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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 | |