Algebra and trigonometry / James Stewart, McMaster University and University of Toronto, Lothar Redlin, the Pennsylvania State University, Saleem Watson, California State University, Long Beach ; with the assistance of Phyllis Panman

Includes index.

Contents
Preface
A Tribute to Lothar Redlin
Technology in the Fifth Edition
To the Student
Are You Ready for This Course?
Prologue: Principles of Problem-Solving
Chapter P: Prerequisites
P.1 Modeling the Real World with Algebra
P.2 Real Numbers
P.3 Integer Exponents and Scientific Notation
P.4 Rational Exponents and Radicals
P.5 Algebraic Expressions
P.6 Factoring
P.7 Rational Expressions
P.8 Solving Basic Equations
P.9 Modeling with Equations
Chapter P Review
Chapter P Test
Focus on Modeling | Making Optimal Decisions
Chapter 1: Equations and Graphs
1.1 The Coordinate Plane
1.2 Graphs of Equations in Two Variables
1.3 Circles
1.4 Lines
1.5 Solving Quadratic Equations
1.7 Solving Other Types of Equations
1.8 Solving Inequalities
1.9 Solving Absolute-Value Equations and Inequalities
1.10 Solving Equations and Inequalities Graphically
1.11 Modeling Variation
Chapter 1 Review
Chapter 1 Test
Focus on Modeling | Fitting Lines to Data
Chapter 2: Functions
2.1 Functions
2.2 Graphs of Functions
2.3 Getting Information from the Graph of a Function
2.4 Average Rate of Change of a Function
2.5 Linear Functions and Models
2.6 Transformations of Functions
2.7 Combining Functions
2.8 One-to-One Functions and Their Inverses
Chapter 2 Review
Chapter 2 Test
Focus on Modeling | Modeling with Functions
Chapter 3: Polynomial and Rational Functions
3.1 Quadratic Functions and Models
3.2 Polynomial Functions and Their Graphs
3.3 Dividing Polynomials
3.4 Real Zeros of Polynomials
3.5 Complex Zeros and the Fundamental Theorem of Algebra
3.6 Rational Functions
3.7 Polynomial and Rational Inequalities
Chapter 3 Review
Chapter 3 Test
Focus on Modeling | Fitting Polynomial Curves to Data
Chapter 4: Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 The Natural Exponential Function
4.3 Logarithmic Functions
4.4 Laws of Logarithms
4.5 Exponential and Logarithmic Equations
4.6 Modeling with Exponential Functions
4.7 Logarithmic Scales
Chapter 4 Review
Chapter 4 Test
Focus on Modeling | Fitting Exponential and Power Curves to Data
Chapter 5: Trigonometric Functions: Right Triangle Approach
5.1 Angle Measure
5.2 Trigonometry of Right Triangles
5.3 Trigonometric Functions of Angles
5.4 Inverse Trigonometric Functions and Right Triangles
5.5 The Law of Sines
5.6 The Law of Cosines
Chapter 5 Review
Chapter 5 Test
Focus on Modeling | Surveying
Chapter 6: Trigonometric Functions: Unit Circle Approach
6.1 The Unit Circle
6.2 Trigonometric Functions of Real Numbers
6.3 Trigonometric Graphs
6.4 More Trigonometric Graphs
6.5 Inverse Trigonometric Functions and Their Graphs
6.6 Modeling Harmonic Motion
Chapter 6 Review
Chapter 6 Test
Focus on Modeling | Fitting Sinusoidal Curves to Data
Chapter 7: Analytic Trigonometry
7.1 Trigonometric Identities
7.2 Addition and Subtraction Formulas
7.3 Double-Angle, Half-Angle, and Product-Sum Formulas
7.4 Basic Trigonometric Equations
7.5 More Trigonometric Equations
Chapter 7 Review
Chapter 7 Test
Focus on Modeling | Traveling and Standing Waves
Chapter 8: Polar Coordinates, Parametric Equations, and Vectors
8.1 Polar Coordinates
8.2 Graphs of Polar Equations
8.3 Polar Form of Complex Numbers; De Moivre's Theorem
8.4 Plane Curves and Parametric Equations
8.5 Vectors
8.6 The Dot Product
Chapter 8 Review
Chapter 8 Test
Focus on Modeling | The Path of a Projectile
Chapter 9: Systems of Equations and Inequalities
9.1 Systems of Linear Equations in Two Variables
9.2 Systems of Linear Equations in Several Variables
9.3 Partial Fractions
9.4 Systems of Nonlinear Equations
9.5 Systems of Inequalities
Chapter 9 Review
Chapter 9 Test
Focus on Modeling | Linear Programming
Chapter 10: Matrices and Determinants
10.1 Matrices and Systems of Linear Equations
10.2 The Algebra of Matrices
10.3 Inverses of Matrices and Matrix Equations
10.4 Determinants and Cramer's Rule
Chapter 10 Review
Chapter 10 Test
Focus on Modeling | Computer Graphics
Chapter 11: Conic Sections
11.1 Parabolas
11.2 Ellipses
11.3 Hyperbolas
11.4 Shifted Conics
11.5 Rotation of Axes
11.6 Polar Equations of Conics
Chapter 11 Review
Chapter 11 Test
Focus on Modeling | Conics in Architecture
Chapter 12: Sequences and Series
12.1 Sequences and Summation Notation
12.2 Arithmetic Sequences
12.3 Geometric Sequences
12.4 Mathematical Induction
12.5 The Binomial Theorem
Chapter 12 Review
Chapter 12 Test
Focus on Modeling | Modeling with Recursive Sequences
Chapter 13: Counting and Probability
13.1 Counting
13.2 Probability
13.3 Binomial Probability
13.4 Expected Value
Chapter 13 Review
Chapter 13 Test
Focus on Modeling | The Monte Carlo Method
Appendix A: Geometry Review
Answers to Selected Exercises and Chapter Tests
Index

Gain a solid foundation in the principles of mathematical thinking with the algebra and trigonometry textbook that's written so you can understand it. ALGEBRA AND TRIGONOMETRY, 5th Edition by best-selling author team Stewart/Redlin/Watson explains concepts simply and clearly, helping you grasp the math that you need to succeed in this course. This edition provides updated guidelines on how to solve problems for each topic. New, helpful review and revised practice opportunities work with new content as the authors introduce problem solving and mathematical modeling early in the book and emphasize these principles throughout. Comprehensive and evenly paced, this edition introduces the function concept and guides you in using a graphing calculator as you develop insights into mathematical ideas. Online WebAssign resources are also available to provide interactive practice and assist you in mastering key principles--Provided by VitalSource