CliffsQuickReview Anton's Calculus

Overview

We take great notes–and make learning a snap

When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core Calculus concepts–from functions, limits, and derivatives to differentials, integration, and definite integrals– and get the best possible grade.

At CliffsNotes, we’re dedicated to helping you do your best, no matter how challenging the subject. ...

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Overview

We take great notes–and make learning a snap

When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core Calculus concepts–from functions, limits, and derivatives to differentials, integration, and definite integrals– and get the best possible grade.

At CliffsNotes, we’re dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase– and zero in on the essential information you need to succeed.

Make the grade with CliffsQuickReviews

CliffsQuickReviews are available for more than 30 introductory level courses. See inside for a complete listing of these and other bestselling Cliffs titles.

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Product Details

  • ISBN-13: 9780764542251
  • Publisher: Houghton Mifflin Harcourt
  • Publication date: 6/16/2003
  • Series: CliffsQuickReview Series
  • Pages: 144
  • Sales rank: 1,237,593
  • Product dimensions: 9.90 (w) x 9.90 (h) x 0.90 (d)

Meet the Author

JONATHAN J. WHITE has a BA in mathematics from Coe College and an MS in mathematics from the University of Iowa. He is Assistant Professor of Mathematics at Coe College in Cedar Rapids, Iowa.

BERNARD V. ZANDY, MA, Professor of Mathematics at Fullerton College in California has been teaching secondary and college level mathematics for 34 years. A co-author of the Cliffs PSAT and SAT Preparation Guides, Mr. Zandy has been a lecturer and consultant for Bobrow Test Preparation Services, conducting workshops at California State University and Colleges since 1977.

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Table of Contents

Introduction.

Why You Need This Book.

How to Use This Book.

Using Calculus 7e by Anton/Bivens/Davis (ABD) with CQR.

Chapter 1: Review Topics.

Interval Notation.

Absolute Value.

Functions.

Linear Equations.

Trigonometric Functions.

Chapter 2: Limits.

Intuitive Definition.

Evaluating Limits.

One-sided Limits.

Infinite Limits.

Limits at Infinity.

Limits Involving Trigonometric Functions.

Continuity.

Chapter 3: The Derivative.

Definition.

Differentiation Rules.

Trigonometric Function Differentiation.

Chain Rule.

Implicit Differentiation.

Higher Order Derivatives.

Differentiation of Inverse Trigonometric Functions.

Differentiation of Exponential and Logarithmic Functions.

Chapter 4: Applications of the Derivative.

Tangent and Normal Lines.

Critical Points.

Extreme Value Theorem.

Mean Value Theorem.

Increasing/Decreasing Functions.

First Derivative Test for Relative Extrema.

Second Derivative Test for Relative Extrema.

Concavity and Points of Inflection

Maximum/Minimum Problems.

Distance, Velocity, and Acceleration.

Related Rates of Change.

Differentials.

Chapter 5: Integration.

Antiderivatives/Indefinite Integrals.

Integration Techniques.

Basic formulas.

Substitution and change of variables.

Integration by parts.

Trigonometric integrals.

Distance, Velocity, and Acceleration.

Definite Integrals.

Definition of definite integrals.

Properties of definite integrals.

The Fundamental Theorem of Calculus.

Definite integral evaluation.

Chapter 6: Applications of the Definite Integral.

Area.

Volumes of Solids with Known Cross Sections.

Volumes of Solids of Revolution.

Disk method.

Washer method.

Cylindrical shell method.

Arc Length.

CQR Review.

CQR Resource Center.

Glossary.

Appendix: Using Graphing Calculators in Calculus.

Limits.

Derivatives.

Integrals.

Index.

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