MA 226
Differential Equations
Section A
Spring 2006

Project 1
Project 2
Syllabus (including office hours, phone numbers, etc.)
Sebastian's email message about the homework, etc
- Professor Blanchard's addendum related to late or missing assignments
Homework assignments:
Homework Cover Sheet
Handouts, Demos, etc:
- January 18, 2006
  - 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 20, 2006
  - Notetaker helper (print out and bring to class)
- January 23, 2006
  - Notetaker helper (print out and bring to class)
- January 25, 2006
  - Notetaker helper (print out and bring to class)
- January 27, 2006
  - Notetaker helper (print out and bring to class)
- January 30, 2006
  - 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, 2006
  - Notetaker helper (print out and bring to class)
- February 3, 2006
  - Notetaker helper (print out and bring to class)
  - Professor Devaney's phase line demo (in Quicktime format)
- February 6, 2006
  - Notetaker helper (print out and bring to class)
- February 8, 2006
  - Notetaker helper (print out and bring to class)
- February 10, 2006
  - Notetaker helper (print out and bring to class)
- February 13, 2006
  - Notetaker helper (print out and bring to class)
- February 17, 2006
  - 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 21, 2006
  - 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 22, 2006
  - Notetaker helper (print out and bring to class)
- February 24, 2006
  - 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 27, 2006
  - Notetaker helper (print out and bring to class)
  - Animation related to uniqueness for autonomous systems
- March 1, 2006
  - Notetaker helper (print out and bring to class)
- March 3, 2006
  - Notetaker helper (print out and bring to class)
- March 13, 2006
  - Notetaker helper (print out and bring to class)
- March 15, 2006
  - Notetaker helper (print out and bring to class)
- March 17, 2006
  - Notetaker helper (print out and bring to class)
- March 20, 2006
  - Notetaker helper (print out and bring to class)
- March 24, 2006
  - Notetaker helper (print out and bring to class)
- March 27, 2006
  - Notetaker helper (print out and bring to class)
- March 29, 2006
  - Notetaker helper (print out and bring to class)
  - Animation of solutions as the damping parameter is increased (in Quicktime format)
- March 31, 2006
  - Notetaker helper (print out and bring to class)
- April 3, 2006
  - Notetaker helper (print out and bring to class)
- April 5, 2006
  - Notetaker helper (print out and bring to class)
- April 7, 2006
  - Notetaker helper (print out and bring to class)
  - Animation of solutions as the forcing frequency changes (in Quicktime format)
- April 10, 2006
  - Notetaker helper (print out and bring to class)
- April 12, 2006
  - Notetaker helper (print out and bring to class)
- April 14, 2006
  - Notetaker helper (print out and bring to class)
  - Mathematica notebook (optional)
- April 19, 2006
  - Notetaker helper (print out and bring to class)
- April 21, 2006
  - Notetaker helper (print out and bring to class)
- April 24, 2006
  - Notetaker helper (print out and bring to class)
- April 26, 2006
  - Notetaker helper (print out and bring to class)
Frequently asked questions (FAQ)
- How do I get handouts from the computer?
- Where can I read about partial fractions on the web?
Old exams:
MATLAB: Now that we have DETools, we do not use MATLAB in MA 226 as much as in prior semesters. However, some of my students who know MATLAB like to use the dfield and pplane programs that were developed by Professor John Polking of Rice University. Here is some related information:
By the way, Professor Polking's MATLAB routines are available from his web site, but the versions that I have placed on ACS are modified to conform to our notation, so I recommend your going to ACS rather than downloading any files from Rice.
Java versions of dfield and pplane: Professor John Polking of Rice University has also worked with his colleagues to produce Java versions of dfield and pplane. The advantage of the Java versions is that you can run them inside of a Java-enabled browser. You do NOT need MATLAB! These Java programs are available at http://math.rice.edu/~dfield/dfpp.html. If you decide to use these programs, make sure that you have an appropriate version of Netscape or Explorer.
Answers to our exams: