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| Each chapter ends with Review Exercises, Discussion Exercises, and a Chapter Test | |
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| Topics From Algebra | |
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| Real Numbers | |
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| Exponents and Radicals | |
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| Algebraic Expressions | |
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| Equations | |
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| Complex Numbers | |
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| Inequalities | |
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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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| 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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| 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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| 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 the 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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| Analytic Trigonometry | |
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| Verifying Trigonometric Identities | |
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| Trigonometric Equations | |
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| The Additions and Subtraction of 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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| Applications of Trigonometry | |
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| The Law of Sines | |
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| The Law of Cosines | |
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| Vectors | |
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| The Dot Product | |
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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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| 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 Inequalities | |
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| Linear Programming | |
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| Systems of Linear Equations in More Than Two Variables | |
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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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| Partial Fractions | |
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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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| Topics From Analytical 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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| Common Graphs and Their Equations | |
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| A Summary of Graph Transformations | |
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| Graphs of the Trigonometric Functions and Their Inverses | |
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| Values of the Trigonometric Functions of Special Angles on a Unit Circle | |