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Counterexamples in Calculus (Classroom Resource Materials) - Softcover

Klymchuk, Sergiy

 
9780883857656: Counterexamples in Calculus (Classroom Resource Materials)

Inhaltsangabe

A resource for introductory calculus courses. It provides incorrect mathematical statements which require students to create counterexamples to disprove them.

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Über die Autorin bzw. den Autor

Sergiy Klymchuk is an Associate Professor of the School of Computing and Mathematical Sciences at Auckland University of Technology, New Zealand. He has 29 years experience teaching university mathematics in different countries. His Ph.D. (1988) was in differential equations and recent research interests are in mathematics education and epidemic modeling. He has more than 140 publications including several books on popular mathematics and science that have been, or are being, published in 11 countries.

Von der hinteren Coverseite

Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus. In that light it may well be useful for high school teachers and university faculty as a teaching resource high school and college students as a learning resource a professional development resource for calculus instructors

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