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Counterexamples in Calculus : Classroom Resource Materials - Sergiy Klymchuk

Counterexamples in Calculus

Classroom Resource Materials

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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, for high school and college students as a learning resource, and as a professional development resource for calculus instructors.

Foreword
Introduction
Statements
Functions
Limits
Continuity
Differential calculus
Integral calculus
Suggested Solutions
Functions
Limits
Continuity
Differential calculus
Integral calculus
References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780883857656
ISBN-10: 0883857650
Series: Classroom Resource Materials
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 112
Published: 9th December 2009
Country of Publication: US
Dimensions (cm): 22.23 x 14.61  x 0.64
Weight (kg): 0.16