotographythatapplylearnedtechniques.Projectplanningandexecutionskillsarediscussedanddevelopedovertheterm.Studentsengageinextensivewrittenandoralcommunicationexercises.Enrollmentlimited. J.K.Vandiver,J.W.Bales 6.170SoftwareStudio Prereq:6.031and6.042[J]U(Fall)4-9-2units Providesdesign-focusedinstructiononhowtobuildsoftwareapplications.Designtopicsincludeclassichuman-computerinteraction(HCI)designtactics(needfinding,heuristicevaluation,prototyping,usertesting),conceptualdesign(modelingandevaluatingconstituentconcepts),abstractdatamodeling,andvisualdesign.ImplementationtopicsincludefunctionalprogramminginJavascript,reactivefront-ends,webservices,anddatabases.Studentsworkinteamsonterm-longprojectsinwhichtheyconstructapplicationsofsocialvalue. D.N.Jackson,A.Satyanarayan 6.172SoftwarePerformanceEngineering Prereq:6.004,6.006,and6.031U(Fall)3-12-3units Project-basedintroductiontobuildingefficient,high-performanceandscalablesoftwaresystems.Topicsincludeperformanceanalysis,algorithmictechniquesforhighperformance,instruction-leveloptimizations,vectorization,cacheandmemoryhierarchyoptimization,andparallelprogramming. S.Amarasinghe,C.E.Leiserson 6.175ConstructiveComputerArchitecture Prereq:6.004AcadYear2021-2022:Notoffered AcadYear2022-2023:U(Fall)3-8-1units Illustratesaconstructive(asopposedtoadescriptive)approachtocomputerarchitecture.Topicsincludecombinationalandpipelinedarithmetic-logicunits(ALU),in-orderpipelinedmicroarchitectures,branchprediction,blockingandunblockingcaches,interrupts,virtualmemorysupport,cachecoherenceandmulticorearchitectures.LabsinamodernHardwareDesignLanguage(HDL)illustratevariousaspectsofmicroprocessordesign,culminatinginatermprojectinwhichstudentspresentamulticoredesignrunningonanFPGAboard. Arvind 6.176PokerbotsCompetition Prereq:NoneU(IAP)1-0-5unitsCanberepeatedforcredit. Buildautonomouspokerplayersandaquiretheknowledgeofthegameofpoker.Showcasedecisionmakingskills,applyconceptsinmathematics,computerscienceandeconomics.Providesinstructioninprogramming,gametheory,probabilityandstatisticsandmachinelearning.Concludeswithafinalcompetitionandprizes.Enrollmentlimited. Staff 6.178IntroductiontoSoftwareEngineeringinJava Prereq:NoneU(IAP) Notofferedregularly;consultdepartment1-1-4units CoversthefundamentalsofJava,helpingstudentsdevelopintuitionaboutobject-orientedprogramming.Focusesondevelopingworkingsoftwarethatsolvesrealproblems.Designedforstudentswithlittleornoprogrammingexperience.Conceptscoveredusefulto6.005.Enrollmentlimited. Staff 6.179IntroductiontoCandC++ Prereq:NoneU(IAP) Notofferedregularly;consultdepartment3-3-0units Fast-pacedintroductiontotheCandC++programminglanguages.IntendedforthosewithexperienceinotherlanguageswhohaveneverusedCorC++.Studentscompletedailyassignments,asmall-scaleindividualproject,andamandatoryonlinediagnostictest.Enrollmentlimited. Staff 6.182PsychoacousticsProjectLaboratory Prereq:NoneU(Spring) Notofferedregularly;consultdepartment3-6-3units.InstituteLAB Introducesthemethodsusedtomeasurehumanauditoryabilities.Discussesauditoryfunction,principlesofpsychoacousticmeasurement,modelsforpsychoacousticperformance,andexperimentaltechniques.Projecttopics:absoluteanddifferentialauditorysensitivity,operatingcharacteristicsofhumanobservers,spanofauditoryjudgment,adaptivemeasurementprocedures,andscalingsensorymagnitudes.Knowledgeofprobabilityhelpful.Studentsengageinextensivewrittenandoralcommunicationexercises. L.D.Braida 6.185[J]InteractiveMusicSystems(6.809) Samesubjectas21M.385[J]Prereq:(6.009and21M.301)orpermissionofinstructorU(Fall,Spring)3-0-9units.HASS-A Seedescriptionundersubject21M.385[J].Limitedto18. E.Egozy,L.Kaelbling 6.187[J]FundamentalsofMusicProcessing(New) Samesubjectas21M.387[J]Prereq:6.003and21M.051U(Fall)3-0-9units.HASS-A Seedescriptionundersubject21M.387[J].Enrollmentlimited. E.Egozy 6.S183SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S184SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S185SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. D.M.Freeman 6.S186SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S187SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. Staff 6.S188SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. D.M.Freeman 6.S189SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. D.M.Freeman 6.S190SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. D.M.Freeman 6.S191SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S192SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)Unitsarranged[P/D/F]Canberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S193SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(IAP)UnitsarrangedCanberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S197SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall)UnitsarrangedCanberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S193-6.S198SpecialLaboratorySubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall) Notofferedregularly;consultdepartmentUnitsarrangedCanberepeatedforcredit. Laboratorysubjectthatcoverscontentnotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment SeniorProjects 6.UAPUndergraduateAdvancedProject Prereq:6.UATU(Fall) Notofferedregularly;consultdepartment0-6-0unitsCanberepeatedforcredit. ResearchprojectforthoseEECSstudentswhosecurriculumrequiresaseniorproject.TobearrangedbythestudentandanappropriateMITfacultymember.Studentswhoregisterforthissubjectmustconsultthedepartmentundergraduateoffice.Studentsengageinextensivewrittencommunicationsexercises. ConsultDepartmentUndergraduateOffice 6.UARSeminarinUndergraduateAdvancedResearch Prereq:PermissionofinstructorU(Fall,Spring)2-0-4unitsCanberepeatedforcredit. Instructionineffectiveundergraduateresearch,includingchoosinganddevelopingaresearchtopic,surveyingpreviousworkandpublications,researchtopicsinEECSandtheSchoolofEngineering,industrybestpractices,designforrobustness,technicalpresentation,authorshipandcollaboration,andethics.Studentsengageinextensivewrittenandoralcommunicationexercises,inthecontextofanapprovedadvancedresearchproject.Atotalof12unitsofcreditisawardedforcompletionofthefallandsubsequentspringtermofferings.Applicationrequired;consultEECSSuperUROPwebsiteformoreinformation. D.Katabi,A.P.Chandrakasan 6.UATOralCommunication Prereq:NoneU(Fall,Spring)3-0-6units Providesinstructioninaspectsofeffectivetechnicaloralpresentationsandexposuretocommunicationskillsusefulinaworkplacesetting.Studentscreate,giveandreviseanumberofpresentationsofvaryinglengthtargetingarangeofdifferentaudiences.Enrollmentmaybelimited. T.L.Eng AdvancedUndergraduateSubjectsandGraduateSubjectsbyAreaSystemsScienceandControlEngineering 6.207[J]Networks Samesubjectas14.15[J] Subjectmeetswith14.150Prereq:6.041or14.30U(Spring)4-0-8units.HASS-S Seedescriptionundersubject14.15[J]. A.Wolitzky 6.215OptimizationMethods Subjectmeetswith6.255[J],15.093[J],IDS.200[J]Prereq:18.06U(Fall)4-0-8units Introducestheprincipalalgorithmsforlinear,network,discrete,robust,nonlinear,anddynamicoptimization.Emphasizesmethodologyandtheunderlyingmathematicalstructures.Topicsincludethesimplexmethod,networkflowmethods,branchandboundandcuttingplanemethodsfordiscreteoptimization,optimalityconditionsfornonlinearoptimization,interiorpointmethodsforconvexoptimization,Newton'smethod,heuristicmethods,anddynamicprogrammingandoptimalcontrolmethods.Expectationsandevaluationcriteriadifferforstudentstakinggraduateversion;consultsyllabusorinstructorforspecificdetails. D.Bertsimas,P.Parrilo 6.231DynamicProgrammingandReinforcementLearning Prereq:18.600or6.041G(Spring)4-0-8units Dynamicprogrammingasaunifyingframeworkforsequentialdecision-makingunderuncertainty,Markovdecisionproblems,andstochasticcontrol.Perfectandimperfectstateinformationmodels.Finitehorizonandinfinitehorizonproblems,includingdiscountedandaveragecostformulations.Valueandpolicyiteration.Suboptimalmethods.Approximatedynamicprogrammingforlarge-scaleproblems,andreinforcementlearning.Applicationsandexamplesdrawnfromdiversedomains.Whileananalysisprerequisiteisnotrequired,mathematicalmaturityisnecessary. J.N.Tsitsiklis 6.241[J]DynamicSystemsandControl Samesubjectas16.338[J]Prereq:6.003and18.06G(Spring)4-0-8units Linear,discrete-andcontinuous-time,multi-input-outputsystemsincontrol,relatedareas.Leastsquaresandmatrixperturbationproblems.State-spacemodels,modes,stability,controllability,observability,transferfunctionmatrices,polesandzeros,andminimality.Internalstabilityofinterconnectedsystems,feedbackcompensators,statefeedback,optimalregulation,observers,andobserver-basedcompensators.Measuresofcontrolperformance,robustnessissuesusingsingularvaluesoftransferfunctions.Introductoryideasonnonlinearsystems.Recommendedprerequisite:6.302. M.A.Dahleh,A.Megretski 6.244[J]GraphicalModels:AGeometric,Algebraic,andCombinatorialPerspective SamesubjectasIDS.136[J]Prereq:6.431and18.06AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9units SeedescriptionundersubjectIDS.136[J]. C.Uhler 6.245MultivariableControlSystems Prereq:6.241[J]or16.31G(Fall) Notofferedregularly;consultdepartment3-0-9units Computer-aideddesignmethodologiesforsynthesisofmultivariablefeedbackcontrolsystems.Performanceandrobustnesstrade-offs.Model-basedcompensators;Q-parameterization;ill-posedoptimizationproblems;dynamicaugmentation;linear-quadraticoptimizationofcontrollers;H-infinitycontrollerdesign;Mu-synthesis;modelandcompensatorsimplification;nonlineareffects.Computer-aided(MATLAB)designhomeworkusingmodelsofphysicalprocesses. A.Megretski 6.246, 6.247AdvancedTopicsinControl Prereq:PermissionofinstructorG(Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsincontrol.Specificfocusvariesfromyeartoyear. ConsultDepartment 6.248, 6.249AdvancedTopicsinNumericalMethods Prereq:PermissionofinstructorG(Fall,Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinnumericalmethods.Specificfocusvariesfromyeartoyear. ConsultDepartment 6.251[J]IntroductiontoMathematicalProgramming Samesubjectas15.081[J]Prereq:18.06G(Fall)4-0-8units Introductiontolinearoptimizationanditsextensionsemphasizingbothmethodologyandtheunderlyingmathematicalstructuresandgeometricalideas.Coversclassicaltheoryoflinearprogrammingaswellassomerecentadvancesinthefield.Topics:simplexmethod;dualitytheory;sensitivityanalysis;networkflowproblems;decomposition;robustoptimization; integerprogramming;interiorpointalgorithmsforlinearprogramming;andintroductiontocombinatorialoptimizationandNP-completeness. J.N.Tsitsiklis,D.Bertsimas 6.252[J]NonlinearOptimization Samesubjectas15.084[J]Prereq:18.06and(18.100A,18.100B,or18.100Q)G(Spring)4-0-8units Unifiedanalyticalandcomputationalapproachtononlinearoptimizationproblems.Unconstrainedoptimizationmethodsincludegradient,conjugatedirection,Newton,sub-gradientandfirst-ordermethods.Constrainedoptimizationmethodsincludefeasibledirections,projection,interiorpointmethods,andLagrangemultipliermethods.Convexanalysis,Lagrangianrelaxation,nondifferentiableoptimization,andapplicationsinintegerprogramming.ComprehensivetreatmentofoptimalityconditionsandLagrangemultipliers.Geometricapproachtodualitytheory.Applicationsdrawnfromcontrol,communications,machinelearning,andresourceallocationproblems. R.M.Freund,P.Parrilo,G.Perakis 6.254GameTheorywithEngineeringApplications Prereq:6.431G(Fall) Notofferedregularly;consultdepartment4-0-8units Introductiontofundamentalsofgametheoryandmechanismdesignwithmotivationsforeachtopicdrawnfromengineeringapplications(includingdistributedcontrolofwireline/wirelesscommunicationnetworks,transportationnetworks,pricing).Emphasisonthefoundationsofthetheory,mathematicaltools,aswellasmodelingandtheequilibriumnotionindifferentenvironments.Topicsincludenormalformgames,supermodulargames,dynamicgames,repeatedgames,gameswithincomplete/imperfectinformation,mechanismdesign,cooperativegametheory,andnetworkgames. A.Ozdaglar 6.255[J]OptimizationMethods Samesubjectas15.093[J],IDS.200[J] Subjectmeetswith6.215Prereq:18.06G(Fall)4-0-8units Seedescriptionundersubject15.093[J]. D.Bertsimas,P.Parrilo 6.256[J]AlgebraicTechniquesandSemidefiniteOptimization Samesubjectas18.456[J]Prereq:6.251[J]or15.093[J]AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Theoryandcomputationaltechniquesforoptimizationproblemsinvolvingpolynomialequationsandinequalitieswithparticular,emphasisontheconnectionswithsemidefiniteoptimization.Developsalgebraicandnumericalapproachesofgeneralapplicability,withaviewtowardsmethodsthatsimultaneouslyincorporatebothelements,stressingconvexity-basedideas,complexityresults,andefficientimplementations.Examplesfromseveralengineeringareas,inparticularsystemsandcontrolapplications.Topicsincludesemidefiniteprogramming,resultants/discriminants,hyperbolicpolynomials,Groebnerbases,quantifierelimination,andsumofsquares. P.Parrilo 6.260, 6.261AdvancedTopicsinCommunications Prereq:PermissionofinstructorG(Fall,Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsincommunications.Specificfocusvariesfromyeartoyear. ConsultDepartment 6.262DiscreteStochasticProcesses Prereq:6.431or18.204AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)4-0-8units Reviewofprobabilityandlawsoflargenumbers;Poissoncountingprocessandrenewalprocesses;Markovchains(includingMarkovdecisiontheory),branchingprocesses,birth-deathprocesses,andsemi-Markovprocesses;continuous-timeMarkovchainsandreversibility;randomwalks,martingales,andlargedeviations;applicationsfromqueueing,communication,control,andoperationsresearch. R.G.Gallager,V.W.S.Chan 6.263[J]Data-CommunicationNetworks Samesubjectas16.37[J]Prereq:6.041or18.204G(Fall)3-0-9units Providesanintroductiontodatanetworkswithananalyticperspective,usingwirelessnetworks,satellitenetworks,opticalnetworks,theinternetanddatacentersasprimaryapplications.Presentsbasictoolsformodelingandperformanceanalysis.Drawsuponconceptsfrom stochastic processes, queuingtheory,andoptimization. E.Modiano 6.265[J]DiscreteProbabilityandStochasticProcesses Samesubjectas15.070[J]Prereq:6.431,6.436[J],18.100A,18.100B,or18.100QG(Spring)3-0-9units Seedescriptionundersubject15.070[J]. G.Bresler,D.Gamarnik,E.Mossel, Y.Polyanskiy 6.267HeterogeneousNetworks:Architecture,Transport,Proctocols,andManagement Prereq:6.041or6.042[J]AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)4-0-8units Introductiontomodernheterogeneousnetworksandtheprovisionofheterogeneousservices.Architecturalprinciples,analysis,algorithmictechniques,performanceanalysis,andexistingdesignsaredevelopedandappliedtounderstandcurrentproblemsinnetworkdesignandarchitecture.Beginswithbasicprinciplesofnetworking.Emphasizesdevelopmentofmathematicalandalgorithmictools;appliesthemtounderstandingnetworklayerdesignfromtheperformanceandscalabilityviewpoint.Concludeswithnetworkmanagementandcontrol,includingthearchitectureandperformanceanalysisofinterconnectedheterogeneousnetworks.Providesbackgroundandinsighttounderstandcurrentnetworkliteratureandtoperformresearchonnetworkswiththeaidofnetworkdesignprojects. V.W.S.Chan,R.G.Gallager 6.268NetworkScienceandModels Prereq:6.431and18.06G(Spring)3-0-9units Introducesthemainmathematicalmodelsusedtodescribelargenetworksanddynamicalprocessesthatevolveonnetworks.Staticmodelsofrandomgraphs,preferentialattachment,andothergraphevolutionmodels.Epidemicpropagation,opiniondynamics,sociallearning,andinferenceinnetworks.Applicationsdrawnfromsocial,economic,natural,andinfrastructurenetworks,aswellasnetworkeddecisionsystemssuchassensornetworks. P.Jaillet,J.N.Tsitsiklis Electronics,Computers,andSystems 6.301Solid-StateCircuits Subjectmeetswith6.321Prereq:6.002U(Fall)3-2-7units Fostersdeepunderstandingandintuitionthatiscrucialininnovatinganalogcircuitsandoptimizingthewholesysteminbipolarjunctiontransistor(BJT)andmetaloxidesemiconductor(MOS)technologies.Coversboththeoryandreal-worldapplicationsofbasicamplifierstructures,operationalamplifiers,temperaturesensors,bandgapreferences,andtranslinearcircuits.Providespracticalexperiencethroughvariouslabexercises,includingabroadbandamplifierdesignandcharacterization.Studentstakinggraduateversioncompleteadditionalassignments. H.