MIT OpenCourseWare: New Courses in Mechanical EngineeringNew courses in Mechanical Engineering from MIT OpenCourseWare, provider of free and open MIT course materials.
http://ocw.mit.edu/courses/mechanical-engineering
2015-08-21T12:58:40+05:00MIT OpenCourseWare http://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 http://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.
http://ocw.mit.edu/courses/mechanical-engineering/2-086-numerical-computation-for-mechanical-engineers-fall-2014
Fall2014Patera, Anthony T.2015-07-09T11:38:51+05:002.086en-USMATLABnumerical analysisprogrammingphysical modelingcalculuslinear algebraMonte Carlo Methoddifferential equationsnonlinear systemsvariable typesdata structureflow controlprobabilitystatisticsroboticsMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.25 Advanced Fluid Mechanics (MIT)This course is a survey of principal concepts and methods of fluid dynamics. Topics include mass conservation, momentum, and energy equations for continua; Navier-Stokes equation for viscous flows; similarity and dimensional analysis; lubrication theory; boundary layers and separation; circulation and vorticity theorems; potential flow; introduction to turbulence; lift and drag; surface tension and surface tension driven flows.
http://ocw.mit.edu/courses/mechanical-engineering/2-25-advanced-fluid-mechanics-fall-2013
Fall2013McKinley, Gareth2015-06-30T17:00:17+05:002.25en-USfluid dynamicsMass conservationNavier-Stokes equationviscous flowsdimensional analysisLubrication theoryboundary layerliftdragvorticity theoremsPotential flowturbulenceBernoulli equationpotenial flowinviscid flowflightsurface tensionMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.785J Cell-Matrix Mechanics (MIT)Mechanical forces play a decisive role during development of tissues and organs, during remodeling following injury as well as in normal function. A stress field influences cell function primarily through deformation of the extracellular matrix to which cells are attached. Deformed cells express different biosynthetic activity relative to undeformed cells. The unit cell process paradigm combined with topics in connective tissue mechanics form the basis for discussions of several topics from cell biology, physiology, and medicine.
http://ocw.mit.edu/courses/mechanical-engineering/2-785j-cell-matrix-mechanics-fall-2014
Fall2014Spector, MyronYannas, Ioannis2015-05-04T13:51:28+05:002.785J3.97J20.411JHST.523Jen-UScellmatrixmechanicstissueorgandevelopmentinjurystress fieldcell functiondeformed cellsbiosynthetic activityunit cellconnective tissuecell biologyphysiologymedicinecytoplasmextracellular matrixskeletonboneMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.700 Principles of Naval Architecture (MIT)This course presents principles of naval architecture, ship geometry, hydrostatics, calculation and drawing of curves of form, intact and damage stability, hull structure strength calculations and ship resistance. It introduces computer-aided naval ship design and analysis tools. Projects include analysis of ship lines drawings, calculation of ship hydrostatic characteristics, analysis of intact and damaged stability, ship model testing, and hull structure strength calculations.
http://ocw.mit.edu/courses/mechanical-engineering/2-700-principles-of-naval-architecture-fall-2014
Fall2014Harbour, JoelSapsis, Themistoklis2015-04-13T12:19:24+05:002.7002.701en-USnaval architectureship geometrygeometry of shipsship resistanceflowhydrostaticsintact stabilitydamage stabilitygeneral stabilityhullhydrostaticship model testinghull structureResistancePropulsionVibrationsubmarinehull subdivisionmidsectionMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.737 Mechatronics (MIT)This course is an introduction to designing mechatronic systems, which require integration of the mechanical and electrical engineering disciplines within a unified framework. There are significant laboratory-based design experiences. Topics covered in the course include: Low-level interfacing of software with hardware; use of high-level graphical programming tools to implement real-time computation tasks; digital logic; analog interfacing and power amplifiers; measurement and sensing; electromagnetic and optical transducers; control of mechatronic systems.
