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 | 12/9 | 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