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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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Rectangular Coordinate Systems | |
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Lines. | |
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Chapter 1 Review Exercises. | |
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Chapter 1 Discussion Exercises | |
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Functions | |
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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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Inverse Functions. | |
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Chapter 2 Review Exercises. | |
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Chapter 2 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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Chapter 3 Review Exercises. | |
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Chapter 3 Discussion Exercises | |
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Exponential And Logarithmic 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 4 Review Exercises. | |
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Chapter 4 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 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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Chapter 5 Review Exercises. | |
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Chapter 5 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 6 Review Exercises. | |
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Chapter 6 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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DeMoivre'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 7 Review Exercises. | |
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Chapter 7 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 8 Review Exercises. | |
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Chapter 8 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 9 Review Exercises. | |
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Chapter 9 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 10 Review Exercises. | |
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Chapter 10 Discussion Exercises | |
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Using a TI-82/83 Graphing Calculator | |
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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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Answers to Selected Exercises | |
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Index of Applications | |
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Index | |