http://ocw.mit.edu/courses/mechanical-engineering/2-737-mechatronics-fall-2014
Fall2014Trumper, David2015-03-26T17:15:13+05:002.737en-USmechatronicsmechatronic systemscontrol systemselectrical systemsmechanical systemsrobotsroboticsLabVIEWcontrol electronicselectromechanicsmechanical CADdigital control systemslaboratorydesignsoftwarehardwarecomputationdigital logicanalog interfacingpower amplifiermeasurementsensingtransducerMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.71 Optics (MIT)This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical and numerical tools used in optical design are emphasized. Graduate students are required to complete assignments with stronger analytical content, and an advanced design project.
http://ocw.mit.edu/courses/mechanical-engineering/2-71-optics-spring-2014
Spring2014Fang, Nicholas X.2015-01-22T13:49:57+05:002.712.710en-USopticsoptical sciencegeometrical opticsray-tracingaberrationslens designaperturesstopsradiometryphotometryWave opticselectrodynamicspolarizationinterferencewave-guidingFresnelFraunhofer diffractionimage formationresolutionspace-bandwidth productoptical designMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.080J Structural Mechanics (MIT)This course covers the fundamental concepts of structural mechanics with applications to marine, civil, and mechanical structures. Topics include analysis of small deflections of beams, moderately large deflections of beams, columns, cables, and shafts; elastic and plastic buckling of columns, thin walled sections and plates; exact and approximate methods; energy methods; principle of virtual work; introduction to failure analysis of structures. We will include examples from civil, mechanical, offshore, and ship structures such as the collision and grounding of ships.
http://ocw.mit.edu/courses/mechanical-engineering/2-080j-structural-mechanics-fall-2013
Fall2013Wierzbicki, Tomasz2015-01-17T20:52:39+05:002.080J1.573Jen-USvectortensorstatic equilibriumstrainstressMohr's circleelasticvirtual workminimum total potential energybeam deflectionsenergy methodshear stressbeamshaftexperimental mechanicsstabilityRayleigh-Ritz quotientcolumnbucklingloadplateyieldplasticitycylinderfractureimplosionsubmarineColumbia Space ShuttleBPDeepwater HorizoncrashworthinessMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.087 Engineering Math: Differential Equations and Linear Algebra (MIT)This course is about the mathematics that is most widely used in the mechanical engineering core subjects: An introduction to linear algebra and ordinary differential equations (ODEs), including general numerical approaches to solving systems of equations.
http://ocw.mit.edu/courses/mechanical-engineering/2-087-engineering-math-differential-equations-and-linear-algebra-fall-2014
Fall2014Frey, DanielStrang, Gilbert2015-01-15T13:52:48+05:002.087en-USdifferential equationslinear algebralinear differential equationsordinarypartialvector spacefirst ordersecond orderHeavisidedeltaDiracexponentialsinusoidrealcomplexforced oscillationsLaplace transformgraphnonlinearsourcesinksaddlespiralEulerlinearizationGuassianmatrixmechanical engineereigenvectoreigenvalueexponentiationleast squaresMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.627 Fundamentals of Photovoltaics (MIT)Fundamentals of photoelectric conversion: charge excitation, conduction, separation, and collection. Lectures cover commercial and emerging photovoltaic technologies and cross-cutting themes, including conversion efficiencies, loss mechanisms, characterization, manufacturing, systems, reliability, life-cycle analysis, risk analysis, and technology evolution in the context of markets, policies, society, and environment. This course is one of many OCW Energy Courses, and it is an elective subject in MIT's undergraduate Energy Studies Minor. This Institute–wide program complements the deep expertise obtained in any major with a broad understanding of the interlinked realms of science, technology, and social sciences as they relate to energy and associated environmental challenges.
http://ocw.mit.edu/courses/mechanical-engineering/2-627-fundamentals-of-photovoltaics-fall-2013
Fall2013Buonassisi, Tonio2015-01-05T16:48:29+05:002.6272.626en-USphotovoltaicsrenewable energysolarpn-junctionquantum efficiencybandgapthermalizationsemiconductorthin filmscharge excitationconductioncommercializationemerging technologiesconversion efficienciesloss mechanismsmanufacturinglife-cycle analysismarketspolicysocietyenvironmentMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.14 Analysis and Design of Feedback Control Systems (MIT)This course develops the fundamentals of feedback control using linear transfer function system models. Topics covered include analysis in time and frequency domains; design in the s-plane (root locus) and in the frequency domain (loop shaping); describing functions for stability of certain non-linear systems; extension to state variable systems and multivariable control with observers; discrete and digital hybrid systems and use of z-plane design. Students will complete an extended design case study. Students taking the graduate version (2.140) will attend the recitation sessions and complete additional assignments.
