MIT OpenCourseWare: New Courses with Online Textbooks ContentNew courses with Online Textbooks in all departments from MIT OpenCourseWare, provider of free and open MIT course materials.
https://ocw.mit.edu/courses/ol/
2022-01-28T20:34:50+05:00MIT OpenCourseWare https://ocw.mit.eduen-USContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm8.02 Physics II: Electricity and Magnetism (MIT)Electricity and magnetism dominate much of the world around us – from the most fundamental processes in nature to cutting-edge electronic devices. Electric and magnetic fields arise from charged particles. Charged particles also feel forces in electric and magnetic fields. Maxwell’s equations, in addition to describing this behavior, also describe electromagnetic radiation. The three-course series comprises:8.02.1x: Electrostatics8.02.2x: Magnetic Fields and Forces8.02.3x: Maxwell’s EquationsThis course was organized as a three-part series on MITx by MIT’s Department of Physics and is now archived on the Open Learning Library, which is free to use. You have the option to sign up and enroll in each module if you want to track your progress, or you can view and use all the materials without enrolling.
https://ocw.mit.edu/courses/physics/8-02-physics-ii-electricity-and-magnetism-spring-2019
Spring2019Dourmashkin, PeterTomasik, MichelleRajagopal, KrishnaBarrantes, AnaliaRedwine, Robert2021-11-29T00:14:36+05:008.02en-USelectromagnetismelectrostaticselectric chargeCoulomb's lawelectric structure of matterconductorsdielectricselectrostatic fieldpotentialelectrostatic energyElectric currentsmagnetic fieldsAmpere's lawMagnetic materialsTime-varying fieldsFaraday's law of inductionelectric circuitsElectromagnetic wavesMaxwell's equationsMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm3.091 Introduction to Solid-State Chemistry (MIT)In this course, we will explore what makes things in the world the way they are and why, to understand the science and consider the engineering. We learn not only why the physical world behaves the way it does, but also how to think with chemical intuition, which can’t be gained simply by observing the macroscopic world. This 2018 version of 3.091 by Jeffrey Grossman and the 2010 OCW version by Don Sadoway cover similar topics and both provide complete learning materials. This 2018 version also includes Jeffrey Grossman’s innovative Goodie Bags, Why This Matters, and CHEMATLAS content, as well as additional practice problems, quizzes, and exams.
https://ocw.mit.edu/courses/materials-science-and-engineering/3-091-introduction-to-solid-state-chemistry-fall-2018
Fall2018Grossman, Jeffrey2020-12-02T17:58:43+05:003.091en-USscientific methodatomchemical reaction balancinglaw of conservation of masscombustion reactionlimiting reagentyieldmoleAvogadro’s numberatomic mass units (AMUs)groupsMain Group ElementsTransition Elementsalpha particlesbeta particlesgamma raysnucleusprotonsatomic numberneutronsmass numberisotopesBohr modelquantizationground stateexcited statesabsorptionemissionphotoelectric effectPhoto-Electron Spectroscopy (PES)wave-particle dualitySchrodinger Equationorbitalwave functionAufbau principleelectronic conﬁgurationHund’s ruleperiodic trendsPhoto-electron Spectroscopy (PES)electron aﬃnityLewis Dot Diagramsoctet ruleCovalent bondspolarityElectronegativityexpanded octetintermolecular forces (IMFs)ion-dipole interactiondipole-dipoleinduced dipolesLondon dispersion forces (LDF)hydrogen bondscontinuous band of electronic stateoverlapband gapconduction bandband gapconduction bandvalence bandlatticesea of electronshigh electrical conductivityhigh thermal conductivityhigh heat capacityductilitylusterconductivityheatmalleablehalf-ﬁlled valence bandslong-range ordercrystal latticeradiationmetal target atomx-ray generationmedical imagingcrystal latticevacanciesinterstitial impuritiesself-interstitialssubstitutional impuritiesdislocationsslip-planessilicacrystalline solidsCorningchain scissionnetwork modifiertemperedcompressive stressLe Chatelier's principlecommon ion effectacidsbasesnaturalizationpolymersradical polymerizationcondensation polymerizationpolymer