Precalculus: A Unit Circle Approach, 4th edition

1. Graphs and Functions

• 1.1 The Coordinate Plane
• 1.2 Graphs of Equations
• 1.3 Lines
• 1.4 Functions
• 1.5 Properties of Functions
• 1.6 A Library of Functions
• 1.7 Transformations of Functions
• 1.8 Combining Functions; Composite Functions
• 1.9 Inverse Functions
• Key Ideas At a Glance
• Review Exercises
• Practice Test

2. Polynomial and Rational Functions

• 2.1 Quadratic Functions
• 2.2 Polynomial Functions
• 2.3 Dividing Polynomials and the Rational Zeros Test
• 2.4 Rational Functions
• 2.5 Polynomial and Rational Inequalities
• 2.6 Zeros of a Polynomial Function
• 2.7 Variation
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters 1-2

3. Exponential and Logarithmic Functions

• 3.1 Exponential Functions
• 3.2 Logarithmic Functions
• 3.3 Rules of Logarithms
• 3.4 Exponential and Logarithmic Equations and Inequalities
• 3.5 Logarithmic Scales; Modeling
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters 1-3

4. Trigonometric Functions

• 4.1 Angles and Their Measure
• 4.2 The Unit Circle; Trigonometric Functions of Real Numbers
• 4.3 Trigonometric Functions of Angles
• 4.4 Graphs of the Sine and Cosine Functions
• 4.5 Graphs of the Other Trigonometric Functions
• 4.6 Inverse Trigonometric Functions
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters 1-4

5. Analytic Trigonometry

• 5.1 Trigonometric Identities
• 5.2 Sum and Difference Formulas
• 5.3 Double-Angle and Half-Angle Formulas
• 5.4 Product-to-Sum and Sum-to-Product Formulas
• 5.5 Trigonometric Equations I
• 5.6 Trigonometric Equations II
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters 1-5

6. Applications of Trigonometric Functions

• 6.1 Right-Triangle Trigonometry
• 6.2 The Law of Sines
• 6.3 The Law of Cosines
• 6.4 Vectors
• 6.5 The Dot Product
• 6.6 Polar Coordinates
• 6.7 Polar Form of Complex Numbers; DeMoivre's Theorem
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters 1-6

7. Systems of Equations and Inequalities

• 7.1 Systems of Equations in Two Variables
• 7.2 Systems of Linear Equations in Three Variables
• 7.3 Systems of Inequalities
• 7.4 Matrices and Systems of Equations
• 7.5 Determinants and Cramer's Rule
• 7.6 Partial-Fraction Decomposition
• 7.7 Matrix Algebra
• 7.8 The Matrix Inverse
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters 1-7

8. Analytic Geometry

• 8.1 Conic Sections: Overview
• 8.2 The Parabola
• 8.3 The Ellipse
• 8.4 The Hyperbola
• 8.5 Rotation of Axes
• 8.6 Polar Equations of Conics
• 8.7 Parametric Equations
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters 1-8

9. Further Topics in Algebra

• 9.1 Sequences and Series
• 9.2 Arithmetic Sequences; Partial Sums
• 9.3 Geometric Sequences and Series
• 9.4 Mathematical Induction
• 9.5 The Binomial Theorem
• 9.6 Counting Principles
• 9.7 Probability
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters 1-9

10. An Introduction to Calculus

• 10.1 Finding Limits Using Tables and Graphs
• 10.2 Finding Limits Algebraically
• 10.3 Infinite Limits and Limits at Infinity
• 10.4 Introduction to Derivatives
• 10.5 Area and the Integral
• Key Ideas At a Glance
• Review Exercises
• Practice Test

A. Review

• A.1 The Real Numbers; Integer Exponents
• A.2 Polynomials
• A.3 Rational Expressions
• A.4 Radicals and Rational Exponents
• A.5 Topics in Geometry
• A.6 Equations
• A.7 Inequalities
• A.8 Complex Numbers

Answers to Selected Exercises

Credits

Index