MIT OpenCourseWare: New Courses in MathematicsNew courses in Mathematicshttp://ocw.mit.edu/OcwWeb/Mathematics/index.htm2008-09-04MIT 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/OcwWeb/web/terms/terms/index.htm18.100A Analysis I (MIT)Two options offered, both covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. Both options show the utility of abstract concepts and teach understanding and construction of proofs. <I>Option A</I> chooses less abstract definitions and proofs, and gives applications where possible. <I>Option B</I> is more demanding and for students with more mathematical maturity. Places greater emphasis on point-set topology.http://ocw.mit.edu/OcwWeb/Mathematics/18-100AFall-2007/CourseHome/index.htmMattuck, Arthur2008-08-28T10:12:43-04:0018.100Aen-USMathematicsAnalysis and Functional Analysisn-spacepoint-set topologyconstruction of proofsutility of abstract conceptsinterchange of limit operationsuniformitysequences and series of functionsRiemann integraldifferentiabilitycontinuityconvergence of seriesconvergence of sequencesmathematical analysisMIT 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/OcwWeb/web/terms/terms/index.htmSupport OCW - DONATE NOWYou look to OCW for great mathematics courses like:
18.310C Principles of Applied Mathematics
18.02 Multivariable Calculus
18.098 Street-Fighting Mathematics
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]]>https://giving.mit.edu/givenow/ocw/MakeGift.dynKate James2008-08-25T11:59:59-04:00en-USMIT 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/OcwWeb/web/terms/terms/index.htm18.310C Principles of Applied Mathematics (MIT)Principles of Applied Mathematics is a study of illustrative topics in discrete applied mathematics including sorting algorithms, information theory, coding theory, secret codes, generating functions, linear programming, game theory. There is an emphasis on topics that have direct application in the real world. This course was recently revised to meet the MIT Undergraduate Communication Requirement (CR). It covers the same content as 18.310, but assignments are structured with an additional focus on writing.http://ocw.mit.edu/OcwWeb/Mathematics/18-310CFall-2007/CourseHome/index.htmKleitman, DanielShor, Peter2008-06-13T12:04:44-04:0018.310Cen-USMathematicsApplied Mathematicsgame theorylinear programminggenerating functionssecret codescoding theoryinformation theorysorting algorithmsMIT 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/OcwWeb/web/terms/terms/index.htm18.02 Multivariable Calculus (MIT)This course covers differentiation and integration of functions of one variable, with applications. Topics in differentiation include the definition of differentiation, rules, application to graphing, rates, approximations, and extremum problems. Topics in indefinite integration include separable first-order differential equations and the fundamental theorem of calculus. Other topics covered include applications of integration to geometry and science, elementary functions, techniques of integration, polar coordinates, L'Hôpital's rule, improper integrals, and infinite series: geometric, p-harmonic, simple comparison tests, and formal power series for some elementary functions.http://ocw.mit.edu/OcwWeb/Mathematics/18-02Fall-2007/CourseHome/index.htmAuroux, Denis2008-06-13T12:02:35-04:0018.02en-USMathematicsTheoretical and Mathematical Physicsapplicationsdivergence theorem Stokes' theoremsurface integralstriple integralsGreen's theoremconservative fieldsexact differentialline integralsdouble integralsoptimization techniquesgradientpartial differentiationscalar functionspace motionvector-valued functionmatricesmatrixdeterminantsvector algebracalculus of several variablescalculusMIT 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/OcwWeb/web/terms/terms/index.htm18.098 Street-Fighting Mathematics (MIT)For undergraduates desiring credit for studies or for special individual reading on an undergraduate level on a P/D/F basis during IAP. Specific programs and credit arranged in consultation with individual faculty members and subject to departmental approval.http://ocw.mit.edu/OcwWeb/Mathematics/18-098January--IAP--2008/CourseHome/index.htmMahajan, Sanjoy2008-05-27T10:03:51-04:0018.0986.099en-USElectrical Engineering and Computer ScienceMathematics, Generaldifferentiationintegrationtaking out the big partmusical intervalslogarithmssquare rootssummationoperatorsanalogypictorial proofspendulumfluid mechanicsdragdiscretizationdimensional analysisextreme-cases reasoningMathematicsMIT 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/OcwWeb/web/terms/terms/index.htm18.085 Computational Science and Engineering I (MIT)This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications. Note: This course was previously called "Mathematical Methods for Engineers I". http://ocw.mit.edu/OcwWeb/Mathematics/18-085Fall-2007/CourseHome/index.htmStrang, Gilbert2008-03-28T01:12:49-04:0018.085en-USMathematicsEngineering mathematicsMathematics, Generalconvolutiondiscrete Fourier transformFourier seriesboundary-value problemspotential flowLaplace's equationdifferential equations of equilibriumLagrange multipliersnetworkslinear algebraMIT 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/OcwWeb/web/terms/terms/index.htm