| Date |
Topic |
| Tues 1/20 |
1.1/1.2 Intro, simple PDEs |
| Thurs 1/22 |
1.2/1.3 Important 2nd-order PDEs |
| Tues 1/27 |
1.3/1.4 Initial and boundary conditions |
| Thurs 1/29 |
1.5/1.6 Well-posedness, classification of 2nd-order PDEs |
| Tues 2/3 |
2.1 Wave equation |
| Thurs 2/5 |
2.2 More wave equation |
| Tues 2/10 |
2.3 Diffusion equation |
| Thurs 2/12 |
2.4/2.5 More diffusion equation |
| Tues 2/17 |
4.1 Dirichlet condition |
| Thurs 2/19 |
4.2/4.3 Neumann and Robin conditions |
| Tues 2/24 |
FIRST MIDTERM (IN CLASS) |
| Thurs 2/26 |
5 Fourier analysis |
| Tues 3/2 |
5 Fourier analysis |
| Thurs 3/4 |
5 Fourier analysis |
| Tues 3/9 |
SPRING BREAK |
| Thurs 3/11 |
| Tues 3/16 |
5 Fourier analysis |
| Thurs 3/18 |
5 Fourier analysis |
| Tues 3/23 |
5 Fourier analysis |
| Thurs 3/25 |
NO CLASS MEETING |
| Tues 3/30 |
6.1 Laplace equation |
| Thurs 4/1 |
6.2/6.3 More Laplace, Poisson's formula |
| Tues 4/6 |
10.1 Fourier analysis in more dimensions |
| Thurs 4/8 |
10.2 Drums |
| Tues 4/13 |
SECOND MIDTERM (TAKE-HOME) |
| Thurs 4/15 |
PDEs and music |
| Tues 4/20 |
More PDEs and music |
| Thurs 4/22 |
12.1 Distributions |
| Tues 4/27 |
12.3 Fourier transforms |
| Thurs 4/29 |
14.3 Calculus of variations |
| |
TAKE-HOME FINAL |