### Overview

### Main description

The Barnett, Ziegler, Byleen, and Sobecki College Algebra series is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts.
The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text.

### Table of contents

Precalculus 7e
CHAPTER R: BASIC ALGEBRAIC OPERATIONS
R-1Algebra and Real Numbers
R-2Exponents and Radicals
R-3Polynomials: Basic Operations and Factoring
R-4Rational Expressions: Basic Operations
Chapter R Review
CHAPTER 1: EQUATIONS AND INEQUALITIES
1-1Linear Equations and Applications
1-2Linear Inequalities
1-3Absolute Value
1-4Complex Numbers
1-5Quadratic Equations and Applications
1-6Equations Involving Radicals
Chapter 1 Group Activity: Solving a Cubic Equation
Chapter 1 Review
CHAPTER 2: GRAPHS
2-1Rectangular Coordinates
2-2Distance in the Plane
2-3Equations of a Line
2-4Linear Equations and Models
Chapter 2 Group Activity: Rates of Change
Chapter 2 Review
CHAPTER 3: FUNCTIONS
3-1Functions
3-2Graphing Functions
3-3Transformations of Functions
3-3Quadratic Functions
3-5Combining Functions; Composition
3-6Inverse Functions
Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan
Chapter 3 Review
1, 2, & 3 Cumulative Review Exercises
CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS
4-1Polynomial Functions And Models
4-2Real Zeros and Polynomial Inequalities
4-3Complex Zeros and Rational Zeros of Polynomials
4-4Rational Functions and Inequalities
4-5Variation and Modeling
Chapter 4 Group Activity: Interpolating Polynomials
Chapter 4 Review
CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
5-1Exponential Functions
5-2Exponential Models
5-3Logarithmic Functions
5-4Logarithmic Models
5-5Exponential and Logarithmic Equations
Chapter 5 Group Activity: Growth of Increasing Functions
Chapter 5 Review
4 & 5 Cumulative Review Exercises
CHAPTER 6: TRIGONOMETRIC FUNCTIONS
6-1Angles and Their Measure
6-2Trigonometric Functions: A Unit Circle Approach
6-3Solving Right Triangles
6-4Trigonometric Functions: Properties and Graphs
6-5More General Trigonometric Functions
6-6Inverse Trigonometric Functions
Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer
Chapter 6 Review
CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS
7-1Basic Identities and Their Use
7-2Sum, Difference, and Cofunction Identities
7-3Double-Angle and Half-Angle Identities
7-4Product-Sum and Sum-Product Identities
7-5Trigonometric Equations
Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool
Chapter 7 Review
CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY
8-1Law of Sines
8-2Law of Cosines
8-3Vectors in the Plane
8-4Polar Coordinates and Graphs
8-5Complex Numbers and De Moivre's Theorem
Chapter 8 Group Activity: Conic Sections and Planetary Orbits
Chapter 8 Review
6, 7, & 8 Cumulative Review Exercises
CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY
9-1Conic Sections; Parabola
9-2Ellipse
9-3Hyperbola
9-4Rotation of Axes
Chapter 9 Group Activity: Focal Chords
Chapter 9 Review
CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES
10-1Systems of Linear Equations
10-2Solving Linear Systems Using Gauss-Jordan Elimination
10-3Matrix Operations
10-4Solving Linear Systems Using Inverse Matrices
10-5Determinants and Cramer's Rule
Chapter 10 Group Activity: Modeling with Systems of Linear Equations
10-6Systems of Nonlinear Equations
10-7Systems of Linear Inequalities
10-8Linear Programming
Chapter 10 Review
CHAPTER 11: SEQUENCES AND SERIES
11-1Sequences and Series
11-2Mathematical Induction
11-3Arithmetic and Geometric Sequences
11-4Counting Techniques: Multiplication Principle, Permutations, and Combinations
11-5Sample Spaces and Probability
11-6Binomial Formula
Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
Chapter 11 Review
9. 10, & 11 Cumulative Review Exercises
CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS
12-1Introduction to Limits
12-2Computing Limits Algebraically
12-3Limits at Infinity
12-4The Derivative
12-5Area and Calculus
Chapter 12 Group Activity: Derivatives of Exponential and Log Functions
Chapter 12 Review
APPENDIX A: SPECIAL TOPICS
A-1Scientific Notation and Significant Digits
A-2Partial Fractions
A-3Parametric Equations
APPENDIX B
B-1Geometric Formulas