Differential Equations
Math 244, Spring 2016

Textbook

• Elementary Differential Equations and Boundary Value Problems, by William Boyce and Richard DiPrima (9th Edition)
  

  TEXT NOTE: This is NOT the current version, which is the 10th edition. There are a couple of different versions of the text; here are the links to Amazon.com for the information:

• 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)
• We'll generally be covering topics from Chapters 1-7 except Chapter 4. Chapter 7 is done as time permits.

Beginning Material

• Syllabus
• Course Calendar
• Homework, first day
• First Homework Set
• Homework to Exam 2
• Homework to Exam 3

Links by Chapter

1. Review Material
• Defining the Hyperbolic Trig Functions
• Solutions to the Hyperbolic handout
• Integration by Parts using a Table
• Partial Fraction Decomposition
2. Chapter 1
• Laplace's Demon
• Integration Practice Problems (with hints)
• Integration Practice solutions
• NOTE: "Quiz" For February 4th was to solve exericses 23 and 28 using Maple and turn in solutions by Friday (2/5).
3. Chapter 2
• Extra Practice, Section 2.5
• Solutions to the extra practice
• Selected solutions, 2.5
4. Chapter 3
• Extra Practice: Linear Operators and Cramer's Rule
• Extra practice solutions. (Updated to fix error in 5(e))
• Introduction to Complex Numbers
• Solutions to the complex number handout
• Section 3.3, Maple file for 23 and 24
• A note about Euler Equations (3.3 and 3.4)
• Links for Section 3.8:
  1. (Youtube clip) Video from MIT- Beating and Resonance
  2. Watch a wine glass shatter.
  3. (Youtube clip) The Tacoma Narrows Bridge Collapse (Or was it resonance?)
5. Chapter 6
   • Table of Laplace Transforms
   • Complex integrals and Laplace transforms
   • Solutions to Complex Integrals handout (above)
   • Maple worksheet for Section 6.3/6.4
   • Same worksheet, but in PDF format
   • Slides for discussion, Section 6.4-6.5
   • Slides for discussion, Section 6.4-6.5 (with pauses- Don't download this version)
6. Chapter 7
   • Handout for Homework, 7.1-7.2 (Old link)
   • New Homework for 7.1 (sent by email
   • Solutions to the new homework
   • Example for Modeling for Thursday
   • New Homework for 7.2 (from class)
   • Solutions to homework from 7.2
   • Homework to replace 7.3, 7.5 (Day 3)
   • Solutions for "Day 3" Homework
   • Homework to replace 7.6, 7.8 (Day 4)
   • Poincare Diagram
   • Solutions for "Day 4" Homework
   • Day 5 homework
   • Solutions to Day 5 homework.

Exam 1

1. Summary for Exam 1
2. Review questions for Exam 1
3. Solutions to the review questions

Exam 2

1. Solutions to the handout for 3.7-8.
2. Summary for Exam 2
3. Review questions for Exam 2
4. Solutions to the review

Exam 3

1. Topics for Exam 3
2. Review Questions
3. Review Solutions
4. Selected Solutions, Section 5.1 HW
5. Selected Solutions, Section 5.2 HW

Final Exam

1. For "Day 5 HW" and solutions, see link above after the Poincare Diagram.
2. Quiz 11 Solutions
3. Summary of Chapter 7
4. Review Questions
5. Review Solutions

Links for Maple

• How to put Maple on your home computer.
• Introduction to the Math Computer Lab (If you've never used the computers there before)
• A General Maple Tutorial
• PDF: How to create direction fields in Maple.
• PDF: A Sample Direction Field (using Maple)
• Maple file: Direction fields for 1.1, p 10.
• PDF file: Direction fields for 1.1, p. 10
• Maple file: Solution to 2.1 #24
• Maple file: Section 2.2- Direction fields for homogeneous equations
• PDF: Section 2.2- Direction fields for homogeneous equations
• Maple file: Section 2.2 Samples
• PDF: Section 2.2 Samples
• Maple file: Section 2.3, Falling Body
• Maple file: Section 2.3, Parachutist
• Euler's Method using Maple (2.7)