9780321497444

College Algebra and Trigonometry

David I. Schneider, Hornsby, Lial

4th Edition

The fourth edition of this college text includes new and updated examples and exercises. It is a comprehensive guide to algebra and trigonometry, with an emphasis on skills development and real-world applications.

1.1

Linear Equations

Exercises

p.88

1.2

Applications and Modeling with Linear Equations

Exercises

p.97

1.3

Complex Numbers

Exercises

p.109

1.4

Quadratic Equations

Exercises

p.119

Quiz

p.121

1.5

Applications and Modeling with Quadratic Equations

Exercises

p.126

1.6

Other Types of Equations and Applications

Exercises

p.142

Summary Exercises on Solving Equations

p.145

1.7

Inequalities

Exercises

p.154

1.8

Absolute Value Equations and Inequalities

Exercises

p.163

Review Exercises

p.170

Test

p.177

2.1

Rectangular Coordinates and Graphs

Exercises

p.190

2.2

Circles

Exercises

p.198

2.3

Fucntions

Exercises

p.213

2.4

Linear Functions

Exercises

p.225

Quiz

p.231

2.5

Equations of Lines; Curve Fitting

Exercises

p.242

Summary Exercises on Graphs, Circles, Functions, and Equations

p.247

2.6

Graph of Basic Functions

Exercises

p.255

2.7

Graphing Techniques

Exercises

p.270

Quiz

p.273

2.8

Function Operations and Composition

Exercises

p.282

Review Exercises

p.292

Test

p.297

3.1

Quadratic Functions and Models

Exercises

p.311

3.2

Synthetic Division

Exercises

p.326

3.3

Zeros of Polynomial Functions

Exercises

p.337

3.4

Polynomial Functions: Graphs, Applications, and Models

Exercises

p.351

Summary Exercises on Polynomial Functions, Zeros, and Graphs

p.358

3.5

Rational Functions: Graphs, Applications, and Models

Exercises

p.371

Quiz

p.379

3.6

Variation

Exercises

p.383

Review Exercises

p.393

Test

p.398

4.1

Inverse Functions

Exercises

p.411

4.2

Exponential Functions

Exercises

p.427

4.3

Logarithmic Functions

Exercises

p.441

Summary Exercises on Inverse, Exponential, and Logarithmic Functions

p.445

4.4

Evaluating Logarithms and the Change-of-Base Theorem

Exercises

p.453

Quiz

p.458

4.5

Expoential and Logarithmic Functions

Exercises

p.464

4.6

Applications and Models of Exponential Growth and Decay

Exercises

p.475

Summary Exercises on Functions: Domains and Defining Equations

p.482

Review Exercises

p.487

Test

p.490

Quantitative Reasoning

p.492

6.1

Radian Measures

Exercises

p.564

6.2

The Unit Circle and Circular Functions

Exercises

p.580

6.3

Graphs of the Sine and Cosine Functions

Exercises

p.593

6.4

Translations of the Graphs of the Sine and Cosine Functions

Exercises

p.604

Quiz

p.607

6.5

Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions

Exercises

p.620

Summary Exercises on Graphing Circular Functions

p.623

6.6

Harmonic Motion

Exercises

p.626

Review Exercises

p.632

Test

p.638

Quantitative Reasoning

p.640

7.1

Fundamental Identities

Exercises

p.645

7.2

Verifying Trigonometric Identities

Exercises

p.654

7.3

Sum and Difference Identities

Exercises

p.666

Quiz

p.671

7.4

Double-Angle and Half-Angle Identities

Exercises

p.681

Summary Exercises on Verifying Trigonometric Identities

p.685

7.5

Inverse Circular Functions

Exercises

p.696

7.6

Trigonometric Equations

Exercises

p.708

Quiz

p.712

7.7

Equations Involving Inverse Trigonometric Functions

Exercises

p.715

Review Exercises

p.722

Test

p.727

8.1

The Law of Sines

Exercises

p.741

8.2

The Law of Cosines

Exercises

p.755

Quiz

p.762

8.3

Vectors, Operations, and the Dot Product

Exercises

p.770

8.4

Applications of Vectors

Exercises

p.776

Summary Exercises on Applications of Trigonometry and Vectors

p.779

8.5

Trigonometric (Polar) Form of Complex Numbers; Products and Quotients

Exercises

p.788

8.6

De Moivre's Theorem; Powers and Roots of Complex Numbers

Exercises

p.796

Quiz

p.799

8.7

Polar Equations and Graphs

Exercises

p.808

8.8

Parametric Equations, Graphs, and Applications

Exercises

p.818

Review Exercises

p.827

Test

p.833

Quantitative Reasoning

p.835

9.1

Systems of Linear Equations

Exercises

p.848

9.2

Matrix Solution of Linear Systems

Exercises

p.862

9.3

Determinant Solution of Linear Systems

Exercises

p.874

9.4

Partial Fractions

Exercises

p.884

Quiz

p.885

9.5

Nonlinear Systems of Equations

Exercises

p.893

Summary Exercises on Systems of Equations

p.897

9.6

Systems of Inequalities and Linear Programming

Exercises

p.904

9.7

Properties of Matrices

Exercises

p.918

9.8

Matrix Inverses

Exercises

p.931

Review Exercises

p.941

Test

p.946

Quantitative Reasoning

p.948

11.1

Sequences and Series

Exercises

p.1003

11.2

Arithmetic Sequences and Series

Exercises

p.1014

11.3

Geometric Sequences and Series

Exercises

p.1023

Summary Exercises on Sequences and Series

p.1027

11.4

The Binomial Theorem

Exercises

p.1034

11.5

Mathematical Induction

Exercises

p.1041

Quiz

p.1042

11.6

Counting Theory

Exercises

p.1049

11.7

Basics of Probability

Exercises

p.1060

Review Exercises

p.1069

Test

p.1072

Quantitative Reasoning

p.1073

Appendix A Exercises

p.1078

Appendix B Exercises

p.1082