Cameos for calculus : visualization in the first-year course / Roger B. Nelsen, Lewis and Clark College.

Format:

Book

Author/Creator:

Nelsen, Roger B., author.

Series:

Classroom resource materials

Classroom Resource Materials, v. 49

Language:

English

Subjects (All):

Calculus--Textbooks.

Calculus.

Calculus--Charts, diagrams, etc.

Genre:

Charts, diagrams, etc.

Textbooks.

Physical Description:

1 online resource (xiii, 171 pages)

Place of Publication:

Washington, DC : Mathematical Association of America, 2015.

System Details:

Mode of access : World Wide Web

Summary:

"A thespian or cinematographer might define a cameo as a brief appearance of a known figure, while a gemologist or lapidary might define it as a precious or semiprecious stone. This book presents fifty short enhancements or supplements (the Cameos) for the first-year calculus course in which a geometric figure briefly appears. Some of the Cameos illustrate mainstream topics such as the derivative, combinatorial formulas used to compute Riemann sums, or the geometry behind many geometric series. Other Cameos present topics accessible to students at the calculus level but not usually encountered in the course, such as the Cauchy-Schwarz inequality, the arithmetic mean-geometric mean inequality, and the Euler-Mascheroni constant. There are fifty Cameos in the book, grouped into five sections: Part I Limits and Differentiation; Part II Integration; Part III Infinite Series; Part IV Additional Topics, and Part V Appendix: Some Precalculus Topics. Many of the Cameos include exercises, so Solutions to all the Exercises follows Part V. The book concludes with References and an Index. Many of the Cameos are adapted from articles published in journals of the MAA, such as The American Mathematical Monthly, Mathematics Magazine, and The College Mathematics Journal. Some come from other mathematical journals, and some were created for this book. By gathering the Cameos into a book we hope that they will be more accessible to teachers of calculus, both for use in the classroom and as supplementary explorations for students"-- amazon.com.

Contents:

Limits and Differentiation

Integration

Infinite Series

Additional Topics

Appendix: some precalculus topics.

Notes:

Includes bibliographical references (pages 163-165) and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2018

Description based on print version record.

Other Format:

Print version: Nelsen, Roger B. Cameos for calculus :

ISBN:

9781614441205 (online)

Access Restriction:

Restricted for use by site license.