Differential Equations
Math 244, Spring 2007

Textbook for Spring 2007

• Elementary Differential Equations and Boundary Value Problems, by William Boyce and Richard DiPrima (8th Edition)
  

  TEXT NOTE: If you're getting this on your own, you may choose to get the version without Boundary Value Problems (only a few dollars difference). This web page is: Alternate Title Here In either event be sure that you get the 8th Edition, and not the 7th (there is a big difference!).

First Day

• Course Syllabus
• Course Calendar (as of Dec 06)
• Homework to Exam 1
• Homework to Exam 2
• Homework to Exam 3
• Homework: Week of April 23d

Homework Solutions and Notes

Chapter 1

• Solutions for 1.1 and 1.2
• Practice with Hyperbolic Functions (Before Homework 1.3)
• Solutions to the Practice Problems
• Homework Solutions to 1.3

Chapter 2

• Integration by parts via a Table
• Homework Solutions, Section 2.1
• Homework Solutions, Section 2.2
• More Integration Practice
• Solutions to the Integration Practice- This is a Maple file
• Homework Solutions, Section 2.3
• Homework Solutions, Section 2.4
• Section 2.5:
• Solutions to Section 2.5
• Graphs for Section 2.5, Page 1
• Graphs, Page 2
• Graphs, Page 3
• Homework Solutions, Section 2.6

Chapter 3

• Cramer's Rule to solve systems
• Solutions to practice problems, Cramer's Rule
• Selected solutions, 3.2
• Selected solutions, 3.3
• A Primer on Complex Numbers
• Selected solutions, 3.4
• Selected solutions, 3.5
• Selected solutions, 3.6
• Maple file for Section 3.6
• Selected solutions, 3.8

Chapter 6, Laplace Transforms

• Table of Laplace Transforms
• The take home quiz (Quiz 6)
• Take home quiz solutions
• Solutions, Section 6.3
• Solutions, Section 6.4
• Maple Worksheet, Section 6.4
• Solutions, Section 6.5
• Maple Worskheet, Section 6.5
• Solutions, Section 6.6
• Problem 1(c), Section 6.6 (this is an image file)

Chapter 5, Power Series

• Solutions, Section 5.1
• Solutions, Section 5.2
• Maple Worksheet, Section 5.2
• Solutions, Section 5.3

Partial Chapter 7 and Chapter 9

• Solutions to homework handed out in class
• Eigenvalues Summarized with Examples
• Solving x'=Ax Summarized with Examples.
• The Poincare Diagram (for classifying the stability of linear systems)
• Last Handout: Linearization and Summary Homework Problems
• Handout on Competing Species, Predator-Prey, the Lorenz Equations, and Review Questions
• Maple Worksheet with the commands used in the Handout.
• Maple Worksheet with the direction fields from the last set of exercises.
• SOLUTIONS to the Homework

Exam Materials

1. Exam 1
• Summary of Ch. 1-2
• Sample Review Questions
• Review Solutions
2. Exam 2 (Over Chapter 3)
• Summary of techniques, Chapter 3
• Summary of theory, Chapter 3
• Sample Review Questions, Chapter 3
• Sample Solutions
3. Exam 3 (Chapter 6 and 5.1-5.3)
   • Review Questions, Exam 3
   • Review Solutions, Exam 3
4. Final Exam
• Final Review Questions UPDATED 8PM Tuesday May 8
• Review Solutions UPDATED 8PM Tuesday May 8

Maple Stuff

• New to Maple? Read This First...
• Maple Worksheet for Section 1.1 Homework.
  To run it, RIGHT-CLICK your mouse on this link, and choose "Save Link As...".
  Download the file to your computer, then open Maple and find this file.
• Maple Worksheet for Section 2.1
• Maple Worksheet for Section 2.2