9780134439020

Thomas' Calculus Early Transcendentals

Heil, Joel R. Hass, Maurice D. Weir

14th Edition

Thomas ISBNs /Prices *Prices to Bookstore Print Upgrade Offer= Combined: $98.95 Single variable: $49.95 Multivariable: $49.95 - MyLab Access Code* $94.50 / $103.95 Direct ET: 9780134764528 LT: 9780134764559 - Hardcover + MyLab $227.90 ET: 9780134768496 LT: 9780134768489 - Loose-leaf + MyLab $161.50 ET: 9780134768762 LT: 9780134768755 - Single Variable Hardcover + MyLab ET

1-1

Functions and their Graphs

Exercises

p.11

1-2

Combining Functions; Shifting and Scaling Graphs

Exercises

p.18

1-3

Trigonometric Functions

Exercises

p.27

1-4

Graphing with Software

Exercises

p.33

1-5

Exponential Functions

Exercises

p.37

1-6

Inverse Functions and Logarithms

Exercises

p.48

Questions to Guide Your Review

p.51

Practice Exercises

p.51

Additional and Advanced Exercises

p.53

2-1

Rates of Change and Tangent Lines to Curves

Exercises

p.61

2-2

Limit of a Function and Limit Laws

Exercises

p.71

2-3

The Precise Definition of a Limit

Exercises

p.79

2-4

One-Sided Limits

Exercises

p.88

2-5

Continuity

Exercises

p.100

2-6

Limits Involving Infinity; Asymptotes of Graphs

Exercises

p.112

Questions to Guide Your Review

p.115

Practice Exercises

p.116

Additional and Advanced Exercises

p.118

3-1

Tangent Lines and the Derivative at a Point

Exercises

p.123

3-2

The Derivative as a Function

Exercises

p.130

3-3

Differentiation Rules

Exercises

p.142

3-4

The Derivative as a Rate of Change

Exercises

p.150

3-5

Derivatives of Trigonometric Functions

Exercises

p.158

3-6

The Chain Rule

Exercises

p.166

3-7

Implicit Differentiation

Exercises

p.172

3-8

Derivatives of Inverse Functions and Logarithms

Exercises

p.183

3-9

Inverse Trigonometric Functions

Exercises

p.189

3-10

Related Rates

Exercises

p.196

3-11

Linearization and Differentials

Exercises

p.209

Questions to Guide Your Review

p.211

Practice Exercises

p.212

Additional and Advanced Exercises

p.217

4-1

Extreme Values of Functions on Closed Intervals

Exercises

p.227

4-2

The Mean Value Theorem

Exercises

p.235

4-3

Monotonic Functions and the First Derivative Test

Exercises

p.241

4-4

Concavity and Curve Sketching

Exercises

p.251

4-5

Indeterminate Forms and L’Hospital’s Rule

Exercises

p.262

4-6

Applied Optimization

Exercises

p.269

4-7

Newton’s Method

Exercises

p.279

4-8

Antiderivatives

Exercises

p.287

Questions to Guide Your Review

p.291

Practice Exercises

p.292

Additional and Advanced Exercises

p.296

5-1

Areas and Estimating with Finite Sums

Exercises

p.308

5-2

Sigma Notation and Limits of Finite Sums

Exercises

p.316

5-3

The Definite Integral

Exercises

p.326

5-4

The Fundamental Theorem of Calculus

Exercises

p.339

5-5

Indefinite Integrals and the Substitution Method

Exercises

p.348

5-6

Definite Integral Substitutions and the Area Between Curves

Exercises

p.355

Questions to Guide Your Review

p.359

Practice Exercises

p.360

Additional and Advanced Exercises

p.364

6-1

Volumes Using Cross-Sections

Exercises

p.375

6-2

Volumes Using Cylindrical Shells

Exercises

p.384

6-3

Arc Length

Exercises

p.391

6-4

Areas of Surfaces of Revolution

Exercises

p.396

6-5

Work and Fluid Forces

Exercises

p.404

6-6

Moments and Centers of Mass

Exercises

p.418

Questions to Guide Your Review

p.420

Practice Exercises

p.421

Additional and Advanced Exercises

p.423

7-1

The Logarithmic Defined as an Integral

Exercises

p.433

7-2

Exponential Change and Separable Differential Equations

Exercises

p.442

7-3

Hyperbolic Functions

Exercises

p.450

7-4

Relative Rates of Growth

Exercises

p.457

Questions to Guide Your Review

p.458

Practice Exercises

p.459

Additional and Advanced Exercises

p.460

8-1

Using Basic Integration Formulas

Exercises

p.465

8-2

Integration by Parts

Exercises

p.471

8-3

Trigonometric Integrals

Exercises

p.479

8-4

Trigonometric Substitutions

Exercises

p.484

8-5

Integration of Rational Functions by Partial Fractions

Exercises

p.491

8-6

Integral Tables and Computer Algebra Systems

Exercises

p.497

8-7

Numerical Integration

Exercises

p.506

8-8

Improper Integrals

Exercises

p.517

8-9

Probability

Exercises

p.530

Questions to Guide Your Review