propertiesweight, branding, tactilitycross linkingMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmRES.18-010 A 2020 Vision of Linear Algebra (MIT)These brief videos, recorded in 2020, contain ideas and suggestions from Professor Strang about the recommended order of topics in teaching and learning linear algebra. The first topic is called A New Way to Start Linear Algebra. The key point is to start right in with the columns of a matrix A and the multiplication Ax that combines those columns.That leads to The Column Space of a Matrix and the idea of independent columns and the factorization A = CR that tells so much about A. With good numbers, every student can see dependent columns.The remaining videos outline very briefly the full course: The Big Picture of Linear Algebra; Orthogonal Vectors; Eigenvalues & Eigenvectors; and Singular Values & Singular Vectors. Singular values have become so important and they come directly from the eigenvalues of A'A.A new video recorded in 2021, Finding the Nullspace: Solving Ax = 0 by Elimination, computes the nullspace of any matrix A.You can see this new idea developing in the first video lecture of Professor Strang’s 2019 course 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning.
https://ocw.mit.edu/resources/res-18-010-a-2020-vision-of-linear-algebra-spring-2020
Spring2020Strang, Gilbert2020-05-05T12:38:28+05:00en-USlinear algebramatrixmatricescolumn spaceorthogonal vectorseigenvalueseigenvectorssingular valuessingular vectors, factorizationA = CRSVDMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm18.785 Number Theory I (MIT)This is the first semester of a one-year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry.
https://ocw.mit.edu/courses/mathematics/18-785-number-theory-i-fall-2019
Fall2019Sutherland, Andrew2020-04-23T14:42:04+05:0018.785en-USAbsolute valuesDiscrete valuationslocalizationDedekind domainsEtale algebrasDedekind extensionsIdeal NormDedekind-Kummer TheoremGalois extensionsArtin mapcomplete fieldsValuation ringsHensel's lemmasKrasner's lemmaMinkowski boundDirichlet's unit theormZeta functionRay ClassRing of AdelesIdele groupChebotarev density theoremGlobal fieldsTate cohomologyArtin reciprocityMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm18.600 Probability and Random Variables (MIT)This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem.
https://ocw.mit.edu/courses/mathematics/18-600-probability-and-random-variables-fall-2019
Fall2019Sheffield, Scott2020-04-06T16:49:43+05:0018.600en-USProbability spacesrandom variablesdistribution functionsBinomialgeometrichypergeometricPoisson distributionsUniformexponentialnormalgamma and beta distributionsConditional probabilityBayes theoremjoint distributionsChebyshev inequalitylaw of large numberscentral limit theoremMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm18.212 Algebraic Combinatorics (MIT)This course covers the applications of algebra to combinatorics. Topics include enumeration methods, permutations, partitions, partially ordered sets and lattices, Young tableaux, graph theory, matrix tree theorem, electrical networks, convex polytopes, and more.
https://ocw.mit.edu/courses/mathematics/18-212-algebraic-combinatorics-spring-2019
Spring2019Postnikov, Alexander2019-12-19T16:21:22+05:0018.212en-USenumeration methodspermutationspartitionspartially ordered sets and latticesYoung tableauxgraph theorymatrix tree theoremelectrical networksconvex polytopesMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm4.540 Introduction to Shape Grammars I (MIT)Shape grammars are systems of visual rules by which one shape may be transformed into another. By applying these rules recursively, a simple shape can be elaborated into a complex pattern. This course offers an in-depth introduction to shape grammars and their applications in architecture and related areas of design. More specifically, it involves manipulation of shapes in the algebras Uij, in the algebras Vij and Wij incorporating labels and weights, and in algebras formed as composites of these. Discussions center on rules and computations, shape and structure, and designs.
