## Description

**Precalculus, Fifth Edition**, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the **Fifth Edition**, the authors recognize that students are learning in new ways, and that the classroom is evolving. The Lial team is now offering a new suite of resources to support today’s instructors and students.

New co-author Callie Daniels has experience in all classroom types including traditional, hybrid and online courses, which has driven the new MyMathLab features. For example,

**MyNotes**provide structure for student note-taking, and

**Interactive Chapter Summaries**allow students to quiz themselves in interactive examples on key vocabulary, symbols and concepts. Daniels’ experience, coupled with the long-time successful approach of the Lial series, has helped to more tightly integrate the text with online learning than ever before.

## Table of Contents

**R. Review of Basic Concepts**

R.1 Sets

R.2 Real Numbers and Their Properties

R.3 Polynomials

R.4 Factoring Polynomials

R.5 Rational Expressions

R.6 Rational Exponents

R.7 Radical Expressions

**1. Equations and Inequalities**

1.1 Linear Equations

1.2 Applications and Modeling with Linear Equations

1.3 Complex Numbers

1.4 Quadratic Equations

1.5 Applications and Modeling with Quadratic Equations

1.6 Other Types of Equations and Applications

1.7 Inequalities

1.8 Absolute Value Equations and Inequalities

**2. Graphs and Functions**

2.1 Rectangular Coordinates and Graphs

2.2 Circles

2.3 Functions

2.4 Linear Functions

2.5 Equations of Lines and Linear Models

2.6 Graphs of Basic Functions

2.7 Graphing Techniques

2.8 Function Operations and Composition

**3. Polynomial and Rational Functions**

3.1 Quadratic Functions and Models

3.2 Synthetic Division

3.3 Zeros of Polynomial Functions

3.4 Polynomial Functions: Graphs, Applications, and Models

3.5 Rational Functions: Graphs, Applications, and Models

3.6 Variation

**4. Inverse, Exponential, and Logarithmic Functions**

4.1 Inverse Functions

4.2 Exponential Functions

4.3 Logarithmic Functions

4.4 Evaluating Logarithms and the Change-of-Base Theorem

4.5 Exponential and Logarithmic Equations

4.6 Applications and Models of Exponential Growth and Decay

**5. Trigonometric Functions**

5.1 Angles

5.2 Trigonometric Functions

5.3 Evaluating Trigonometric Functions

5.4 Solving Right Triangles

**6. The Circular Functions and Their Graphs**

6.1 Radian Measure

6.2 The Unit Circle and Circular Functions

6.3 Graphs of the Sine and Cosine Functions

6.4 Translations of the Graphs of the Sine and Cosine Functions

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

6.6 Harmonic Motion

**7. Trigonometric Identities and Equations**

7.1 Fundamental Identities

7.2 Verifying Trigonometric Identities

7.3 Sum and Difference Identities

7.4 Double-Angle and Half-Angle Identities

7.5 Inverse Circular Functions

7.6 Trigonometric Equations

7.7 Equations Involving Inverse Trigonometric Functions

**8. Applications of Trigonometry**

8.1 The Law of Sines

8.2 The Law of Cosines

8.3 Vectors, Operation, and the Dot Product

8.4 Applications of Vectors

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

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

8.7 Polar Equations and Graphs

8.8 Parametic Equations, Graphs, and Applications

**9. Systems and Matrices**

9.1 Systems of Linear Equations

9.2 Matrix Solution of Linear Systems

9.3 Determinant Solution of Linear Systems

9.4 Partial Fractions

9.5 Nonlinear Systems of Equations

9.6 Systems of Inequalities and Linear Programming

9.7 Properties of Matrices

9.8 Matrix Inverses

**10. Analytic Geometry**

10.1 Parabolas

10.2 Ellipses

10.3 Hyperbolas

10.4 Summary of the Conic Sections

**11. Further Topics in Algebra**

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 The Binomial Theorem

11.5 Mathematical Induction

11.6 Counting Theory

11.7 Basics of Probability

Appendices

Appendix A. Polar Form of Conic Sections

Appendix B. Rotation of Axes

Appendix C. Geometry Formulas

Glossary

Solutions to Selected Exercises

Answers to Selected Exercises

Index of Applications

Index

Photo Credits## Purchase Info ?

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Precalculus, CourseSmart eTextbook, 5th Edition

Format: Safari Book

$89.99 | ISBN-13: 978-0-321-79148-1