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Calculus : CliffsQuickReview Calculus, Anton/Bivens/Davis Version

Calculus : CliffsQuickReview Calculus, Anton/Bivens/Davis Version - 03 edition

ISBN13: 978-0764542251

Cover of Calculus : CliffsQuickReview Calculus, Anton/Bivens/Davis Version 03 (ISBN 978-0764542251)
ISBN13: 978-0764542251
ISBN10: 0764542257
Cover type:
Edition/Copyright: 03
Publisher: Cliffs Notes, Inc.
Published: 2003
International: No

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Calculus : CliffsQuickReview Calculus, Anton/Bivens/Davis Version - 03 edition

ISBN13: 978-0764542251

Cliffs Quick Review Publishing Staff

ISBN13: 978-0764542251
ISBN10: 0764542257
Cover type:
Edition/Copyright: 03
Publisher: Cliffs Notes, Inc.

Published: 2003
International: No
Summary

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.

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Table of Contents

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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