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The Calculus Collection

The Calculus Collection

The Calculus Collection

A Resource for AP and Beyond
Caren L. Diefenderfer, Hollins College, Virginia
Roger B. Nelsen, Lewis and Clark College, Portland
February 2010
Hardback
9780883857618
£55.00
GBP
Hardback

    The Calculus Collection is a useful resource for everyone who teaches calculus, in secondary school or in a college or university. It consists of 123 articles selected by a panel of veteran secondary school teachers. The articles focus on engaging students who are meeting the core ideas of calculus for the first time and who are interested in a deeper understanding of single-variable calculus. The Calculus Collection is filled with insights, alternative 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.

    • Each article selected by panel of high-school teachers from high-quality mathematics journals
    • Articles reflect a variety of viewpoints towards methods of teaching calculus
    • Explains difficult calculus material in novel ways

    Product details

    February 2010
    Hardback
    9780883857618
    528 pages
    260 × 184 × 32 mm
    1.1kg
    This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.

    Table of Contents

    • Part I. Functions, Graphs and Limits
    • Part II. Derivatives
    • Part III. Integrals
    • Part IV. Polynomial Approximations and Series
    • Part V. Appendixes.
      Contributors
    • David M. Bressoud, William Dunham, Jeff Knisley, Alexander J. Hahn, Victor J. Katz, Dan Kennedy, Underwood Dudley, Stan Byrd, Terry Walters, Richard L. Hall, Eugene Couch, Allen J. Schwenk, Fred Richman, John H. Mathews, Judith V. Grabiner, Harry Sedinger, Thomas W. Tucker, Robert S. Smith, Donald E. Richmond, Herb Silverman, V. N. Murty, Timothy J. Pennings, Pierre Perruchet, Jorge Gallego, Roland Minton, Bill Austin, Don Barry, David Berman, Paul Sholten, Andrew Simonson, Dan Kalman, Richard Barshinger, P. L. Roe, Kay Dundas, James E. Duemmel, John W. Dawson, Jr, John A. Frohliger, Brian Hahn, Leon M. Hall, Thomas Peter, Russell A. Gordon, Gary W. DeYoung, A. M. Fink, Juan A. Gatica, Margaret Cibes, Yael Roitberg, Joseph Roitberg, William Barnier, James Jantosciak, Duane Kouba, Robert Dawson, Joseph Wiener, Donald Hartig, R. P. Boas, Louis M. Rotando, Henry Korn, Leonard J. Lipkin, Robert M. Corless, Robert B. Gardner, Russell Jay Hendel, Tim Hesterberg, Philip M. Anselone, John W. Lee, Helen Skala, G. E. Bilodeau, Norman Schaumberger, Craig Johnson, Daniel A. Moran, Noah Samuel Brannen, Ben Ford, Harvey Diamond, Louis Raphael, Robert S. Strichartz, Jeffrey A. Graham, Roger Nelsen, Gilbert Strang, James Colin Hill, Gail Nord, Eric Malm, John Nord, Walter Carlip, Eric Key, Bettina Richmond, Tom Richmond, Julian F. Fleron, Robert M. Gethner, Mark Lynch, Pam Littleton, David A. Sanchez, John Ferdinands, Courtney Moen, Ze-Li Dou, Susan G. Staples, Bob Palais, Jack Wagner, Anthony J. Macula, M. Sayrafiedzadeh, Marc Chamberland, David Horowitz, Leonard Gillman, Jennifer Switkes, Sidney H. Kung, David A. Rose, Steven J. Kifowit, Leroy F. Meyers, V. Frederick Rickey, Philip M. Tuchinsky, S. A. Fulling, Arnold J. Insel, Sheldon P. Gordon, Füsan Akman, Sherrie J. Nicol, Douglass L. Grant, Alberto L. Delgado, Pearl Toy, Stan Wagon, Tom Farmer, Fred Gass, Carlos C. Huerta, W. Vance Underhill, Norton Starr, Jesús Urías, Frank Buck, D. Cruz-Uribe, C. J. Neugebauer, Keith Kendig, George E. Andrews, Beata Randrianantoanina, Marc Frantz, Richard Hammack, David Lyons, Fon Brown, L. O. Cannon, Joe Elich, David G. Wright, Yaser S. Abu-Mostafa, Prem N. Bajaj, Norman Schaumberger, John Quintanilla

    • Authors
    • Caren L. Diefenderfer , Hollins College, Virginia

      Caren L. Diefenderfer (AB Dartmouth College, MA, Ph.D. University of California at Santa Barbara) is Professor of Mathematics at Hollins University. Caren has been active with the AP Calculus Program for over 20 years and served as Chief Reader for AP Calculus from 2004–2007. She has been a leader with MAA efforts on Quantitative Reasoning and is currently the Chair of the MAA's Special Interest Group for the Teaching of Advanced High School Mathematics (SIGMAA TAHSM).

    • Roger B. Nelsen , Lewis and Clark College, Portland

      Roger B. Nelsen (BA DePauw University, Ph.D. Duke University) is Professor Emeritus of Mathematics at Lewis and Clark College. Roger has been an AP Calculus Reader for many years and has authored or co-authored four books for the MAA: Proofs Without Words: Exercises in Visual Thinking (1993); Proofs Without Words II: More Exercises in Visual Thinking (2000); Math Made Visual: Creating Images for Understanding Mathematics (with Claudi Alsina, 2006); and When Less Is More: Visualizing Basic Inequalities (with Claudi Alsina, 2009).