Formula Graphing Applets

This demonstrates one program from the package, "graphing", of Java classes I am developing to use for graphing mathematical functions in educational demonstrations.

The applet on this page illustrates how you construct the integral of a function as the sum of the areas of larger and larger numbers of strips. You can draw the graph of a function and then move the slider bar to show the strips that make up the left-hand or right-hand Riemann sums. You can also display the areas of the sums of the strips at any stage.

If you can see this, it means you do not have a browser that can view Java programs.

Instructions:

Adding Functions: Press "Add Function" button and type in a formula to be graphed in standard mathematical notation (eg "e^(-x/10)sin(x)"). The only variable the formula can use is x. You can add as many functions as you like, and "Delete Function" deletes the last one you entered.
Rescaling: This brings up a panel which you can use to edit the scale of the graph. The x variable runs between xMin and xMax, and the y values run between yMin and yMax. Use xScale and yScale to set the spacing of tick marks on the axes. If xScale or yScale is zero, the graph will have no tickmarks on that axis.
Riemann Sums: Move the slider bar to vary the number of strips in the Riemann sums. The control buttons set whether or not to show the value of the Riemann sum in the screen, and whether to use left-hand or right-hand Riemann sums.

Please play with the program here, and see what it can do.It's still under development; so go ahead and try to break it, and let me know if you can!

If you like my program and you want to use it in your pages, just include the tag

<applet height=350 width=350 codebase="http://www.math.unl.edu/~jorr/java" code="graphing/applets/IntegGrapher.class"> </applet> in your web pages and you'll get what you see here!

If you have suggestions for changes, developments, or extensions of this program please mail me. Please mail me with bug reports too!