Counterexamples in Calculus
Part of Classroom Resource Materials
- Author: Sergiy Klymchuk, Auckland University of Technology
- Date Published: March 2010
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
- format: Paperback
- isbn: 9780883857656
Paperback
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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.
Read more- Provides a novel approach to teaching calculus courses
- Constitutes an introductory counterpart to the well-known Counterexamples in Analysis
- May be used either as a classroom aid, or as a learning resource for students
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×Product details
- Date Published: March 2010
- format: Paperback
- isbn: 9780883857656
- length: 112 pages
- dimensions: 230 x 152 x 5 mm
- weight: 0.16kg
- contains: 112 b/w illus. 2 colour illus.
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
Foreword
Introduction
Part I. Statements:
1. Functions
2. Limits
3. Continuity
4. Differential calculus
5. Integral calculus
Part II. Suggested Solutions:
6. Functions
7. Limits
8. Continuity
9. Differential calculus
10. Integral calculus
References.
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