-S.Lee,R.Han 6.302FeedbackSystemDesign Subjectmeetswith6.320Prereq:PhysicsII(GIR)and(2.087or18.03)U(Fall)4-4-4units Learn-by-designintroductiontomodelingandcontrolofdiscrete-andcontinuous-timesystems,fromclassicalanalyticaltechniquestomoderncomputationalstrategies.Topicsincludemodeling(difference/differentialequations,naturalfrequencies,transferfunctions,frequencyresponse,impedances); performancemetrics(stability,tracking,disturbancerejection);classicaldesign(root-locus,PID,lead-lag);state-space(ABCDmatrices,poleplacement,LQR,observers);anddata-drivendesign(regression,identification,model-basedcontrol).Studentsapplyconceptsintroducedinlecturesandonlineassignmentstodesignlabsthatincludediscussion-basedcheckoffs.Inlab,studentsusecircuits,sensors,actuators,andamicrocontrollertodesign,buildandtestcontrollersfor,e.g.,propeller-actuatedpositioners,magneticlevitators,andtwo-wheelbalancers.Studentstakinggraduateversioncompleteadditionalassignments. J.K.White 6.320FeedbackSystemDesign Subjectmeetswith6.302Prereq:PhysicsII(GIR)and(2.087or18.03)G(Fall)4-4-4units Learn-by-designintroductiontomodelingandcontrolofdiscrete-andcontinuous-timesystems,fromclassicalanalyticaltechniquestomoderncomputationalstrategies.Topicsincludemodeling(difference/differentialequations,naturalfrequencies,transferfunctions,frequencyresponse,impedances); performancemetrics(stability,tracking,disturbancerejection);classicaldesign(root-locus,PID,lead-lag);state-space(ABCDmatrices,poleplacement,LQR,observers);anddata-drivendesign(regression,identification,model-basedcontrol).Studentsapplyconceptsintroducedinlecturesandonlineassignmentstodesignlabsthatincludediscussion-basedcheckoffs.Inlab,studentsusecircuits,sensors,actuators,andamicrocontrollertodesign,buildandtestcontrollersfor,e.g.,propeller-actuatedpositioners,magneticlevitators,andtwo-wheelbalancers.Studentstakinggraduateversioncompleteadditionalassignments. J.K.White 6.321Solid-StateCircuits Subjectmeetswith6.301Prereq:6.002G(Fall)3-2-7units Fostersdeepunderstandingandintuitionthatiscrucialininnovatinganalogcircuitsandoptimizingthewholesysteminbipolarjunctiontransistor(BJT)andmetaloxidesemiconductor(MOS)technologies.Coversboththeoryandreal-worldapplicationsofbasicamplifierstructures,operationalamplifiers,temperaturesensors,bandgapreferences,andtranslinearcircuits.Providespracticalexperiencethroughvariouslabexercises,includingabroadbandamplifierdesignandcharacterization.Studentstakinggraduateversioncompleteadditionalassignments. H.-S.Lee,R.Han 6.330PowerElectronicsLaboratory Subjectmeetswith6.131,6.1311Prereq:PermissionofinstructorG(Fall)3-9-3units Hands-onintroductiontothedesignandconstructionofpowerelectroniccircuitsandmotordrives.Laboratoryexercises(sharedwith6.131and6.1311)includetheconstructionofdrivecircuitryforanelectricgo-cart,flashstrobes,computerpowersupplies,three-phaseinvertersforACmotors,andresonantdrivesforlampballastsandinductionheating.BasicelectricmachinesintroducedincludingDC,induction,andpermanentmagnetmotors,withdriveconsiderations.Studentstakinggraduateversioncompleteadditionalassignmentsandanextendedfinalproject. S.B.Leeb 6.332, 6.333AdvancedTopicsinCircuits Prereq:PermissionofinstructorG(Fall) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsincircuits.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.334PowerElectronics Prereq:6.012G(Spring)3-0-9units Theapplicationofelectronicstoenergyconversionandcontrol.Modeling,analysis,andcontroltechniques.Designofpowercircuitsincludinginverters,rectifiers,anddc-dcconverters.Analysisanddesignofmagneticcomponentsandfilters.Characteristicsofpowersemiconductordevices.Numerousapplicationexamples,suchasmotioncontrolsystems,powersupplies,andradio-frequencypoweramplifiers. D.J.Perreault 6.335[J]FastMethodsforPartialDifferentialandIntegralEquations Samesubjectas18.336[J]Prereq:6.336[J],16.920[J],18.085,18.335[J],orpermissionofinstructorG(Fall)3-0-9units Seedescriptionundersubject18.336[J]. K.Burns 6.336[J]IntroductiontoModelingandSimulation Samesubjectas2.096[J],16.910[J]Prereq:18.03or18.06G(Fall)3-6-3units Introductiontocomputationaltechniquesformodelingandsimulationofavarietyoflargeandcomplexengineering,science,andsocio-economicalsystems.Preparesstudentsforpracticaluseanddevelopmentofcomputationalengineeringintheirownresearchandfuturework.Topicsincludemathematicalformulations(e.g.,automaticassemblyofconstitutiveandconservationprinciples);linearsystemsolvers(sparseanditerative);nonlinearsolvers(Newtonandhomotopy);ordinary,time-periodicandpartialdifferentialequationsolvers;andmodelorderreduction.Studentsdeveloptheirownmodelsandsimulatorsforself-proposedapplications,withanemphasisoncreativity,teamwork,andcommunication.Priorbasiclinearalgebraandprogramming(e.g.,MATLABorPython)helpful. L.Daniel 6.337[J]IntroductiontoNumericalMethods Samesubjectas18.335[J]Prereq:18.06,18.700,or18.701G(Spring)3-0-9units Seedescriptionundersubject18.335[J]. A.J.Horning 6.338[J]ParallelComputingandScientificMachineLearning Samesubjectas18.337[J]Prereq:18.06,18.700,or18.701G(Spring)3-0-9units Seedescriptionundersubject18.337[J]. C.Rackauckas 6.339[J]NumericalMethodsforPartialDifferentialEquations Samesubjectas2.097[J],16.920[J]Prereq:18.03or18.06G(Fall)3-0-9units Seedescriptionundersubject16.920[J]. Q.Wang,S.Groth 6.341Discrete-TimeSignalProcessing Prereq:6.011G(Fall)4-0-8units Representation,analysis,anddesignofdiscretetimesignalsandsystems.Decimation,interpolation,andsamplingrateconversion.Noiseshaping.FlowgraphstructuresforDTsystems.IIRandFIRfilterdesigntechniques.Parametricsignalmodeling,linearprediction,and latticefilters.DiscreteFouriertransform,DFTcomputation, andFFTalgorithms.Spectralanalysis,time-frequencyanalysis, relationtofilterbanks.Multiratesignalprocessing,perfectreconstructionfilterbanks,andconnectiontowavelets. A.V.Oppenheim,J.Ward 6.344DigitalImageProcessing Prereq:6.003and6.431AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Digitalimagesastwo-dimensionalsignals.Digitalsignalprocessingtheoriesusedfordigitalimageprocessing,includingone-dimensionalandtwo-dimensionalconvolution,Fouriertransform,discreteFouriertransform,anddiscretecosinetransform.Imageprocessingbasics.Imageenhancement.Imagerestoration.Imagecodingandcompression.Videoprocessingincludingvideocodingandcompression.Additionaltopicsinimageandvideoprocessing. J.S.Lim 6.345[J]SpokenLanguageProcessing SamesubjectasHST.728[J]Prereq:6.011and6.036AcadYear2021-2022:G(Spring) AcadYear2022-2023:Notoffered3-1-8units Introducestherapidlydevelopingfieldofspokenlanguage processingincludingautomaticspeechrecognition.Topicsincludeacoustictheoryofspeechproduction,acoustic-phonetics,signalrepresentation,acousticandlanguagemodeling,search,hiddenMarkovmodeling,neuralnetworksmodels,end-to-enddeeplearningmodels,andothermachinelearningtechniquesappliedtospeechandlanguageprocessingtopics. Lecturematerialinterspersestheorywithpractice.Includesproblemsets,laboratoryexercises,andopened-endedtermproject. J.R.Glass 6.347, 6.348AdvancedTopicsinSignalsandSystems Prereq:PermissionofinstructorG(Fall,Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinsignalsandsystems.Specificfocusvariesfromyeartoyear. ConsultDepartment 6.374AnalysisandDesignofDigitalIntegratedCircuits Prereq:6.004and6.012AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-3-6units Deviceandcircuitleveloptimizationofdigitalbuildingblocks.MOSdevicemodelsincludingDeepSub-Microneffects.Circuitdesignstylesforlogic,arithmetic,andsequentialblocks.Estimationandminimizationofenergyconsumption.Interconnectmodelsandparasitics,devicesizingandlogicaleffort,timingissues(clockskewandjitter),andactiveclockdistributiontechniques.Memoryarchitectures,circuits(senseamplifiers),anddevices.Testingofintegratedcircuits.Extensivecustomandstandardcelllayoutandsimulationindesignprojectsandsoftwarelabs. V.Sze,A.P.Chandrakasan 6.375ComplexDigitalSystemsDesign Prereq:6.004AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)5-5-2units Introductiontothedesignandimplementationoflarge-scaledigitalsystemsusinghardwaredescriptionlanguagesandhigh-levelsynthesistoolsinconjunctionwithstandardcommercialelectronicdesignautomation(EDA)tools.Emphasizesmodularandrobustdesigns,reusablemodules,correctnessbyconstruction,architecturalexploration,meetingareaandtimingconstraints,anddevelopingfunctionalfield-programmablegatearray(FPGA)prototypes.ExtensiveuseofCADtoolsinweeklylabsserveaspreparationforamulti-persondesignprojectonmulti-milliongateFPGAs.Enrollmentmaybelimited. Arvind ProbabilisticSystemsandCommunication 6.401IntroductiontoStatisticalDataAnalysis Subjectmeetswith6.481Prereq:6.0001and(6.008,6.041,or18.600)U(Spring)4-0-8units Introductiontothecentralconceptsandmethodsofdatasciencewithanemphasisonstatisticalgroundingandmoderncomputationalcapabilities.Coversprinciplesinvolvedinextractinginformationfromdataforthepurposeofmakingpredictionsordecisions,includingdataexploration,featureselection,modelfitting,andperformanceassessment.Topicsincludelearningofdistributions,hypothesistesting(includingmultiplecomparisonprocedures),linearandnonlinearregressionandprediction,classification,timeseries,uncertaintyquantification,modelvalidation,causalinference,optimization,anddecisions.Computationalcasestudiesandprojectsdrawnfromapplicationsinfinance,sports,engineering,andmachinelearninglifesciences.Studentstakinggraduateversioncompleteadditionalassignments.Recommendedprerequisite:18.06. Y.Polyanskiy,D.Shah,J.N.Tsitsiklis 6.C01ModelingwithMachineLearning:fromAlgorithmstoApplications(6.402) Subjectmeetswith6.C51Prereq:CalculusII(GIR)and6.0001;Coreq:1.C01,2.C01,3.C01[J],or22.C01U(Spring)3-0-3units Focusesonmodelingwithmachinelearningmethodswithaneyetowardsapplicationsinengineeringandsciences.Introductiontomodernmachinelearningmethods,fromsupervisedtounsupervisedmodels,withanemphasisonnewerneuralapproaches.Emphasisontheunderstandingofhowandwhythemethodsworkfromthepointofviewofmodeling,andwhentheyareapplicable.Usingconcreteexamples,coversformulationofmachinelearningtasks,adaptingandextendingmethodstogivenproblems,andhowthemethodscanandshouldbeevaluated.Studentstakinggraduateversioncompleteadditionalassignments.Studentstakinggraduateversioncompleteadditionalassignments.Studentscannotreceivecreditwithoutsimultaneouscompletionofa6-unitdisciplinarymodule.Enrollmentmaybelimited. R.Barzilay,T.Jaakkola 6.419[J]Statistics,ComputationandApplications SamesubjectasIDS.012[J] Subjectmeetswith6.439[J],IDS.131[J]Prereq:((2.087,6.0002,6.01,18.03,or18.06)and(6.008,6.041,14.30,16.09,or18.05))orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:U(Fall)3-1-8units SeedescriptionundersubjectIDS.012[J].Enrollmentlimited;prioritytoStatisticsandDataScienceminors,andtojuniorsandseniors. C.Uhler,S.Jegelka 6.431IntroductiontoProbability Subjectmeetswith6.041Prereq:CalculusII(GIR)G(Fall,Spring)4-0-8unitsCreditcannotalsobereceivedfor15.079,15.0791,18.600 Anintroductiontoprobabilitytheory,themodelingandanalysisofprobabilisticsystems,andelementsofstatisticalinference.Probabilisticmodels,conditionalprobability.Discreteandcontinuousrandomvariables.Expectationandconditionalexpectation,andfurthertopicsaboutrandomvariables.LimitTheorems.Bayesianestimationandhypothesistesting.Elementsofclassicalstatisticalinference.BernoulliandPoissonprocesses.Markovchains.Studentstakinggraduateversioncompleteadditionalassignments. G.Bresler, P.Jaillet, J.N.Tsitsiklis 6.434[J]StatisticsforEngineersandScientists Samesubjectas16.391[J]Prereq:CalculusII(GIR),6.431,18.06,orpermissionofinstructorG(Fall)3-0-9units Rigorousintroductiontofundamentalsofstatisticsmotivatedbyengineeringapplications.Topicsincludeexponentialfamilies,orderstatistics,sufficientstatistics,estimationtheory,hypothesistesting,measuresofperformance,notionsofoptimality,analysisofvariance(ANOVA),simplelinearregression,andselectedtopics. M.Win,J.N.Tsitsiklis 6.435BayesianModelingandInference Prereq:6.436[J]and6.867G(Spring)3-0-9units Covers Bayesianmodelingandinferenceatanadvancedgraduatelevel.TopicsincludedeFinetti'stheorem,decisiontheory,approximateinference(modernapproachesandanalysisofMonteCarlo,variationalinference,etc.),hierarchicalmodeling,(continuousanddiscrete)nonparametricBayesianapproaches,sensitivityandrobustness,andevaluation. T.Broderick 6.436[J]FundamentalsofProbability Samesubjectas15.085[J]Prereq:CalculusII(GIR)G(Fall)4-0-8units Introductiontoprobabilitytheory.Probabilityspacesandmeasures.Discreteandcontinuousrandomvariables.Conditioningandindependence.Multivariatenormaldistribution.Abstractintegration,expectation,andrelatedconvergenceresults.Momentgeneratingandcharacteristicfunctions.BernoulliandPoissonprocess.Finite-stateMarkovchains.Convergencenotionsandtheirrelations.Limittheorems.Familiaritywithelementaryprobabilityandrealanalysisisdesirable. T.Broderick,D.Gamarnik,Y.Polyanskiy,J.N.Tsitsiklis 6.437InferenceandInformation Prereq:6.008,6.041B,or6.436[J]G(Spring)4-0-8units IntroductiontoprinciplesofBayesianandnon-Bayesianstatisticalinference.Hypothesistestingandparameterestimation,sufficientstatistics;exponentialfamilies.EMagorithm.Log-lossinferencecriterion,entropyandmodelcapacity.Kullback-Leiblerdistanceandinformationgeometry.Asymptoticanalysisandlargedeviationstheory.Modelorderestimation;nonparametricstatistics.Computationalissuesandapproximationtechniques;MonteCarlomethods.Selectedtopicssuchasuniversalinferenceandlearning,anduniversalfeaturesandneuralnetworks. P.Golland,G.W.Wornell 6.438AlgorithmsforInference Prereq:18.06and(6.008,6.041B,or6.436[J])G(Fall)4-0-8units Introductiontostatisticalinferencewithprobabilisticgraphicalmodels.Directedandundirectedgraphicalmodels,andfactorgraphs,overdiscreteandGaussiandistributions;hiddenMarkovmodels,lineardynamicalsystems.Sum-productandjunctiontreealgorithms;forward-backwardalgorithm,Kalmanfilteringandsmoothing.Min-sumandViterbialgorithms.Variationalmethods,mean-fieldtheory,andloopybeliefpropagation.Particlemethodsandfiltering.Buildinggraphicalmodelsfromdata,includingparameterestimationandstructurelearning;Baum-WelchandChow-Liualgorithms.Selectedspecialtopics. P.Golland,G.W.Wornell,D.Shah 6.439[J]Statistics,ComputationandApplications SamesubjectasIDS.131[J] Subjectmeetswith6.419[J],IDS.012[J]Prereq:((2.087,6.0002,6.01,18.03,or18.06)and(6.008,6.041,14.30,16.09,or18.05))orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-1-8units SeedescriptionundersubjectIDS.131[J].Limitedenrollment;prioritytoStatisticsandDataScienceminorsandtojuniorsandseniors. C.Uhler,S.Jegelka 6.440EssentialCodingTheory Prereq:6.006and6.045[J]G(Spring) Notofferedregularly;consultdepartment3-0-9units Introducesthetheoryoferror-correctingcodes.Focusesontheessentialresultsinthearea,taughtfromfirstprinciples.Specialfocusonresultsofasymptoticoralgorithmicsignificance.Principaltopicsincludeconstructionandexistenceresultsforerror-correctingcodes;limitationsonthecombinatorialperformanceoferror-correctingcodes;decodingalgorithms;andapplicationstootherareasofmathematicsandcomputerscience. Staff 6.441InformationTheory Prereq:6.041BG(Fall)3-0-9units Mathematicaldefinitionsofinformationmeasures,convexity,continuity,andvariationalproperties.Losslesssourcecoding;variable-lengthandblockcompression;Slepian-Wolftheorem;ergodicsourcesandShannon-McMillantheorem.Hypothesistesting,largedeviationsandI-projection.Fundamentallimitsofblockcodingfornoisychannels:capacity,dispersion,finiteblocklengthbounds.Codingwithfeedback.Jointsource-channelproblem.Rate-distortiontheory,vectorquantizers.AdvancedtopicsincludeGelfand-Pinskerproblem,multipleaccesschannels,broadcastchannels(dependingonavailabletime). M.Medard,Y.Polyanskiy,L.Zheng 6.442OpticalNetworks Prereq:6.041Bor6.042[J]AcadYear2021-2022:G(Spring) AcadYear2022-2023:Notoffered3-0-9units