VANDER Graph Generator Page

1. The Newton's Method applet. Approximate zeros of many functions with this applet.
2. The Taylor Polynomial applet. You can enter a function and see the Taylor Polynomials up to order 20. Because symbolic differentiation can get complicated as we go to higher orders, it is possible to run out of memory unless the applet can rein itself in. This freezes the applet, which is a Bad Thing. So, we keep track of how long each symbolic differentiation takes, and stop the process if the previous calculation took more than 500 milliseconds. This value seems to work OK both on our 480MHz 64-bit Sun and on my 100MHz AMD machine. This explains why some functions will not give 20 Taylor Polynomials.
3. Another new applet, the ODE Grapher. This compares the Euler, Improved Euler and Runge-Kutta methods for solving differential equations numerically. Yum.
4. LeastSquaresGrapher
   • The raw Least Squares Grapher allows you to input a set of data points and graph the least squares line. log-log and semi-log plots are also available.
   • The Tutorial Version is constructed when you supply a set of data points by passing them as parameters to the applet. This makes an interactive version in which students must try and guess the slope and intercept for the least-squares line.
5. RectGrapher
   • RectGrapher.
6. AreaGrapher
   • AreaGrapher Test: Plain
   • AreaGrapher Test: Two Functions
   • AreaGrapher Test: Parameter Test
   • AreaGrapher Test: AreaTrio
   • AreaGrapher Test: Color Passing
   • AreaGrapher Documentation
7. GraphToy
   • GraphToy Test
   • GraphToy Documentation
8. PolarApplet
   • PolarApplet Test: Plain
   • PolarApplet Test: Parameter Test
   • PolarApplet Test: Step-wise Graphing
   • PolarApplet Test: Complete Parameter Test
   • PolarApplet Test: No Cartesian Graph
   • Preliminary functionvector usage
   • PolarApplet Documentation
   • Taylor Series -raw (alpha stage - unstable)
   • Taylor Series - demo
9. Parametric Grapher