The Calculus Collection: A Resource for AP and Beyond
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.The MAA has twice previously issued a calculus reader, collecting articles on calculus from its journals: Selected Papers in Calculus, published in 1969 and reprinted as Part I of A Century of Calculus, and Part II published in 1992. In a sense The Calculus Collection is the third volume in that series, but different in that it is a collection chosen for its usefulness to those who teach first-year calculus in high schools as well as colleges and universities.
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Graphs of Rational Functions for Computer Assisted Calculus
The Derivative from Fermat
Careers in Mathematics 2nd edition edited by Andrew Sterrett
Derivatives Without Limits
Rolle over LagrangeAnother Shot at the Mean Value Theorem
A Note on the Derivative of a Composite Function
Do Dogs Know Calculus?
Do Dogs Know Bifurcations?
The Indeterminate Form 0
A Useful Notation for Rules of Differentiation
Sums and Differences vs Integrals and Derivatives
How Do You Slice the Bread?
Disks Shells and Integrals of Inverse Functions
Gabriels Wedding Cake
A Paradoxical Paint Pail
The Story of Related Rates
The Falling Ladder Paradox
How Not to Land at Lake Tahoe
To Build a Better Box
The Curious 13
A Dozen Minima for a Parabola
Constrained Optimization and Implicit Differentiation
Roast or Light a Fire?
Descartes Tangent Lines
Differentiate Early Differentiate Often
LHopitals Rule Via Integration
Finding Curves with Computable Arc Length
The Trapezoidal Rule for Increasing Functions
Pictures Suggest How to Improve Elementary Numeric Integration
The Geometric Series in Calculus
A Visual Approach to Geometric Series
Proof Without Words
On Rearrangements of the Alternating Harmonic Series
A Differentiation Test for Absolute Convergence
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