Introducesthefundamentalandpracticalaspectsofopticalnetworktechnology,architecture,designandanalysistoolsandtechniques.Thetreatmentofopticalnetworksarefromthearchitectureandsystemdesignpointsofview.Opticalhardwaretechnologiesareintroducedandcharacterizedasfundamentalnetworkbuildingblocksonwhichopticaltransmissionsystemsandnetworkarchitecturesarebased.BeyondthePhysicalLayer,thehighernetworklayers(MediaAccessControl,NetworkandTransportLayers)aretreatedtogetherasintegralpartsofnetworkdesign.Performancemetrics,analysisandoptimizationtechniquesaredevelopedtohelpguidethecreationofhighperformancecomplexopticalnetworks. V.W.S.Chan 6.443[J]QuantumInformationScience Samesubjectas8.371[J],18.436[J]Prereq:18.435[J]G(Spring)3-0-9units Seedescriptionundersubject8.371[J]. I.Chuang,A.Harrow 6.450PrinciplesofDigitalCommunication Prereq:6.003and6.041AcadYear2021-2022:G(Fall) AcadYear2022-2023:Notoffered3-0-9units Communicationsourcesandchannels;datacompression;entropyandtheAEP;Lempel-Zivuniversalcoding;scalarandvectorquantization;L2waveforms;signalspaceanditsrepresentationbysamplingandotherexpansions;aliasing;theNyquistcriterion;PAMandQAMmodulation;Gaussiannoiseandrandomprocesses;detectionandoptimalreceivers;fadingchannelsandwirelesscommunication;introductiontocommunicationsystemdesign.Priorcourseworkinbasicprobabilityandlinearsystemtheoryrecommended. M.Medard 6.452PrinciplesofWirelessCommunication Prereq:6.450AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9units Introductiontodesign,analysis,andfundamentallimitsofwirelesstransmissionsystems.Wirelesschannelandsystemmodels;fadinganddiversity;resourcemanagementandpowercontrol;multiple-antennaandMIMOsystems;space-timecodesanddecodingalgorithms;multiple-accesstechniquesandmultiuserdetection;broadcastcodesandprecoding;cellularandad-hocnetworktopologies;OFDMandultrawidebandsystems;architecturalissues. G.W.Wornell,L.Zheng 6.454GraduateSeminarinAreaI Prereq:PermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)2-0-4unitsCanberepeatedforcredit. Student-runadvancedgraduateseminarwithfocusontopicsincommunications,control,signalprocessing,optimization.Participantsgivepresentationsoutsideoftheirownresearchtoexposecolleaguestotopicsnotcoveredintheusualcurriculum.Recenttopicshaveincludedcompressedsensing,MDLprinciple,communicationcomplexity,linearprogrammingdecoding,biologyinEECS,distributedhypothesistesting,algorithmsforrandomsatisfactionproblems,andcryptogaphy.OpentoadvancedstudentsfromallareasofEECS.Limitedto12. L.Zheng,D.Shah 6.456ArrayProcessing Prereq:6.341and(2.687or(6.011and18.06))AcadYear2021-2022:G(Fall) AcadYear2022-2023:Notoffered3-2-7units Adaptiveandnon-adaptiveprocessingofsignalsreceivedatarraysofsensors.Deterministicbeamforming,space-timerandomprocesses,optimalandadaptivealgorithms,andthesensitivityofalgorithmperformancetomodelingerrorsandlimiteddata.Methodsofimprovingtherobustnessofalgorithmstomodelingerrorsandlimiteddataarederived.Advancedtopicsincludeanintroductiontomatchedfieldprocessingandphysics-basedmethodsofestimatingsignalstatistics.Homeworkexercisesprovidingtheopportunitytoimplementandanalyzetheperformanceofalgorithmsinprocessingdatasuppliedduringthecourse. E.Fischell 6.481IntroductiontoStatisticalDataAnalysis Subjectmeetswith6.401Prereq:6.0001and(6.008,6.041,18.600,orpermissionofinstructor)G(Spring)4-0-8units Introductiontothecentralconceptsandmethodsofdatasciencewithanemphasisonstatisticalgroundingandmoderncomputationalcapabilities.Coversprinciplesinvolvedinextractinginformationfromdataforthepurposeofmakingpredictionsordecisions,includingdataexploration,featureselection,modelfitting,andperformanceassessment.Topicsincludelearningofdistributions,hypothesistesting(includingmultiplecomparisonprocedures),linearandnonlinearregressionandprediction,classification,timeseries,uncertaintyquantification,modelvalidation,causalinference,optimization,anddecisions.Computationalcasestudiesandprojectsdrawnfromapplicationsinfinance,sports,engineering,andmachinelearninglifesciences.Studentstakinggraduateversioncompleteadditionalassignments. Recommendedprerequisite:18.06. Y.Polyanskiy,D.Shah,J.N.Tsitsiklis 6.C51ModelingwithMachineLearning:fromAlgorithmstoApplications(6.482) Subjectmeetswith6.C01Prereq:CalculusII(GIR)and6.0001;Coreq:1.C51,2.C51,3.C51[J],22.C51,orSCM.C51G(Spring)3-0-3units Focusesonmodelingwithmachinelearningmethodswithaneyetowardsapplicationsinengineeringandsciences.Introductiontomodernmachinelearningmethods,fromsupervisedtounsupervisedmodels,withanemphasisonnewerneuralapproaches.Emphasisontheunderstandingofhowandwhythemethodsworkfromthepointofviewofmodeling,andwhentheyareapplicable.Usingconcreteexamples,coversformulationofmachinelearningtasks,adaptingandextendingmethodstogivenproblems,andhowthemethodscanandshouldbeevaluated. Studentstakinggraduateversioncompleteadditionalassignments.Studentscannotreceivecreditwithoutsimultaneouscompletionofa6-unitdisciplinarymodule.Enrollmentmaybelimited. R.Barzilay,T.Jaakkola 6.484SensorimotorLearning(New) Prereq:6.036or6.867G(Spring)3-0-9units Providesanin-depthviewofthestate-of-the-artlearningmethodsforcontrolandtheknow-howofapplyingthesetechniques.Topicsspanreinforcementlearning,self-supervisedlearning,imitationlearning,model-basedlearning,andadvanceddeeplearningarchitectures,andspecificmachinelearningchallengesuniquetobuildingsensorimotorsystems.Discusseshowtoidentifyiflearning-basedcontrolcanhelpsolveaparticularproblem,howtoformulatetheprobleminthelearningframework,andwhatalgorithmtouse.Applicationsofalgorithmsinrobotics,logistics,recommendationsystems,playinggames,andothercontroldomainscovered.Instructioninvolvestwolecturesaweek,practicalexperiencethroughexercises,discussionofcurrentresearchdirections,andagroupproject. P.Agrawal 6.485OptimizationforMachineLearning(New) Prereq:6.036and18.06AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Optimizationalgorithmsarecentraltoallofmachinelearning.Coversavarietyoftopicsinoptimization,withafocusonnon-convexoptimization.Focusesonbothclassicalandcutting-edgeresults,includingfoundationaltopicsgroundedinconvexity,complexitytheoryoffirst-ordermethods,stochasticoptimization,aswellasrecentprogressinnon-Euclideanoptimization,deeplearning,andbeyond.PreparesstudentstoappreciateabroadspectrumofideasinOPTML,learningtobenotonlyinformedusersbut alsogainingexposuretoresearchquestionsinthearea. S.Sra BioelectricalEngineering 6.521[J]CellularNeurophysiologyandComputing Samesubjectas2.794[J],9.021[J],20.470[J],HST.541[J] Subjectmeetswith2.791[J],6.021[J],9.21[J],20.370[J]Prereq:(PhysicsII(GIR),18.03,and(2.005,6.002,6.003,10.301,or20.110[J]))orpermissionofinstructorG(Spring)5-2-5units Integratedoverviewofthebiophysicsofcellsfromprokaryotestoneurons,withafocusonmasstransportandelectricalsignalgenerationacrosscellmembrane.Firstthirdofcoursefocusesonmasstransportthroughmembranes:diffusion,osmosis,chemicallymediated,andactivetransport.Secondthirdfocusesonelectricalpropertiesofcells:iontransporttoactionpotentialgenerationandpropagationinelectricallyexcitablecells.Synaptictransmission.Electricalpropertiesinterpretedviakineticandmolecularpropertiesofsinglevoltage-gatedionchannels.Finalthirdfocusesonbiophysicsofsynaptictransmissionandintroductiontoneuralcomputing.Laboratoryandcomputerexercisesillustratetheconcepts.Studentstakinggraduateversioncompletedifferentassignments. J.Han,T.Heldt 6.522[J]QuantitativePhysiology:OrganTransportSystems Samesubjectas2.796[J] Subjectmeetswith2.792[J],6.022[J],HST.542[J]Prereq:6.021[J]and(2.006or6.013)G(Spring)4-2-6units Applicationoftheprinciplesofenergyandmassflowtomajorhumanorgansystems.Anatomical,physiologicalandclinicalfeaturesofthecardiovascular,respiratoryandrenalsystems.Mechanismsofregulationandhomeostasis.Systems,featuresanddevicesthataremostilluminatedbythemethodsofphysicalsciencesandengineeringmodels.Requiredlaboratoryworkincludesanimalstudies.Studentstakinggraduateversioncompleteadditionalassignments. T.Heldt,R.G.Mark 6.524[J]Molecular,Cellular,andTissueBiomechanics Samesubjectas2.798[J],3.971[J],10.537[J],20.410[J]Prereq:Biology(GIR)and(2.002,2.006,6.013,10.301,or10.302)AcadYear2021-2022:G(Fall,Spring) AcadYear2022-2023:Notoffered3-0-9units Seedescriptionundersubject20.410[J]. R.D.Kamm,K.J.VanVliet 6.525[J]MedicalDeviceDesign Samesubjectas2.75[J],HST.552[J] Subjectmeetswith2.750[J],6.025[J]Prereq:2.008,6.101,6.111,6.115,22.071,orpermissionofinstructorG(Spring)3-3-6units Seedescriptionundersubject2.75[J].Enrollmentlimited. A.H.Slocum,G.Hom,E.Roche,N.C.Hanumara 6.542[J]LaboratoryonthePhysiology,Acoustics,andPerceptionofSpeech Samesubjectas24.966[J],HST.712[J]Prereq:PermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)2-2-8units Experimentalinvestigationsofspeechprocesses.Topicsincludewaveform andspectralanalysisofspeech;identificationandannotationofacousticspeechcues; perceptionanddiscriminationofspeech-likesounds;speechprosody;foundationalconceptsforspeechrecognitionandanalysis;speechdevelopment;atypicalspeech;andothers.Recommendedprerequisite:6.003, 18.03,or 24.900. S.Shattuck-Hufnagel,J.-Y.Choi 6.544, 6.545AdvancedTopicsinBioEECS Prereq:PermissionofinstructorG(Fall,Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. AdvancedstudyoftopicsinBioEECS.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.552[J]SignalProcessingbytheAuditorySystem:Perception SamesubjectasHST.716[J]Prereq:(6.003and(6.041Bor6.431))orpermissionofinstructorG(Fall) Notofferedregularly;consultdepartment3-0-9units Studiesinformationprocessingperformanceofthehumanauditorysysteminrelationtocurrentphysiologicalknowledge.Examinesmathematicalmodelsforthequantificationofauditory-basedbehaviorandtherelationbetweenbehaviorandperipheralphysiology,reflectingthetono-topicorganizationandstochasticresponsesoftheauditorysystem.Mathematicalmodelsofpsychophysicalrelations,incorporatingquantitativeknowledgeofphysiologicaltransformationsbytheperipheralauditorysystem. L.D.Braida 6.555[J]BiomedicalSignalandImageProcessing(New) Samesubjectas16.456[J],HST.582[J] Subjectmeetswith6.026[J],HST.482[J]Prereq:(6.041and(2.004,6.003,16.002,or18.085))orpermissionofinstructorG(Spring)3-1-8units Fundamentalsofdigitalsignalprocessingwithemphasisonproblemsinbiomedicalresearchandclinicalmedicine.Basicprinciplesandalgorithmsforprocessingbothdeterministicandrandomsignals.Topicsincludedataacquisition,imaging,filtering,coding,featureextraction,andmodeling.Labprojects,performedinMATLAB,providepracticalexperienceinprocessingphysiologicaldata,withexamplesfromcardiology,speechprocessing,andmedicalimaging.Lecturescoversignalprocessingtopicsrelevanttothelabexercises,aswellasbackgroundonthebiologicalsignalsprocessedinthelabs.Studentstakinggraduateversioncompleteadditionalassignments. J.Greenberg,E.Adalsteinsson,W.Wells 6.556[J]DataAcquisitionandImageReconstructioninMRI SamesubjectasHST.580[J]Prereq:6.011AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9units Appliesanalysisofsignalsandnoiseinlinearsystems,sampling,andFourierpropertiestomagneticresonance(MR)imagingacquisitionandreconstruction.ProvidesadequatefoundationforMRphysicstoenablestudyofRFexcitationdesign,efficientFouriersampling,parallelencoding,reconstructionofnon-uniformlysampleddata,andtheimpactofhardwareimperfectionsonreconstructionperformance.SurveysactiveareasofMRresearch.AssignmentsincludeMatlab-basedworkwithrealdata.IncludesvisittoascansiteforhumanMRstudies. E.Adalsteinsson 6.557[J]BiomolecularFeedbackSystems Samesubjectas2.18[J] Subjectmeetswith2.180[J],6.027[J]Prereq:Biology(GIR),18.03,orpermissionofinstructorG(Spring)3-0-9units Seedescriptionundersubject2.18[J]. D.DelVecchio,R.Weiss 6.561[J]Fields,Forces,andFlowsinBiologicalSystems Samesubjectas2.795[J],10.539[J],20.430[J]Prereq:PermissionofinstructorG(Fall)3-0-9units Seedescriptionundersubject20.430[J]. M.Bathe,A.J.Grodzinsky 6.580[J]PrinciplesofSyntheticBiology Samesubjectas20.305[J] Subjectmeetswith6.589[J],20.405[J]Prereq:NoneU(Fall)3-0-9units Seedescriptionundersubject20.305[J]. R.Weiss 6.589[J]PrinciplesofSyntheticBiology Samesubjectas20.405[J] Subjectmeetswith6.580[J],20.305[J]Prereq:NoneG(Fall)3-0-9units Seedescriptionundersubject20.405[J]. R.Weiss Electrodynamics 6.602FundamentalsofPhotonics Subjectmeetswith6.621Prereq:2.71,6.013,or8.07U(Fall)3-0-9units Coversthefundamentalsofopticsandtheinteractionoflightandmatter,leadingtodevicessuchaslightemittingdiodes,opticalamplifiers,andlasers.Topicsincludeclassicalray,wave,beam,andFourieroptics;Maxwell'selectromagneticwaves;resonators;quantumtheoryofphotons;light-matterinteraction;laseramplification;lasers;andsemiconductorsoptoelectronics.Studentstakinggraduateversioncompleteadditionalassignments. D.R.Englund 6.621FundamentalsofPhotonics Subjectmeetswith6.602Prereq:2.71,6.013,or8.07G(Fall)3-0-9units Coversthefundamentalsofopticsandtheinteractionoflightandmatter,leadingtodevicessuchaslightemittingdiodes,opticalamplifiers,andlasers.Topicsincludeclassicalray,wave,beam,andFourieroptics;Maxwell'selectromagneticwaves;resonators;quantumtheoryofphotons;light-matterinteraction;laseramplification;lasers;andsemiconductorsoptoelectronics.Studentstakinggraduateversioncompleteadditionalassignments. D.R.Englund 6.630Electromagnetics Prereq:PhysicsII(GIR)and6.003G(Fall)4-0-8units Exploreselectromagneticphenomenainmodernapplications,includingwirelessandopticalcommunications,circuits,computerinterconnectsandperipherals,microwavecommunicationsandradar,antennas,sensors,micro-electromechanicalsystems,andpowergenerationandtransmission.FundamentalsincludequasistaticanddynamicsolutionstoMaxwell'sequations;waves,radiation,anddiffraction;couplingtomediaandstructures;guidedandunguidedwaves;modalexpansions;resonance;acousticanalogs;andforces,power,andenergy. M.R.Watts 6.631OpticsandPhotonics Prereq:6.013or8.07G(Fall)3-0-9units Introductiontofundamentalconceptsandtechniquesofoptics,photonics,andfiberoptics.ReviewofMaxwell'sequations,lightpropagation,andreflectionfromdielectricsmirrorsandfilters.Interferometers,filters,andopticalimagingsystems.FresnelandFraunhofferdiffractiontheory.PropagationofGaussianbeamsandlaserresonatordesign.Opticalwaveguidesandopticalfibers.Opticalwaveguideandphotonicdevices. J.G.Fujimoto 6.632ElectromagneticWaveTheory Prereq:6.013,6.630,or8.07G(Spring) Notofferedregularly;consultdepartment3-0-9units SolutionstoMaxwellequationsandphysicalinterpretation.Topicsincludewavesinmedia,equivalenceprinciple,dualityandcomplementarity,Huygens'principle,FresnelandFraunhoferdiffraction,radiationanddyadicGreen'sfunctions,scattering,metamaterials,andplasmonics,modetheory,dielectricwaveguides,andresonators.Examplesdealwithlimitingcasesofelectromagnetictheory,multi-portelements,filtersandantennas.Discussescurrenttopicsinmicrowaveandphotonicdevices. M.R.Watts 6.634[J]NonlinearOptics Samesubjectas8.431[J]Prereq:6.013or8.07G(Spring)3-0-9units Techniquesofnonlinearopticswithemphasisonfundamentalsforresearchandengineeringinoptics,photonics,andspectroscopy.Electroopticmodulators,harmonicgeneration,andfrequencyconversiondevices.Nonlineareffectsinopticalfibersincludingself-phasemodulation,nonlinearwavepropagation,andsolitons.Interactionoflightwithmatter,laseroperation,densitymatrixtechniques,nonlinearspectroscopies,andfemtosecondoptics. J.G.Fujimoto 6.637OpticalImagingDevices,andSystems Prereq:6.003G(Fall)3-0-9unitsCreditcannotalsobereceivedfor6.161 Principlesofoperationandapplicationsof opticalimagingdevices andsystems(includesopticalsignalgeneration,transmission,detection,storage,processinganddisplay).Topicsincludereviewofthebasicpropertiesofelectromagneticwaves;coherenceandinterference;diffractionandholography;Fourieroptics;coherentandincoherentimagingandsignalprocessingsystems;opticalpropertiesofmaterials;lasersandLEDs;electro-opticandacousto-opticlightmodulators;photorefractiveandliquid-crystallightmodulation;spatiallightmodulatorsanddisplays;near-eyeandprojectiondisplays,holographicandother3-Ddisplayschemes,photodetectors;2-Dand3-Dopticalstoragetechnologies;adaptiveopticalsystems;roleofopticsinnext-generationcomputers.Requiresaresearchpaperonaspecificcontemporaryopticalimagingtopic.Recommendedprerequisite:8.03. C.Warde 6.640ElectromagneticFields,ForcesandMotion Subjectmeetswith6.014Prereq:PhysicsII(GIR)and18.03G(Fall)3-0-9units Studyofelectromagneticsandelectromagneticenergyconversionleadingtoanunderstandingofdevices,includingelectromagneticsensors,actuators,motorsandgenerators.QuasistaticMaxwell'sequationsandtheLorentzforcelaw.StudiesofthequasistaticfieldsandtheirsourcesthroughsolutionsofPoisson'sandLaplace'sequations.Boundaryconditionsandmulti-regionboundary-valueproblems.Steady-stateconduction,polarization,andmagnetization.Chargeconservationandrelaxation,andmagneticinductionanddiffusion.Extensiontomovingmaterials.Electricandmagneticforcesandforcedensitiesderivedfromenergy,andstresstensors.Extensiveuseofengineeringexamples.Studentstakinggraduateversioncompleteadditionalassignments. J.L.Kirtley,Jr.,J.H.Lang 6.644AdvancedTopicsinAppliedPhysics Prereq:PermissionofinstructorG(Fall)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinappliedphysics.