Differential Equations
Math 244, Spring 2023

Textbook

Image for textbook

Image for textbook

Same book as last semester. There are a couple of different versions of the 9th edition (see below).

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 12th 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.

Beginning Material

Syllabus
Course Calendar (Updated Feb 3)
Homework to Exam 1 (Updated Feb 3) See the change to 2.3, 2.4 below.
Homework to Exam 2
Homework to Exam 3

Links by Week and Section

Video lectures from a past semester (Optional- This is here primarily for a backup in case you want to see what we did in class again. You shouldn't rely on this however since it is from a past semester.
Review Material - Read these at your leisure.

Chapter 1
- Practice Problems (used in the quiz below)
- Direction Fields example
- Take Home Quiz 1: Turn in the solutions to the following problems from the Practice Problems handout. \#1 in Partial Fractions, \#1 in Integration by Parts, \#1(a,b), 2(a,b), 3(c,d), 4(c,d), 5 from the section on algebra. Write your solutions up NEATLY and upload them to Canvas. Due: Monday Jan 23 at 11:59PM.
Chapter 2
Change in homework for 2.3 (modeling): Tanks: 2, 3, 4, Population: 13, Newton's Law of Cooling: 16.
Change in homework for 2.4: 1-6 only.
Chapter 3
Section 3.8:
Chapter 6
- Table of Laplace transforms (same one you'll recieve on quizzes, exams)
Week 13 Links (Apr 24-28):
We're going through a ``simplified'' version of Chapter 7 and 9 in the time remaining. If you have had linear algebra, you might go to the text to read about the general theory- In class, we're going to restrict ourselves to the plane (two dimensional systems).
- Notes to Replace 7.1
- Notes to Replace 7.2
- Notes to Replace 7.3-7.5
- How to Sketch Solutions
  - Video 1: Summary so far
  - Video 2: Sketching solutions (Sorry for running off the edge- It does come back).
  - Video 3: More sketching solutions
Week 14 Links (May 1-5, Last week of new material):
- Complex Eigenvalues/vectors
- Double Root:
  - (Video) A Single Eigenvalue (and summary) (An error was made and then repeated about 0:30- The trace is 2 for both matrices).
  - (PDF) Notes
  - (PDF) Homework
- Poincare Diagram:

Exam Links

Exam 1
Exam 2
Exam 3 (Section 3.8 won't appear on the exam)

Final Exam

Other 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.