MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-SPRING 2014-A. FREIRE
Course Plan (tentative)
Date Topic
Sections in text
Jan 8 10 1D wave eqn
1, 2
13 15 17 1D wave eqn
3, 4, 5
22 24 linearity,
uniqueness
6, 7
27 29 31 Laplace, heat eqn: uniqueness
10, 11
Feb 3 5 7 maximum principle
12, 13 Test 1
10 12 14 eigenfn expansions
14, 15, 16
17 19 21 conv. of Fourier series
17, 18, 19
24 26 28 PDE via Fourier series
22, 23,
24
Mar 3 5 7 Continuous data, damped WE
25, 26
10 12 14 Non-hom problems via Gr fn
29, 30
17 19 21 spring break
24 26 28 multiple Fourier series
31 to 35 Test 2
Apr wk 12, 13, 14, 15 (Apr 18: no class)
Ch. VII: Sturm-Liouville, general eigenfunction expansions (2 weeks)
Ch. X: Fourier transform, whole-space problems (2 weeks)
Ch.??? Schroedinger equation (2 weeks)