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Interactive Math Programs
These programs are designed to be used with Multivariable Mathematics by R.E. Williamson and H.F. Trotter, and Introduction to Differential Equations , but are quite generally useful for illustrating concepts in the areas covered by the texts. So have fun, experiment with different values, and let us know if you have any trouble.
These programs were originally written in True Basic for the Macintosh The translation into Java and the writing of a recursive descent equation parser was done and Susan Schwarz.
The programs are java applets tested on Macintosh computers running OS 10 using Netscape v7 and Internet Explorer v5.2, and on computers running Windows 2000 and XP using Netscape v7 and Internet Explorer v6. The applets will run on Macintosh computers running OS 9 using Netscape 7 but not Internet Explorer.
To run one of the programs in the list below, just click on its name.Each program displays a brief explanation of how to use it. If you run intodifficulties, here are more detailed instructionson running the applets. The first time you try any of the programs you may want to look at the link anyway. If you do not see the buttonsthat are used to run the program, you may need to scroll down in the browserwindow until the buttons are visible.
Multivariable Calculus
First Order Equations
 EULER demonstration of Euler's method
 DIRFLD plots direction field and solutions
 1ORD  numeric output for initialvalue problems
 1ORDPLOT  graphical outputfor initialvalue problems
 NEWTON  Newton's method forsolving equations
 RUNKUT  RungeKutta method
Second Order Equations
 2ORD  numeric output for initialvalue problems
 2ORDPLOT  graphical output for initialvalue problems
 PHASEPLOT  plots phase curves for second order equations
 BOUNDARY2  plots trials and final estimates for boundary problems
 CYLINDERREP  cylindrical representation of phase curves
 TIMESECTplots time sections
Higher Dimensional Systems
Partial Differential Equations
 FOURIER  plots partial sums of Fourier series
 HEAT plots graph of heat equation solutions
 WAVE  plots graph of wave equation solutions
List of the features of the equation parser
For more information, please contact Professor Richard Williamson, or for problems with the applets, Susan Schwarz
Mon Jun 26 09:02:39 EST 2000