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.645AdvancedTopicsinAppliedPhysics Prereq:PermissionofinstructorG(Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinappliedphysics.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.685ElectricMachines Prereq:(6.061or6.690)orpermissionofinstructorG(Fall) Notofferedregularly;consultdepartment3-0-9units Treatmentofelectromechanicaltransducers,rotatingandlinearelectricmachines.Lumped-parameterelectromechanics.PowerflowusingPoynting'stheorem,forceestimationusingtheMaxwellstresstensorandPrincipleofvirtualwork.Developmentofanalyticaltechniquesforpredictingdevicecharacteristics:energyconversiondensity,efficiency;andofsysteminteractioncharacteristics:regulation,stability,controllability,andresponse.Useofelectricmachinesindrivesystems.Problemstakenfromcurrentresearch. J.L.Kirtley,Jr. 6.690IntroductiontoElectricPowerSystems Subjectmeetswith6.061Prereq:6.002and6.013G(Spring) Notofferedregularly;consultdepartment3-0-9units Electriccircuittheorywithapplicationtopowerhandlingelectriccircuits.Modelingandbehaviorofelectromechanicaldevices,includingmagneticcircuits,motors,andgenerators.Operationalfundamentalsofsynchronous.Interconnectionofgeneratorsandmotorswithelectricpowertransmissionanddistributioncircuits.Powergeneration,includingalternativeandsustainablesources.Incorporationofenergystorageinpowersystems.Studentstakinggraduateversioncompleteadditionalassignments. J.L.Kirtley,Jr. 6.695[J]Engineering,EconomicsandRegulationoftheElectricPowerSector Samesubjectas15.032[J],IDS.505[J]Prereq:NoneG(Spring)3-0-9unitsCreditcannotalsobereceivedforIDS.064 SeedescriptionundersubjectIDS.505[J]. I.Perez-Arriaga,C.Battle-Lopez,T.Schittekatte,P.Joskow Solid-StateMaterialsandDevices 6.701IntroductiontoNanoelectronics Subjectmeetswith6.719Prereq:6.003U(Fall) Notofferedregularly;consultdepartment4-0-8units Transistorsatthenanoscale.Quantization,wavefunctions,andSchrodinger'sequation.Introductiontoelectronicpropertiesofmolecules,carbonnanotubes,andcrystals.Energybandformationandtheoriginofmetals,insulatorsandsemiconductors.Ballistictransport,Ohm'slaw,ballisticversustraditionalMOSFETs,fundamentallimitstocomputation. M.A.Baldo 6.717[J]DesignandFabricationofMicroelectromechanicalSystems Samesubjectas2.374[J] Subjectmeetswith2.372[J],6.777[J]Prereq:(PhysicsII(GIR)and(2.003[J]or6.003))orpermissionofinstructorU(Spring) Notofferedregularly;consultdepartment3-0-9units Providesanintroductiontomicrosystemdesign.Coversmaterialproperties,microfabricationtechnologies,structuralbehavior,sensingmethods,electromechanicalactuation,thermalactuationandcontrol,multi-domainmodeling,noise,andmicrosystempackaging.Appliesmicrosystemmodeling,andmanufacturingprinciplestothedesignandanalysisavarietyofmicroscalesensorsandactuators(e.g.,opticalMEMS,bioMEMS,andinertialsensors).Emphasizesmodelingandsimulationinthedesignprocess.Studentstakingthegraduateversioncompleteadditionalassignments. Staff 6.719Nanoelectronics Subjectmeetswith6.701Prereq:6.003G(Fall) Notofferedregularly;consultdepartment4-0-8units Meetswithundergraduatesubject6.701,butrequiresthecompletionofadditional/differenthomeworkassignmentsandorprojects.Seesubjectdescriptionunder6.701. M.A.Baldo 6.720[J]IntegratedMicroelectronicDevices Samesubjectas3.43[J]Prereq:3.42or6.012G(Fall)4-0-8units Coversphysicsofmicroelectronicsemiconductordevicesforintegratedcircuitapplications.Topicsincludesemiconductorfundamentals,p-njunction,metal-oxidesemiconductorstructure,metal-semiconductorjunction,MOSfield-effecttransistor,andbipolarjunctiontransistor. Emphasizesphysicalunderstandingofdeviceoperationthroughenergybanddiagramsandshort-channelMOSFETdevicedesignandmoderndevicescaling.FamiliaritywithMATLABrecommended. J.A.delAlamo,H.L.Tuller 6.728AppliedQuantumandStatisticalPhysics Prereq:18.06G(Fall)4-0-8units Elementaryquantummechanicsandstatisticalphysics.Introducesappliedquantumphysics.Emphasizesexperimentalbasisforquantummechanics.AppliesSchrodinger'sequationtothefreeparticle,tunneling,theharmonicoscillator,andhydrogenatom.Variationalmethods.Elementarystatisticalphysics;Fermi-Dirac,Bose-Einstein,andBoltzmanndistributionfunctions.Simplemodelsformetals,semiconductors,anddevicessuchaselectronmicroscopes,scanningtunnelingmicroscope,thermonicemitters,atomicforcemicroscope,andmore.SomefamiliaritywithcontinuoustimeFouriertransformsrecommended. P.L.Hagelstein 6.730PhysicsforSolid-StateApplications Prereq:6.013and6.728G(Spring)5-0-7units Classicalandquantummodelsofelectronsandlatticevibrationsinsolids,emphasizingphysicalmodelsforelasticproperties,electronictransport,andheatcapacity.Crystallattices,electronicenergybandstructures,phonondispersionrelations,effectivemasstheorem,semiclassicalequationsofmotion,electronscatteringandsemiconductoropticalproperties.Bandstructureandtransportpropertiesofselectedsemiconductors.Connectionofquantumtheoryofsolidswithquasi-FermilevelsandBoltzmanntransportusedindevicemodeling. Q.Hu,R.Ram 6.731SemiconductorOptoelectronics:TheoryandDesign Prereq:6.012and6.728AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Focusesonthephysicsoftheinteractionofphotonswithsemiconductormaterials.Usesthebandtheoryofsolidstocalculatetheabsorptionandgainofsemiconductormedia;andusesrateequationformalismtodeveloptheconceptsoflaserthreshold,populationinversion,andmodulationresponse.Presentstheoryanddesignforphotodetectors,solarcells,modulators,amplifiers,andlasers.Introducesnoisemodelsforsemiconductordevices,andapplicationsofoptoelectronicdevicestofiberopticcommunications. R.J.Ram 6.732PhysicsofSolids Prereq:6.730or8.231G(Fall) Notofferedregularly;consultdepartment4-0-8units Continuationof6.730emphasizingapplications-relatedphysicalissuesinsolids.Topicsinclude:electronicstructureandenergybanddiagramsofsemiconductors,metals,andinsulators;Fermisurfaces;dynamicsofelectronsunderelectricandmagneticfields;classicaldiffusivetransportphenomenasuchaselectricalandthermalconductionandthermoelectricphenomena;quantumtransportintunnelingandballisticdevices;opticalpropertiesofmetals,semiconductors,andinsulators;impuritiesandexcitons;photon-latticeinteractions;Kramers-Kronigrelations;optoelectronicdevicesbasedoninterbandandintersubbandtransitions;magneticpropertiesofsolids;exchangeenergyandmagneticordering;magneto-oscillatoryphenomena;quantumHalleffect;superconductingphenomenaandsimplemodels. Q.Hu 6.735, 6.736AdvancedTopicsinMaterials,Devices,andNanotechnology Prereq:PermissionofinstructorG(Fall,Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinmaterials,devices,andnanotechnology.Specificfocusvariesfromyeartoyear. ConsultDepartment 6.774PhysicsofMicrofabrication:FrontEndProcessing Prereq:6.152[J]G(Fall) Notofferedregularly;consultdepartment3-0-9units Presentsadvancedphysicalmodelsandpracticalaspectsoffront-endmicrofabricationprocesses,suchasoxidation,diffusion,ionimplantation,chemicalvapordeposition,atomiclayerdeposition,etching,andepitaxy.CoverstopicsrelevanttoCMOS,bipolar,andoptoelectronicdevicefabrication,includinghighkgatedielectrics,gateetching,implant-damageenhanceddiffusion,advancedmetrology,stresseffectsonoxidation,non-planarandnanowiredevicefabrication,SiGeandfabricationofprocess-inducedstrainedSi.ExposuretoCMOSprocessintegrationconcepts,andimpactsofprocessingondevicecharacteristics.Studentsusemodernprocesssimulationtools. J.L.Hoyt,L.R.Reif 6.775CMOSAnalogandMixed-SignalCircuitDesign Prereq:6.301G(Spring)3-0-9units Adetailedexpositionoftheprinciplesinvolvedindesigningandoptimizinganalogandmixed-signalcircuitsinCMOStechnologies.Small-signalandlarge-signalmodels.Systemicmethodologyfordevicesizingandbiasing.Basiccircuitbuildingblocks.Operationalamplifierdesign.Largesignalconsiderations.Principlesofswitchedcapacitornetworksincludingswitched-capacitorandcontinuous-timeintegratedfilters.BasicandadvancedA/DandD/Aconverters,delta-sigmamodulators,RFandothersignalprocessingcircuits.Designprojectsonopampsandsubsystemsarearequiredpartofthesubject. H.S.Lee,R.Han 6.776HighSpeedCommunicationCircuits Prereq:6.301G(Fall)3-3-6units Principlesandtechniquesofhigh-speedintegratedcircuitsusedinwireless/wirelinedatalinksandremotesensing.On-chippassivecomponentdesignofinductors,capacitors,andantennas.Analysisofdistributedeffects,suchastransmissionlinemodeling,S-parameters,andSmithchart.Transceiverarchitecturesandcircuitblocks,whichincludelow-noiseamplifiers,mixers,voltage-controlledoscillators,poweramplifiers,andfrequencydividers.InvolvesIC/EMsimulationandlaboratoryprojects. R.Han 6.777[J]DesignandFabricationofMicroelectromechanicalSystems Samesubjectas2.372[J] Subjectmeetswith2.374[J],6.717[J]Prereq:(PhysicsII(GIR)and(2.003[J]or6.003))orpermissionofinstructorG(Spring) Notofferedregularly;consultdepartment3-0-9units Providesanintroductiontomicrosystemdesign.Coversmaterialproperties,microfabricationtechnologies,structuralbehavior,sensingmethods,electromechanicalactuation,thermalactuationandcontrol,multi-domainmodeling,noise,andmicrosystempackaging.Appliesmicrosystemmodeling,andmanufacturingprinciplestothedesignandanalysisavarietyofmicroscalesensorsandactuators(e.g.,opticalMEMS,bioMEMS,andinertialsensors).Emphasizesmodelingandsimulationinthedesignprocess.Studentstakingthegraduateversioncompleteadditionalassignments. Staff 6.780[J]ControlofManufacturingProcesses Samesubjectas2.830[J]Prereq:2.008,6.041,or6.152[J]G(Fall)3-0-9units Seedescriptionundersubject2.830[J]. D.E.Hardt,D.S.Boning 6.781[J]NanostructureFabrication Samesubjectas2.391[J]Prereq:(2.710,6.152[J],or6.161)orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)4-0-8units Describescurrenttechniquesusedtoanalyzeandfabricatenanometer-length-scalestructuresanddevices.Emphasizesimagingandpatterningofnanostructures,includingfundamentalsofoptical,electron(scanning,transmission,andtunneling),andatomic-forcemicroscopy;optical,electron,ion,andnanoimprintlithography,templatedself-assembly,andresisttechnology.Surveyssubstratecharacterizationandpreparation,facilities,andmetrologyrequirementsfornanolithography.Addressesnanodeviceprocessingmethods,suchasliquidandplasmaetching,lift-off,electroplating,andion-implant.Discussesapplicationsinnanoelectronics,nanomaterials,andnanophotonics. K.K.Berggren ComputerScience 6.800RoboticManipulation(New) Subjectmeetswith6.843Prereq:(6.0001and6.036)orpermissionofinstructorU(Fall)4-2-9units Introducesthefundamentalalgorithmicapproachesforcreatingrobotsystemsthatcanautonomouslymanipulatephysicalobjectsinopen-worldenvironmentssuchashomesandwarehouses.Topicsincludegeometricandsemanticperception,trajectoryandtask-levelplanning,learning,kinematics,dynamics,andcontrol.Studentstakinggraduateversioncompleteadditionalassignments.Studentsengageinextensivewrittenandoralcommunicationexercises. T.P.Lozano-Perez,R.Tedrake 6.801MachineVision Subjectmeetswith6.866Prereq:6.003orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:U(Fall)3-0-9units Derivingasymbolicdescriptionoftheenvironmentfromanimage.Understandingphysicsofimageformation.Imageanalysisasaninversionproblem.Binaryimageprocessingandfilteringofimagesaspreprocessingsteps.Recoveringshape,lightness,orientation,andmotion.Usingconstraintstoreducetheambiguity.PhotometricstereoandextendedGaussiansphere.Applicationstorobotics;intelligentinteractionofmachineswiththeirenvironment.Studentstakingthegraduateversioncompletedifferentassignments. B.K.P.Horn 6.802[J]ComputationalSystemsBiology:DeepLearningintheLifeSciences Samesubjectas20.390[J] Subjectmeetswith6.874[J],20.490,HST.506[J]Prereq:(7.05and(6.0002or6.01))orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:U(Spring)3-0-9units Presentsinnovativeapproachestocomputationalproblemsinthelifesciences,focusingondeeplearning-basedapproacheswithcomparisonstoconventionalmethods.Topicsincludeprotein-DNAinteraction,chromatinaccessibility,regulatoryvariantinterpretation,medicalimageunderstanding,medicalrecordunderstanding,therapeuticdesign,andexperimentdesign(thechoiceandinterpretationofinterventions).Focusesonmachinelearningmodelselection,robustness,andinterpretation.TeamscompleteamultidisciplinaryfinalresearchprojectusingTensorFloworotherframework.Providesacomprehensiveintroductiontoeachlifesciencesproblem,butreliesuponstudentsunderstandingprobabilisticproblemformulations.Studentstakinggraduateversioncompleteadditionalassignments. D.K.Gifford 6.803TheHumanIntelligenceEnterprise Subjectmeetswith6.833Prereq:6.034orpermissionofinstructorU(Spring) Notofferedregularly;consultdepartment3-0-9units Analyzesseminalworkdirectedatthedevelopmentofacomputationalunderstandingofhumanintelligence,suchasworkonlearning,language,vision,eventrepresentation,commonsensereasoning,selfreflection,storyunderstanding,andanalogy.ReviewsvisionaryideasofTuring,Minsky,andotherinfluentialthinkers.Examinestheimplicationsofworkonbrainscanning,developmentalpsychology,andcognitivepsychology.Emphasisondiscussionandanalysisoforiginalpapers.Studentstakinggraduateversioncompleteadditionalassignments.Enrollmentlimited. P.H.Winston 6.804[J]ComputationalCognitiveScience Samesubjectas9.66[J] Subjectmeetswith9.660Prereq:6.008,6.036,6.041,9.40,18.05,orpermissionofinstructorU(Fall)3-0-9units Seedescriptionundersubject9.66[J]. J.Tenenbaum 6.805[J]FoundationsofInformationPolicy SamesubjectasSTS.085[J] SubjectmeetswithSTS.487Prereq:PermissionofinstructorU(Fall)3-0-9units.HASS-S Studiesthegrowthofcomputerandcommunicationstechnologyandthenewlegalandethicalchallengesthatreflecttensionsbetweenindividualrightsandsocietalneeds.Topicsincludecomputercrime;intellectualpropertyrestrictionsonsoftware;encryption,privacy,andnationalsecurity;academicfreedomandfreespeech.Studentsmeetandquestiontechnologists,activists,lawenforcementagents,journalists,andlegalexperts.Instructionandpracticeinoralandwrittencommunicationprovided.Studentstakinggraduateversioncompleteadditionalassignments.Enrollmentlimited. H.Abelson,R.DavidEdelman,M.Fischer,D.Weitzner 6.806QuantitativeMethodsforNaturalLanguageProcessing Subjectmeetswith6.864Prereq:6.046[J]orpermissionofinstructorU(Fall)3-0-9units Introducesthestudyofhumanlanguagefromacomputationalperspective,includingsyntactic,semanticanddiscourseprocessingmodels.Emphasizesmachinelearningmethodsandalgorithms.Usesthesemethodsandmodelsinapplicationssuchassyntacticparsing,informationextraction,statisticalmachinetranslation,dialoguesystems.Studentstakinggraduateversioncompleteadditionalassignments. J.Andreas,J.Glass 6.807ComputationalDesignandFabrication Prereq:CalculusII(GIR)and(6.009orpermissionofinstructor)U(Fall)3-0-9units Introducescomputationalaspectsofcomputer-aideddesignandmanufacturing.Exploresrelevantmethodsinthecontextofadditivemanufacturing(e.g.,3Dprinting).Topicsincludecomputergraphics(geometrymodeling,solidmodeling,proceduralmodeling),physically-basedsimulation(kinematics,finiteelementmethod),3Dscanning/geometryprocessing,andanoverviewof3Dfabricationmethods.Exposesstudentstothelatestresearchincomputationalfabrication. W.Matusik 