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Index of Applications | |
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Review of Basic Algebra | |
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Sets of Real Numbers | |
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Integer Exponents and Scientific Notation | |
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Rational Exponents and Radicals | |
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Polynomials | |
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Factoring Polynomials | |
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Algebraic Fractions | |
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Equations and Inequalities | |
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Equations | |
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Applications of Linear Equations | |
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Quadratic Equations | |
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Applications of Quadratic Equations | |
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Complex Numbers | |
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Polynomial and Radical Equations | |
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Inequalities | |
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Absolute Value | |
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The Rectangular Coordinate System and Graphs of Equations | |
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The Rectangular Coordinate System | |
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The Slope of a Nonvertical Line | |
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Writing Equations of Lines | |
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Graphs of Equations | |
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Proportion and Variation | |
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Functions | |
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Functions and Function Notation | |
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Quadratic Functions | |
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Polynomial and Other Functions | |
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Translating and Stretching Graphs | |
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Rational Functions | |
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Operations on Functions | |
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Inverse Functions | |
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Exponential and Logarithmic Functions | |
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Exponential Functions and Their Graphs | |
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Applications of Exponential Functions | |
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Logarithmic Functions and Their Graphs | |
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Applications of Logarithmic Functions | |
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Properties of Logarithms | |
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Exponential and Logarithmic Equations | |
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Solving Polynomial Equations | |
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The Remainder and Factor Theorems: Synthetic Division | |
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Descartes' Rule of Signs and Bounds on Roots | |
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Rational Roots of Polynomial Equations | |
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Irrational Roots of Polynomial Equations | |
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Linear Systems | |
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Systems of Linear Equations | |
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Gaussian Eliminations and Matrix Methods | |
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Matrix Algebra | |
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Matrix Inversion | |
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Determinants | |
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Partial Fractions | |
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Graphs of Linear Inequalities | |
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Linear Programming | |
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Conic Sections and Quadratic Systems | |
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The Circle and the Parabola | |
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The Ellipse | |
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The Hyperbola | |
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Solving Simultaneous Second-Degree Equations | |
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Natural Number Functions and Probability | |
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The Binomial Theorem | |
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Sequences, Series, 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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Permutations and Combinations | |
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Probability | |
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Computation of Compound Probabilities | |
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Odds and Mathematical Expectation | |
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A Proof of the Binomial Theorem | |
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An Alternate Approach to Circles and Parabolas | |
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Tables | |
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Powers and Roots | |
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Base-10 Logarithms | |
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Base-e Logarithms | |
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Answers to Selected Exercises | |
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Index | |