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# Course Communities

Resources for a Probability Course are now available!

So far, we have identified resources for one-variable calculus, multivariable calculus, a first course in ordinary differential equations, and a probability course, as well as for a pseudocourse containing resources for developmental mathematics. .

Check out and rate the resources, make comments, start discussions, and recommend additional resources.

Featured Items:

## CalcPlot3D, an Exploration Environment for Multivariable Calculus

Creator(s): Paul Seeburger (Monroe Community College)

CalcPlot3D is a java applet that illustrates many multivariable calculus concepts. The applet itself is located at http://web.monroecc.edu/manila/webfiles/ calcNSF/JavaCode/CalcPlot3D.htm. This entry describes an article in Loci: Resources about the applet with extensive discussion of how it can be used to illustrate dot and cross products, motion in the plane and in space, the TNB-frame, the osculating circle, surfaces, level surfaces, partial derivatives, gradients, Lagrange multiplier optimization, defining the limits of integration for double and triple integrals, parametric surfaces, vector fields, and line integrals.

## Trivial Pursuits and Algebraic Models (writing equations)

Creator(s): Mark Sandefur (Georgetown University) and Rosalie Dance (University of the Virgin Islands)

Hands-on activity. The purpose is to help students learn to use variables and to write equations to model a problem situation. Helps students learn how to work simple "word problems" by actually doing what is said.

## Maple Worksheets on First Order Differential Equations

Creator(s): Peter Stone

A collection of Maple worksheets that go through analytic methods of solving first order differential equations (separable, linear, integrating factor, exact, Bernoulli). The worksheets explain the methods themselves as well as the Maple code needed to solve.

## The Immortal L'Hospital

Creator(s): Judy Broadwin

Essay giving very brief biography of l'Hospital, the history of his and Johann Bernoulli's rule, and a slightly modernized diagram for and version of the proof he and Bernoulli gave.