| Week |
Dates |
Topic |
Readings |
| Lecture Notes and |
| Supplemental Materials |
|
Homeworks |
| 1 |
Jan. 6-8 |
| Introduction |
| Separable equations |
|
2.1, 2.2 |
|
|
| 2 |
Jan. 11-15 |
| Techniques for simple |
| 1st order ODEs |
|
2.3, 2.4, 2.6 |
Solving 1st order ODEs |
|
| 3 |
Jan. 18-22 |
|
4.2, 4.3 |
|
|
| 4 |
Jan. 25-29 |
| Non-homogeneous |
| linear ODEs |
|
4.4, 4.5, 4.6 |
|
|
| 5 |
Feb. 1-5 |
| Variable coefficient |
| equations |
|
4.7, 4.9 |
Solving 2nd order ODEs |
|
| 6 |
Feb. 8-12 |
|
7.2, 7.3, 7.4 |
|
|
| 7 |
Feb. 22-26 |
|
7.5, 7.6 |
|
|
| 8 |
Mar. 1-5 |
| Convolution and the |
| Dirac Delta function |
|
7.7, 7.8 |
|
|
| 9 |
Mar. 8-12 |
| Linear systems and |
| Power series solutions |
|
7.9, 8.2, 8.3 |
The method of Laplace
Transform |
|
| 10 |
Mar. 15-19 |
| More power series |
| solutions |
|
8.4, 8.5 |
The method of series expansion |
|
| 11 |
Mar. 22-26 |
| PDE: separation of |
| variables |
|
10.1, 10.2 |
|
|
| 12 |
Mar. 29-31 |
|
10.3, 10.4 |
|
|
| 13 |
Apr. 7-9 |
| PDE: Fourier method |
| and the heat equation |
|
10.4, 10.5 |
Simple Partial Differential
Equations |
|
| 14 |
Apr. 12 |
|
|
|
|