http://ocw.mit.edu/courses/mechanical-engineering/2-14-analysis-and-design-of-feedback-control-systems-spring-2014
Spring2014Trumper, David2014-10-08T15:51:07+05:002.142.140en-USfeedback loopscontrol systemscompensationBode plotsNyquist plotsstate spacefrequency domaintime domaintransfer functionsLaplace transformroot locusop-ampsgearsmotorsactuatorsnonlinear systemsstability theorycontrol systemsdynamic feedbackmechanical engineering problem archiveMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.A35 Biomimetic Principles and Design (MIT)Biomimetics is based on the belief that nature, at least at times, is a good engineer. Biomimesis is the scientific method of learning new principles and processes based on systematic study, observation and experimentation with live animals and organisms. This Freshman Advising Seminar on the topic is a way for freshmen to explore some of MIT's richness and learn more about what they may want to study in later years.
http://ocw.mit.edu/courses/mechanical-engineering/2-a35-biomimetic-principles-and-design-fall-2013
Fall2013Triantafyllou, Michael2014-06-13T16:10:33+05:002.A35en-USbiomimeticsbiomimicrybiomimesisnaturereverse engineeringbionicsadaptationgenetic algorithmspoliticsdesignimitaterobotroboticsrobotunafluid mechanicsfishswimsubmarinecomplexityMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.06 Fluid Dynamics (MIT)This class provides students with an introduction to principal concepts and methods of fluid mechanics. Topics covered in the course include pressure, hydrostatics, and buoyancy; open systems and control volume analysis; mass conservation and momentum conservation for moving fluids; viscous fluid flows, flow through pipes; dimensional analysis; boundary layers, and lift and drag on objects. Students will work to formulate the models necessary to study, analyze, and design fluid systems through the application of these concepts, and to develop the problem-solving skills essential to good engineering practice of fluid mechanics in practical applications.
http://ocw.mit.edu/courses/mechanical-engineering/2-06-fluid-dynamics-spring-2013
Spring2013Varanasi, Kripa2014-05-09T20:44:45+05:002.06en-USfluiddynamicsmechanicsengineeringflowaerodynamicssurfacewavehydrostaticbuoyancyviscousviscosityliftdragphysicsMIT OpenCourseWare http://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 http://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.
http://ocw.mit.edu/courses/mechanical-engineering/2-086-numerical-computation-for-mechanical-engineers-spring-2013
Spring2013Patera, Anthony T.2014-03-18T17:37:49+05:002.086en-USMATLABnumerical analysisprogrammingphysical modelingcalculuslinear algebraMonte Carlo Methoddifferential equationsnonlinear systemsvariable typesdata structureflow controlprobabilitystatisticsroboticsMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.04A Systems and Controls (MIT)This course provides an introduction to linear systems, transfer functions, and Laplace transforms. It covers stability and feedback, and provides basic design tools for specifications of transient response. It also briefly covers frequency-domain techniques.
http://ocw.mit.edu/courses/mechanical-engineering/2-04a-systems-and-controls-spring-2013
Spring2013Barbastathis, George2014-01-07T16:51:38+05:002.04Aen-USsystemscontrolsordinary differential equationsODEsdifferential equationsLaplacetransfer functionflywheelcircuitsimpedancefeedbackroot locuslinear systemsLaplace transformsstabilityfrequency-domainskyscaperMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.682 Acoustical Oceanography (MIT)This course will begin with brief overview of what important current research topics are in oceanography (physical, geological, and biological) and how acoustics can be used as a tool to address them. Three typical examples are climate, bottom geology, and marine mammal behavior. Will then address the acoustic inverse problem, reviewing inverse methods (linear and nonlinear) and the combination of acoustical methods with other measurements as an integrated system. Last part of course will concentrate on specific case studies, taken from current research journals. This course is taught on campus at MIT and with simultaneous video at Woods Hole Oceanographic Institution.
