Differential Equations
Math 244, Fall 2024

Textbook

Image for textbook

Image for textbook

Same book as last semester. There are a couple of different versions of the 9th edition (see below).

Elementary Differential Equations and Boundary Value Problems, by William Boyce and Richard DiPrima (9th Edition)

TEXT NOTE: This is NOT the current version, which is the 12th edition. There are a couple of different versions of the text; here are the links to Amazon.com for the information:
With Boundary Value Problems (Used copies should run under $10.00)
The text without Boundary Value Problems (Link removed- couldn't find a good used copy for a reasonable price).
There also is an optional Student Solution Manual Available (typically, these have more detailed solutions to odd numbered problems)
We'll generally be covering topics from Chapters 1-7 except Chapter 4. Also, topics from Chapter 7, 9 as time permits.

Beginning Material

Links by Section

Video lectures from a past semester (Optional- This is here primarily for a backup in case you want to see what we did in class again. You shouldn't rely on this however since it is from a past semester.
Review Material - Read these at your leisure.

Chapter 1
- Practice Problems (used in the quiz below)
- Direction Fields example
- Take Home Quiz 1: Turn in the solutions to the following problems from the Practice Problems handout. \#1 in Partial Fractions, \#1 in Integration by Parts, \#1(a,b), 2(a,b), 3(c,d), 4(c,d), 5 from the section on algebra. Write your solutions up NEATLY and upload them to Canvas. Due: Monday Sep 4th at 11:59PM.
Chapter 2
- Homework to Replace 2.3
- Homework solutions
Chapter 3
Section 3.8:
- Using a Complex Ansatz (not on the exam, but nice to know if you have some time).
- Notes to replace 3.8
- Solutions to the practice problems, 3.8
- (Youtube clip) Video from MIT- Beating and Resonance (About 2 minutes)
- Watch a wine glass shatter. (Less than 1 minute)
- (Youtube clip) The Tacoma Narrows Bridge Collapse (Or was it resonance?) (About 6 minutes)
Chapter 6 - The Laplace Transform
- A table of Laplace transforms
- Two excellent videos about the convolution:
  - 3Blue1Brown: But what is a convolution?
  - MIT- Convolutions in Image Processing (the person behind 3Blue1Brown)

Exam Links

Other Links

An online direction field plotter. You'll need it for 1.1, and in general for plotting the direction fields for first order DEs.
A good plotter for 2x2 systems (ch 7, 9)