## Description

**Note: **You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase *both *the physical text and MyMathLab, search for:

0321965167 / 9780321965165 Calculus for Early Transcendentals Plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:

0321947347 / 9780321947345 Calculus: Early Transcendentals

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

## Table of Contents

**1. Functions **

1.1 Review of functions

1.2 Representing functions

1.3 Inverse, exponential, and logarithmic 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 Working with derivatives

3.3 Rules of differentiation

3.4 The product and quotient rules

3.5 Derivatives of trigonometric functions

3.6 Derivatives as rates of change

3.7 The Chain Rule

3.8 Implicit differentiation

3.9 Derivatives of logarithmic and exponential functions

3.10 Derivatives of inverse trigonometric functions

3.11 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 Newton’s Method

4.9 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 Surface area

6.7 Physical applications

6.8 Logarithmic and exponential functions revisited

6.9 Exponential models

6.10 Hyperbolic functions

**7. Integration Techniques**

7.1 Basic approaches

7.2 Integration by parts

7.3 Trigonometric integrals

7.4 Trigonometric substitutions

7.5 Partial fractions

7.6 Other integration strategies

7.7 Numerical integration

7.8 Improper integrals

7.9 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, Root, and Comparison Tests

8.6 Alternating series

**9. Power Series**

9.1 Approximating functions with polynomials

9.2 Properties of 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

14.6 Stokes’ theorem

14.8 Divergence theorem

Appendix A. Algebra Review

Appendix B. Proofs of Selected Theorems

**D1. Differential Equations (online)**

D1.1 Basic Ideas

D1.2 Direction Fields and Euler’s Method

D1.3 Separable Differential Equations

D1.4 Special First-Order Differential Equations

D1.5 Modeling with Differential Equations

**D2. Second-Order Differential Equations (online)**

D2.1 Basic Ideas

D2.2 Linear Homogeneous Equations

D2.3 Linear Nonhomogeneous Equations

D2.4 Applications

D2.5 Complex Forcing Functions
Enhance your learning experience with ** text-specific** study materials.

ISBN-13: 978-0-321-95431-2

~~$46.20~~ $43.89 | Add to Cart

Student Solutions Manual, Single Variable for Calculus: Early Transcendentals, 2nd Edition

ISBN-13: 978-0-321-95432-9

~~$46.20~~ $43.89 | 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: 9780134714158

Includes this title packaged with:

- MyLab Math Inside Star Sticker

Pearson Education, . . Pearson Education - Student Solutions Manual, Multivariable for Calculus and Calculus: Early Transcendentals, 2nd Edition

William L. Briggs, Lyle Cochran, Bernard Gillett - MyLab Math -- Glue-in Access Card, 2nd Edition

. . Pearson Education - Student Solutions Manual, Single Variable for Calculus: Early Transcendentals, 2nd Edition

William L. Briggs, Lyle Cochran, Bernard Gillett

~~$310.53~~ $295.00 | Add to Cart

### Digital

Calculus: Early Transcendentals (Subscription), 2nd Edition

Add to Cart$54.99 | ISBN-13: 978-0-321-95440-4

MathXL -- Instant Access -- for Calculus: Early Transcendentals, 2nd Edition

Buy Access$85.80 | ISBN-13: 978-0-321-95445-9

Calculus Early Transcendentals, 2e with Integrated Review, 2nd Edition

Buy Access$103.95 | ISBN-13: 978-0-13-409272-0

MyLab Math with eBook -- Instant Access -- for Calculus: Early Transcendentals, 2nd Edition

Buy Access$103.95 | ISBN-13: 978-0-321-95407-7

### Digital + Print

~~$215.33~~ $204.56 |
ISBN-13: 978-0-321-97729-8

Single Variable Calculus: Early Transcendentals, 2nd Edition

Add to Cart~~$140.40~~ $133.38 |
ISBN-13: 978-0-321-95423-7

Calculus: Early Transcendentals, Books a la Carte Edition, 2nd Edition

Add to Cart~~$188.67~~ $179.24 |
ISBN-13: 978-0-321-95442-8

Calculus: Early Transcendentals, 2nd Edition

Add to Cart~~$277.20~~ $263.34 |
ISBN-13: 978-0-321-94734-5

*Free* Ground Shipping.