p.532

Practice Exercises

p.533

Additional and Advanced Exercises

p.536

9-1

Solutions, Slope Fields, and Euler's Method

Exercises

p.546

9-2

First-Order Linear Equations

Exercises

p.552

9-3

Applications

Exercises

p.559

9-4

Graphical Solutions of Autonomous Equations

Exercises

p.566

9-5

Systems of Equations and Phase Planes

Exercises

p.570

Questions to Guide Your Review

p.573

Practice Exercises

p.573

Additional and Advanced Exercises

p.575

10-1

Sequences

Exercises

p.586

10-2

Infinite Series

Exercises

p.597

10-3

The Integral Test

Exercises

p.604

10-4

Comparison Tests

Exercises

p.610

10-5

Absolute Convergence; The Ratio and Roots Tests

Exercises

p.616

10-6

Alternating Series and Conditional Convergence

Exercises

p.622

10-7

Power Series

Exercises

p.634

10-8

Taylor and Maclaurin Series

Exercises

p.640

10-9

Convergence of Taylor Series

Exercises

p.647

10-10

Applications of Taylor Series

Exercises

p.655

Questions to Guide Your Review

p.657

Practice Exercises

p.658

Additional and Advanced Exercises

p.660

11-1

Parametrizations of Plane Curves

Exercises

p.669

11-2

Calculus with Parametric Curves

Exercises

p.680

11-3

Polar Coordinates

Exercises

p.684

11-4

Graphing Polar Coordinate Equations

Exercises

p.688

11-5

Area and Lengths in Polar Coordinates

Exercises

p.693

11-6

Conic Sections

Exercises

p.700

11-7

Conics in Polar Coordinates

Exercises

p.707

Questions to Guide Your Review

p.708

Practice Exercises

p.709

Additional and Advanced Exercises

p.711

12-1

Three-Dimensional Coordinate Systems

Exercises

p.717

12-2

Vectors

Exercises

p.726

12-3

The Dot Product

Exercises

p.734

12-4

The Cross Product

Exercises

p.741

12-5

Lines and Planes in Space

Exercises

p.749

12-6

Cylinders and Quadratic Surfaces

Exercises

p.755

Questions to Guide Your Review

p.757

Practice Exercises

p.757

Additional and Advanced Exercises

p.759

13-1

Curves in Space and Their Tangents

Exercises

p.770

13-2

Integrals of Vector Functions; Projectile Motion

Exercises

p.777

13-3

Arc Length in Space

Exercises

p.784

13-4

Curvature and Normal Vectors of a Curve

Exercises

p.790

13-5

Tangential and Normal Components of Acceleration

Exercises

p.797

13-6

Velocity and Acceleration in Polar Coordinates

Exercises

p.801

Questions to Guide Your Review

p.801

Practice Exercises

p.802

Additional and Advanced Exercises

p.804

14-1

Functions of Several Variables

Exercises

p.812

14-2

Limits and Continuity in Higher Dimensions

Exercises

p.820

14-3

Partial Derivatives

Exercises

p.832

14-4

The Chain Rule

Exercises

p.842

14-5

Directional Derivatives and Gradient Vectors

Exercises

p.852

14-6

Tangent Planes and Differentials

Exercises

p.860

14-7

Extreme Values and Saddle Points

Exercises

p.870

14-8

Lagrange Multipliers

Exercises

p.879

14-9

Taylor's Formula for Two Variables

Exercises

p.886

14-10

Partial Derivatives with Constrained Variables

Exercises

p.890

Questions to Guide Your Review

p.890

Practice Exercises

p.891

Additional and Advanced Exercises

p.894

15-1

Double and Iterated Integrals over Rectangles

Exercises

p.901

15-2

Double Integral over General Regions

Exercises

p.909

15-3

Area by Double Integration

Exercises

p.914

15-4

Double Integrals in Polar Form

Exercises

p.919

15-5

Triple Integrals in Rectangular Coordinates

Exercises

p.929

15-6

Applications

Exercises

p.939

15-7

Triple Integrals in Cylinders and Spherical Coordinates

Exercises

p.949

15-8

Substitutions in Multiple Integrals

Exercises

p.961

Questions to Guide Your Review

p.963

Practice Exercises

p.963

Additional and Advanced Exercises

p.966

16-1

Line Integrals of Scalar Functions

Exercises

p.974

16-2

Vector Fields and Line Integrals: Work, Circulation, and Flux

Exercises

p.986

16-3

Path Independence, Conservative Fields, and Potential Functions

Exercises

p.998

16-4

Green's Theorem in the Plane

Exercises

p.1010

16-5

Surfaces and Area

Exercises

p.1020

16-6

Surface Integrals

Exercises

p.1030

16-7

Stokes' Theorem

Exercises

p.1043

16-8

The Divergence Theorem and a Unified Theory

Exercises

p.1056

Questions to Guide Your Review

p.1058

Practice Exercises

p.1058

Additional and Advanced Exercises

p.1061