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Course Communities

Course Communities in Undergraduate Mathematics (or Course Communities for short) contains a new collection of online resource recommendations. So far, we have identified resources for one-variable calculus, multivariable calculus, and a first course in ordinary differential equations. All together we have listed over 340 resources: PDF files, applets, videos, and other formats. Check out and rate the resources, make comments, start discussions, and recommend additional resources.

 

Webinar: Engaging Math Students with Ten Minute Activities

Friday, February 24, 9:00-10:00 am PST(12:00-1:00 pm EST)

The San Diego State faculty, major players in the Developmental Math Course Community, will conduct a webinar entitled, Engaging Math Students with Ten Minute Activities (PDF file), on Friday, February 24 from 9-10 am PST. Click on the link for more information.

 

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 (Geiogetown 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.


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