Differential Equations
Math 244, Fall 2009

Textbook for Fall 2009

• 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). Links on Amazon.com:

• With Boundary Value Problems
  
• The text without Boundary Value Problems (seems to be more expensive?)
• There also is a Student Solution Manual Available (typically, these have more detailed solutions to odd numbered problems)

Syllabus / Calendar / HW Schedules

• Course Syllabus
• Course Calendar
• Homework to Exam 1
• Homework to Exam 2
• Homework to Exam 3 (to Thanksgiving Break)
• Homework to end the course: See the links below for Chapter 7/9.

Handouts by Chapter

• Chapters 1-2
  1. Direction Fields handout Solutions to Dir Fields handout>
  2. Notes about Hyperbolic functions (do before Sect 1.3)
  3. Integral Practice Problems (with hints)
  4. Direction Fields for 2.1, exercises 1, 3, 5, 7.
  5. Direction Fields for Homogeneous Eqns, 2.2
  6. Direction Fields for Exercises 9, 11 and 16, Sect 2.2
  7. Overhead for Example in 2.4
  8. Overhead 2 for Example in 2.4
• Chapter 3
  1. Overhead for example, Section 3.1
  2. Extra Practice- Operators and Cramer's Rule
  3. Complex Numbers- An overview
  4. Complex Numbers: Solutions to the exercises in the handout
  5. Going from Complex to Real Solutions
  6. Overhead for example, Section 3.4
  7. New homework, Section 3.9
• Chapter 6: Laplace Transforms
1. Using the complex exponential to simplify some integrals
2. Solutions to the exercises
3. Table of Laplace Transforms
• Linear Systems (Replaces Chapter 7. Ch 7 is a good summary, but goes in more depth that we need)
  1. Lecture Notes to replace 7.1/7.2
  2. Homework Set 1 (for 7.1/7.2)
  3. Homework Set 1 solutions
  4. Lecture Notes, continued.
  5. Homework Set 2
• Nonlinear Systems (for Thur, Fri)
  1. The Poincare Diagram
  2. Notes and HW to replace Ch 9
  3. Example 1
  4. Example 2
  5. Example 3

Handouts for the Exams

Exam 1

• A summary of chapters 1 and 2
• Sample questions
• Solutions to sample questions
• Solutions to the extra practice questions (Autonomous DEs)
• Overhead for in-class discussion
• Overhead for in-class discussion

Exam 2

• Chapter 3 overview, computing solutions
• Chapter 3 overview, theory
• Review questions
• Solutions to review questions

Exam 3

• Review Questions, Chapter 6 and 5.1-5.3
• Solutions to review questions

Final Exam Materials

• One page summary of the course
• Review Questions
• Review Solutions