Textbook for Fall 2010

• Elementary Differential Equations and Boundary Value Problems, by William Boyce and Richard DiPrima (9th 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
• There also is an optional Student Solution Manual Available (typically, these have more detailed solutions to odd numbered problems)
• Course Syllabus
• Course Calendar
• Homework to Exam 1
• Homework to Exam 2
• Homework UPDATED (3.4 -3.8)
• Homework to replace 3.7-3.8
• Homework to Exam 3

Chapters 1-2

• Direction Fields
• Practice with Integration (Hints to come)
• Integrals with hints
• Dir Fields for 2.1, 1, 3, 5, 7
• Dir Fields for Homogeneous Equations, 2.2
• Dir Fields for 2.2, 9, 11, 16
• Homework solutions for 2.3
• Homework solutions for 2.4
• Homework Solutions for 2.5
• Homework Solutions for 2.6

Exam 1 Material (Chapters 1-2.6)

• Quiz 2 solutions
• Study Guide
• Review Questions
• Review Solutions
• Extra Practice, Autonomous D.E.s (with solutions)

Chapter 3 Material

• Extra Practice: Operators and Cramer's Rule
• Solutions to the Extra Practice
• An overview of Complex Numbers (and some practice problems)
• Solutions to the complex numbers handout
• Solution to Exercise 23, Sect 3.3 using Maple
• Solution to Exercise 25, Sect 3.3 using Maple
• Getting started in the Math Lab (How to log in/out, adjust the Desktop and how to get Maple started).
• Maple Guide (previously from Prof. Guichard's text)
• (Right-click and choose "Save Link As...") Section 3.4, Exercise 15 solved in Maple. Here is a link to the file in PDF form (for online viewing)
• (Right click and choose "Save Link As...") Section 3.5 Examples in MapleHere is a link to the file in PDF form (for online viewing)
• Overhead slides for 3.5 (Without pauses HERE
• Overhead slides for 3.6 (Without pauses HERE
• Homework to replace sections 3.7 and 3.8
• Solutions to the homework, 3.7 and 3.8
• Maple file for Exercise 17, 3.8

Exam 2 Material

• Theory from Chapter 3
• Summary of Chapter 3
• Sample Questions, Chapter 3. You may use a calculator.
• Sample Solutions, Chapter 3

Chapters 6 (Laplace Transforms) and 5 (Power Series)

• Table of Laplace Transforms
• Using the complex exponential to compute Laplace Transforms
• Solutions to the complex HW
• Using Maple for the Laplace transforms
• Homework Notes: 6.2
• Homework Notes: 6.3
• Homework Notes: 6.4
• Maple Worksheet: Section 6.4
• Homework Notes: 6.5
• Maple Worksheet: Section 6.5
• Homework Notes: 6.6
• Homework Notes: 5.1
• Homework Notes: 5.2

Exam 3 Material

• Review Questions NOTE: Section 5.3 (the radius of convergence of the series solutions) will not be on the examination.
• Solutions to the Review Questions

Chapter 7 (Systems of Differential Equations)

• Homework to replace Sections 7.1 and 7.2 (For Monday, Nov 30th and Wed, Dec 1st)
• Homework Solutions
• Lecture notes (Days 3-4)
• Homework set 2
• Homework Solutions
• Maple file: Linear Systems and solving for a particular solution
• Maple file: Linear Systems and phase plot
• The Poincare Classification Diagram
• Notes to replace 9.1
• Solutions to the homework.
• Quiz 10: Take home that is due by Friday 5PM (This is also Wednesday's homework)
• Quiz 10 solutions

Final Exam Material

Extra Info

• A little movie of the Lorenz Attractor (named after the meteorologist/mathematician Ed Lorenz). This is the solution to a certain system of nonlinear differential equations.
• Video of the collapse of the Tacoma Narrows Bridge, 1940
  
• Video of Benoit Mandelbrot, earlier this year