https://ocw.mit.edu/courses/architecture/4-540-introduction-to-shape-grammars-i-fall-2018
Fall2018Stiny, George2019-12-16T16:49:31+05:004.540en-USshape grammarsvisual calculationice raysschemasembeddingrecursionpatternsstylesPalladianmaximal elementsidentitycompositionalityMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm18.S097 Applied Category Theory (MIT)Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this same organizational framework also has many compelling examples outside of pure math. In this course, we will give seven sketches on real-world applications of category theory.
https://ocw.mit.edu/courses/mathematics/18-s097-applied-category-theory-january-iap-2019
January IAP2019Spivak, David I.Fong, Brendan2019-03-25T19:18:33+05:0018.S097en-USorderadjunctionsetGalois connectionmonoidal preorderwiring diagramV-categoriesBool-categoriescategoriesfunctorslimitscolimitsmonoidal categorieshypergraph categoriessheavestoposesMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm8.01SC Classical Mechanics (MIT)This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical mechanics in order to solve the most famous physics problem, the motion of the planets. The principles of mechanics successfully described many other phenomena encountered in the world. Conservation laws involving energy, momentum and angular momentum provided a second parallel approach to solving many of the same problems. In this course, we will investigate both approaches: Force and conservation laws. Our goal is to develop a conceptual understanding of the core concepts, a familiarity with the experimental verification of our theoretical laws, and an ability to apply the theoretical framework to describe and predict the motions of bodies.
https://ocw.mit.edu/courses/physics/8-01sc-classical-mechanics-fall-2016
Fall2016Chakrabarty, DeeptoDourmashkin, PeterTomasik, MichelleFrebel, AnnaVuletic, Vladan2017-06-02T17:19:25+05:008.01SCen-USclassical mechanicsSpace and timestraight-line kinematicsmotion in a planeforces and equilibriumexperimental basis of Newton's lawsparticle dynamicsuniversal gravitationcollisions and conservation lawswork and potential energyvibrational motionconservative forcesinertial forces and non-inertial framescentral force motionsrigid bodies and rotational dynamicsMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmRES.15-003 Shaping the Future of Work (15.662x) (MIT)The goal of this course is to explore and develop plans of action for improving the job and career opportunities for today and tomorrow's workforce. If we take the right actions we can shape the future of work in ways that meet the needs of workers, families, and their economies and societies. To do so we first have to understand how the world of work is changing, how firms can compete and prosper and support good jobs and careers, and how to update the policies and practices governing the world of work.
https://ocw.mit.edu/resources/res-15-003-shaping-the-future-of-work-15-662x-spring-2016
Spring2016Kochan, Thomas A.2017-03-07T18:03:29+05:00en-USfuture of workworklaborcareeropportunitiesnext generationworkforcelabor marketthe New Dealpost-warsocial contract1980sSaturnwork systemsalternate modelsglobal corporationsorganizationlabor unionjob securityemerging modelsnew technologycollective negotiationnegotiationMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm6.005 Software Construction (MIT)6.005 Software Construction introduces fundamental principles and techniques of software development, i.e., how to write software that is safe from bugs, easy to understand, and ready for change. The course includes problem sets and a final project. Important topics include specifications and invariants; testing; abstract data types; design patterns for object-oriented programming; concurrent programming and concurrency; and functional programming. The 6.005 website homepage from Spring 2016, along with all course materials, is available to OpenCourseWare users.
