9780534355630

Stewart Single Variable Calculus: Early Transcendentals

Stewart

4th Edition

This best-selling text differs from Calculus, 4/e in that the exponential and logarithmic functions are covered earlier. These functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and the other elementary functions.

1.1

Four Ways to Represent a Function

Exercises

p.22

1.2

Mathematical Models

Exercises

p.35

1.3

New Functions from Old Functions

Exercises

p.46

1.4

Graphing Calculators and Computers

Exercises

p.55

1.5

Exponential Functions

Exercises

p.63

1.6

Inverse Functions and Logarithms

Exercises

p.73

Concept Check

p.75

True-False Quiz

p.75

Review Exercises

p.76

2.1

The Tangent and Velocity Problems

Exercises

p.89

2.2

The Limit of a Function

Exercises

p.99

2.3

Calculating Limits Using the Limit Laws

Exercises

p.109

2.4

The Precise Definition of a Limit

Exercises

p.120

2.5

Continuity

Exercises

p.131

2.6

Limits at Infinity; Horizontal Asymptotes

Exercises

p.144

2.7

Tangents, Velocities, and Other Rates of Change

Exercises

p.154

2.8

Derivatives

Exercises

p.161

2.9

The Derivative as a Function

Exercises

p.171

Concept Check

p.174

True-False Quiz

p.174

Review Exercises

p.175

3.1

Derivatives of Polynomials and Exponential Functions

Exercises

p.189

3.2

The Product and Quotient Rules

Exercises

p.195

3.3

Rules of Change in the Natural and Social Sciences

Exercises

p.205

3.4

Derivatives of Trigonometric Functions

Exercises

p.213

3.5

The Chain Rule

Exercises

p.221

3.6

Implicit Differentiation

Exercises

p.230

3.7

Higher Derivatives

Exercises

p.237

3.8

Derivatives of Logarithmic Functions

Exercises

p.245

3.9

Hyperbolic Functions

Exercises

p.251

3.10

Related Rates

Exercises

p.257

3.11

LInear Approximations and Differentials

Exercises

p.264

Concept Check

p.267

True-False Quiz

p.267

Review Exercises

p.268

4.1

Maximum and Minimum Values

Exercises

p.284

4.2

The Mean Value Theorem

Exercises

p.293

4.3

How Derivatives Affect the Shape of a Graph

Exercises

p.302

4.4

Indeterminate Forms and L'Hospital's Rule

Exercises

p.311

4.5

Summary of Curve Sketching

Exercises

p.321

4.6

Graphing with Calculus and Calculators

Exercises

p.328

4.7

Optimization Problems

Exercises

p.334

4.8

Applications to Economics

Exercises

p.344

4.9

Newton's Method

Exercises

p.349

4.10

Antiderivatives

Exercises

p.356

Concept Check

p.359

True-False Quiz

p.359

Review Exercises

p.360

5.1

Areas and Distances

Exercises

p.376

5.2

The Definite Integral

Exercises

p.388

5.3

The Fundamental Theorem of Calculus

Exercises

p.398

5.4

Indefinite Integrals and the Total Change Theorem

Exercises

p.407

5.5

The Substitution Rule

Exercises

p.416

5.6

The Logarithm Defined as an Integral

Exercises

p.425

Concept Check

p.425

True-False Quiz

p.426

Review Exercises

p.426

7.1

Integration by Parts

Exercises

p.474

7.2

Trigonometric Integrals

Exercises

p.482

7.3

Trigonometric Substitution

Exercises

p.488

7.4

Integration of Rational Functions by Partial Fractions

Exercises

p.498

7.5

Strategy for Integration

Exercises

p.504

7.6

Integration Using Tables and Computer Algebra Systems

Exercises

p.509

7.7

Approximate Integration

Exercises

p.520

7.8

Improper Integrals

Exercises

p.531

Concept Check

p.534

True-False Quiz

p.534

Review Exercises

p.534

9.1

Modeling with Differential Equations

Exercises

p.585

9.2

Direction Fields and Euler's Method

Exercises

p.593

9.3

Separable Equations

Exercises

p.600

9.4

Exponential Growth and Decay

Exercises

p.610

9.5

The Logistic Equation

Exercises

p.619

9.6

Linear Equations

Exercises

p.626

9.7

Predator-Prey Systems

Exercises

p.632

Concept Check

p.634

True-False Quiz

p.635

Review Exercises

p.635

10.1

Curves Defined by Parametric Equations

Exercises

p.645

10.2

Tangents and Areas

Exercises

p.653

10.3

Arc Length and Surface Area

Exercises

p.659

10.4

Polar Coordinates

Exercises

p.668

10.5

Areas and Lengths in Polar Coordinates

Exercises

p.674

10.6

Conic Sections

Exercises

p.680

10.7

Conic Sections in Polar Coordinates

Exercises

p.686

Concept Check

p.688

Review Exercises

p.688

11.1

Sequences

Exercises

p.702

11.2

Series

Exercises

p.711

11.3

The Integral Test and Estimates of Sums

Exercises

p.720

11.4

The Comparison Tests

Exercises

p.725

11.5

Alternating Series

Exercises

p.730

11.6

Absolute Convergence and the Ratio and Root Tests

Exercises

p.736

11.7

Strategy for Testing Series

Exercises

p.739

11.8

Power Series

Exercises

p.744

11.9

Representations of Functions as Power Series

Exercises

p.749

11.10

Taylor and Maclaurin Series

Exercises

p.760

11.11

The Binomial Series

Exercises

p.764

11.12

Applications of Taylor Polynomials

Exercises

p.772

Concept Check

p.775

True-False Quiz

p.776

Review Exercises

p.810