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| Foundations: A Prelude to Functions | |
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| The Distance and Midpoint Formulas | |
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| Graphs of Equations in Two Variables; Intercepts; Symmetry | |
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| Lines | |
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| Circles | |
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| Functions and Their Graphs | |
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| Functions | |
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| The Graph of a Function | |
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| Properties of Functions | |
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| Library of Functions; Piecewise-defined Functions | |
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| Graphing Techniques: Transformations | |
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| Mathematical Models: Constructing Functions | |
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| Building Mathematical Models Using Variation | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Linear and Quadratic Functions | |
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| Properties of Linear Functions and Linear Models | |
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| Building Linear Models from Data | |
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| Quadratic Functions and Their Zeros | |
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| Properties of Quadratic Functions | |
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| Inequalities Involving Quadratic Functions | |
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| Building Quadratic Models from Verbal Descriptions and from Data | |
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| Complex Zeros of a Quadratic Function | |
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| Equations and Inequalities Involving the Absolute Value Function | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Polynomial and Rational Functions | |
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| Polynomial Functions and Models | |
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| Properties of Rational Functions | |
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| The Graph of a Rational Function | |
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| Polynomial and Rational Inequalities | |
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| The Real Zeros of a Polynomial Function | |
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| Complex Zeros; Fundamental Theorem of Algebra | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Exponential and Logarithmic Functions | |
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| Composite Functions | |
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| One-to-One Functions; Inverse Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Logarithmic and Exponential Equations | |
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| Compound Interest | |
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| Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay | |
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| Building Exponential, Logarithmic, and Logistic Functions from Data | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Trigonometric Functions | |
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| Angles and Their Measure | |
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| Right Triangle Trigonometry | |
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| Computing the Values of Trigonometric Functions of Acute Angles | |
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| Trigonometric Functions of General Angles | |
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| Unit Circle Approach; Properties of the Trigonometric Functions | |
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| Graphs of the Sine and Cosine Functions | |
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| Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |
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| Phase Shift; Sinusoidal Curve Fitting | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Analytic Trigonometry | |
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| The Inverse Sine, Cosine, and Tangent Functions | |
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| The Inverse Trigonometric Functions (Continued) | |
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| Trigonometric Identities | |
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| Sum and Difference Formulas | |
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| Double-angle and Half-angle Formulas | |
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| Product-to-Sum and Sum-to-Product Formulas | |
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| Trigonometric Equations | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Applications of Trigonometric Functions | |
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| Applications Involving Right Triangles | |
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| The Law of Sines | |
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| The Law of Cosines | |
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| Area of a Triangle | |
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| Simple Harmonic Motion; Damped Motion; Combining Waves | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Polar Coordinates; Vectors | |
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| Polar Coordinates | |
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| Polar Equations and Graphs | |
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| The Complex Plane; DeMoivre's Theorem | |
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| Vectors | |
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| The Dot Product | |
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| Vectors in Space | |
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| The Cross Product | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Analytic Geometry | |
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| Conics | |
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| The Parabola | |
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| The Ellipse | |
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| The Hyperbola | |
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| Rotation of Axes; General Form of a Conic | |
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| Polar Equations of Conics | |
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| Plane Curves and Parametric Equations | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Systems of Equations and Inequalities | |
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| Systems of Linear Equations: Substitution and Elimination | |
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| Systems of Linear Equations: Matrices | |
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| Systems of Linear Equations: Determinants | |
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| Matrix Algebra | |
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| Partial Fraction Decomposition | |
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| Systems of Nonlinear Equations | |
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| Systems of Inequalities | |
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| Linear Programming | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Sequences; Induction; the Binomial Theorem | |
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| Sequences | |
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| Arithmetic Sequences | |
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| Geometric Sequences; Geometric Series | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Counting and Probability | |
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| Counting | |
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| Permutations and Combinations | |
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| Probability | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| A Preview of Calculus: The Limit; Derivative, and Integral of a Function | |
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| Finding Limits Using Tables and Graphs | |
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| Algebra Techniques for Finding Limits | |
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| One-sided Limits; Continuous Functions | |
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| The Tangent Problem; The Derivative | |
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| The Area Problem; The Integral | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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| Cumulative Review | |
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| Review | |
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| Algebra Essentials | |
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| Geometry Essentials | |
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| Polynomials | |
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| Factoring Polynomials | |
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| Synthetic Division | |
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| Rational Expressions | |
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| n th Roots; Rational Exponents | |
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| Solving Equations | |
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| Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs | |
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| Interval Notation; Solving Inequalities | |
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| Complex Numbers | |
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| Graphing Utilities | |
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| The Viewing Rectangle | |
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| Using a Graphing Utility to Graph Equations | |
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| Using a Graphing Utility to Locate Intercepts and Check for Symmetry | |
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| Using a Graphing Utility to Solve Equations | |
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| Square Screens | |
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| Using a Graphing Utility to Graph Inequalities | |
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| Using a Graphing Utility to Solve Systems of Linear Equations | |
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| Using a Graphing Utility to Graph a Polar Equation | |
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| Using a Graphing Utility to Graph Parametric Equations | |
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| Answers | |
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| Index | |