https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-005-software-construction-spring-2016
Spring2016Miller, RobertGoldman, Max2017-01-31T21:23:39+05:006.005en-USSoftware ConstructionSoftware EngineeringStatic CheckingBasic JavaTestingCode ReviewVersion ControlSpecificationsDebuggingMutabilityImmutabilityRecursionAbstract Data TypesADTsInterfacesData TypesRegular Expressions and GrammarsParserGeneratorConcurrencyThread SafetyNetworkingQueuesLocksSynchronizationGUIGraphical User InterfacesMap filter reduceTeam version controlMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm15.014 Applied Macro- and International Economics II (MIT)This course seeks to establish understanding of the development processes of societies and economies by studying several dimensions of sustainability (environmental, social, political, institutional, economy, organizational, relational, and personal) and the balance among them. It explores the basics of governmental intervention, focusing on areas such as the judicial system, environment, social security, and health, and builds skills to determine what type of policy is most appropriate. We also consider implications of new technologies on the financial sector: Internationalization of currencies, mobile payment systems, and cryptocurrencies, and discuss the institutional framework to ensure choices are sustainable across all dimensions and applications.
https://ocw.mit.edu/courses/sloan-school-of-management/15-014-applied-macro-and-international-economics-ii-spring-2016
Spring2016Rigobon, Roberto2016-12-06T19:04:12+05:0015.014en-USmacroeconomicsinternational economicsworld economiesglobal tradeeconomic policyinflationinterest ratesexchange ratesnational economic strategiesdeveloping nationscurrency crisistransition economiesglobal marketsworld bankIMFinternational monetary fundmonetary policydepressionunemploymentinternational financial architectureMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm16.63J System Safety (MIT)This course introduces the concepts of system safety and how to analyze and design safer systems. Topics include the causes of accidents in general, and recent major accidents in particular; hazard analysis, safety-driven design techniques; design of human-automation interaction; integrating safety into the system engineering process; and managing and operating safety-critical systems.
https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-63j-system-safety-spring-2016
Spring2016Leveson, Nancy2016-11-29T21:07:59+05:0016.63JESD.03JIDS.045Jen-US16.63J16.63ESD.03JESD.03hindsight biassystem accident reportsSystems Theoretic Process AnalysisSTPASystem-Theoretic Accident Model and ProcessesSTAMPhuman factorscyber securityCAST analysissystem theoryaccident modelshazard analysisMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm16.863J System Safety (MIT)This course covers important concepts and techniques in designing and operating safety-critical systems. Topics include the nature of risk, formal accident and human error models, causes of accidents, fundamental concepts of system safety engineering, system and software hazard analysis, designing for safety, fault tolerance, safety issues in the design of human-machine interaction, verification of safety, creating a safety culture, and management of safety-critical projects. Includes a class project involving the high-level system design and analysis of a safety-critical system.
https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-863j-system-safety-spring-2016
Spring2016Leveson, Nancy2016-11-29T19:17:51+05:0016.863JESD.863JIDS.340Jen-USESD.863JESD.86316.863J16.863risk managementhuman error modelssystem safety engineeringhazard analysissafety designfault tolerancesafety-critical systemhuman factors. cyber securitySystems Theoretic Process Analysis (STPA)MIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm6.042J Mathematics for Computer Science (MIT)This subject offers an interactive introduction to discrete mathematics oriented toward computer science and engineering. The subject coverage divides roughly into thirds: Fundamental concepts of mathematics: Definitions, proofs, sets, functions, relations. Discrete structures: graphs, state machines, modular arithmetic, counting. Discrete probability theory. On completion of 6.042J, students will be able to explain and apply the basic methods of discrete (noncontinuous) mathematics in computer science. They will be able to use these methods in subsequent courses in the design and analysis of algorithms, computability theory, software engineering, and computer systems.Interactive site components can be found on the Unit pages in the left-hand navigational bar, starting with Unit 1: Proofs.
https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-spring-2015
Spring2015Meyer, Albert R.Chlipala, Adam2016-09-12T18:10:48+05:006.042J18.062Jen-US6.0426.042J18.062J18.062formal logic notationproof methodsinductionsetsrelationsgraph theoryinteger congruencesasymptotic notationgrowth of functionspermutationscombinationscountingdiscrete probabilityMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm6.047 Computational Biology (MIT)This course covers the algorithmic and machine learning foundations of computational biology combining theory with practice. We cover both foundational topics in computational biology, and current research frontiers. We study fundamental techniques, recent advances in the field, and work directly with current large-scale biological datasets.
