9781305071759

Precalculus: Mathematics for Calculus

Lothar Redlin, Stewart, Watson

7th Edition

This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept

1.1

Real Numbers

Exercises

p.10

1.2

Exponents and Radicals

Exercises

p.21

1.3

Algebraic Expressions

Exercises

p.33

1.4

Rational Expressions

Exercises

p.42

1.5

Equations

Exercises

p.55

1.6

Complex Numbers

Exercises

p.63

1.7

Modeling with Equations

Exercises

p.75

1.8

Inequalities

Exercises

p.88

1.9

The Coordinate Plane; Graphs of Equations; Circles

Exercises

p.101

1.10

Lines

Exercises

p.114

1.11

Solving Equations and Inequalities Graphically

Exercises

p.121

1.12

Modeling Variation

Exercises

p.127

Review Exercises

p.133

Test

p.137

Focus on Modeling - Problems

p.144

2.1

Functions

Exercises

p.155

2.2

Graphs of Functions

Exercises

p.166

2.3

Getting Information from the Graph of a Function

Exercises

p.178

2.4

Average Rate of Change of a Function

Exercises

p.187

2.5

Linear Functions and Models

Exercises

p.195

2.6

Transformations of Functions

Exercises

p.206

2.7

Combining Functions

Exercises

p.216

2.8

One-to-One Functions and Their Inverses

Exercises

p.225

Concept Check

p.230

Excercises

p.231

Test

p.235

Problems

p.240

3.1

Quadratic Functions and Models

Exercises

p.251

3.2

Polynomial Functions and Their Graphs

Exercises

p.265

3.3

Dividing Polynomials

Exercises

p.273

3.4

Real Zeros of Polynomials

Exercises

p.283

3.5

Complex Zeros and the Fundamental Theorem of Algebra

Exercises

p.293

3.6

Rational Functions

Exercises

p.308

3.7

Polynomial and Rational Inequalities

Exercises

p.316

Exercises

p.320

Test

p.323

Problems

p.327

4.1

Exponential Functions

Exercises

p.336

4.2

The Natural Exponential Function

Exercises

p.341

4.3

Logarithmic Functions

Exercises

p.351

4.4

Laws of Logarithms

Exercises

p.358

4.5

Exponential and Logarithmic Equations

Exercises

p.368

4.6

Modeling with Exponential Functions

Exercises

p.378

4.7

Logarithmic Scales

Exercises

p.385

Exercises

p.388

Test

p.391

Problems

p.398

5.1

The Unit Circle

Exercises

p.407

5.2

Trigonometric Functions of Real Numbers

Exercises

p.416

5.3

Trigonometric Graphs

Exercises

p.429

5.4

More Trigonometric Graphs

Exercises

p.438

5.5

Inverse Trigonometric Functions and Their Graphs

Exercises

p.444

5.6

Modeling Harmonic Motion

Exercises

p.456

Exercises

p.463

Test

p.465

Problems

p.469

6.1

Angle Measure

Exercises

p.478

6.2

Trigonometry of Right Triangles

Exercises

p.487

6.3

Trigonometric Functions of Angles

Exercises

p.498

6.4

Inverse Trigonometric Functions and Right Triangles

Exercises

p.506

6.5

The Law of Sines

Exercises

p.513

6.6

The Law of Cosines

Exercises

p.520

Exercises

p.527

Test

p.531

Problems

p.534

7.1

Trigonometric Identities

Exercises

p.542

7.2

Addition and Subtraction Formulas

Exercises

p.551

7.3

Double-Angle, Half-Angle, and Product-Sum Formulas

Exercises

p.560

7.4

Basic Trigonometric Equations

Exercises

p.568

7.5

More Trigonometric Equations

Exercises

p.574

Exercises

p.578

Test

p.580

Problems

p.584

9.1

Vectors in Two Dimensions

Exercises

p.637

9.2

The Dot Product

Exercises

p.646

9.3

Three-Dimensional Coordinate Geometry

Exercises

p.652

9.4

Vectors in Three Dimensions

Exercises

p.658

9.5

The Cross Product

Exercises

p.665

9.6

Equations of Lines and Planes

Exercises

p.669

Exercises

p.673

Test

p.675

Problems

p.678

10.1

Systems of Linear Equations in Two Variables

Exercises

p.688

10.2

Systems of Linear Equations in Several Variables

Exercises

p.696

10.3

Matrices and Systems of Linear Equations

Exercises

p.709

10.4

The Algebra of Matrices

Exercises

p.720

10.5

Inverses of Matrices and Matrix Equations

Exercises

p.731

10.6

Determinants and Cramer's Rule

Exercises

p.742

10.7

Partial Fractions

Exercises

p.750

10.8

Systems of Nonlinear Equations

Exercises

p.754

10.9

Systems of Inequalities

Exercises

p.763

Exercises

p.770

Test

p.773

Problems

p.779

12.1

Sequences and Summation Notation

Exercises

p.850

12.2

Arithmetic Sequences

Exercises

p.856

12.3

Geometric Sequences

Exercises

p.864

12.4

Mathematics of Finance

Exercises

p.871

12.5

Mathematical Induction

Exercises

p.878

12.6

The Binomial Theorem

Exercises

p.886

Exercises

p.889

Test

p.892

Problems

p.895