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Fundamental Concepts of 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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Chapter 1 Review Exercises | |

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Chapter 1 Discussion Exercises | |

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Equations and Inequalities | |

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Equations | |

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Applied Problems | |

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Quadratic Equations | |

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Complex Numbers | |

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Other Types of Equations | |

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Inequalities | |

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More on Inequalities | |

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Chapter 2 Review Exercises | |

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Chapter 2 Discussion Exercises | |

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Functions and Graphs | |

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Rectangular Coordinate Systems | |

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Graphs of Equations | |

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Lines | |

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Definition of Function | |

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Graphs of Functions | |

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Quadratic Functions | |

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Operations on Functions | |

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Chapter 3 Review Exercises | |

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Chapter 3 Discussion Exercises | |

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Polynomial and Rational Functions | |

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Polynomial Functions of Degree Greater than 2 | |

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Properties of Division | |

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Zeros of Polynomials | |

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Complex and Rational Zeros of Polynomials | |

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Rational Functions | |

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Variation | |

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Chapter 4 Review Exercises | |

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Chapter 4 Discussion Exercises | |

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Inverse, Exponential, and Logarithmic Functions | |

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Inverse Functions | |

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Exponential Functions | |

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The Natural Exponential Function | |

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Logarithmic Functions | |

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Properties of Logarithms | |

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Exponential and Logarithmic Equations | |

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Chapter 5 Review Exercises | |

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Chapter 5 Discussion Exercises | |

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The Trigonometric Functions | |

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Angles | |

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Trigonometric Functions of Angles | |

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Trigonometric Functions of Real Numbers | |

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Values of Trigonometric Functions | |

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Trigonometric Graphs | |

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Additional Trigonometric Graphs | |

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Applied Problems | |

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Chapter 6 Review Exercises | |

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Chapter 6 Discussion Exercises | |

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Analytic Trigonometry | |

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Verifying Trigonometric Identities | |

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Trigonometric Equations | |

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The Addition and Subtraction Formulas | |

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Multiple-Angle Formulas | |

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Product-to-Sum and Sum-to-Product Formulas | |

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The Inverse Trigonometric Functions | |

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Chapter 7 Review Exercises | |

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Chapter 7 Discussion Exercises | |

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Applications of Trigonometry | |

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The Law of Sines | |

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The Law of Cosines | |

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Trigonometric Form for Complex Numbers | |

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De Moivre's Theorem and nth Roots of Complex Numbers | |

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Vectors | |

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The Dot Product | |

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Chapter 8 Review Exercises | |

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Chapter 8 Discussion Exercises | |

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Systems of Equations and Inequalities | |

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Systems of Equations | |

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Systems of Linear Equations in Two Variables | |

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Systems of Linear Equations in More than Two Variables | |

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Partial Fractions | |

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Systems of Inequalities | |

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Linear Programming | |

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The Algebra of Matrices | |

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The Inverse of a Matrix | |

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Determinants | |

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Properties of Determinants | |

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Chapter 9 Review Exercises | |

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Chapter 9 Discussion Exercises | |

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Sequences, Series, and Probability | |

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Infinite Sequences and Summation Notation | |

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Arithmetic Sequences | |

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Geometric Sequences | |

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Mathematical Induction | |

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The Binomial Theorem | |

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Permutations | |

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Distinguishable Permutations and Combinations | |

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Probability | |

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Chapter 10 Review Exercises | |

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Chapter 10 Discussion Exercises | |

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Topics from Analytic Geometry | |

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Parabolas | |

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Ellipses | |

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Hyperbolas | |

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Plane Curves and Parametric Equations | |

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Polar Coordinates | |

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Polar Equations of Conics | |

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Chapter 11 Review Exercises | |

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Chapter 11 Discussion Exercises | |

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Appendices | |

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Answers to Selected Exercises | |

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Index of Applications | |

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Index | |