New courses in Mathematics from MIT OpenCourseWare, provider of free and open MIT course materials. http://ocw.mit.edu/courses/mathematics 2012-05-24T10:22:31+05:00 MIT OpenCourseWare http://ocw.mit.edu en-US Content 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 The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering.<br clear="both" style="clear: both;"/> <br clear="both" style="clear: both;"/> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:cf6b57d0b56213121017b020537915b6:EyJROlAWwEY07ZaOZIa2pspoz55SQCIzn5GRQL4522OWFpovg88Jjgh6S9ZjsQFaUL9ehbl9LIMvqA%3D%3D'><img border='0' title='Email this Article' alt='Email this Article' src='http://images.pheedo.com/images/mm/emailthis.png'/></a> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:488eddb2208a178e375a51100d469c7a:QLIF%2BxsHhRBwrCkHDkeGwD7DswJxLP3a96%2BurY77xOKW%2BJVPANuU9%2B8THlLgeTxIJeqvooxmzdAwiOQ%3D'><img border='0' title='Add to Facebook' alt='Add to Facebook' src='http://images.pheedo.com/images/mm/facebook.gif'/></a> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:d57f69071922cc1ba1117e0f515f5f1e:B5b%2BzyJyAxU41PwXvh1o9hY%2BQBQvjPanj3hOYnSDtLwKPzRVGTG913rkwcG77Ruql3NDScZKAYB658Y%3D'><img border='0' title='Add to Twitter' alt='Add to Twitter' src='http://images.pheedo.com/images/mm/twitter.png'/></a> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:4128e586cef8b156ad03fa136b2d0d84:K8eAokZk7snogeiUyDmhsFXEoR7t3%2BolxvsLSP6%2F9No00B2y9d90f7H%2F5Zmntevy2PXbip6KoidJvA%3D%3D'><img border='0' title='Add to digg' alt='Add to digg' src='http://images.pheedo.com/images/mm/digg.gif'/></a> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:3a593c79b2b8686ec7a4e5dde23945d3:PuqZLxIFFY5NlpgQgaD26awytv4AI%2BHQFDOpZr%2FK7xNhhHr7ufejDXifR42IKOW7RWDO%2B4TQL7yDVA%3D%3D'><img border='0' title='Add to Google' alt='Add to Google' src='http://images.pheedo.com/images/mm/google.png'/></a> <br clear="both" style="clear: both;"/> <a href="http://ads.pheedo.com/click.phdo?s=b4a935f96aa42aefe0fdb0fc6c70db61&p=1"><img alt="" style="border: 0;" border="0" src="http://ads.pheedo.com/img.phdo?s=b4a935f96aa42aefe0fdb0fc6c70db61&p=1"/></a> <img alt="" height="0" width="0" border="0" style="display:none" src="http://tags.bluekai.com/site/5148"/> http://www.pheedcontent.com/click.phdo?i=b4a935f96aa42aefe0fdb0fc6c70db61 http://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011 Mattuck, Arthur Miller, Haynes Orloff, Jeremy Lewis, John 2012-02-08T14:08:08+05:00 18.03SC en-US Ordinary Differential Equations ODE modeling physical systems first-order ODE's Linear ODE's second order ODE's second order ODE's with constant coefficients Undetermined coefficients variation of parameters Sinusoidal signals exponential signals oscillations damping resonance Complex numbers and exponentials Fourier series periodic solutions Delta functions convolution Laplace transform methods Matrix systems first order linear systems eigenvalues and eigenvectors Non-linear autonomous systems critical point analysis phase plane diagrams MIT OpenCourseWare http://ocw.mit.edu Content 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 This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.<br clear="both" style="clear: both;"/> <br clear="both" style="clear: both;"/> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:50a5678ce5abf12ea5d76f0a8fbd1b2a:ez%2BtMYhnzOA%2BwgG5DUv%2FtDseX1udNeVYXaOWA14uUq%2Fen2S0zrd7P2kdrcS%2FjGmFe2pqA5PEzlWfjQ%3D%3D'><img border='0' title='Email this Article' alt='Email this Article' src='http://images.pheedo.com/images/mm/emailthis.png'/></a> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:c7cfe7e5cb716e13993d769114112741:a0VoMubSwwqg%2B00GMxBBkZZjl5yh%2BYiGi9I%2FkKQZHey3uLi3Vhv73nUGmx0p3WA6nLx9HnPwhQBXCts%3D'><img border='0' title='Add to Facebook' alt='Add to Facebook' src='http://images.pheedo.com/images/mm/facebook.gif'/></a> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:a1fa45ae8840755c8ca4ff632d7f429e:CfhfCFxYhLQDRvpiyW%2BMiPsExLF7aZ1Txny99%2FGqjKsSycM0m%2BsTacuYWDaElAL9D0Mpbf9ih6uIWDo%3D'><img border='0' title='Add to Twitter' alt='Add to Twitter' src='http://images.pheedo.com/images/mm/twitter.png'/></a> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:3ac7a5654c4787a4adbb1b29b8b49124:gVEXz1PZxRzy2l07FKYTMZ2nmUYePiH0uc7buFyTlstF8TYYsPCqxWorz0IxvAOvSNyS6H7PddiTeQ%3D%3D'><img border='0' title='Add to digg' alt='Add to digg' src='http://images.pheedo.com/images/mm/digg.gif'/></a> <a style='font-size: 10px; color: maroon;' href='http://www.pheedcontent.com/hostedMorselClick.php?hfmm=v3:2bcb31eaf4d354e9a84b6a1df3fca0a2:aW4BQShRWfzG87UO1LeGe6zVqf%2BAtDEmHXFvrBUCjF%2FODzkV%2FiAyzZXSkzuHN3Tao2PLP7PuEPvUDw%3D%3D'><img border='0' title='Add to Google' alt='Add to Google' src='http://images.pheedo.com/images/mm/google.png'/></a> <br clear="both" style="clear: both;"/> <a href="http://ads.pheedo.com/click.phdo?s=ce22b1105365c808754de63fb1647b00&p=1"><img alt="" style="border: 0;" border="0" src="http://ads.pheedo.com/img.phdo?s=ce22b1105365c808754de63fb1647b00&p=1"/></a> <img alt="" height="0" width="0" border="0" style="display:none" src="http://tags.bluekai.com/site/5148"/> http://www.pheedcontent.com/click.phdo?i=ce22b1105365c808754de63fb1647b00 http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011 Strang, Gilbert 2012-01-24T16:18:50+05:00 18.06SC en-US matrix theory linear algebra systems of equations vector spaces determinants eigenvalues similarity positive definite matrices least-squares approximations stability of differential equations networks Fourier transforms Markov processes MIT OpenCourseWare http://ocw.mit.edu Content 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 This course is a continuation of 18.014. It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. 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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 This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. 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