http://ocw.mit.edu/courses/mechanical-engineering/2-682-acoustical-oceanography-spring-2012
Spring2012Lynch, James2013-12-05T17:01:28+05:002.682en-USoceanographyacousticsshallow water acousticsacoustical oceanographyWHOIMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.003SC Engineering Dynamics (MIT)This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange's equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems. Content Development J. Kim Vandiver David Gossard
http://ocw.mit.edu/courses/mechanical-engineering/2-003sc-engineering-dynamics-fall-2011
Fall2011Vandiver, J. KimGossard, David2013-09-03T17:47:19+05:002.003SC1.053Jen-USdynamics and vibrationslumped-parameter modelskinematicsmomentumsystems of particles and rigid bodieswork-energy conceptsvirtual displacements and virtual workLagrange's equationsequations of motionlinear stability analysisfree and forced vibrationlinear multi-degree of freedom modelsmatrix eigenvalue problemsMIT OpenCourseWare http://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 http://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.
http://ocw.mit.edu/courses/mechanical-engineering/2-086-numerical-computation-for-mechanical-engineers-fall-2012
Fall2012Patera, Anthony T.Frey, DanielHadjiconstantinou, Nicholas2013-07-10T16:31:46+05:002.086en-USMATLABnumerical analysisprogrammingphysical modelingcalculuslinear algebraMonte Carlo Methoddifferential equationsnonlinear systemsMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.96 Management in Engineering (MIT)This course gives an overview of engineering management and covers topics such as financial principles, management of innovation, technology strategy, and best management practices. The focus of the course is the development of individual skills and team work. This is carried out through an exposure to management tools.
http://ocw.mit.edu/courses/mechanical-engineering/2-96-management-in-engineering-fall-2012
Fall2012Chun, Jung-HoonMarcus, Henry S.Weiss, Abbott2013-06-07T12:27:55+05:002.962.9616.93010.80616.653en-USengineering managementfinancial principlesinnovation in managementtechnology strategymanagement practicesproject planningtechnical strategyMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.S998 Marine Autonomy, Sensing and Communications (MIT)This course covers basic topics in autonomous marine vehicles, focusing mainly on software and algorithms for autonomous decision making (autonomy) by underwater vehicles operating in the ocean environments, autonomously adapting to the environment for improved sensing performance. It will introduce students to underwater acoustic communication environment, as well as the various options for undersea navigation, both crucial to the operation of collaborative undersea networks for environmental sensing. Sensors for acoustic, biological and chemical sensing by underwater vehicles and their integration with the autonomy system for environmentally adaptive undersea mapping and observation will be covered. The subject will have a significant lab component, involving the use of the MOOS-IvP autonomy software infrastructure for developing integrated sensing, modeling and control solutions for a variety of ocean observation problems, using simulation environments and a field testbed with small autonomous surface craft and underwater vehicles operated on the Charles River.
http://ocw.mit.edu/courses/mechanical-engineering/2-s998-marine-autonomy-sensing-and-communications-spring-2012
Spring2012Benjamin, MichaelSchmidt, Henrik2013-02-28T10:19:22+05:002.S998en-USautonomous marine vehiclesocean environmentsunderwater vehiclesacoustic communicationundersea navigationenvironmental sensingacoustical, biological, and chemical sensingmodeling and controlsimulation environmentsprogrammingC++MOOSMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm2.57 Nano-to-Macro Transport Processes (MIT)Parallel treatments of photons, electrons, phonons, and molecules as energy carriers, aiming at fundamental understanding and descriptive tools for energy and heat transport processes from nanoscale continuously to macroscale. Topics include the energy levels, the statistical behavior and internal energy, energy transport in the forms of waves and particles, scattering and heat generation processes, Boltzmann equation and derivation of classical laws, deviation from classical laws at nanoscale and their appropriate descriptions, with applications in nano- and microtechnology.
http://ocw.mit.edu/courses/mechanical-engineering/2-57-nano-to-macro-transport-processes-spring-2012
Spring2012Chen, Gang2013-01-16T13:32:47+05:002.572.570en-USnanotechnologynanostructureenergyenergy transportenergy storageenergy carriersquantum mechanicsquantum physicsthermoelectricssemiconductor physicssolar cellswaves and particlesMIT OpenCourseWare http://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 http://ocw.mit.edu/terms/index.htm