https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-047-computational-biology-fall-2015
Fall2015Kellis, Manolis2016-06-23T15:39:59+05:006.0476.878HST.507en-USGenomesNetworksEvolutioncomputational biologygenomicscomparative genomicsepigenomicsfunctional genomics, motifsphylogenomicspersonal genomicsalgorithmsmachine learningbiologybiological datasetsproteomicssequence analysissequence alignmentgenome assemblynetwork motifsnetwork evolutiongraph algorithmsphylogeneticspythonprobabilitystatisticsentropyinformationMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm2.051 Introduction to Heat Transfer (MIT)This course is an introduction to the principal concepts and methods of heat transfer. The objectives of this integrated subject are to develop the fundamental principles and laws of heat transfer and to explore the implications of these principles for system behavior; to formulate the models necessary to study, analyze and design heat transfer systems through the application of these principles; to develop the problem-solving skills essential to good engineering practice of heat transfer in real-world applications.
https://ocw.mit.edu/courses/mechanical-engineering/2-051-introduction-to-heat-transfer-fall-2015
Fall2015Varanasi, Kripa2016-06-06T19:03:03+05:002.051en-USConductionConvectionRadiationFourier LawEnergy BalanceFirst law of thermodynamicsThermal resistance networkThermal Energy GenerationFinsHeat Transfer in FinsMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm2.18 Biomolecular Feedback Systems (MIT)This course focuses on feedback control mechanisms that living organisms implement at the molecular level to execute their functions, with emphasis on techniques to design novel systems with prescribed behaviors. Students will learn how biological functions can be understood and designed using notions from feedback control.
https://ocw.mit.edu/courses/mechanical-engineering/2-18-biomolecular-feedback-systems-spring-2015
Spring2015Del Vecchio, Domitilla2015-11-04T09:57:51+05:002.182.180en-USbiomolecular feedback systemssystems biologymodelingfeedbackcellsystemcontroldynamicalinput/outputsynthetic biologytechniquestranscriptiontranslationtranscriptional regulationpost-transcriptional regulationcellular subsystemsdynamic behavioranalysisequilibriumrobustnessoscillatory behaviorbifurcationsmodel reductionstochasticbiochemicalsimulationlinearcircuitdesignbiological circuit designnegative autoregulationtoggle switchrepressilatoractivator-repressor clockIFFLincoherent feedforward loopbacterial chemotaxisinterconnecting componentsmodularityretroactivitygene circuitdesignMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm2.086 Numerical Computation for Mechanical Engineers (MIT)This class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches. Examples are drawn from mechanical engineering disciplines, in particular from robotics, dynamics, and structural analysis. Assignments require MATLAB® programming.
https://ocw.mit.edu/courses/mechanical-engineering/2-086-numerical-computation-for-mechanical-engineers-fall-2014
Fall2014Hadjiconstantinou, Nicolas G.Patera, Anthony T.2015-07-09T15:38:51+05:002.086en-USMATLABnumerical analysisprogrammingphysical modelingcalculuslinear algebraMonte Carlo Methoddifferential equationsnonlinear systemsvariable typesdata structureflow controlprobabilitystatisticsroboticsMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm18.440 Probability and Random Variables (MIT)This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem.
https://ocw.mit.edu/courses/mathematics/18-440-probability-and-random-variables-spring-2014
Spring2014Sheffield, Scott2015-05-14T17:12:51+05:0018.440en-USProbability spacesrandom variablesdistribution functionsBinomialgeometrichypergeometricPoisson distributionsUniformexponentialnormalgamma and beta distributionsConditional probabilityBayes theoremjoint distributionsChebyshev inequalitylaw of large numbersAnd central limit theoremMIT OpenCourseWare https://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm