Math 2150 - Ordinary Differential Equations

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. Do these problems. Here are the solutions.
HW - Topic 1	Do these problems. Here are the solutions.
HW - Topic 2	We are SKIPPING topic 2. This topic is about when first order equations have unique solutions. Check it out if you are interested in more theoretical matters. 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.

Schedule and lecture notes:

week

Monday

Wednesday

1

1/22 -

section 1 notes

section 2 notes

2

1/27 -

section 1 notes

section 2 notes

1/29 -

section 1 notes

section 2 notes

3

2/3 -

section 1 notes

section 2 notes

2/5 -

section 1 notes

section 2 notes

4

2/10 -

section 1 notes

section 2 notes

2/12 -

section 1 notes

section 2 notes

5

2/17 -

section 1 notes

section 2 notes

2/19 -

section 1 notes

section 2 notes

6

2/24 -

section 1 notes

section 2 notes

2/26 -

section 1 notes

section 2 notes

7

3/3 -

section 1 notes

section 2 notes

3/5-

section 1 notes

section 2 notes

8

3/10 -

section 1 notes

section 2 notes

3/12 -

section 1 notes

section 2 notes

9

3/17 - TEST 1

3/19 -

section 1 notes

section 2 notes

10

3/24 -

section 1 notes

section 2 notes

3/26 -

section 1 notes

section 2 notes

SPRING BREAK

3/31 - HOLIDAY

4/2 - HOLIDAY

11

4/7 -

section 1 notes

section 2 notes

4/9 -

section 1 notes

section 2 notes

12

4/14 -

section 1 notes

section 2 notes

4/16 -

section 1 notes

section 2 notes

13

4/21 -

section 1 notes

section 2 notes

4/23-

section 1 notes

section 2 notes

14

4/28 - TEST 2

4/30 -

section 1 notes

section 2 notes

15

5/5 -

section 1 notes

section 2 notes

5/7 -

section 1 notes

section 2 notes

Finals week

5/12 -

5/14 -

Section 2 Final - 12:00-2:00

Section 1 Final - 2:30-4:30

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