Read more about Elementary Calculus

Elementary Calculus

(1 review)

Michael Corral, Schoolcraft College

Copyright Year: 2020

Publisher: Michael Corral

Language: English

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Conditions of Use

Free Documentation License (GNU)
Free Documentation License (GNU)


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Reviewed by Esteban Diaz, Assistant Professor of Instruction, University of Texas at Arlington on 4/5/23

The approach taken by the textbook to begin with infinitesimals is truly commendable. By starting with these fundamental concepts, the reader is able to gain a deep and intuitive understanding of the subject matter. This approach also greatly... read more

Table of Contents

  • 1 The Derivative
  • 2 Derivatives of Common Functions
  • 3 Topics in Differential Calculus
  • 4 Applications of Derivatives
  • 5 The Integral
  • 6 Methods of Integration
  • 7 Analytic Geometry and Plane Curves
  • 8 Applications of Integrals
  • 9 Infinite Sequences and Series

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  • About the Book

    This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

    There are 943 exercises in the book, with answers and hints to selected exercises.

    About the Contributors


    Michael Corral, Schoolcraft College

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