Precalculus: A Right Triangle Approach, 5th edition

P. BASIC CONCEPTS OF ALGEBRA

• P.1 The Real Numbers and Their Properties
• P.2 Integer Exponents and Scientific Notation
• P.3 Polynomials
• P.4 Factoring Polynomials
• P.5 Rational Expressions
• P.6 Rational Exponents and Radicals
• Review Exercises
• Practice Test

1. EQUATIONS AND INEQUALITIES

• 1.1 Linear Equations in One Variable
• 1.2 Applications of Linear Equations: Modeling
• 1.3 Quadratic Equations
• 1.4 Complex Numbers: Quadratic Equations with Complex Solutions
• 1.5 Solving Other Types of Equations
• 1.6 Inequalities
• 1.7 Equations and Inequalities Involving Absolute Value
• Key Ideas At a Glance
• Review Exercises
• Practice Test

2. GRAPHS AND FUNCTIONS

• 2.1 The Coordinate Plane
• 2.2 Graphs of Equations
• 2.3 Lines
• 2.4 Functions
• 2.5 Properties of Functions
• 2.6 A Library of Functions
• 2.7 Transformations of Functions
• 2.8 Combining Functions; Composite Functions
• 2.9 Inverse Functions
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-2

3. POLYNOMIAL AND RATIONAL FUNCTIONS

• 3.1 Quadratic Functions
• 3.2 Polynomial Functions
• 3.3 Dividing Polynomials
• 3.4 The Real Zeros of a Polynomial Function
• 3.5 The Complex Zeros of a Polynomial Function
• 3.6 Rational Functions
• 3.7 Variation
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-3

4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

• 4.1 Exponential Functions
• 4.2 Logarithmic Functions
• 4.3 Rules of Logarithms
• 4.4 Exponential and Logarithmic Equations and Inequalities
• 4.5 Logarithmic Scales; Modeling
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-4

5.  TRIGONOMETRIC FUNCTIONS

• 5.1 Angles and Their Measure
• 5.2 Right-Triangle Trigonometry
• 5.3 Trigonometric Functions of Any Angle; The Unit Circle
• 5.4 Graphs of the Sine and Cosine Functions
• 5.5 Graphs of the Other Trigonometric Functions
• 5.6 Inverse Trigonometric Functions
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-5  

6. TRIGONOMETRIC IDENTITIES AND EQUATIONS

• 6.1 Trigonometric Identities
• 6.2 Sum and Difference Formulas
• 6.3 Double-Angle and Half-Angle Formulas
• 6.4 Product-to-Sum and Sum-to-Product Formulas
• 6.5 Trigonometric Equations I
• 6.6 Trigonometric Equations II
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-6

7.  APPLICATIONS OF TRIGONOMETRIC FUNCTIONS

• 7.1 The Law of Sines
• 7.2 The Law of Cosines
• 7.3 Areas of Polygons Using Trigonometry
• 7.4 Vectors
• 7.5 The Dot Product
• 7.6 Polar Coordinates
• 7.7 Polar Form of Complex Numbers; DeMoivre's Theorem
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-7

8. SYSTEMS OF EQUATIONS AND INEQUALITIES

• 8.1 Systems of Linear Equations in Two Variables
• 8.2 Systems of Linear Equations in Three Variables
• 8.3 Partial-Fraction Decomposition
• 8.4 Systems of Nonlinear Equations
• 8.5 Systems of Inequalities
• 8.6 Linear Programming
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-8

9. MATRICES AND DETERMINANTS

• 9.1 Matrices and Systems of Equations
• 9.2 Matrix Algebra
• 9.3 The Matrix Inverse
• 9.4 Determinants and Cramer's Rule
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-9

10. CONIC SECTIONS

• 10.1 Conic Sections: Overview
• 10.2 The Parabola
• 10.3 The Ellipse
• 10.4 The Hyperbola
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-10

11. FURTHER TOPICS IN ALGEBRA

• 11.1 Sequences and Series
• 11.2 Arithmetic Sequences; Partial Sums
• 11.3 Geometric Sequences and Series
• 11.4 Mathematical Induction
• 11.5 The Binomial Theorem
• 11.6 Counting Principles
• 11.7 Probability
• Key Ideas At a Glance
• Review Exercises
• Practice Test
• Cumulative Review Exercises Chapters P-11

Answers to Selected Exercises

Credits

Index