I illustrated the use of Martin Kraus's Live java applet to control 3D Mathematica graphics in real time. I also showed a number of Quicktime animations. You can see all of my multivariate animations and demos by going to the classroom demos section of my MA 225 course web page for Fall 2001. I've also collected the ones that I used in my talk on a separate web page.

During the last 15 minutes of the talk, I illustrated how I go about making these animations. Here are some of the Mathematica notebooks that I used:

• Arc length animation (Mathematica notebook for Quicktime)
• Circular hyperboloid (Mathematica notebook for Live Graphics)
  Also take a look at the source in the html file circular_hyperboloid_1.html.
• Package for Live Graphics (Mathematica package from MathSource)
• Documentation for Live Graphics Package (Mathematica notebook from MathSource)