This applet are designed to build intuition about critical points of functions in two variables.

The first applet looks at the function z=f(x,y)=k(x^2+y^2)-2xy.

The student is to classify the critical point for various values of k and line up the observations with the corresponding values of the discriminant

The user can change the function.

This applet was designed as by modifying an applet from a demo by Tom Banchoff at Brown University. It is used with permission. Go to the Banchoff Applet Help page.

Return to the Banchoff Applet page.

Return to the SLU Calculus Applet page.

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Last updated By Mike May, S.J. , October 6, 2006.