• Direction fields: Section 1.1.
• Autonomous equations: Section 2.6.
• Euler's Method: Section 8.1.
• Error in Numerical Methods: Section 8.2.
• The Runge-Kutta Method: Section 8.4.
• Mathematica, Matrices, and Fibonacci Numbers : Section 7.3.
• 2 x 2 Linear Homogeneous Systems with Constant Coefficients : Sections 7.5-7.7.
• Non-Linear Systems: A Competing Species Example : Section 9.4.
• Non-Linear Systems: Limit Cycles : Section 9.7.

• Practice with Mathematica (Optional)
• Sample solutions
• First order equations (Due Monday 2/8)
• Sample solutions
• Numerical Methods (Due Monday 3/1)
• Systems of ODE's (Due Wednesday 4/28)

Downloading from this page: Save the link to the demo directly to a file. Pick any name you like for the file as long as it ends in ".nb" (for Unix machines--use whatever suffix is appropriate for Mathematica notebooks on your computer). Once the file is saved, open it using Mathematica.

Downloading from AFS: go to the afs directory "/afs/nd.edu/courses/math/math230.01". You should find copies of the worksheets there under names like "demo1_1.nb", where the "1_1" refers to the corresponding section (1.1) in the textbook. Copy whichever worksheet you like into one of your own directories and then open it with Mathematica. I haven't tried it yet, but you might be able to use Mathematica to open the worksheet from the AFS course folder directly (without copying).

Credits: I would like to thank Heide Gluessing-Luersson and John Derwent for providing me with copies of their classroom demos. The demos listed above borrow a great deal from theirs.

The End: If you like, you can go up one page, or go to Jeff Diller's Home Page.