Syllabus:
- << the syllabus will go here >>
Study Guides:
- << study guides will go here >>
Test Solutions:
- << test solutions will go here >>
Page of notes for test ("Cheat sheet" for test):
- Here is a formula sheet that I will give you on each test.
My notes for the class:
These are notes I use to lecture from.
LOOK BELOW IN THE CALENDAR FOR THE DAILY NOTES FROM CLASS.
- 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
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 | We are SKIPPING 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 |
Schedule and lecture notes:
week | Monday | Wednesday |
1 | 8/20 - section 1 notes section 1 notes | |
2 | 8/25 - section 1 notes | 8/27 - section 1 notes section 1 notes |
3 | 9/1 - HOLIDAY | 9/3 - section 1 notes section 1 notes |
4 | 9/8 - section 1 notes section 1 notes | 9/10 - section 1 notes section 1 notes |
5 | 9/15 - section 1 notes section 1 notes | 9/17 - section 1 notes section 1 notes |
6 | 9/22 - section 1 notes section 1 notes | 9/24 - section 1 notes section 1 notes |
7 | 9/29 - section 1 notes section 1 notes | 10/1 - section 1 notes section 1 notes |
8 | 10/6 - section 1 notes section 1 notes | 10/8 - section 1 notes section 1 notes |
9 | 10/13 - section 1 notes section 1 notes | 10/15 - section 1 notes section 1 notes |
10 | 10/20 - section 1 notes section 1 notes | 10/22 - section 1 notes section 1 notes |
11 | 10/27 - section 1 notes section 1 notes | 10/29 - section 1 notes section 1 notes |
12 | 11/3 - section 1 notes section 1 notes | 11/15 - section 1 notes section 1 notes |
13 | 11/10 - section 1 notes section 1 notes | 11/12 - section 1 notes section 1 notes |
14 | 11/17 - section 1 notes section 1 notes | 11/19 - section 1 notes section 1 notes |
Thanksgiving break | 11/24 - HOLIDAY | 11/26 - HOLIDAY |
15 | 12/1 - section 1 notes section 1 notes | 12/3 - section 1 notes section 1 notes |
Finals week | 12/8 - Section 1 Final | 12/11 - Section 2 Final |
Optional textbooks:
- Lectures on Ordinary Differential Equations, by Hendrata and Subramanian.
- A first course in differential equations, classic 5th edition, by Zill.
Free online notes and books:
- Elementary differential equations by William Trench
- Math 204 at the University of Victoria
- Gabriel Nagy book from Michigan State University
- Paul Dawkins online notes