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Tool: Contour Diagram Plotter and 3D Function Grapher Applets Combined
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Go to: http://www.flashandmath.com/.../index.html (opens a new window)
Description:

We present an applet that combines a contour diagram plotter and a 3D function grapher, and allows the user to toggle between the two. Since both contour maps and 3D graphs are very sensitive to the choice of x and y ranges, it is often very hard to interpret a contour diagram without seeing the corresponding 3D graph. This applet provides an opportunity to compare these two ways of visualizing functions of two variables.

In the applet, the user can enter a formula for a function f(x,y), x and y ranges and see the corresponding contour diagram. The 3D grapher part draws the 3D graph of a user-defined function f(x,y), in the user-defined x and y ranges. The 3D graph can be rotated in real time. The possibility of comparing the two ways of visualizing functions of two variables gives the applet its pedagogical value.

Technology Type: Flash 
Author: Barbara Kaskosz and Doug Ensley
Language: English 
Cost: Does not require payment for use

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Courses: Calculus Function graphs, Param., Polar, & Vector Fcns.