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| BASIC ALGEBRA What Is Algebra? | |
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| Real Numbers | |
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| Exponents and Radicals | |
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| Algebraic Expressions | |
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| Fractional Expressions | |
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| Basic Equations | |
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| Review | |
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| Test | |
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| Principles of Problem Solving | |
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| Coordinates and Graphs The Coordinate Plane | |
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| Graphs of Equations | |
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| Graphing Calculators and Computers | |
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| Lines | |
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| Review | |
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| Test | |
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| Principles of Modeling | |
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| Equations And Inequalities Algebraic and Graphical Solutions of Equations | |
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| Modeling with Equations | |
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| Quadratic Equations | |
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| Complex Numbers | |
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| Other Equations | |
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| Linear Inequalities | |
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| Nonlinear Inequalities | |
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| Absolute Value | |
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| Review | |
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| Test | |
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| Focus on Problem Solving | |
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| Functions What Is a Function? | |
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| Graphs of Functions | |
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| Applied Functions: Variation | |
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| Average Rate of Change: Increasing and Decreasing Functions | |
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| Transformations of Functions | |
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| Extreme Values of Functions | |
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| Combining Functions | |
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| One-to-One Functions and Their Inverses | |
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| Review | |
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| Test | |
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| Focus on Modeling | |
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| Polynomial and Rational Functions Polynomial Functions and Their Graphs | |
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| Dividing Polynomials | |
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| Real Zeros of Polynomials | |
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| The Fundamental Theorem of Algebra | |
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| Rational Functions | |
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| Review | |
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| Test | |
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| Focus on Problem Solving | |
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| Exponential and Logarithmic Functions Exponential Functions | |
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| The Natural Exponential Function | |
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| Logarithmic Functions | |
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| Laws of Logarithms | |
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| Exponential and Logarithmic Equations | |
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| Applications of Exponential and Logarithmic Functions | |
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| Review | |
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| Test | |
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| Focus on Modeling | |
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| Trigonometric Functions of Angles Angle Measure | |
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| Trigonometry of Right Triangles | |
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| Trigonometric Function of Angles | |
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| The Law of Sines | |
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| The Law of Cosines | |
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| Review | |
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| Test | |
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| Focus on Problem Solving | |
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| Trigonometric Functions of Real Numbers The Unit Circle | |
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| Trigonometric Functions of Real Numbers | |
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| Trigonometric Graphs | |
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| More Trigonometric Graphs | |
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| Review | |
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| Test | |
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| Focus on Modeling | |
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| Analytic Trigonometry Trigonometric Identities | |
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| Addition and Subtraction Formulas | |
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| Double-Angle, Half-Angle, and Product-Sum Formulas | |
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| Inverse Trigonometric Functions | |
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| Trigonometric Equations | |
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| Trigonometric Form of Complex Numbers; DeMoivre''s Theorem | |
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| Vectors | |
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| The Dot Product | |
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| Review | |
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| Test | |
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| Focus on Problem Solving | |
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| Systems of Equations and Inequalities Systems of Equations | |
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| Pairs of Lines | |
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| Systems of Linear Equations | |
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| The Algebra of Matrices | |
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| Inverses of Matrices and Matrix Equations | |
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| Determinants and Cramer''s Rule | |
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| Systems of Inequalities | |
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| Partial Fractions | |
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| Review | |
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| Test | |
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| Focus on Modeling | |
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| Topics in Analytic Geometry Parabolas | |
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| Ellipses | |
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| Hyperbolas | |
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| Shifted Conics | |
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| Rotation of Axes | |
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| Polar Coordinates | |
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| Polar Equations of Conics | |
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| Parametric Equations | |
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| Review | |
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| Test | |
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| Focus on Modeling | |
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| Sequences and Series Sequences and Summation Notation | |
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| Arithmetic Sequences | |
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| Geometric Sequences | |
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| Annuities and Installment Buying | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Review | |
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| Test | |
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| Focus on Problem Solving | |
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| Counting and Probability Counting Principles | |
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| Permutations and Combinations | |
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| Probability | |
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| Expected Value | |
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| Review | |
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| Test | |
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| Focus on Modeling | |
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| Answers to Odd-Numbered Exercises and Chapter Tests | |
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| Index | |