Differential Equations
Math 244, Fall 2017

Textbook

The book we're using in the Fall will be "Differential Equations", by Paul Blanchard, Bob Devaney and Glen Hall (Fourth Edition). Important NOTE: The book is often sold "with DE Tools Printed Access Card". We don't require that, so if you're buying a used version without it, don't worry. Here's an Amazon link with more book details:

Amazon link for Differential Equations text
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 1-6, as well as Appendices A and B.

Beginning Material

Online Calculus Book (for review)
Class Syllabus
Course Calendar
Homework through Exam 1 (Modified Sep 12th)
Homework through Exam 2
Final HW Assignments. For the handout mentioned after 4.2, see the trig sheet at the end of Chapter 3, below.

Handouts by Chapter

Chapter 1
Chapter 2
Chapter 3 (Linear Systems)
Chapter 4 (Oscillators)
- Section 4.2 (Forced Oscillator in general, Trigonometry and Complexification)
  - Some trigonometry, for Acos(wt)+Bsin(wt)
- Section 4.3 (Undamped Oscillators, Beating and Resonance)
- Section 4.4 (Oscillators with period forcing)
  - How does the maximum amplitude change with damping? (plot)
  - How does the maximum amplitude change with damping (animation)
  - Clarification and Extra Practice for Section 4.4
  - Solutions to the extra practice.
  - Watch a wine glass shatter. (Less than 1 minute)
  - (Youtube clip) The Tacoma Narrows Bridge Collapse (Or was it resonance?) (About 6 minutes)
  - (Youtube) Film from 1969 with Prof. Miller (About 14 minutes total)
  - (Youtube) - Just for fun.
Chapter 5: Nonlinear Systems
- Section 5.1: Local linear analysis
  - Animation for first competing species model
  - Animation for second competing species model
  - Animation for the Predator Prey model\
  - Animation for the Nonlinear, Undamped Pendulum. Also see "Pendulums" in the DEtools software
  - CometAnimations.mw. This is a Maple file showing the commands that were used to create the animations above (optional file for people who are familiar with Maple).
- Section 5.2: Nullclines
Chapter 6 (Laplace Transforms)
- Table of Laplace Transforms. This table will be provided for quizzes and exams.

Exam 1 Materials

Review for Exam 1 (Solutions are posted on CLEo)

Exam 2 Materials

Chapter 2 Review: 1-11, 15-16, 22-29, 31-35. Solutions are on CLEo.
Chapter 3 Review: 1-4, 6-8, 10-13, 19-20, 27-32. Solutions are on CLEo.
Familiarize yourself with the "Extra Practice" problems in the links above (Extra Practice with Mass-Spring Systems and converting between systems and nth order DEs).
Review 2 questions
Solutions to the review 2 questions

Exam 3

Review Topics
Review Questions
Review Solutions (Updated- Typo in 2(d), 8(b) in amplitude, and 15(e) was missing)

Final Exam

Suggested exercises from the Chapter Reviews
For the solutions to the chapter reviews, go to our CLEO site.
Homework solutions to Appendix B

Differential EquationsMath 244, Fall 2017