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A collection of Java applets for a number of topics.

Modeling, ODE, Numeric Methods, Graphic Methods

A Mathematica manipulate showing the effect of herd immunity on smallpox transmission. Simple dynamic display of the result of changing the initial fraction of immunes.

Modeling, ODE

DESSolver v1.7

A java applet plotting solutions of ODEs. There is a drop down menu for different solvers including Euler, Modified Euler, RK and Dormand-Prince.

Numeric Methods

Wolfram Demonstrations: Search Runge-Kutta

A Mathematica demo showing the error behavior and construction of simple Runge-Kutta schemes for first order DE

Numeric Methods

Phase Plotter Applet

A Java applet which enables the user to create the phase portrait for a 2D system of differential equations. Applet will also plot trajectories for given initial conditions and isoclines.

Graphic Methods

Epidemiology: Modeling Epidemics and Endemics

A presentation that gives background in epidemiology, and presents the basic SIR and SIS models.

Modeling, ODE

Repeating Decimals and Geometric Series

This activity begins by reviewing conversions between fractions and decimals with an emphasis on repeating decimals.

Series, Development Math, Series, Ordinary Differential Equations

Ode Solver: Type and Solve an ODE

The Java applet provides graphical solutions of ordinary differential equations using a fourth-order Runge-Kutta method with constant step size.

Numeric Methods

Symbolic Inverse Laplace Transform Applet

This applet calculates symbolically the inverse Laplace Transform of quotients of polynomials with real-valued coefficients. The resulting inverse transform is then plotted.

Laplace Transforms

Interactive Differential Equations

These are lab projects for a differential equations course. Within each lab there are one or more Java applets that will help with the lab project and are valuable by themselves.

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