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Calculus

A Lab Course with MicroCalc®

  • Textbook
  • © 1996

Overview

Authors:
  1. Harley Flanders

    1. University of Michigan, Ann Arbor, USA

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Part of the book series: Textbooks in Mathematical Sciences (TIMS)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
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  2. Functions and Graphs

    • Harley Flanders
    Pages 1-37

  3. Limits

    • Harley Flanders
    Pages 38-60

  4. The Derivative

    • Harley Flanders
    Pages 61-93

  5. Applications of Derivatives

    • Harley Flanders
    Pages 94-141

  6. Integration

    • Harley Flanders
    Pages 142-180

  7. Applications of Integration

    • Harley Flanders
    Pages 181-207

  8. Functions and Integrals

    • Harley Flanders
    Pages 208-246

  9. Approximation

    • Harley Flanders
    Pages 247-299

  10. Power Series

    • Harley Flanders
    Pages 300-319

  11. Back Matter

    Pages 320-332
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Keywords

About this book

Preface Objectives of This Book • To teach calculus as a laboratory science, with the computer and software as the lab, and to use this lab as an essential tool in learning and using calculus. • To present calculus and elementary differential equations with a minimum of fuss-through practice, not theory. • To stress ideas of calculus, applications, and problem solving, rather than definitions, theorems, and proofs. • Toemphasize numerical aspects: approximations, order of magnitude, concrete answers to problems. • To organize the topics consistent with the needs of students in their concurrent science and engineering courses. The subject matter of calculus courses has developed over many years, much by negotiation with the disciplines calculus serves, particularly engineering. This text covers the standard topics in their conventional order. Mostly because of commercial pressures, calculus texts have grown larger and larger, trying to include everything that anyone conceivably would cover. Calculus texts have also added more and more expensive pizzazz, up to four colors now. This text is lean; it eliminates most of the "fat" of recent calculus texts; it has a simple physical black/white format; it ignores much of current calculus "culture". The computer has forced basic changes in emphasis and how to teach calculus.

Authors and Affiliations

  • University of Michigan, Ann Arbor, USA

    Harley Flanders

Bibliographic Information

  • Book Title: Calculus

  • Book Subtitle: A Lab Course with MicroCalc®

  • Authors: Harley Flanders

  • Series Title: Textbooks in Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4757-2480-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1996

  • Softcover ISBN: 978-0-387-94496-8Published: 15 December 1995

  • eBook ISBN: 978-1-4757-2480-6Published: 09 March 2013

  • Series ISSN: 1431-9381

  • Edition Number: 1

  • Number of Pages: XI, 332

  • Number of Illustrations: 262 b/w illustrations

  • Topics: Real Functions

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