The Calculus Collection: A Resource for AP* and Beyond

Portada
Caren L. Diefenderfer, Roger B. Nelsen
American Mathematical Soc., 31 de des. 2010 - 507 pàgines
The Calculus Collection is a useful resource for everyone who teaches calculus, in high school or in a 2- or 4-year college or university. It consists of 123 articles, selected by a panel of six veteran high school teachers, each of which was originally published in Math Horizons, MAA Focus, The American Mathematical Monthly, The College Mathematics Journal, or Mathematics Magazine. The articles focus on engaging students who are meeting the core ideas of calculus for the first time. The Calculus Collection is filled with insights, alternate explanations of difficult ideas, and suggestions for how to take a standard problem and open it up to the rich mathematical explorations available when you encourage students to dig a little deeper. Some of the articles reflect an enthusiasm for bringing calculators and computers into the classroom, while others consciously address themes from the calculus reform movement. But most of the articles are simply interesting and timeless explorations of the mathematics encountered in a first course in calculus.
 

Continguts

Part 1 Functions Graphs and Limits
75
Part 2 Derivatives
93
Part 3 Integrals
293
Part 4 Polynomial Approximations and Series
455
Appendixes
497
Author Index
505
About the Editors
507
Back cover
508
Copyright

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