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source: James Cook 2016年8月24日
Elementary PDEs with applications to Physics
These are from Fall 2016 semester. This course will examine the standard introductory PDEs; the heat, wave and Laplace equations. We'll see how Fourier decompositions are used to match initial conditions. We also consider characteristics, Green's functions, Laplace and Fourier transforms. I plan to work from Logan's Third Edition of Applied Partial Differential Equations. Also, the texts of Haberman, Weinberg and Gustafson. I also used Nagle Saff and Snider to prepare the notes I sometimes reference. See http://www.supermath.info/DifferentialEqns.pdf for my elementary differential equations notes. The last chapter is on PDEs, I'll cover it in these videos. Basically, we'll be bouncing from book to book as the semester unfolds.
Intro to PDEs: standard BVP solutions, homogenous bounded case 58:40
heat equation solution technique introduced 48:45
solution to wave equation, 8-29-2016 57:52
L3, Laplace Equation on rectangle, 9-2-16, part 1 59:51
L3, Laplace Equation on rectangle, 9-2-16, part 2 12:02
L4, a word on Dirac Delta "function", 9-5-16, part 1 31:26
L4, why the delta in Dirac Delta "function", 9-5-16, part 2 2:36
L4, quantum mechanics and separation, just the basic idea, 9-5-16 30:09
L5, Fourier Series, full, sine and cosine, 9-12-16, part 1 59:51
L5, Fourier Series, full, sine and cosine, 9-12-16, part 2 15:18
PDEs and Physics, quantum mechanical this and that, 9-30-16, part 1 59:51
PDEs and Physics, quantum mechanics basics, part 2, date unsure 9:20
PDEs 9-16-16 part 1 59:51
PDEs 9-16-16 part 2 18:00
PDEs 9-26-16 part 1 59:51
PDEs 9-26-16 part 2 18:50
PDEs and Physics, whirlwind intro to complex calculus, 10-3-16, 59:51
PDEs and physics, complex madness part 2, 10-3-16 13:05
PDEs 10-10-16 part 1 59:51
PDEs 10-10-16 part 2 7:25
PDEs 10-14-16 part 1 59:51
PDEs 10-14-16 part 2 21:20
PDEs 10-17-16 part 1 59:51
PDEs 10-17-16 part 2 24:25
PDEs 10-24-16 part 1 7:15
PDEs 10-24-16 part 2 54:47
PDEs 10-28-16 part 1 59:51
PDEs 10-28-16 part 2 2:28
PDEs 11-7-16 part 1 59:51
PDEs 11-7-16 part 2 13:18
PDEs 11-11-16 part 1 59:51
PDEs 11-11-16 part 2 19:31
PDEs 11-14-16 part 1 59:51
PDEs 11-11-14 part 2 8:40
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