6.808[J]MobileandSensorComputing SamesubjectasMAS.453[J]Prereq:6.033orpermissionofinstructorU(Spring)3-0-9units Focuseson"InternetofThings"(IoT)systemsandtechnologies,sensing,computing,andcommunication.Exploresfundamentaldesignandimplementationissuesintheengineeringofmobileandsensorcomputingsystems.Topicsincludebattery-freesensors,seeingthroughwall,roboticsensors,vitalsignsensors(breathing,heartbeats,emotions),sensingincarsandautonomousvehicles,subseaIoT,sensorsecurity,positioningtechnologies(includingGPSandindoorWiFi),inertialsensing(accelerometers,gyroscopes,inertialmeasurementunits,dead-reckoning),embeddedanddistributedsystemarchitectures,sensingwithradiosignals,sensingwithmicrophonesandcameras,wirelesssensornetworks,embeddedanddistributedsystemarchitectures,mobilelibrariesandAPIstosensors,andapplicationcasestudies.Includesreadingsfromresearchliterature,aswellaslaboratoryassignmentsandasignificanttermproject. H.Balakrishnan,S.Madden,F.Adib 6.810EngineeringInteractiveTechnologies Prereq:6.031,6.08,6.111,6.115,orpermissionofinstructorU(Fall)1-5-6units Providesinstructioninbuildingcutting-edgeinteractivetechnologies,explainstheunderlyingengineeringconcepts,andshowshowthosetechnologiesevolvedovertime.Studentsuseastudioformat(i.e.,extendedperiodsoftime)forconstructingsoftwareandhardwareprototypes.Topicsincludeinteractivetechnologies,suchasmulti-touch,augmentedreality,haptics,wearables,andshape-changing interfaces.Inagroupproject,studentsbuildtheirowninteractivehardware/softwareprototypesandpresenttheminalivedemoattheendofterm.Enrollmentmaybelimited. S.Mueller 6.811[J]PrinciplesandPracticeofAssistiveTechnology Samesubjectas2.78[J],HST.420[J]Prereq:PermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:U(Fall)2-4-6units Studentsworkcloselywithpeoplewithdisabilitiestodevelopassistiveandadaptivetechnologiesthathelpthemlivemoreindependently.Coversdesignmethodsandproblem-solvingstrategies;humanfactors;human-machineinterfaces;communityperspectives;socialandethicalaspects;andassistivetechnologyformotor,cognitive,perceptual,andage-relatedimpairments.Priorknowledgeofoneormoreofthefollowingareasuseful:software;electronics;human-computerinteraction;cognitivescience;mechanicalengineering;control;orMIThobbyshop,MITPSC,orotherrelevantindependentprojectexperience.Enrollmentmaybelimited. R.C.Miller,J.E.Greenberg,J.J.Leonard 6.812HardwareArchitectureforDeepLearning Subjectmeetswith6.825Prereq:6.003or6.004U(Spring)3-3-6units IntroductiontothedesignandimplementationofhardwarearchitecturesforefficientprocessingofdeeplearningalgorithmsinAIsystems.Topicsincludebasicsofdeeplearning,programmableplatforms,accelerators,co-optimizationofalgorithmsandhardware,training,supportforcomplexnetworks,andapplicationsofadvancedtechnologies.Includeslabsinvolvingmodelingandanalysisofhardwarearchitectures,buildingsystemsusingpopulardeeplearningtoolsandplatforms(CPU,GPU,FPGA),andanopen-endeddesignproject.Studentstakinggraduateversioncompleteadditionalassignments. V.Sze,J.Emer 6.814DatabaseSystems Subjectmeetswith6.830Prereq:(6.033and(6.006or6.046[J]))orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:U(Fall)3-0-9units Topicsrelatedtotheengineeringanddesignofdatabasesystems,includingdatamodels;databaseandschemadesign;schemanormalizationandintegrityconstraints;queryprocessing;queryoptimizationandcostestimation;transactions;recovery;concurrencycontrol;isolationandconsistency;distributed,parallelandheterogeneousdatabases;adaptivedatabases;triggersystems;pub-subsystems;semistructureddataandXMLquerying.Lectureandreadingsfromoriginalresearchpapers.Semester-longprojectandpaper.Studentstakinggraduateversioncompletedifferentassignments.Enrollmentmaybelimited. S.R.Madden 6.815DigitalandComputationalPhotography Subjectmeetswith6.865Prereq:CalculusII(GIR)and6.009U(Fall)3-0-9units Presentsfundamentalsandapplicationsofhardwareandsoftwaretechniquesusedindigitalandcomputationalphotography,withanemphasisonsoftwaremethods.Providessufficientbackgroundtoimplementsolutionstophotographicchallengesandopportunities.Topicsincludecamerasandimageformation,imageprocessingandimagerepresentations,high-dynamic-rangeimaging,humanvisualperceptionandcolor,singleview3-Dmodelreconstruction,morphing,data-richphotography,super-resolution,andimage-basedrendering.Studentstakinggraduateversioncompleteadditionalassignments. F.P.Durand 6.816MulticoreProgramming Subjectmeetswith6.836Prereq:6.006AcadYear2021-2022:Notoffered AcadYear2022-2023:U(Fall)4-0-8units Introducesprinciplesandcoretechniquesforprogrammingmulticoremachines.Topicsincludelocking,scalability,concurrentdatastructures,multiprocessorscheduling,loadbalancing,andstate-of-the-artsynchronizationtechniques,suchastransactionalmemory.Includessequenceofprogrammingassignmentsonalargemulticoremachine,culminatingwiththedesignofahighlyconcurrentapplication.Studentstakinggraduateversioncompleteadditionalassignments. N.Shavit 6.817[J]PrinciplesofAutonomyandDecisionMaking Samesubjectas16.410[J] Subjectmeetswith6.877[J],16.413[J]Prereq:6.0002or6.01U(Fall)4-0-8units Seedescriptionundersubject16.410[J]. H.E.Shrobe 6.818DynamicComputerLanguageEngineering Prereq:6.004or6.031U(Fall)4-4-4units Studiesthedesignandimplementationofmodern,dynamicprogramminglanguages.Topicsincludefundamentalapproachesforparsing,semanticsandinterpretation,virtualmachines,garbagecollection,just-in-timemachinecodegeneration,andoptimization.Includesasemester-long,groupprojectthatdeliversavirtualmachinethatspansallofthesetopics. M.Carbin 6.819AdvancesinComputerVision Subjectmeetswith6.869Prereq:18.06and(6.041Bor6.042[J])U(Spring)3-0-9units Advancedtopicsincomputervisionwithafocusontheuseofmachinelearningtechniquesandapplicationsingraphicsandhuman-computerinterface.Coversimagerepresentations,texturemodels,structure-from-motionalgorithms,Bayesiantechniques,objectandscenerecognition,tracking,shapemodeling,andimagedatabases.Applicationsmayincludefacerecognition,multimodalinteraction,interactivesystems,cinematicspecialeffects,andphotorealisticrendering.Coverstopicscomplementaryto6.801.Studentstakinggraduateversioncompleteadditionalassignments. W.T.Freeman,P.Isola, A.Torralba 6.820FoundationsofProgramAnalysis Prereq:6.035AcadYear2021-2022:G(Fall) AcadYear2022-2023:Notoffered3-0-9units Presentsmajorprinciplesandtechniquesforprogramanalysis.Includesformalsemantics,typesystemsandtype-basedprogramanalysis,abstractinterpretationandmodelcheckingandsynthesis.EmphasisonHaskellandOcaml,butnopriorexperienceintheselanguagesisassumed.Studentassignmentsincludeimplementingoftechniquescoveredinclass,includingbuildingsimpleverifiers. A.Solar-Lezama 6.822FormalReasoningAboutPrograms Prereq:6.031and6.042[J]G(Spring)3-0-9units Surveystechniquesforrigorousmathematicalreasoningaboutcorrectnessofsoftware,emphasizingcommonalitiesacrossapproaches.IntroducesinteractivecomputertheoremprovingwiththeCoqproofassistant,whichisusedforallassignments,providingimmediatefeedbackonsoundnessoflogicalarguments.Coverscommonprogram-prooftechniques,includingoperationalsemantics,modelchecking,abstractinterpretation,typesystems,programlogics,andtheirapplicationstofunctional,imperative,andconcurrentprograms.Developsacommonconceptualframeworkbasedoninvariants,abstraction,andmodularityappliedtostateandlabeledtransitionsystems. A.Chlipala 6.823ComputerSystemArchitecture Prereq:6.004G(Fall)4-0-8units Introductiontotheprinciplesunderlyingmoderncomputerarchitecture.Emphasizestherelationshipamongtechnology,hardwareorganization,andprogrammingsystemsintheevolutionofcomputerarchitecture.Topicsincludepipelined,out-of-order,andspeculativeexecution;caches,virtualmemoryandexceptionhandling,superscalar,verylonginstructionword(VLIW),vector,andmultithreadedprocessors;on-chipnetworks,memorymodels,synchronization,andcachecoherenceprotocolsformultiprocessors. J.S.Emer,D.Sanchez 6.824DistributedComputerSystemsEngineering Prereq:6.033andpermissionofinstructorG(Spring)3-0-9units Abstractionsandimplementationtechniquesforengineeringdistributedsystems:remoteprocedurecall,threadsandlocking,client/server,peer-to-peer,consistency,faulttolerance,andsecurity.Readingsfromcurrentliterature.Individuallaboratoryassignmentsculminateintheconstructionofafault-tolerantandscalablenetworkfilesystem.ProgrammingexperiencewithC/C++required.Enrollmentlimited. R.T.Morris,M.F.Kaashoek 6.825HardwareArchitectureforDeepLearning Subjectmeetswith6.812Prereq:6.003or6.004G(Spring)3-3-6units IntroductiontothedesignandimplementationofhardwarearchitecturesforefficientprocessingofdeeplearningalgorithmsinAIsystems.Topicsincludebasicsofdeeplearning,programmableplatforms,accelerators,co-optimizationofalgorithmsandhardware,training,supportforcomplexnetworks,andapplicationsofadvancedtechnologies.Includeslabsinvolvingmodelingandanalysisofhardwarearchitectures,buildingsystemsusingpopulardeeplearningtoolsandplatforms(CPU,GPU,FPGA),andanopen-endeddesignproject.Studentstakinggraduateversioncompleteadditionalassignments. V.Sze,J.Emer 6.826PrinciplesofComputerSystems Prereq:PermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9units Introductiontothebasicprinciplesofcomputersystemswithemphasisontheuseofrigoroustechniquesasanaidtounderstandingandbuildingmoderncomputingsystems.Particularattentionpaidtoconcurrentanddistributedsystems.Topicsinclude:specificationandverification,concurrentalgorithms,synchronization,naming,Networking,replicationtechniques(includingdistributedcachemanagement),andprinciplesandalgorithmsforachievingreliability. M.F.Kaashoek,B.Lampson,N.B.Zeldovich 6.827AlgorithmEngineering(New) Prereq:6.046[J]and6.172G(Spring)3-0-9units Coversthetheoryandpracticeofalgorithmsanddatastructures.Topicsincludemodelsofcomputation,algorithmdesignandanalysis,andperformanceengineeringofalgorithmimplementations.Presentsthedesignandimplementationofsequential,parallel,cache-efficient,andexternal-memoryalgorithms.Illustratesmanyoftheprinciplesofalgorithmengineeringinthecontextofparallelalgorithmsandgraphproblems. J.Shun 6.828OperatingSystemEngineering Prereq:6.031and6.033AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-6-3units Fundamentaldesignandimplementationissuesintheengineeringofoperatingsystems.LecturesbasedonthestudyofasymmetricmultiprocessorversionofUNIXversion6andresearchpapers.Topicsincludevirtualmemory;filesystem;threads;contextswitches;kernels;interrupts;systemcalls;interprocesscommunication;coordination,andinteractionbetweensoftwareandhardware.Individuallaboratoryassignmentsaccumulateintheconstructionofaminimaloperatingsystem(foranx86-basedpersonalcomputer)thatimplementsthebasicoperatingsystemabstractionsandashell.KnowledgeofprogrammingintheClanguageisaprerequisite. M.F.Kaashoek 6.829ComputerNetworks Prereq:6.033orpermissionofinstructorG(Fall)4-0-8units Topicsontheengineeringandanalysisofnetworkprotocolsandarchitecture,includingarchitecturalprinciplesfordesigningheterogeneousnetworks;transportprotocols;Internetrouting;routerdesign;congestioncontrolandnetworkresourcemanagement;wirelessnetworks;networksecurity;naming;overlayandpeer-to-peernetworks.Readingsfromoriginalresearchpapers.Semester-longprojectandpaper. H.Balakrishnan,D.Katabi 6.830DatabaseSystems Subjectmeetswith6.814Prereq:(6.033and(6.006or6.046[J]))orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9units Topicsrelatedtotheengineeringanddesignofdatabasesystems,includingdatamodels;databaseandschemadesign;schemanormalizationandintegrityconstraints;queryprocessing;queryoptimizationandcostestimation;transactions;recovery;concurrencycontrol;isolationandconsistency;distributed,parallelandheterogeneousdatabases;adaptivedatabases;triggersystems;pub-subsystems;semistructureddataandXMLquerying.Lectureandreadingsfromoriginalresearchpapers.Semester-longprojectandpaper.Studentstakinggraduateversioncompletedifferentassignments.Enrollmentmaybelimited. S.R.Madden 6.832UnderactuatedRobotics Prereq:18.03and18.06G(Spring)3-0-9units Coversnonlineardynamicsandcontrolofunderactuatedmechanicalsystems,withanemphasisoncomputationalmethods.Topicsincludethenonlineardynamicsofroboticmanipulators,appliedoptimalandrobustcontrolandmotionplanning.Discussionsincludeexamplesfrombiologyandapplicationstoleggedlocomotion,compliantmanipulation,underwaterrobots,andflyingmachines. R.Tedrake 6.833TheHumanIntelligenceEnterprise Subjectmeetswith6.803Prereq:6.034G(Spring) Notofferedregularly;consultdepartment3-0-9units Analyzesseminalworkdirectedatthedevelopmentofacomputationalunderstandingofhumanintelligence,suchasworkonlearning,language,vision,eventrepresentation,commonsensereasoning,selfreflection,storyunderstanding,andanalogy.ReviewsvisionaryideasofTuring,Minsky,andotherinfluentialthinkers.Examinestheimplicationsofworkonbrainscanning,developmentalpsychology,andcognitivepsychology.Emphasisondiscussionandanalysisoforiginalpapers.Requiresthecompletionofadditionalexercisesandasubstantialtermproject.Enrollmentlimited. P.H.Winston 6.834[J]CognitiveRobotics Samesubjectas16.412[J]Prereq:(6.034or16.413[J])and(6.042[J],16.09,or6.041)G(Spring)3-0-9units Seedescriptionundersubject16.412[J].Enrollmentmaybelimited. B.C.Williams 6.835IntelligentMultimodalUserInterfaces Prereq:6.031,6.034,orpermissionofinstructorG(Spring)3-0-9units Implementationandevaluationofintelligentmulti-modaluserinterfaces,taughtfromacombinationofhands-onexercisesandpapersfromtheoriginalliterature.Topicsincludebasictechnologiesforhandlingspeech,vision,pen-basedinteraction,andothermodalities,aswellasvarioustechniquesforcombiningmodalities.Substantialreadingsandatermproject,wherestudentsbuildaprogramthatillustratesoneormoreofthethemesofthecourse. R.Davis 6.836MulticoreProgramming Subjectmeetswith6.816Prereq:6.006AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)4-0-8units Introducesprinciplesandcoretechniquesforprogrammingmulticoremachines.Topicsincludelocking,scalability,concurrentdatastructures,multiprocessorscheduling,loadbalancing,andstate-of-the-artsynchronizationtechniques,suchastransactionalmemory.Includessequenceofprogrammingassignmentsonalargemulticoremachine,culminatingwiththedesignofahighlyconcurrentapplication.Studentstakinggraduateversioncompleteadditionalassignments. N.Shavit 6.837ComputerGraphics Prereq:(CalculusII(GIR)and6.031)orpermissionofinstructorU(Fall)3-0-9units Introductiontocomputergraphicsalgorithms,softwareandhardware.Topicsincluderaytracing,thegraphicspipeline,transformations,texturemapping,shadows,sampling,globalillumination,splines,animationandcolor. F.P.Durand,W.Matusik,J.Solomon 6.838ShapeAnalysis Prereq:CalculusII(GIR),18.06,and(6.837or6.869)AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Introducesmathematical,algorithmic,andstatisticaltoolsneededtoanalyzegeometricdataandtoapplygeometrictechniquestodataanalysis,withapplicationstofieldssuchascomputergraphics,machinelearning,computervision,medicalimaging,andarchitecture.Potentialtopicsincludeappliedintroductiontodifferentialgeometry,discretenotionsofcurvature,metricembedding,geometricPDEviathefiniteelementmethod(FEM)anddiscreteexteriorcalculus(DEC),;computationalspectralgeometryandrelationshiptograph-basedlearning,correspondenceandmapping,levelsetmethod,descriptor,shapecollections,optimaltransport,andvectorfielddesign. J.Solomon 6.839AdvancedComputerGraphics Prereq:6.031,6.837,18.06,orpermissionofinstructorG(Fall)3-0-9units Agraduatelevelcourseinvestigatescomputationalproblemsinrendering,animation,andgeometricmodeling.Thecoursedrawsonadvancedtechniquesfromcomputationalgeometry,appliedmathematics,statistics,scientificcomputingandother.Substantialprogrammingexperiencerequired. W.Matusik 6.840[J]TheoryofComputation Samesubjectas18.4041[J] Subjectmeetswith18.404Prereq:6.042[J]or18.200G(Fall)4-0-8units Seedescriptionundersubject18.4041[J]. M.Sipser 6.841[J]AdvancedComplexityTheory Samesubjectas18.405[J]Prereq:18.404AcadYear2021-2022:G(Spring) AcadYear2022-2023:Notoffered3-0-9units