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VII. General Interest Sites
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|  | Calculus Applets
This site contains many animations on calculus topics, including limits, slope versus derivative, arc length, infinite series, conic sections, definition of ellipse, reflective properties, cycloids, area inside a parametric curve, polar curves, and quadric surfaces. Most topics contain two or more example animations.
Calculus Applets
Calculus
This Web site is an online text arranged in six chapters, each of which contains between eight and 12 sections. When you click on the section of interest, a noninteractive tutorial can be read that includes sophisticated math fonts and some excellent supporting graphs and diagrams.
Calculus
Aid for Calculus
This site contains hundreds of problems for both calculus and precalculus topics. The site is designed in an interesting fashion in that it separates your browser into three different windows for navigation. You click on one of the two hundred or so topics in the middle window, and then the left window reveals problems on that topic. Each problem in turn contains a link to a tutorial-style solution.
Aid for Calculus
Alvirne High School AP Calculus Site
This is an excellent site for finding problems and has a wonderful collection of resources for teaching calculus.
Alvirne High School AP Calculus Site
Computer-Based Calculus
This Web site is part of the Old Dominion University Calculus Project. It contains interactive tests and tutorials on techniques of integration and infinite series. There are also animations providing instruction on limits, derivatives, arc length, infinite series, and parametric and polar curves.
Computer-Based Calculus
Calculus-Help.com
This Web site is maintained by W. Michael Kelley, author of Master the AP Calculus AB and BC Tests, published by ARCO, and The Complete Idiot's Guide to Calculus. Since 1998, this site has provided its users with practice and detailed solutions to the types of problems they see every day in their classes.
Calculus-Help.com
Calculus@Internet
This site is an extensive collection of links organized by topic. The main topics include calculus, curriculum material, and technology. There is even a special section devoted to the AP Calculus AB Exam. Most of the links under calculus are notes, with various styles, graphics, and fonts. There are sections on differential calculus, integral calculus, sequences and series, and multivariable calculus.
Calculus@Internet
Dr. Vogel's Gallery of Calculus Pathologies
Maybe not so useful in AP Exam preparation, but this is quite an interesting site for the more talented and curious students, and of course, for teachers. This site contains 14 examples of functions with unexpected characteristics -- for example, a function that is continuous at only one point or a function that is differentiable at a single point and discontinuous everywhere else.
Dr. Vogel's Gallery of Calculus Pathologies
Find the Error
Doug Shaw's Find the Error Web site provides the type of mathematical puzzles in a humorous format that AP students tend to enjoy. Included on the site are 11 proofs that eventually lead to contradictions, such as 1 = 0 or sin a = -5. Students are expected to go through the proof, find the error, and confront common misconceptions about important concepts in calculus.
Find the Error
MacTutor History of Mathematics Archive
This site features biographies of mathematicians listed chronologically and by name, birth date, birthplace, and gender. The biographies usually include a picture and links to other information about the mathematician.
MacTutor History of Mathematics Archive
Hotmath.com
This is a commercial Web site that has content provided by math teachers and professors to assist students in their courses. It serves students of introductory and intermediate algebra, trigonometry, precalculus, and calculus. The site provides detailed, tutorial-style solutions for many of the widely used textbooks in each field.
Hotmath.com
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