# Browse Course Communities

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The purpose of this demo is to illustrate how hyperbolic functions and arc length integrals are used to model hanging cables.

Collection of nine video lectures on double integration, together with supporting notes and problem sets.
There are 58 applications of differential equations over four pages on the site. You can download the Maple worksheet as well as a description of the worksheet.
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.
This applet calculates symbolically the inverse Laplace Transform of quotients of polynomials with real-valued coefficients. The resulting inverse transform is then plotted.
The Java applet provides graphical solutions of ordinary differential equations using a fourth-order Runge-Kutta method with constant step size.
Outstanding multipurpose tool for demonstrating vector fields, flows, equipotential surfaces, divergence, curl, and both Stokes' Theorem and the Divergence Theorem.

Studies $$y=k/x$$ and the meaning of asymptote. Uses fact that elimination rate for some drugs varies by population.

The purpose of this lesson is to develop an understanding of quadratic functions.
This investigation of the genetics of the Sickle Cell trait via a mathematical model uses probability and teaches properties of quadratic functions and the concept of optimization of a function.