## Description

## Table of Contents

**1. Functions **

1.1 Review of Functions

1.2 Representing Functions

1.3 Inverse, Exponential, and Logarithm Functions

1.4 Trigonometric Functions and Their Inverses

**2. Limits**

2.1 The Idea of Limits

2.2 Definitions of Limits

2.3 Techniques for Computing Limits

2.4 Infinite Limits

2.5 Limits at Infinity

2.6 Continuity

2.7 Precise Definitions of Limits

**3. Derivatives **

3.1 Introducing the Derivative

3.2 Rules of Differentiation

3.3 The Product and Quotient Rules

3.4 Derivatives of Trigonometric Functions

3.5 Derivatives as Rates of Change

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Derivatives of Logarithmic and Exponential Functions

3.9 Derivatives of Inverse Trigonometric Functions

3.10 Related Rates

**4. Applications of the Derivative**

4.1 Maxima and Minima

4.2 What Derivatives Tell Us

4.3 Graphing Functions

4.4 Optimization Problems

4.5 Linear Approximation and Differentials

4.6 Mean Value Theorem

4.7 L’Hôpital’s Rule

4.8 Antiderivatives

**5. Integration**

5.1 Approximating Areas under Curves

5.2 Definite Integrals

5.3 Fundamental Theorem of Calculus

5.4 Working with Integrals

5.5 Substitution Rule

**6. Applications of Integration**

6.1 Velocity and Net Change

6.2 Regions between Curves

6.3 Volume by Slicing

6.4 Volume by Shells

6.5 Length of Curves

6.6 Physical Applications

6.7 Logarithmic and exponential functions revisited

6.8 Exponential models

**7. Integration Techniques**

7.1 Integration by Parts

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution

7.4 Partial Fractions

7.5 Other Integration Strategies

7.6 Numerical Integration

7.7 Improper Integrals

7.8 Introduction to Differential Equations

**8. Sequences and Infinite Series**

8.1 An Overview

8.2 Sequences

8.3 Infinite Series

8.4 The Divergence and Integral Tests

8.5 The Ratio and Comparison Tests

8.6 Alternating Series

**9. Power Series**

9.1 Approximating Functions with Polynomials

9.2 Power Series

9.3 Taylor Series

9.4 Working with Taylor Series

**10. Parametric and Polar Curves **

10.1 Parametric Equations

10.2 Polar Coordinates

10.3 Calculus in Polar Coordinates

10.4 Conic Sections

**11. Vectors and Vector-Valued Functions**

11.1 Vectors in the Plane

11.2 Vectors in Three Dimensions

11.3 Dot Products

11.4 Cross Products

11.5 Lines and Curves in Space

11.6 Calculus of Vector-Valued Functions

11.7 Motion in Space

11.8 Length of Curves

11.9 Curvature and Normal Vectors

**12. Functions of Several Variables**

12.1 Planes and Surfaces

12.2 Graphs and Level Curves

12.3 Limits and Continuity

12.4 Partial Derivatives

12.5 The Chain Rule

12.6 Directional Derivatives and the Gradient

12.7 Tangent Planes and Linear Approximation

12.8 Maximum/Minimum Problems

12.9 Lagrange Multipliers

**13. Multiple Integration**

13.1 Double Integrals over Rectangular Regions

13.2 Double Integrals over General Regions

13.3 Double Integrals in Polar Coordinates

13.4 Triple Integrals

13.5 Triple Integrals in Cylindrical and Spherical Coordinates

13.6 Integrals for Mass Calculations

13.7 Change of Variables in Multiple Integrals

**14. Vector Calculus**

14.1 Vector Fields

14.2 Line Integrals

14.3 Conservative Vector Fields

14.4 Green’s Theorem

14.5 Divergence and Curl

14.6 Surface Integrals

14.7 Stokes’ Theorem

14.8 Divergence Theorem

Enhance your learning experience with ** text-specific** study materials.

Student Solutions Manual, Single Variable for Calculus: Early Transcendentals

ISBN-13: 978-0-321-66410-5

$45.60 | Add to Cart

### These online resources are available at no cost.

Companion Website for Calculus

### Additional Course Materials

Insight Into Calculus: Using Texas Instruments Graphics Calculators

ISBN-13: 978-0-13-255365-0

$40.20 | Add to Cart

This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.

Package ISBN-13: 9780321709134

Includes this title packaged with:

- MathXL -- Valuepack Access Card (24-month access), 4th Edition

. . Pearson Education

$289.07 | Add to Cart

Package ISBN-13: 9780321956163

Includes this title packaged with:

- Maple Student Access Code Package

. Waterloo Maple, Inc. - MyMathLab -- Valuepack Access Card, 6th Edition

. . Pearson Education

$305.07 | Add to Cart

Package ISBN-13: 9780321731517

Includes this title packaged with:

- Student Solutions Manual, Single Variable for Calculus: Early Transcendentals

Bill L Briggs, Lyle Cochran, Bernard Gillett - MyMathLab -- Valuepack Access Card, 6th Edition

. . Pearson Education

$292.40 | Add to Cart

Package ISBN-13: 9780321716057

Includes this title packaged with:

- MyMathLab Inside Star Sticker

. . Pearson Education - MyMathLab -- Glue-in Access Card, 2nd Edition

. . Pearson Education

$289.07 | Add to Cart

## Purchase Info

### Digital Choices ?

MyLab & Mastering with Pearson eText is a complete digital substitute for a print value pack at a lower price.

#### MyLab & Mastering ?

MyLab & Mastering products deliver customizable content and highly personalized study paths, responsive learning tools, and real-time evaluation and diagnostics. MyLab & Mastering products help move students toward the moment that matters most—the moment of true understanding and learning.

Buy AccessMyMathLab with eBook -- Instant Access -- for Calculus: Early Transcendentals

$99.95 | ISBN-13: 978-0-321-66446-4

Buy AccessMathXL -- Instant Access -- for Calculus: Early Transcendentals

$85.80 | ISBN-13: 978-0-321-66589-8

### Print Choices

#### Alternative Options ?

Click on the titles below to learn more about these options.

$122.00 | ISBN-13: 978-0-321-71517-3

Single Variable Calculus: Early Transcendentals Plus MyMathLab

$153.67 | ISBN-13: 978-0-321-70946-2

Calculus: Early Transcendentals, Books a la Carte Plus MyMathLab/MyStatLab Student Access Kit

$201.33 | ISBN-13: 978-0-321-72176-1

#### Loose Leaf Version ?

Books a la Carte are less-expensive, loose-leaf versions of the same textbook.

Calculus: Early Transcendentals, Books a la Carte Edition

$186.67 | ISBN-13: 978-0-321-69294-8

Calculus: Early Transcendentals, Single Variable, Books a la Carte Edition

$186.67 | ISBN-13: 978-0-321-69295-5