Java Applet
Worksheet 2

Level Curves

(Written
by Dr. Steve Harris)

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

http://www.slu.edu/classes/maymk/MathApplets-SLU.html

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) =
- x**^{2}y^{2} + x^{2} + y^{2}

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.