MA 226
Differential Equations
Section A
Spring 2008

Final exam, discussion section, exam, homework, and final course grades (via CourseInfo)
Project 1
Project 2
Syllabus (including office hours, phone numbers, etc.)
Homework assignments:
Homework cover sheet
Handouts, demos, etc:
- January 16, 2008
  - Notetaker helper (print out and bring to class)
  - United Nations World Population Estimates
  - U.S. Population Projections by U.S. Census Bureau
  - International Society of Malthus
- January 18, 2008
  - Notetaker helper (print out and bring to class)
- January 23, 2008
  - Notetaker helper (print out and bring to class)
- January 25, 2008
  - Notetaker helper (print out and bring to class)
- January 28, 2008
  - Notetaker helper (print out and bring to class)
- January 30, 2008
  - Notetaker helper (print out and bring to class)
  - spreadsheets for dy/dt = y² - t
    - basic implementation of Euler's method
    - Euler's method with slider
  - spreadsheet for dy/dt = e^t sin y
- February 1, 2008
  - Notetaker helper (print out and bring to class)
- February 4, 2008
  - Notetaker helper (print out and bring to class)
  - Professor Devaney's phase line demo (in Quicktime format)
- February 6, 2008
  - Notetaker helper (print out and bring to class)
- February 8, 2008
  - Notetaker helper (print out and bring to class)
- February 11, 2008
  - Notetaker helper (print out and bring to class)
- February 15, 2008
  - Notetaker helper (print out and bring to class)
  - One solution to the predator-prey system graphed in 3D
  - A solution curve and its corresponding component graphs (in Quicktime format)
    solution curve from predator-prey system
  - Three solution curves and their corresponding component graphs (in Quicktime format)
    illustrates the phase portrait for the predator-prey system
- February 19, 2008
  - Notetaker helper (print out and bring to class)
  - One solution to mass-spring system graphed in 3D
  - Two solutions to mass-spring system graphed in 3D (BIG: 900 KB)
    illustrates the concept of the phase portrait
- February 20, 2008
  - Notetaker helper (print out and bring to class)
- February 22, 2008
  - Notetaker helper (print out and bring to class)
  - spreadsheet for Euler's method for systems
  - spreadsheet for Euler's method for a predator-prey system
- February 25, 2008
  - Notetaker helper (print out and bring to class)
  - Animation related to uniqueness for autonomous systems
- February 27, 2008
  - Notetaker helper (print out and bring to class)
- February 29, 2008
  - Notetaker helper (print out and bring to class)
- March 3, 2008
  - Notetaker helper (print out and bring to class)
- March 5, 2008
  - Notetaker helper (print out and bring to class)
- March 7, 2008
  - Notetaker helper (print out and bring to class)
- March 17, 2008
  - Notetaker helper (print out and bring to class)
- March 19, 2008
  - Notetaker helper (print out and bring to class)
- March 21, 2008
  - Notetaker helper (print out and bring to class)
- March 24, 2008
  - Notetaker helper (print out and bring to class)
  - Animation of solutions as the damping parameter is increased (in Quicktime format)
- March 28, 2008
  - Notetaker helper (print out and bring to class)
- March 31, 2008
  - Notetaker helper (print out and bring to class)
- April 2, 2008
  - Notetaker helper (print out and bring to class)
- April 4, 2008
  - Notetaker helper (print out and bring to class)
- April 7, 2008
  - Notetaker helper (print out and bring to class)
  - Animation of solutions as the forcing frequency changes (in Quicktime format)
- April 9, 2008
  - Notetaker helper (print out and bring to class)
- April 11, 2008
  - Notetaker helper (print out and bring to class)
  - Mathematica notebook (optional)
- April 14, 2008
  - Notetaker helper (print out and bring to class)
- April 16, 2008
  - Notetaker helper (print out and bring to class)
- April 18, 2008
  - Notetaker helper (print out and bring to class)
- April 23, 2008
  - Notetaker helper (print out and bring to class)
- April 25, 2008
  - Notetaker helper (print out and bring to class)
- April 28, 2008
  - Notetaker helper (print out and bring to class)
Frequently asked questions (FAQ)
- Where can I read about partial fractions on the web?
Old exams:
webODEs: I have been experimenting with an "on-line" symbolic ODE solver. Please try it out and let me know what you think. Our current license with the webMathematica folks only allows for two users at the same time, so you may have to wait a little while to get your answer.
Answers to our exams: