Differential Equations
Math 244, Spring 2022

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 11th 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. Also, topics from Chapter 7, 9 as time permits.

Optional Video material

Beginning Material

• Syllabus
• Course Calendar (UPDATED MAR 10 to reflect change to date of Exam 3)
• First Week HW
• Homework to Exam 1
• Homework to Exam 2
• Homework to Exam 3 (NOTE that Exam 3 was moved to Friday)

Information and Links

• Review Material - Read these at your leisure.
• Defining the Hyperbolic Trig Functions
• Solutions to the Hyperbolic handout
• Integration by Parts using a Table
• Partial Fraction Decomposition
• Khan Academy videos on Partial Fractions
• Direction fields and take-home quiz
  • Direction fields (group work)
  • Take Home Quiz (Due Monday night on Canvas)
• Link to take home quiz 4 is here . Due date is Feb 13.
• Chapter 3 handouts
  • Linear Operators and Cramer's Rule- Extra Practice
  • Solutions to the extra practice
  • Complex Numbers Primer
  • Solutions to the complex numbers primer questions
  • Group work practice problems (after Section 3.4)
  • Solutions to the group practice problems
• Section 3.8 (Spring-Mass system with periodic forcing)
  • (PDF) How to use Exponentials in place of Sine and Cosine
  • (PDF) Notes to replace Section 3.8
  • Solutions to the exercises at the end of the 3.8 handout
  • (Youtube clip) Video from MIT- Beating and Resonance (About 2 minutes)
  • 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.

Post Exam 3: All materials will be collected on the Videos page below

Exam Links

Exam 1

• Topics for the exam (note that for 2.6, the integrating factor for exact equations won't be on the exam) In the topics handout, this is the NOTE under Exact Equations.
• Review Questions. Question 12 can be deleted (integrating factor for exact equations).
• Answers to the review.

Exam 2

• Summary of topics for Exam 2
• Sample questions
• Sample solutions
• Section 3.7 Handout
• Section 3.7 Solutions (Section 3.8 will not be on the exam).

Exam 3

• Summary of topics for Exam 3
• Review questions for Exam 3
• Solutions to the review questions

Final Exam

• Summary of "Chapter 7", or the material since Exam 3
• General review questions (lots to choose from)
• Solutions to the review questions
• Sample Final 1
• Sample Final 1 Solutions
• Sample Final 2
• Sample Final 2 Solutions

Online Links

• An online direction field plotter. You'll need it for 1.1, and in general for plotting the direction fields for first order DEs.