Math 2150 - Ordinary Differential Equations

Syllabus:

syllabus

Study Guides:

Test 1 study guide
Test 2 study guide.
Also, for test 2, here are some "practice tests" to study efficiently.

Test Solutions:

Test 1 and solutions

Page of notes for test ("Cheat sheet" 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. Do these problems. Here are the solutions.
HW - Topic 1	Do these problems. Here are the solutions.
HW - Topic 2	Do these problems. Here are the solutions.
HW - Topic 3	Do these problems. Here are the solutions.
HW - Topic 4	Do these problems. Here are the solutions.
HW - Topic 5	Do these problems. Here are the solutions.
HW - Topic 6	Do these problems. Here are the solutions.
HW - Topic 7	Do these problems. Here are the solutions.
HW - Topic 8	Do these problems. Here are the solutions.
HW - Topic 9	Do these problems. Here are the solutions.
HW - Topic 10	Do these problems. Here are the solutions.
HW - Topic 11	Do these problems. Here are the solutions.
HW - Topic 12	Do these problems. Here are the solutions.
HW - Topic 13	Do these problems. Here are the solutions.

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 - no 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 12pm - 2pm

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