Seedescriptionundersubject18.405[J]. R.Williams 6.842RandomnessandComputation Prereq:6.046[J]and18.4041[J]AcadYear2021-2022:G(Spring) AcadYear2022-2023:Notoffered3-0-9units Thepowerandsourcesofrandomnessincomputation.Connectionsandapplicationstocomputationalcomplexity,computationallearningtheory,cryptographyandcombinatorics.Topicsinclude:probabilisticproofs,uniformgenerationandapproximatecounting,FourieranalysisofBooleanfunctions,computationallearningtheory,expandergraphs,pseudorandomgenerators,derandomization. R.Rubinfeld 6.843RoboticManipulation(New) Subjectmeetswith6.800Prereq:(6.0001and6.036)orpermissionofinstructorG(Fall)3-2-7units Introducesthefundamentalalgorithmicapproachesforcreatingrobotsystemsthatcanautonomouslymanipulatephysicalobjectsinopen-worldenvironmentssuchashomesandwarehouses.Topicsincludegeometricandsemanticperception,trajectoryandtask-levelplanning,learning,kinematics,dynamics,andcontrol.Studentstakinggraduateversioncompleteadditionalassignments. T.P.Lozano-Perez,R.Tedrake 6.844ArtificialIntelligence Subjectmeetswith6.034Prereq:6.0001G(Fall)4-3-5units Introducesrepresentations,methods,andarchitecturesusedtobuildapplicationsandtoaccountforhumanintelligencefromacomputationalpointofview.Coversapplicationsofrulechaining,constraintpropagation,constrainedsearch,inheritance,statisticalinference,andotherproblem-solvingparadigms.Alsoaddressesapplicationsofidentificationtrees,neuralnets,geneticalgorithms,support-vectormachines,boosting,andotherlearningparadigms.Considerswhatseparateshumanintelligencefromthatofotheranimals.Studentstaking graduateversioncompleteadditionalassignments. K.Koile 6.845QuantumComplexityTheory Prereq:6.045[J],18.4041[J],and18.435[J]G(Spring)3-0-9units Introductiontoquantumcomputationalcomplexitytheory,thestudyofthefundamentalcapabilitiesandlimitationsofquantumcomputers.Topicsincludecomplexityclasses,lowerbounds,communicationcomplexity,proofsandadvice,andinteractiveproofsystemsinthequantumworld;classicalsimulationofquantumcircuits.Theobjectiveistobringstudentstotheresearchfrontier. Staff 6.846ParallelComputing Prereq:6.004orpermissionofinstructorG(Spring) Notofferedregularly;consultdepartment3-0-9units Introductiontoparallelandmulticorecomputerarchitectureandprogramming.Topicsincludethedesignandimplementationofmulticoreprocessors;networking,video,continuum,particleandgraphapplicationsformulticores;communicationandsynchronizationalgorithmsandmechanisms;localityinparallelcomputations;computationalmodels,includingsharedmemory,streams,messagepassing,anddataparallel;multicoremechanismsforsynchronization,cachecoherence,andmultithreading.Performanceevaluationofmulticores;compilationandruntimesystemsforparallelcomputing.Substantialprojectrequired. A.Agarwal 6.849GeometricFoldingAlgorithms:Linkages,Origami,Polyhedra Prereq:6.046[J]orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9units Coversdiscretegeometryandalgorithmsunderlyingthereconfigurationoffoldablestructures,withapplicationstorobotics,manufacturing,andbiology.Linkagesmadefromone-dimensionalrodsconnectedbyhinges:constructingpolynomialcurves,characterizingrigidity,characterizingunfoldableversuslocked,proteinfolding.Foldingtwo-dimensionalpaper(origami):characterizingflatfoldability,algorithmicorigamidesign,one-cutmagictrick.Unfoldingandfoldingthree-dimensionalpolyhedra:edgeunfolding,vertexunfolding,gluings,Alexandrov'sTheorem,hingeddissections. E.D.Demaine 6.850GeometricComputing Prereq:6.046[J]G(Spring)3-0-9units Introductiontothedesignandanalysisofalgorithmsforgeometricproblems,inlow-andhigh-dimensionalspaces.Algorithms:convexhulls,polygontriangulation,Delaunaytriangulation,motionplanning,patternmatching.Geometricdatastructures:pointlocation,Voronoidiagrams,BinarySpacePartitions.Geometricproblemsinhigherdimensions:linearprogramming,closestpairproblems.High-dimensionalnearestneighborsearchandlow-distortionembeddingsbetweenmetricspaces.Geometricalgorithmsformassivedatasets:externalmemoryandstreamingalgorithms.Geometricoptimization. P.Indyk 6.851AdvancedDataStructures Prereq:6.046[J]AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Moreadvancedandpowerfuldatastructuresforansweringseveralqueriesonthesamedata.Suchstructuresarecrucialinparticularfordesigningefficientalgorithms.Dictionaries;hashing;searchtrees.Self-adjustingdatastructures;linearsearch;splaytrees;dynamicoptimality.Integerdatastructures;wordRAM.Predecessorproblem;vanEmdeBoaspriorityqueues;y-fasttrees;fusiontrees.Lowerbounds;cell-probemodel;roundelimination.Dynamicgraphs;link-cuttrees;dynamicconnectivity.Strings;textindexing;suffixarrays;suffixtrees.Staticdatastructures;compactarrays;rankandselect.Succinctdatastructures;treeencodings;implicitdatastructures.External-memoryandcache-obliviousdatastructures;B-trees;buffertrees;treelayout;ordered-filemaintenance.Temporaldatastructures;persistence;retroactivity. E.D.Demaine 6.852[J]DistributedAlgorithms Samesubjectas18.437[J]Prereq:6.046[J]AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9units Designandanalysisofconcurrentalgorithms,emphasizingthosesuitableforuseindistributednetworks.Processsynchronization,allocationofcomputationalresources,distributedconsensus,distributedgraphalgorithms,electionofaleaderinanetwork,distributedtermination,deadlockdetection,concurrencycontrol,communication,andclocksynchronization.Specialconsiderationgiventoissuesofefficiencyandfaulttolerance.Formalmodelsandproofmethodsfordistributedcomputation. N.A.Lynch 6.853TopicsinAlgorithmicGameTheory Prereq:6.006or6.046[J]AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Presentsresearchtopicsattheinterfaceofcomputerscienceandgametheory,withanemphasisonalgorithmsandcomputationalcomplexity.Exploresthetypesofgame-theoretictoolsthatareapplicabletocomputersystems,thelossinsystemperformanceduetotheconflictsofinterestofusersandadministrators,andthedesignofsystemswhoseperformanceisrobustwithrespecttoconflictsofinterestinsidethesystem.Algorithmicfocusisonalgorithmsforequilibria,thecomplexityofequilibriaandfixedpoints,algorithmictoolsinmechanismdesign,learningingames,andthepriceofanarchy. K.Daskalakis 6.854[J]AdvancedAlgorithms Samesubjectas18.415[J]Prereq:6.046[J]and(6.042[J],18.600,or6.041)G(Fall)5-0-7units First-yeargraduatesubjectinalgorithms.Emphasizesfundamentalalgorithmsandadvancedmethodsofalgorithmicdesign,analysis,andimplementation.Surveysavarietyofcomputationalmodelsandthealgorithmsforthem.Datastructures,networkflows,linearprogramming,computationalgeometry,approximationalgorithms,onlinealgorithms,parallelalgorithms,externalmemory,streamingalgorithms. A.Moitra,D.R.Karger 6.855SublinearTimeAlgorithms Prereq:6.046[J]orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Sublineartimealgorithmsunderstandparametersandpropertiesofinputdataafterviewingonlyaminusculefractionofit.Toolsfromnumbertheory,combinatorics,linearalgebra,optimizationtheory,distributedalgorithms,statistics,andprobabilityarecovered.Topicsinclude:testingandestimatingpropertiesofdistributions,functions,graphs,strings,pointsets,andvariouscombinatorialobjects. R.Rubinfeld 6.856[J]RandomizedAlgorithms Samesubjectas18.416[J]Prereq:(6.041or6.042[J])and(6.046[J]or6.854[J])AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)5-0-7units Studieshowrandomizationcanbeusedtomakealgorithmssimplerandmoreefficientviarandomsampling,randomselectionofwitnesses,symmetrybreaking,andMarkovchains.Modelsofrandomizedcomputation.Datastructures:hashtables,andskiplists.Graphalgorithms:minimumspanningtrees,shortestpaths,andminimumcuts.Geometricalgorithms:convexhulls,linearprogramminginfixedorarbitrarydimension.Approximatecounting;parallelalgorithms;onlinealgorithms;derandomizationtechniques;andtoolsforprobabilisticanalysisofalgorithms. D.R.Karger 6.857AppliedCryptographyandSecurity Prereq:6.033and6.042[J]G(Spring)4-0-8units Emphasisonappliedcryptographyandmayinclude:basicnotionofsystemssecurity,cryptographichashfunctions,symmetriccryptography(one-timepad,streamciphers,blockciphers),cryptanalysis,secret-sharing,authenticationcodes,public-keycryptography(encryption,digitalsignatures),public-keyattacks,ellipticcurvecryptography;pairingfunctions,fullyhomomorphicencryption,differentialprivacy, bitcoin,viruses,electronicvoting,Assignmentsincludeagroupfinalproject.Topicsmayvaryyeartoyear. R.L.Rivest,Y.Kalai 6.858ComputerSystemsSecurity Prereq:6.031and6.033G(Spring)3-6-3units Designandimplementationofsecurecomputersystems.Lecturescoverattacksthatcompromisesecurityaswellastechniquesforachievingsecurity,basedonrecentresearchpapers.Topicsincludeoperatingsystemsecurity,privilegeseparation,capabilities,language-basedsecurity,cryptographicnetworkprotocols,trustedhardware,andsecurityinwebapplicationsandmobilephones.Labsinvolveimplementingandcompromisingawebapplicationthatsandboxesarbitrarycode,andagroupfinalproject. N.B.Zeldovich 6.859InteractiveDataVisualization Prereq:6.031AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Interactivevisualizationprovidesameansofmakingsenseofaworldawashindata.Coversthetechniquesandalgorithmsforcreatingeffectivevisualizations,usingprinciplesfromgraphicdesign,perceptualpsychology,andcognitivescience.Shortassignmentsbuildfamiliaritywiththedataanalysisandvisualizationdesignprocess,andafinalprojectprovidesexperiencedesigning,implementing,anddeployinganexplanatorynarrativevisualizationorvisualanalysistooltoaddressaconcretechallenge. A.Satyanarayan 6.860[J]StatisticalLearningTheoryandApplications Samesubjectas9.520[J]Prereq:6.041,6.867,18.06,orpermissionofinstructorG(Fall)3-0-9units Seedescriptionundersubject9.520[J]. T.Poggio,L.Rosasco 6.861[J]AspectsofaComputationalTheoryofIntelligence Samesubjectas9.523[J]Prereq:PermissionofinstructorG(Fall) Notofferedregularly;consultdepartment3-0-9units Seedescriptionundersubject9.523[J]. T.Poggio,S.Ullman 6.862AppliedMachineLearning Prereq:PermissionofinstructorG(Fall) Notofferedregularly;consultdepartment4-0-8unitsCreditcannotalsobereceivedfor6.036 Introducesprinciples,algorithms,andapplicationsofmachinelearningfromthepointofviewofmodelingandprediction;formulationoflearningproblems;representation,over-fitting,generalization; classification,regression,reinforcementlearning;andmethodssuchaslinearclassifiers,feed-forward,convolutional,andrecurrentnetworks.Studentstakinggraduateversioncompletedifferentassignments.Meetswith6.036whenofferedconcurrently. Recommendedprerequisites:18.06and6.006.Enrollmentlimited;nolisteners. S.Jegelka 6.863[J]NaturalLanguageandtheComputerRepresentationofKnowledge Samesubjectas9.611[J]Prereq:6.034AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-3-6units Explorestherelationshipbetweenthecomputerrepresentationandacquisitionofknowledgeandthestructureofhumanlanguage,itsacquisition,andhypothesesaboutitsdifferentiatinguniqueness.Emphasizesdevelopmentofanalyticalskillsnecessarytojudgethecomputationalimplicationsofgrammaticalformalismsandtheirroleinconnectinghumanintelligencetocomputationalintelligence.Usesconcreteexamplestoillustrateparticularcomputationalissuesinthisarea. R.C.Berwick 6.864QuantitativeMethodsforNaturalLanguageProcessing Subjectmeetswith6.806Prereq:6.046[J]orpermissionofinstructorG(Fall)3-0-9units Introducesthestudyofhumanlanguagefromacomputationalperspective,includingsyntactic,semanticanddiscourseprocessingmodels.Emphasizesmachinelearningmethodsandalgorithms.Usesthesemethodsandmodelsinapplicationssuchassyntacticparsing,informationextraction,statisticalmachinetranslation,dialoguesystems.Studentstakinggraduateversioncompleteadditionalassignments. J.Andreas,J.Glass 6.865AdvancedComputationalPhotography Subjectmeetswith6.815Prereq:CalculusII(GIR)and6.031G(Fall)3-0-9units Presentsfundamentalsandapplicationsofhardwareandsoftwaretechniquesusedindigitalandcomputationalphotography,withanemphasisonsoftwaremethods.Providessufficientbackgroundtoimplementsolutionstophotographicchallengesandopportunities.Topicsincludecamerasandimageformation,imageprocessingandimagerepresentations,high-dynamic-rangeimaging,humanvisualperceptionandcolor,singleview3-Dmodelreconstruction,morphing,data-richphotography,super-resolution,andimage-basedrendering.Studentstakinggraduateversioncompleteadditionalassignments. F.P.Durand 6.866MachineVision Subjectmeetswith6.801Prereq:6.003orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9units Intensiveintroductiontotheprocessofgeneratingasymbolicdescriptionoftheenvironmentfromanimage.Studentsexpectedtoattendthe6.801lecturesaswellasoccasionalseminarmeetingsonspecialtopics.Materialpresentedin6.801issupplementedbyreadingfromtheliterature.Studentsrequiredtoimplementaprojectonatopicoftheirchoicefromthematerialcovered. B.K.P.Horn 6.867MachineLearning Prereq:18.06and(6.008,6.041,or18.600)G(Fall)3-0-9units Principles,techniques,andalgorithmsinmachinelearningfromthepointofviewofstatisticalinference;representation,generalization,andmodelselection;andmethodssuchaslinear/additivemodels,activelearning,boosting,supportvectormachines,non-parametricBayesianmethods,hiddenMarkovmodels,Bayesiannetworks,andconvolutionalandrecurrentneuralnetworks.Recommendedprerequisite:6.036orotherpreviousexperienceinmachinelearning.Enrollmentmaybelimited. C.Daskalakis,T.Jaakkola 6.869AdvancesinComputerVision Subjectmeetswith6.819Prereq:18.06and(6.041Bor6.042[J])G(Spring)3-0-9units Advancedtopicsincomputervisionwithafocusontheuseofmachinelearningtechniquesandapplicationsingraphicsandhuman-computerinterface.Coversimagerepresentations,texturemodels,structure-from-motionalgorithms,Bayesiantechniques,objectandscenerecognition,tracking,shapemodeling,andimagedatabases.Applicationsmayincludefacerecognition,multimodalinteraction,interactivesystems,cinematicspecialeffects,andphotorealisticrendering.Coverstopicscomplementaryto6.866.Studentstakinggraduateversioncompleteadditionalassignments. W.T.Freeman,P.Isola,A.Torralba 6.870AdvancedTopicsinComputerVision Prereq:6.801,6.869,orpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-0-9unitsCanberepeatedforcredit. Seminarexploringadvancedresearchtopicsinthefieldofcomputervision;focusvarieswithlecturer.Typicallystructuredarounddiscussionofassignedresearchpapersandpresentationsbystudents.Exampleresearchareasexploredinthisseminarincludelearninginvision,computationalimagingtechniques,multimodalhuman-computerinteraction,biomedicalimaging,representationandestimationmethodsusedinmoderncomputervision. W.T.Freeman,B.K.P.Horn,A.Torralba 6.871[J]MachineLearningforHealthcare SamesubjectasHST.956[J]Prereq:6.034,6.036,6.438,6.806,6.867,or9.520[J]G(Spring)4-0-8units Introducesstudentstomachinelearninginhealthcare,includingthenatureofclinicaldataandtheuseofmachinelearningforriskstratification,diseaseprogressionmodeling,precisionmedicine,diagnosis,subtypediscovery,andimprovingclinicalworkflows.Topicsincludecausality,interpretability,algorithmicfairness,time-seriesanalysis,graphicalmodels,deeplearningandtransferlearning.GuestlecturesbycliniciansfromtheBostonarea,andprojectswithrealclinicaldata,emphasizesubtletiesofworkingwithclinicaldataandtranslatingmachinelearningintoclinicalpractice.Limitedto55. D.Sontag,P.Szolovits 6.874[J]ComputationalSystemsBiology:DeepLearningintheLifeSciences SamesubjectasHST.506[J] Subjectmeetswith6.802[J],20.390[J],20.490Prereq:Biology(GIR)and(18.600or6.041)AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9units Presentsinnovativeapproachestocomputationalproblemsinthelifesciences,focusingondeeplearning-basedapproacheswithcomparisonstoconventionalmethods.Topicsincludeprotein-DNAinteraction,chromatinaccessibility,regulatoryvariantinterpretation,medicalimageunderstanding,medicalrecordunderstanding,therapeuticdesign,andexperimentdesign(thechoiceandinterpretationofinterventions).Focusesonmachinelearningmodelselection,robustness,andinterpretation.TeamscompleteamultidisciplinaryfinalresearchprojectusingTensorFloworotherframework.Providesacomprehensiveintroductiontoeachlifesciencesproblem,butreliesuponstudentsunderstandingprobabilisticproblemformulations.Studentstakinggraduateversioncompleteadditionalassignments. D.K.Gifford 6.875[J]CryptographyandCryptanalysis Samesubjectas18.425[J]Prereq:6.046[J]G(Fall)3-0-9units Arigorousintroductiontomoderncryptography.Emphasisonthefundamentalcryptographicprimitivesofpublic-keyencryption,digitalsignatures,pseudo-randomnumbergeneration,andbasicprotocolsandtheircomputationalcomplexityrequirements. S.Goldwasser,S.Micali,V.Vaikuntanathan 6.876AdvancedTopicsinCryptography Prereq:6.875[J]AcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)3-0-9unitsCanberepeatedforcredit. In-depthexplorationofrecentresultsincryptography. S.Goldwasser,S.Micali,V.Vaikuntanathan 6.877[J]PrinciplesofAutonomyandDecisionMaking Samesubjectas16.413[J] Subjectmeetswith6.817[J],16.410[J]Prereq:6.0002,6.01,orpermissionofinstructorG(Fall)3-0-9units Seedescriptionundersubject16.413[J]. B.C.Williams 6.878[J]AdvancedComputationalBiology:Genomes,Networks,Evolution SamesubjectasHST.507[J] Subjectmeetswith6.047Prereq:(Biology(GIR),6.006,and6.041)orpermissionofinstructorG(Fall)4-0-8units Seedescriptionfor6.047.Additionallyexaminesrecentpublicationsintheareascovered,withresearch-styleassignments.Amoresubstantialfinalprojectisexpected,whichcanleadtoathesisandpublication. M.Kellis 6.881AdvancedTopicsinArtificialIntelligence Prereq:PermissionofinstructorG(Fall)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinartificialintelligence.