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The ABC's of Calculus, 1st Edition

By Angelo B. Mingarelli
Instructional Resources
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ISBN-10: 0176715975
ISBN-13: 9780176715977
Publisher: Top Hat
Edition: 1st

The ABCs of Calculus guides students in their quest towards understanding Calculus, and ultimately towards solving a variety of Calculus problems. Understanding that diversity of students in the Calculus classroom, the material in the text is presented through verbal, theoretical, practical, numerical and geometrical approaches, in order to satisfy varying learning styles.

The text provides a much valued review of basic material while working towards a goal that includes the fostering of a feeling for what Calculus is, what it does, and how you can correctly solve the problems it generates. With many completely solved examples, and hundreds of opportunities to apply concepts through problems, students will quickly build their confidence, and ultimately succeed in Calculus.

Features

  • Each chapter begins with The Big Picture which provides a basic introduction to the material given in reference to what is already known to students, and what one may expect later.
  • Shortcuts are introduced throughout the text to simplify the solution of a given exercise, to showcase how problems can be done in a faster algorithmic way.
  • Snapshot boxes consist of additional examples that outline the solution process.
  • Stop Signs located throughout the text are included in locations that explain concepts that require deeper attention.
  • Solutions to every problem and exercise have been included.

Table of Contents

  • Chapter 1: Functions and Their Properties
  • Chapter 2: Limits and Continuity
  • Chapter 3: Derivative of a Function
  • Chapter 4: Exponentials and Logarithms
  • Chapter 5: Curve Sketching
  • Chapter 6: Integration
  • Chapter 7: Techniques of Integration
  • Chapter 8: Applications of the Integral
  • Chapter 9: Simple Di?erential Equations
  • Chapter 10: Advanced Topics
  • Appendix A: Review of Exponents and Radicals
  • Appendix B: The Straight Line
  • Appendix C: A Quick Review of Trigonometry
  • Appendix D: The Natural Domain of a Function
  • Solutions Manual