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Calculator Calculus

  • Book
  • © 1982

Overview

Authors:
  1. George McCarty

    1. University of California, Irvine, USA

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Table of contents (14 chapters)

  1. Front Matter

    Pages N1-xiv
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  2. Squares, Square Roots, and the Quadratic Formula

    • George McCarty
    Pages 1-13

  3. More Functions and Graphs

    • George McCarty
    Pages 14-26

  4. Limits and Continuity

    • George McCarty
    Pages 27-36

  5. Differentiation, Derivatives, and Differentials

    • George McCarty
    Pages 37-54

  6. Maxima, Minima, and the Mean Value Theorem

    • George McCarty
    Pages 55-63

  7. Trigonometric Functions

    • George McCarty
    Pages 64-80

  8. Definite Integrals

    • George McCarty
    Pages 81-99

  9. Logarithms and Exponentials

    • George McCarty
    Pages 100-116

  10. Volumes

    • George McCarty
    Pages 117-129

  11. Curves and Polar Coordinates

    • George McCarty
    Pages 130-144

  12. Sequences and Series

    • George McCarty
    Pages 145-167

  13. Power Series

    • George McCarty
    Pages 168-183

  14. Taylor Series

    • George McCarty
    Pages 184-201

  15. Differential Equations

    • George McCarty
    Pages 202-219

  16. Back Matter

    Pages 220-256
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Keywords

About this book

How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student's own personal involvement and easy accomplishment give hi~ reassurance and en­ couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , •••• Another example is t = 0.1, 0.01, in the function e/3t+9-3)/t. ix difference quotients of numbers, rather than as values of a function that is itself the result of abstract manipulation.

Authors and Affiliations

  • University of California, Irvine, USA

    George McCarty

Bibliographic Information

  • Book Title: Calculator Calculus

  • Authors: George McCarty

  • DOI: https://doi.org/10.1007/978-1-4684-6484-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: EduCALC Publications 1982

  • Softcover ISBN: 978-0-4191-2910-3Published: 21 October 1982

  • eBook ISBN: 978-1-4684-6484-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIV, 256

  • Topics: Analysis, Science, Humanities and Social Sciences, multidisciplinary

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