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Index
Cover
Title Page
Copyright
Contents
Preface
Features
Applications Index
CHAPTER R: Basic Algebraic Operations
R-1 Algebra and Real Numbers
R-2 Exponents and Radicals
R-3 Polynomials: Basic Operations and Factoring
R-4 Rational Expressions: Basic Operations
Chapter R: Review
Chapter R: Review Exercises
CHAPTER 1 Equations and Inequalities
1-1 Linear Equations and Applications
1-2 Linear Inequalities
1-3 Absolute Value in Equations and Inequalities
1-4 Complex Numbers
1-5 Quadratic Equations and Applications
1-6 Additional Equation-Solving Techniques
Chapter 1 Review
Chapter 1 Review Exercises
Chapter 1 Group Activity: Solving a Cubic Equation
CHAPTER 2 Graphs
2-1 Cartesian Coordinate Systems
2-2 Distance in the Plane
2-3 Equation of a Line
2-4 Linear Equations and Models
Chapter 2 Review
Chapter 2 Review Exercises
Chapter 2 Group Activity: Average Speed
CHAPTER 3 Functions
3-1 Functions
3-2 Graphing Functions
3-3 Transformations of Functions
3-4 Quadratic Functions
3-5 Operations on Functions; Composition
3-6 Inverse Functions
Chapter 3 Review
Chapter 3 Review Exercises
Chapter 3 Group Activity: Mathematical Modeling: Choosing a Cell Phone Plan
CHAPTER 4 Polynomial and Rational Functions
4-1 Polynomial Functions, Division, and Models
4-2 Real Zeros and Polynomial Inequalities
4-3 Complex Zeros and Rational Zeros of Polynomials
4-4 Rational Functions and Inequalities
4-5 Variation and Modeling
Chapter 4 Review
Chapter 4 Review Exercises
Chapter 4 Group Activity: Interpolating Polynomials
CHAPTER 5 Exponential and Logarithmic Functions
5-1 Exponential Functions
5-2 Exponential Models
5-3 Logarithmic Functions
5-4 Logarithmic Models
5-5 Exponential and Logarithmic Equations
Chapter 5 Review
Chapter 5 Review Exercises
Chapter 5 Group Activity: Comparing Regression Models
CHAPTER 6 Trigonometric Functions
6-1 Angles and Their Measure
6-2 Right Triangle Trigonometry
6-3 Trigonometric Functions: A Unit Circle Approach
6-4 Properties of Trigonometric Functions
6-5 More General Trigonometric Functions and Models
6-6 Inverse Trigonometric Functions
Chapter 6 Review
Chapter 6 Review Exercises
Chapter 6 Group Activity: A Predator–Prey Analysis Involving Mountain Lions and Deer
CHAPTER 7 Trigonometric Identities and Conditional Equations
7-1 Basic Identities and Their Use
7-2 Sum, Difference, and Cofunction Identities
7-3 Double-Angle and Half-Angle Identities
7-4 Product–Sum and Sum–Product Identities
7-5 Trigonometric Equations
Chapter 7 Review
Chapter 7 Review Exercises
Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)—A Harmonic Analysis Tool
CHAPTER 8 Additional Topics in Trigonometry
8-1 Law of Sines
8-2 Law of Cosines
8-3 Vectors in the Plane
8-4 Polar Coordinates and Graphs
8-5 Complex Numbers and De Moivre's Theorem
Chapter 8 Review
Chapter 8 Review Exercises
Chapter 8 Group Activity: Polar Equations of Conic Sections
CHAPTER 9 Additional Topics in Analytic Geometry
9-1 Conic Sections; Parabola
9-2 Ellipse
9-3 Hyperbola
9-4 Translation and Rotation of Axes
Chapter 9 Review
Chapter 9 Review Exercises
Chapter 9 Group Activity: Focal Chords
CHAPTER 10 Systems of Equations and Matrices
10-1 Systems of Linear Equations
10-2 Solving Systems of Linear Equations Using Gauss-Jordan Elimination
10-3 Matrix Operations
10-4 Solving Systems of Linear Equations Using Matrix Inverse Methods
10-5 Determinants and Cramer's Rule
Chapter 10 Review
Chapter 10 Review Exercises
Chapter 10 Group Activity: Modeling with Systems of Linear Equations
CHAPTER 11 Sequences, Induction, and Probability
11-1 Sequences and Series
11-2 Mathematical Induction
11-3 Arithmetic and Geometric Sequences
11-4 Multiplication Principle, Permutations, and Combinations
11-5 Sample Spaces and Probability
11-6 The Binomial Formula
Chapter 11 Review
Chapter 11 Review Exercises
Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
Appendix A: Cumulative Review Exercises
Appendix B: Special Topics
Appendix C: Geometric Formulas
Student Answers SA1 Instructor Answers
Subject Index
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