*******[ MATHEMATICAL SOFTWARE from the UNIVERSITY OF ARIZONA ]***********
  ** The math programs below are a collection of slide shows primarily    **
  ** graphical. These are images which would be difficult or impossible   **
  ** to draw on a board. Some of these are animated and some "zoom" in on **
  ** the function. They will be marked as "SHOW" in the description line. **
  **************************************************************************
  ********[ You need 640k memory and CGA to run these programs ]************
  **************************[ SLIDE SHOWS ]*********************************

ODESHOW.ZIP    128946  11-12-89  Math software from U of Arizona. "SHOW"
  Ordinary Differential Equations. Samples including a one parameter family
  of curves,  the US Population and logistic growth,  the cooling of coffee
  and Newton's Law,  the Euler and Runge Kutta methods and their fallibility
  damped free vibrations,  building a function from its series solution, and
  Bessel functions.

FUNCTION.ZIP   120758  11-12-89  Math software from U of Arizona. "SHOW"
  Consists of graphs of functions which occur frequently in calculus.
  Including the everywhere continuous nowhere differentiable function!

TROUBLE.ZIP    107694  11-12-89  Math software from U of Arizona. "SHOW"
  This demonstrates the dangers associated with graphing a function by
  plotting "enough" points and then rejoining them.

VIBSTRG.ZIP     95348  11-12-89  Math software from U of Arizona. "SHOW"
  An animated set of displays which shows how two travelling waves generate
  a stationary wave.

TAYLOR.ZIP     136752  11-12-89  Math software from U of Arizona. "SHOW"
  This program shows the Taylor polynomials.

FOURIER.ZIP    127818  11-12-89  Math software from U of Arizona. "SHOW"
  Shows partial sums of Fourier series for the triangular wave, square wave,
  saw tooth, cosine expansion of sin x, and an interrupted square wave.
  Gibbs phenomenon and other non-uniform convergence are quite apparent.

PDE1.ZIP       101784  11-12-89  Math software from U of Arizona. "SHOW"
PDE2.ZIP        85124  11-12-89  Math software from U of Arizona. "SHOW"
PDE3.ZIP        93443  11-12-89  Math software from U of Arizona. "SHOW"
  3 files (PDE1, PDE2 & PDE3) shows exact solution of a wave equation for
  three different initial conditions (PDE1 = a smooth hump,  PDE2 = a step
  function,  PDE3 = a triangular hump).  Various numerical approximations
  are then superimposed on the exact solution so that the accuracy and
  stability of the numerical scheme can be visualized.