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The class meets for lecture on Monday, Wednesday, and Friday. This schedule contains the material covered in each lecture.
It is generally one chapter per lecture.
This schedule is tentative, and may be adjusted as necessary.
| Week |
Date |
Chapters |
Topics |
Homework assignment |
| 1 |
9/23 - 9/27 |
1, 2, 3 |
Intro to ODE's, first order ODE's, dynamic perspective
|
Homework 1 (due 10/2)
|
| 2 |
9/30 - 10/4 |
4, 5, 6 |
Phase lines, complex numbers, second order linear ODEs
|
Homework 2 (due 10/9)
|
| 3 |
10/7 - 10/11 |
7, 8, 9 |
Linear ODE systems, eigenvalues, 2D linear ODE systems
|
Homework 3 (due 10/16)
|
| 4 |
10/14 - 10/18 |
10, Review, 11 |
Inhomogeneous first and second order linear ODE's
|
Homework 4 (due 10/23)
|
| 5 |
10/21 - 10/25 |
12, 13, 14 |
Chaos, nonlinear ODE systems, linearization, monotonic quantities
|
Homework 5 (due 10/30)
|
| 6 |
10/28 - 11/1 |
15, 16, 17 |
Power series methods, numerical methods, stiff ODE's
|
Homework 6 (due 11/6)
|
| 7 |
11/4 - 11/8 |
18, 19, 20 |
Intro to PDE's, separation of variables: heat equation, Fourier series: periodic functions
|
Homework 7 (due 11/13)
|
| 8 |
11/11 - 11/15 |
21, 22, 23 |
Solving PDE's: separation of variables and Fourier series, exponential Fourier series, transform perspective
|
Homework 8 (due 11/20)
|
| 9 |
11/18 - 11/22 |
24, 25, 26 |
Fourier transform, Solving PDE's with Fourier transform
|
Homework 9 (due 12/4)
|
| 10 |
12/2 - 12/6 |
27, Final review 1, Final review 2 |
Applications of Fourier analysis (Chapter 27 not on final)
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