First Day Handouts!

• Course Syllabus (Updated January 14th)
• Course Calendar (Updated January 16th)
• First Homework Set (Updated January 16th)
• Second Homework Set (Updated March 12)
• Third Homework Set (Updated April 5)
• Textbook: Elementary Differential Equations with Boundary Value Problems, by William Boyce and Richard DiPrima

Handouts by Chapter

• Overview of Partial Fractions (Review for Chapter 2.5, Autonomous D.E.)
• Solutions to the Partial Fractions Questions
• Practice problems, Chapter 2: Identify the differential equation

Chapter 3 Maple Examples and Handouts

1. Example for the second order equations (Solving and plotting)
2. Example for Section 3-8
3. Maple Worksheet: An animated pendulum!
4. Group Quiz Solutions
5. Note on converting sums of sines and cosines

Chapter 5 Handouts

• Maple Worksheet: Airy's Equation

Exam 1 Review

• Summary of 3.2-3.3 (Theory)
• Questions in PDF format
• Questions in PostScript format (better to read if you're in the Math Lab)
• Solutions

Chapter 6 Handouts

• Maple commands for the Laplace Transform, Partial Fractions and the Heaviside (step) function
• Maple Worksheet for our first in-class example from 6.4
• Maple Worksheet for our second in-class example from 6.4

Exam 2 NOTES

• Laplace Transform Review
• Solutions, Laplace
• Other review questions, Ch 3-5
• Solutions to other review questions

Chapter 8 Handouts and Sample Files

• Explanation of Euler's Method Lab
This has your homework assigned on Thursday, April 22.
• Matlab file: euler.m (right-click and "Save Link Target As...")
• Matlab file: eulerprint.m
• A MAPLE file with Runge-Kutta order 4 and also Euler's method
USE THIS file for your homework template (assigned on Monday, April 26th. Problems 4,6 on page 438
• A MAPLE file with an example of using a "real" ODE solver
• The Maple worksheet from class doing a conversion from second order to a system of first order. With plots
• A Maple worksheet using a system of first order equations.

Chapter 7: Systems of Equations

• Homework assigned on Tuesday, April 27th and Thursday, April 29

Systems of Differential Equations

• Linearization Handout, with Homework
• Maple Worksheet for Systems
• Maple Worksheet, II
• SOLUTIONS, Page 1
• SOLUTIONS, Page 2
• SOLUTIONS, Page 3
• SOLUTIONS, Page 4

Final Exam Materials

• Overview Sheet (Sorry about the image format)
• General Review Questions
• Review SOLUTIONS
• Solution for Problem 22 (Image)

Something extra: The Lorenz Equations

Maple Worksheet Examples

• Overview of Maple This is a PDF file- just click on the link to see it.
• Examples of Direction Fields
• A Worksheet for the first Homework
• Maple worksheet from class: Integration in Maple
• Maple Worksheet from class: Doing Problem 21, Chapter 2.2
• Maple Worksheet: Second Order, non-homogeneous equations