|
|
A Gallery of Volume Visualizations (shown above) is a great resource developed by David R. Hill and Lila F. Roberts. I have used
these in Calculus for several semesters now when we learn to set up and calculate various types of volumes. I particularly like this site because the authors of the demos give the equations on which each animation is based, which makes it nice for classroom examples.
Interactive Real Analysis is a nice text-based resource for higher-level concepts in Calculus (like differentiability, sequences, and series).
Although the text is for a more advanced class, many of the concepts are explained first at a level that Calculus students could understand and the examples would be good ones to use in class.
Approximating the arc length of a curve in 3-D using line segments is a nice animation that starts with 20 line segments (and the
sum of their lengths) and using animation, increases to 100 line segments (and the sum of their lengths).
Visual Calculus "A collection of modules that can be used in the studying or teaching of calculus." The site is organized by calculus
topics and each topic generally has animations, tutorials, quizzes, calculator examples, and much more.
Wolfram Demonstrations Project Calculus: This section contains approximately 130 (and counting) demonstrations for
Calculus. There are some great visuals for related rates, derivatives, integrals, series, solids of revolution, etc. The graphic below shows a demonstration that you could use to teach epsilon-delta
limits in under 5 minutes. This is a must-visit website for Calculus teachers.
Famous Curves Index: This lovely website (published in Scotland) has 63 famous curves complete with equations, graphs
(like this nice one of Fermat's Spiral), a short history of the cure, and a line to interactive Java code for manipulating the curve. If you're teaching about parametric equations or polar coordinates, you have to check these out!
|
|
|
