|
This schedule is tentative, and may be adjusted as necessary.
| Week |
Date |
Chapters |
Topics |
Homework Assignment |
| 1 |
9/22 – 9/25 |
1, 2 |
Intro to ODE's, First order ODE's
|
Homework 1 (due 9/30) |
| 2 |
9/28 – 10/2 |
3, 4, 5 |
First order ODE's, phase lines, complex numbers
|
Homework 2 (due 10/7) |
| 3 |
10/5 – 10/9 |
6, 7, 8 |
Second order linear ODE's, linear ODE systems, eigenvalues
|
Homework 3 (due 10/14) |
| 4 |
10/12 – 10/16 |
9, 10, 11 |
2D linear ODE systems, inhomogeneous first and second order linear ODE's
|
Homework 4 (due 10/21) |
| 5 |
10/19 – 10/23 |
12, 13, 14 |
Chaos, nonlinear ODE systems, linearization, monotonic quantities
|
Homework 5 (due 10/28) |
| 6 |
10/26 – 10/30 |
15, 16, 17 |
Power series methods, numerical methods, stiff ODE's
|
Homework 6 (due 11/4) |
| 7 |
11/2 – 11/6 |
18, 19, 20 |
Intro to PDE's, separation of variables: heat equation, Fourier series: periodic functions
|
Homework 7 (due 11/11) |
| 8 |
11/9 – 11/13 |
21, 22, 23 |
Solving PDE's: separation of variables and Fourier series, exponential Fourier series, transform perspective
|
Homework 8 (due 11/18) |
| 9 |
11/16 – 11/20 |
24, 25, 26 |
Fourier transform, Solving PDE's with Fourier transform
|
Homework 9 (due 12/2) |
| 10 |
11/30 – 12/4 |
27, Final review |
Applications of Fourier analysis (Chapter 27 not on final)
|
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