Syllabus:
Study Guides:
- Test 1 study guide
- Test 2 study guide (still working on this one)
- Final study guide (still working on this one)
Page of notes for test:
- Formulas that I will give you on the test.
Optional textbooks:
- Lectures on Ordinary Differential Equations, by Hendrata and Subramanian.
- A first course in differential equations, classic 5th edition, by Zill.
Free online books:
- Elementary differential equations by William Trench
- Math 204 at the University of Victoria
- Gabriel Nagy book from Michigan State University
Homework:
| HW - Topic 0 |
HW 0 is optional. It's a review of derivatives and integration. We use these techniques a lot throughout the course so it would be good to review if you need to do so. |
| HW - Topic 1 |
|
| HW - Topic 2 |
|
| HW - Topic 3 |
|
| HW - Topic 4 |
|
| HW - Topic 5 |
|
| HW - Topic 6 |
|
| HW - Topic 7 |
|
| HW - Topic 8 |
|
| HW - Topic 9 |
|
| HW - Topic 10 |
|
| HW - Topic 11 |
|
| HW - Topic 12 |
|
| HW - Topic 13 |
Fall 2024 - Calendar and Notes
|
Week |
Monday | Wednesday |
|
1 |
|
8/21 - lecture notes |
|
2 |
8/26 - lecture notes |
8/28 - lecture notes |
|
3 |
9/2 - HOLIDAY |
9/4 - lecture notes |
|
4 |
9/9 - lecture notes |
9/11 - lecture notes |
|
5 |
9/16 - lecture notes |
9/18 - lecture notes |
|
6 |
9/23 - lecture notes |
9/25 - lecture notes |
|
7 |
9/30 - lecture notes |
10/2 - lecture notes |
|
8 |
10/7 - lecture notes |
10/9 - TEST 1 |
|
9 |
10/14 - lecture notes |
10/16 - lecture notes |
|
10 |
10/21 - lecture notes |
10/23 - lecture notes |
| 11 | 10/28 - lecture notes | 10/30 - lecture notes |
|
12 |
11/4 - lecture notes |
11/6 - lecture notes |
|
13 |
11/11 - HOLIDAY |
11/13 - TEST 2 |
|
14 |
11/18 - lecture notes |
11/20 - lecture notes |
|
|
11/25 - HOLIDAY |
11/27 - HOLIDAY |
|
15 |
12/2 - lecture notes |
12/4 - lecture notes |
| Finals week |
|
12/11 - Final exam |
My notes for the class:
These are the notes I'm using to teach the class in case you want to look ahead.
Above, in the calendar, are the notes for each day for this semester.
- Topic 0 - Review of integration and differentiation
- Topic 1 - What is a differential equation?
- Topic 2 - Theory of first order ODEs
- Topic 3 - First order linear ODEs
- Topic 4 - First order separable ODEs
- Topic 5 - First order exact ODEs
- Topic 6 - Theory of second order linear ODEs
- Topic 7 - Second order homogeneous constant coefficient ODEs
- Topic 8 - Second order ODEs - undetermined coefficients
- Topic 9 - Second order ODEs - variation of parameters
- Topic 10 - Second order ODEs - reduction of order
- Topic 11 - Review of power series
- Topic 12 - Power series solutions to linear ODEs
- Topic 13 - Eulers method
- Topic 14 - Laplace transforms