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.882AdvancedTopicsinArtificialIntelligence Prereq:PermissionofinstructorG(Spring)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinartificialintelligence.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.883AdvancedTopicsinArtificialIntelligence Prereq:PermissionofinstructorG(Spring)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinartificialintelligence.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.884AdvancedTopicsinArtificialIntelligence Prereq:PermissionofinstructorG(Spring)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsinartificialintelligence.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.885AdvancedTopicsinComputerSystems Prereq:PermissionofinstructorG(Spring)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsincomputersystems.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.886AdvancedTopicsinComputerSystems Prereq:PermissionofinstructorG(Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsincomputersystems.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.887AdvancedTopicsinComputerSystems Prereq:PermissionofinstructorG(Fall)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsincomputersystems.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.888AdvancedTopicsinComputerSystems Prereq:PermissionofinstructorG(Spring)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsincomputersystems.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.889AdvancedTopicsinTheoreticalComputerScience Prereq:PermissionofinstructorG(Fall) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsintheoreticalcomputerscience.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.890AdvancedTopicsinTheoreticalComputerScience Prereq:PermissionofinstructorG(Fall)3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsintheoreticalcomputerscience.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.891AdvancedTopicsinTheoreticalComputerScience Prereq:PermissionofinstructorG(Fall,Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsintheoreticalcomputerscience.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.892AdvancedTopicsinTheoreticalComputerScience Prereq:PermissionofinstructorG(Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsintheoreticalcomputerscience.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.893AdvancedTopicsinTheoreticalComputerScience Prereq:PermissionofinstructorG(Fall) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsintheoreticalcomputerscience.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.894AdvancedTopicsinGraphicsandHuman-ComputerInterfaces Prereq:PermissionofinstructorG(Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsingraphicsandhuman-computerinterfaces.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.895AdvancedTopicsinGraphicsandHuman-ComputerInterfaces Prereq:PermissionofinstructorG(Fall,Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsingraphicsandhuman-computerinterfaces.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.896AdvancedTopicsinGraphicsandHuman-ComputerInterfaces Prereq:PermissionofinstructorG(Fall,Spring) Notofferedregularly;consultdepartment3-0-9unitsCanberepeatedforcredit. Advancedstudyoftopicsingraphicsandhuman-computerinterfaces.Specificfocusvariesfromyeartoyear.Consultdepartmentfordetails. ConsultDepartment 6.897AdvancedTopicsinComputerGraphics Prereq:6.837G(Spring) Notofferedregularly;consultdepartment3-0-9units In-depthstudyofanactiveresearchtopicincomputergraphics.Topicschangeeachterm.Readingsfromtheliterature,studentpresentations,shortassignments,andaprogrammingproject. J.Solomon 6.901[J]EngineeringInnovation:MovingIdeastoImpact Samesubjectas15.359[J]Prereq:NoneU(Fall)3-3-6units Seedescriptionundersubject15.359[J]. V.Bulovic,F.Murray 6.9021[J]IntroductiontoDesignThinkingandInnovationinEngineering Samesubjectas2.7231[J],16.6621[J]Prereq:NoneU(Fall,Spring;firsthalfofterm)2-0-1units Introducesstudentstoconceptsofdesignthinkingandinnovationthatcanbeappliedtoanyengineeringdiscipline.Focusesonintroducinganiterativedesignprocess,asystems-thinkingapproachforstakeholderanalysis,methodsforarticulatingdesignconcepts,methodsforconceptselection,andtechniquesfortestingwithusers.Providesanopportunityforfirst-yearstudentstoexploreproductorsystemdesignanddevelopment,andtobuildtheirunderstandingofwhatitmeanstoleadandcoordinateprojectsinengineeringdesign.Subjectcancounttowardthe6-unitdiscovery-focusedcreditlimitforfirst-yearstudents.Enrollmentlimitedto25;prioritytofirst-yearstudents. B.Kotelly 6.902ADesignThinkingandInnovationLeadershipforEngineers(6.902) EngineeringSchool-WideElectiveSubject. Offeredunder:2.723A,6.902A,16.662APrereq:NoneU(Fall,Spring;firsthalfofterm)2-0-1units Introductorysubjectindesign thinkingandinnovation.Developsstudents'abilitytoconceive,implement,andevaluatesuccessfulprojectsinanyengineeringdiscipline.Lessonsfocusonaniterative designprocess,asystems-thinkingapproachforstakeholderanalysis,methodsforarticulating designconcepts,methodsforconceptselection,andtechniquesfortestingwithusers. B.Kotelly 6.902BDesignThinkingandInnovationProject(New) EngineeringSchool-WideElectiveSubject. Offeredunder:2.723B,6.902B,16.662BPrereq:6.902AU(Fall,Spring;secondhalfofterm)2-0-1units Project-basedsubject.Studentsemploydesign-thinkingtechniqueslearnedin6.902Atodeveloparobust speech-recognition applicationusingaweb-basedplatform. Studentspracticeinleadershipandteamwork skillsastheycollaboratively conceive,implement,anditerativelyrefinetheirdesigns basedonuserfeedback. Topicscoveredincludetechniquesforleadingthe creativeprocessinteams,the ethicsofengineering systems,methodsforarticulatingdesignswithgroupcollaboration,identifyingandreconcilingparadoxesofengineeringdesigns,andcommunicatingsolutionconceptswithimpact.Studentspresentoralpresentationsandreceivefeedbacktosharpentheircommunicationskills. B.Kotelly 6.903Patents,Copyrights,andtheLawofIntellectualProperty Prereq:NoneAcadYear2021-2022:Notoffered AcadYear2022-2023:U(Fall)2-0-4units Intensiveintroductiontothelaw,focusingonintellectualproperty,patents,copyrights,trademarks,andtradesecrets.Coverstheprocessofdraftingandfilingpatentapplications,enforcementofpatentsinthecourts, thedifferencesbetweenUSandinternationalIPlawsandenforcementmechanisms,andtheinventor'sabilitytomonetizeandprotecthis/herinnovations.Highlightscurrentlegalissuesandtrendsrelatingto thetechnology, andlifesciencesindustries.Readingsincludejudicialopinionsandstatutorymaterial.Class projectsincludepatentdrafting,patentsearching,and patentabilityopinions,andcourtroompresentation. S.M.Bauer 6.904EthicsforEngineers EngineeringSchool-WideElectiveSubject. Offeredunder:1.082,2.900,6.904,10.01,16.676,22.014 Subjectmeetswith6.9041,20.005Prereq:NoneU(Fall,Spring)2-0-4units Seedescriptionundersubject10.01. D.A.Lauffenberger,B.L.Trout 6.9041EthicsforEngineers-IndependentInquiry Subjectmeetswith1.082[J],2.900[J],6.904[J],10.01[J],16.676[J],20.005,22.014[J]Prereq:NoneU(Fall,Spring)2-0-10units Explorestheethicalprinciplesbywhichanengineeroughttobeguided.Integratesfoundationaltextsinethicswithcasestudiesillustratingethicalproblemsarisinginthepracticeofengineering.ReadingsfromclassicsourcesincludingAristotle,Kant,Machiavelli,Hobbes,Locke,Rousseau,Franklin,Tocqueville,Arendt,andKing.Casestudiesincludearticlesandfilmsthataddressengineeringdisasters,safety,biotechnology,theinternetandAI,andtheultimatescopeandaimsofengineering. Differentsectionsmayfocusonthemes,suchasAIorbiotechnology.Tosatisfytheindependentinquirycomponentofthissubject,studentsexpandthescopeoftheirtermproject.Studentstaking20.005focustheirtermprojectonaprobleminbiologicalengineeringinwhichthereareintertwinedethicalandtechnicalissues. D.A.Lauffenburger,B.L.Trout 6.905Large-scaleSymbolicSystems Subjectmeetswith6.945Prereq:6.034orpermissionofinstructorU(Spring)3-0-9units Conceptsandtechniquesforthedesignandimplementationoflargesoftwaresystemsthatcanbeadaptedtousesnotanticipatedbythedesigner.Applicationsincludecompilers,computer-algebrasystems,deductivesystems,andsomeartificialintelligenceapplications.Coversmeansfordecouplinggoalsfromstrategy,mechanismsforimplementingadditivedata-directedinvocation,workwithpartially-specifiedentities,andhowtomanagemultipleviewpoints.Topicsincludecombinators,genericoperations,patternmatching,pattern-directedinvocation,rulesystems,backtracking,dependencies,indeterminacy,memoization,constraintpropagation,andincrementalrefinement.Studentstakinggraduateversioncompleteadditionalassignments. G.J.Sussman 6.906StartMIT:WorkshopforEntrepreneursandInnovators Subjectmeetswith6.936[J],15.352[J]Prereq:NoneU(IAP)4-0-2units Designedforstudentswhoareinterestedinentrepreneurshipandwanttoexplorethepotentialcommercializationoftheirresearchproject.Introducespracticesforbuildingasuccessfulcompany,suchasideacreationandvalidation,definingavalueproposition,buildingateam,marketing,customertraction,andpossiblefundingmodels.Studentstakinggraduateversioncompletedifferentassignments. A.Chandrakasan,C.Chase,B.Aulet 6.910IndependentStudyinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring,Summer)UnitsarrangedCanberepeatedforcredit. Opportunityforindependentstudyattheundergraduatelevelunderregularsupervisionbyafacultymember. Studyplans requirepriorapproval. ConsultDepartmentUndergraduateOffice 6.911EngineeringLeadershipLab EngineeringSchool-WideElectiveSubject. Offeredunder:6.911,16.650 Subjectmeetswith6.913[J],16.667[J]Prereq:None.Coreq:6.912;orpermissionofinstructorU(Fall,Spring)0-2-1unitsCanberepeatedforcredit. Developsleadership,teamworkandcommunicationskillsbyexposingstudentstoleadershipframeworks,models,andcaseswithinanengineeringcontextinaninteractive,practice-basedenvironment.Studentsaremembersofandleadteams,participateinguidedreflectionsonindividualandteamsuccesses,anddiscoveropportunitiesforimprovementincontrolledsettings.Experientiallearningincludesdesign-implementactivities,role-playsimulations,smallgroupdiscussions,andperformanceandpeerassessmentsbyandofotherstudents.Includesfrequentengineeringindustry-guestparticipation.Contentisfrequentlystudent-driven.FirstyearGordonEngineeringLeadershipProgram(GEL)studentsregisterfor6.911.SecondyearGELProgramstudentsregisterfor6.913.PreferencetostudentsenrolledintheBernardM.Gordon-MITEngineeringLeadershipProgram. L.McGonagle,J.Feiler 6.912EngineeringLeadership EngineeringSchool-WideElectiveSubject. Offeredunder:6.912,16.651Prereq:None.Coreq:6.911;orpermissionofinstructorU(Fall,Spring)1-0-2unitsCanberepeatedforcredit. Exposesstudentstothemodelsandmethodsofengineeringleadershipwithinthecontextsofconceiving,designing,implementingandoperatingproducts,processesandsystems.IntroducestheCapabilitiesofEffectiveEngineeringLeaders,andmodelsandtheoriesrelatedtothecapabilities.Discussestheappropriatetimesandreasonstouseparticularmodelstodeliverengineeringsuccess.Includesoccasionalguestspeakersorpaneldiscussions.Mayberepeatedforcreditoncewithpermissionofinstructor.Preferencetofirst-yearstudentsintheGordonEngineeringLeadershipProgram. J.Magarian 6.913EngineeringLeadershipLab EngineeringSchool-WideElectiveSubject. Offeredunder:6.913,16.667 Subjectmeetswith6.911[J],16.650[J]Prereq:6.902,6.911,6.912,orpermissionofinstructorU(Fall,Spring)0-2-4unitsCanberepeatedforcredit. Advancesstudents'leadership,teamworkandcommunicationskillsthroughfurtherexposuretoleadershipframeworks,models,andcaseswithinanengineeringcontextinaninteractive,practice-basedenvironment.Studentscoachothers,assessperformance,andleadguidedreflectionsonindividualandteamsuccesses,whilediscoveringopportunitiesforimprovement.Studentsassistwithprogrammaticplanningandimplementationofrole-playsimulations,smallgroupdiscussions,andperformanceandpeerassessmentsbyandofotherstudentsandbyinstructors.Includesfrequentengineeringindustry-guestparticipationandinvolvement.Contentisfrequentlystudent-led.SecondyearGordonEngineeringLeadershipProgram(GEL)Programstudentsregisterfor6.913.PreferencetostudentsenrolledinthesecondyearoftheGordon-MITEngineeringLeadershipProgram. L.McGonagle,J.Feiler 6.914ProjectEngineering EngineeringSchool-WideElectiveSubject. Offeredunder:6.914,16.669Prereq:(6.902and(6.911or6.912))orpermissionofinstructorU(IAP)4-0-0units Studentsattendandparticipateinafour-dayoff-siteworkshopcoveringanintroductiontobasicprinciples,methods,andtoolsforprojectmanagementinarealisticcontext.Inteams,studentscreateaplanforaprojectoftheirchoiceinoneofseveralareas,including:aircraftmodification,factoryautomation,floodpreventionengineering,solarfarmengineering,small-businessdigitaltransformation/modernization,anddisasterresponse,amongothers.Developsskillsapplicabletotheplanningandmanagementofcomplexengineeringprojects.Topicsincludecost-benefitanalysis,resourceandcostestimation,andprojectcontrolanddeliverywhicharepracticedduringanexperiential,team-basedactivity.Casestudieshighlightprojectsinbothhardware/softwareandconsumerpackagedgoods.PreferencetostudentsintheBernardM.Gordon-MITEngineeringLeadershipProgram. O.deWeck,J.Feiler,L.McGonagle,R.Rahaman 6.915[J]LeadingInnovationinTeams Samesubjectas16.671[J]Prereq:NoneAcadYear2021-2022:Notoffered AcadYear2022-2023:U(Spring)3-0-6units Empowersfutureinnovatorsinengineeringandtechnologywithafoundationofleadershipandteamworkskills.Groundedinresearchbutpracticalinfocus,equipsstudentswithleadershipcompetenciessuchasbuildingself-awareness,motivatinganddevelopingothers,influencingwithoutauthority,managingconflict,andcommunicatingeffectively.Teamworkskillsincludehowtoconvene,launch,anddevelopvarioustypesofteams,includingprojectteams.Reviewsrecentadvancesinimplementinginnovationsandbuildingpersonalcapacityforlifelonglearningasaleadinginnovator.Enrollmentlimitedtoseatingcapacityofclassroom.Admittancemaybecontrolledbylottery. D.Nino,J.Schindall 6.920PracticalInternshipExperience Prereq:NoneU(Fall,IAP,Spring,Summer)0-1-0unitsCanberepeatedforcredit. ForCourse6studentsparticipatingincurriculum-relatedoff-campusinternshipexperiencesinelectricalengineeringorcomputerscience.Beforeenrolling,studentsmusthaveanemploymentofferfromacompanyororganizationandmustfindanEECSsupervisor.Uponcompletionoftheinternshipthestudentmustsubmitaletterfromtheemployerevaluatingtheworkaccomplished,asubstantivefinalreportfromthestudent,approvedbytheMITsupervisor.Subjecttodepartmentalapproval.ConsultDepartmentUndergraduateOfficefordetailsonproceduresandrestrictions. ConsultDepartmentUndergraduateOffice 