MA 231
Honors-level Differential Equations
Sections A and HP
Fall 2009

Office hours during final exam period and final exam fact sheet
Project 1
Project 2
Revised syllabus (including the modified grading scheme, office hours, phone numbers, etc.)
Class conduct
Email message about the homework, etc
Homework cover sheet
Homework assignments:
Handouts, demos, etc:
- September 3, 2009
  - 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
- September 8, 2009
  - Notetaker helper (print out and bring to class)
- September 10, 2009
  - Notetaker helper (print out and bring to class)
- September 15, 2009
  - 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
  - Mathematica notebook used in class
- September 17, 2009
  - Notetaker helper (print out and bring to class)
- September 22, 2009
  - Notetaker helper (print out and bring to class)
  - Animation of Picard iteration (in Quicktime format)
- September 24, 2009
  - Notetaker helper (print out and bring to class)
  - Professor Devaney's phase line demo (in Quicktime format)
  - Article from SCIENCE magazine that was shown in class
- September 29, 2009
  - Notetaker helper (print out and bring to class)
- October 6, 2009
  - 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
  - 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
- October 8, 2009
  - Notetaker helper (print out and bring to class)
- October 15, 2009
  - 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
  - Animation related to uniqueness for autonomous systems
- October 20, 2009
  - Notetaker helper (print out and bring to class)
- October 22, 2009
  - Notetaker helper (print out and bring to class)
- October 27, 2009
  - Notetaker helper (print out and bring to class)
- October 29, 2009
  - Notetaker helper (print out and bring to class)
- November 3, 2009
  - Notetaker helper (print out and bring to class)
- November 10, 2009
  - Notetaker helper (print out and bring to class)
  - Animation of solutions as the damping parameter is increased (in Quicktime format)
- November 12, 2009
  - Notetaker helper (print out and bring to class)
- November 17, 2009
  - Notetaker helper (print out and bring to class)
  - Animation of solutions as the forcing frequency changes (in Quicktime format)
- November 19, 2009
  - Notetaker helper (print out and bring to class)
- November 24, 2009
  - Notetaker helper (print out and bring to class)
- December 1, 2009
  - Notetaker helper (print out and bring to class)
  - Mathematica notebook (optional)
- December 3, 2009
  - Notetaker helper (print out and bring to class)
- December 8, 2009
  - Notetaker helper (print out and bring to class)
Frequently asked questions (FAQ)
- Where can I read about partial fractions on the web?
Old exams:
- MA 231 exams given in Fall 2002
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: