Java Applet Worksheet 2

Level Curves

(Written by Dr. Steve Harris)


To access Professor May's applets (based on work of Tom Banchoff):

  link: Level Curve
button: Level Curve Applet

Spread the graphs out where you can see them all, as well as the control panel.

Use the Level Curve Applet to investigate the function


f(x, y) = - x2y2 + x2 + y2


At what z-values does the contour curve change abruptly?

What is the nature of the change?

What is this telling you about the shape of the surface?

Return to the Level Curve Applet page.

Last updated By Mike May, S.J., October 12, 2004.