6.9216-AInternship Prereq:NoneU(Fall,Spring,Summer)0-12-0units Providesacademiccreditforthefirstassignmentof6-Aundergraduatestudentsatcompaniesaffiliatedwiththedepartment's6-Ainternshipprogram.Limitedtostudentsparticipatinginthe6-Ainternshipprogram. T.Palacios 6.922Advanced6-AInternship Prereq:6.921U(Fall,Spring,Summer)0-12-0units Providesacademiccreditforthesecondassignmentof6-Aundergraduatestudentsatcompaniesaffiliatedwiththedepartment's6-Ainternshipprogram.Limitedtostudentsparticipatinginthe6-Ainternshipprogram. T.Palacios 6.927NegotiationandInfluenceSkillsforTechnicalLeaders(New) Prereq:NoneG(Fall)2-0-4units Focuses aroundthepremisethattheabilitiestonegotiatewith,andinfluenceothers,areessentialtobeinganeffectiveleaderintechnologyrichenvironments.Providesgraduatestudentswithunderlyingprinciplesandarepertoireofnegotiationandinfluenceskillsthatapplytointerpersonalsituations,particularlythosewhereanengineerorprojectleaderlacksformalauthorityoverothersindeliveringresults.Utilizesresearch-basedapproachesthroughtheapplicationofmultiplelearningmethods,includingexperientialroleplays,casestudies,assessments,feedback,andpersonalreflections.Conceptssuchasthezoneofpossibleagreements,bestalternativetonegotiatedagreements,andsourcesofinfluenceareputintopractice.SatisfiestherequirementsfortheGraduateCertificateinTechnicalLeadership. D.Nino 6.928[J]LeadingCreativeTeams Samesubjectas15.674[J],16.990[J]Prereq:PermissionofinstructorG(Fall,Spring)3-0-6units Preparesstudentstoleadteamschargedwithdevelopingcreativesolutionsinengineeringandtechnicalenvironments.Groundedinresearchbutpracticalinfocus,equipsstudentswithleadershipcompetenciessuchasbuildingself-awareness,motivatinganddevelopingothers,creativeproblemsolving,influencingwithoutauthority,managingconflict,andcommunicatingeffectively.Teamworkskillsincludehowtoconvene,launch,anddevelopvarioustypesofteams,includingprojectteams.Learningmethodsemphasizepersonalizedandexperientialskilldevelopment.Enrollmentlimited. D.Nino 6.929[J]EnergyTechnologyandPolicy:FromPrinciplestoPractice Samesubjectas5.00[J],10.579[J],22.813[J]Prereq:NoneG(Fall;firsthalfofterm) Notofferedregularly;consultdepartment3-0-6units Developsanalyticalskillstoleadasuccessfultechnologyimplementationwithanintegratedapproachthatcombinestechnical,economicalandsocialperspectives.Considerscorporateandgovernmentviewpointsaswellasinternationalaspects,suchasnuclearweaponsproliferationandglobalclimateissues.Discussestechnologiessuchasoilandgas,nuclear,solar,andenergyefficiency.Limitedto100. J.Deutch 6.930ManagementinEngineering EngineeringSchool-WideElectiveSubject. Offeredunder:2.96,6.930,10.806,16.653Prereq:NoneU(Fall)3-1-8units Seedescriptionundersubject2.96.Restrictedtojuniorsandseniors. H.S.Marcus,J.-H.Chun 6.934[J]Engineering,EconomicsandRegulationforEnergyAccessinDevelopingCountries Samesubjectas15.017[J]Prereq:NoneG(Spring) Notofferedregularly;consultdepartment3-0-9units Seedescriptionundersubject15.017[J]. I.Perez-Arriaga,R.Stoner 6.935[J]FinancialMarketDynamicsandHumanBehavior Samesubjectas15.481[J]Prereq:15.401,15.414,or15.415G(Spring)4-0-5units Seedescriptionundersubject15.481[J]. A.Lo 6.936[J]StartMIT:WorkshopforEntrepreneursandInnovators Samesubjectas15.352[J] Subjectmeetswith6.906Prereq:NoneG(IAP)4-0-2units Designedforstudentswhoareinterestedinentrepreneurshipandwanttoexplorethepotentialcommercializationoftheirresearchproject.Introducespracticesforbuildingasuccessfulcompany,suchasideacreationandvalidation,definingavalueproposition,buildingateam,marketing,customertraction,andpossiblefundingmodels.Studentstakinggraduateversioncompletedifferentassignments. B.Aulet, A.Chandrakasan,C.Chase 6.941StatisticsforResearchProjects:StatisticalModelingandExperimentDesign Prereq:NoneG(IAP) Notofferedregularly;consultdepartment2-2-2units Practicalintroductiontodataanalysis,statisticalmodeling,andexperimentaldesign,intendedtoprovideessentialskillsforconductingresearch.Coversbasictechniquessuchashypothesis-testingandregressionmodelsforbothtraditionalexperimentsandnewerparadignmssuchasevaluatingsimulations.Assignmentsreinforcetechniquesthroughanalyzingsampledatasetsandreadingcasestudies.Studentswithresearchprojectswillbeencouragedtosharetheirexperiencesandproject-specificquestions. Staff 6.943[J]HowtoMake(Almost)Anything Samesubjectas4.140[J],MAS.863[J]Prereq:PermissionofinstructorG(Fall)3-9-6units SeedescriptionundersubjectMAS.863[J]. N.Gershenfeld,J.DiFrancesco,J.Lavallee,G.Darcey 6.945Large-scaleSymbolicSystems Subjectmeetswith6.905Prereq:6.034orpermissionofinstructorG(Spring)3-0-9units Conceptsandtechniquesforthedesignandimplementationoflargesoftwaresystemsthatcanbeadaptedtousesnotanticipatedbythedesigner.Applicationsincludecompilers,computer-algebrasystems,deductivesystems,andsomeartificialintelligenceapplications.Coversmeansfordecouplinggoalsfromstrategy,mechanismsforimplementingadditivedata-directedinvocation,workwithpartially-specifiedentities,andhowtomanagemultipleviewpoints.Topicsincludecombinators,genericoperations,patternmatching,pattern-directedinvocation,rulesystems,backtracking,dependencies,indeterminacy,memoization,constraintpropagation,andincrementalrefinement.Studentstakinggraduateversioncompleteadditionalassignments. G.J.Sussman 6.946[J]ClassicalMechanics:AComputationalApproach Samesubjectas8.351[J],12.620[J]Prereq:PhysicsI(GIR),18.03,andpermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Fall)3-3-6units Seedescriptionundersubject12.620[J]. J.Wisdom,G.J.Sussman 6.951Graduate6-AInternship Prereq:6.921or6.922G(Fall,Spring,Summer)0-12-0units Providesacademiccreditforagraduateassignmentofgraduate6-Astudentsatcompaniesaffiliatedwiththedepartment's6-Ainternshipprogram.Limitedtograduatestudentsparticipatinginthe6-Ainternshipprogram. T.Palacios 6.952Graduate6-AInternship Prereq:6.951G(Fall,Spring,Summer)0-12-0units Providesacademiccreditforgraduatestudentsinthesecondhalfoftheir6-AMEngindustryinternship.Limitedtograduatestudentsparticipatinginthe6-Ainternshipprogram. T.Palacios 6.960IntroductoryResearchinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorG(Fall,Spring,Summer)Unitsarranged[P/D/F]Canberepeatedforcredit. Enrollmentrestrictedtofirst-yeargraduatestudentsinElectricalEngineeringandComputerSciencewhoaredoingintroductoryresearchleadingtoanSM,EE,ECS,PhD,orScDthesis.Opportunitytobecomeinvolvedingraduateresearch,underguidanceofastaffmember,onaproblemofmutualinteresttostudentandsupervisor.Individualprogramssubjecttoapprovalofprofessorincharge. L.A.Kolodziejski 6.961IntroductiontoResearchinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorG(Fall,Spring,Summer)3-0-0units SeminarontopicsrelatedtoresearchleadingtoanSM,EE,ECS,PhD,orScDthesis.Limitedtofirst-yearregulargraduatestudentsinEECSwithafellowshiporteachingassistantship. L.A.Kolodziejski 6.962IndependentStudyinElectricalEngineeringandComputerScience Prereq:NoneG(Fall,IAP,Spring,Summer)UnitsarrangedCanberepeatedforcredit. Opportunityforindependentstudyunderregularsupervisionbyafacultymember.Projectsrequirepriorapproval. L.A.Kolodziejksi 6.963NetworkingSeminarsinEECS Prereq:NoneG(Fall)Unitsarranged[P/D/F] ForfirstyearCourse6studentsintheSM/PhDtrack,whoseekweeklyengagementwithdepartmentalfacultyandstaff,todiscusstopicsrelatedtothegraduatestudentexperience,andtopromoteasuccessfulstarttograduateschool. J.Fischer 6.980TeachingElectricalEngineeringandComputerScience Prereq:NoneG(Fall,Spring)Unitsarranged[P/D/F]Canberepeatedforcredit. Forqualifiedstudentsinterestedingainingteachingexperience.Classroom,tutorial,orlaboratoryteachingunderthesupervisionofafacultymember.Enrollmentlimitedbyavailabilityofsuitableteachingassignments. E.Adalsteinsson,D.M.Freeman,L.P.Kaelbling, R.C.Miller 6.981TeachingElectricalEngineeringandComputerScience Prereq:NoneG(Fall,Spring)Unitsarranged[P/D/F]Canberepeatedforcredit. ForTeachingAssistantsinElectricalEngineeringandComputerScience,incaseswhereteachingassignmentisapprovedforacademiccreditbythedepartment. E.Adalsteinsson,D.M.Freeman,L.P.Kaelbling, R.C.Miller 6.991ResearchinElectricalEngineeringandComputerScience Prereq:NoneG(Fall,Spring,Summer)Unitsarranged[P/D/F]Canberepeatedforcredit. ForEECSMEngstudentswhoareResearchAssistantsinElectricalEngineeringandComputerScience,incaseswheretheassignedresearchisapprovedforacademiccreditbythedepartment.Hoursarrangedwithresearchsupervisor. ConsultDepartmentUndergraduateOffice 6.994ProfessionalPerspectiveI Prereq:NoneG(Fall,IAP,Spring,Summer)0-0-1unitsCanberepeatedforcredit. RequiredforCourse6studentsinthedoctoralprogramtogainprofessionalperspectiveinresearchexperiences,academicexperiences,andinternshipsinelectricalengineeringandcomputerscience.Professionalperspectiveoptionsinclude:internships(withindustry,governmentoracademia),industrialcolloquiaorseminars,researchcollaborationwithindustryorgovernment,andprofessionaldevelopmentforentryintoacademiaorentrepreneurialengagement.Foraninternshipexperience,anofferofemploymentfromacompanyororganizationisrequiredpriortoenrollment;employersmustdocumentworkaccomplished.Awrittenreportisrequireduponcompletionofaminimumof4weeksofoff-campusexperiences.Proposalssubjecttodepartmentalapproval. ConsultDepartmentGraduateOffice 6.995ProfessionalPerspectiveII Prereq:6.994G(Fall,IAP,Spring,Summer)0-0-1unitsCanberepeatedforcredit. RequiredforCourse6studentsinthedoctoralprogramtogainprofessionalperspectiveinresearchexperiences,academicexperiences,andinternshipsinelectricalengineeringandcomputerscience.Professionalperspectiveoptionsinclude:internships(withindustry,governmentoracademia),industrialcolloquiaorseminars,researchcollaborationwithindustryorgovernment,andprofessionaldevelopmentforentryintoacademiaorentrepreneurialengagement.Foraninternshipexperience,anofferofemploymentfromacompanyororganizationisrequiredpriortoenrollment;employersmustdocumentworkaccomplished.Awrittenreportisrequireduponcompletionofaminimumof4weeksofoff-campusexperiences.Proposalssubjecttodepartmentalapproval. ConsultDepartmentGraduateOffice 6.997ProfessionalPerspectiveInternship Prereq:NoneG(Fall,IAP,Spring,Summer)0-1-0units RequiredforCourse6studentsintheMEngprogramtogainprofessionalperspectiveinresearchexperiencesorinternshipsinelectricalengineeringorcomputerscience.Beforeenrolling,studentsmusthaveanofferofemploymentfromacompanyororganization.Employersmustdocumenttheworkaccomplished.Writtenreportrequireduponcompletionofaminimumoffourweeksofoff-campusexperience.Proposalssubjecttodepartmentalapproval.ForinternationalstudentswhobegintheMEngprograminthesamesummerastheproposedexperience,internshipmaynotbeginearlierthanthefirstdayoftheSummerSession. ConsultDepartmentUndergraduateOffice 6.998PracticalExperienceinEECS Prereq:NoneG(Fall,IAP,Spring,Summer)0-1-0unitsCanberepeatedforcredit. ForCourse6studentsintheMEngprogramwhoseekpracticaloff-campusresearchexperiencesorinternshipsinelectricalengineeringorcomputerscience.Beforeenrolling,studentsmusthaveanofferofemploymentfromacompanyororganizationandsecureasupervisorwithinEECS.Employersmustdocumenttheworkaccomplished.Proposalssubjecttodepartmentalapproval.ForstudentswhobegintheMEngprograminthesummeronly,theexperienceorinternshipcannotexceed20hoursperweekandmustbeginnoearlierthanthefirstdayoftheSummerSession,butmayendaslateasthelastbusinessdaybeforetheFallTerm. ConsultDepartmentUndergraduateOffice 6.EPEUPOPEngineeringPracticeExperience EngineeringSchool-WideElectiveSubject. Offeredunder:1.EPE,2.EPE,3.EPE,6.EPE,8.EPE,10.EPE,15.EPE,16.EPE,20.EPE,22.EPEPrereq:2.EPWorpermissionofinstructorU(Fall,Spring)0-0-1units Seedescriptionundersubject2.EPE. Staff 6.EPWUPOPEngineeringPracticeWorkshop EngineeringSchool-WideElectiveSubject. Offeredunder:1.EPW,2.EPW,3.EPW,6.EPW,10.EPW,16.EPW,20.EPW,22.EPWPrereq:NoneU(Fall,IAP)1-0-0units Seedescriptionundersubject2.EPW.Enrollmentlimited. Staff 6.S897SpecialSubjectinComputerScience Prereq:PermissionofinstructorG(Fall)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S898SpecialSubjectinComputerScience Prereq:PermissionofinstructorG(Fall)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S899SpecialSubjectinComputerScience Prereq:PermissionofinstructorG(Fall)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S911SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Spring) Notofferedregularly;consultdepartmentUnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S912SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S913SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S914SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S915SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S916SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S917SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S918SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S919SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorU(Fall,IAP,Spring) Notofferedregularly;consultdepartmentUnitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum. ConsultDepartment 6.S963-6.S967SpecialStudies:EECS Prereq:NoneG(Spring)UnitsarrangedCanberepeatedforcredit. Opportunityforstudyofgraduate-leveltopicsrelatedtoelectricalengineeringandcomputersciencebutnotincludedelsewhereinthecurriculum.Registrationunderthissubjectnormallyusedforsituationsinvolvingsmallstudygroups.Normalregistrationisfor12units.Registrationsubjecttoapprovalofprofessorincharge.Consultthedepartmentfordetails. ConsultDepartment 6.S974SpecialSubjectinElectricalEngineeringandComputerScience Prereq:NoneG(Fall) Notofferedregularly;consultdepartmentUnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S975SpecialSubjectinElectricalEngineeringandComputerScience Prereq:NoneG(Spring;firsthalfofterm)Unitsarranged[P/D/F]Canberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S976SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorAcadYear2021-2022:Notoffered AcadYear2022-2023:G(Spring)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S977SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorG(Spring)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S978SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorG(Spring)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.S979SpecialSubjectinElectricalEngineeringandComputerScience Prereq:PermissionofinstructorG(Spring)UnitsarrangedCanberepeatedforcredit. Coverssubjectmatternotofferedintheregularcurriculum.Consultdepartmenttolearnofofferingsforaparticularterm. ConsultDepartment 6.THGGraduateThesis Prereq:PermissionofinstructorG(Fall,IAP,Spring,Summer)UnitsarrangedCanberepeatedforcredit. ProgramofresearchleadingtothewritingofanSM,EE,ECS,PhD,orScDthesis;tobearrangedbythestudentandanappropriateMITfacultymember. L.A.Kolodziejski 6.THMMasterofEngineeringProgramThesis Prereq:6.UATG(Fall,IAP,Spring,Summer)UnitsarrangedCanberepeatedforcredit. ProgramofresearchleadingtothewritingofanMEngthesis;tobearrangedbythestudentandanappropriateMITfacultymember.RestrictedtoMEnggraduatestudents. ConsultDepartmentUndergraduateOffice 6.URUndergraduateResearchinElectricalEngineeringandComputerScience Prereq:NoneU(Fall,IAP,Spring,Summer)Unitsarranged[P/D/F]Canberepeatedforcredit. Individualresearchprojectarrangedwithappropriatefacultymemberorapprovedsupervisor.Formsandinstructionsforthe finalreportareavailableintheEECSUndergraduateOffice. ConsultDepartmentUndergraduateOffice AdmissionsFinancialAidRegistrarIAPSummerProfessionalEducationMITxK-12CampusMapDirectoriesAbouttheBulletinNondiscriminationPolicyChangesHelpAccessibility 77MassachusettsAvenueCambridge,MA02139-4307 Backtotop PrintOptions SendPagetoPrinter Printthispage. DownloadPDFofthisPageThePDFincludesallinformationonthispageanditsrelatedtabs.Subject(course)informationincludesanychangesapprovedforthecurrentacademicyear. OverviewtabPDF UndergraduatetabPDF GraduatetabPDF Faculty/StafftabPDF SubjectstabPDF DownloadPDFoftheEntireCatalogand/orSubjectDescriptions Cancel
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