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 |
|
|
|
|