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Review of Basic Concepts | |
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Sets | |
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Real Numbers and Their Properties | |
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Polynomials | |
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Factoring Polynomials | |
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Rational Expressions | |
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Rational Exponents | |
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Radical Expressions | |
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Equations and Inequalities | |
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Linear Equations | |
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Applications and Modeling with Linear Equations | |
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Complex Numbers | |
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Quadratic Equations | |
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Applications and Modeling with Quadratic Equations | |
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Other Types of Equations and Applications | |
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Inequalities | |
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Absolute Value Equations and Inequalities | |
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Graphs and Functions | |
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Rectangular Coordinates and Graphs | |
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Circles | |
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Functions | |
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Linear Functions | |
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Equations of Lines; Curve Fitting | |
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Graphs of Basic Functions | |
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Graphing Techniques | |
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Function Operations and Composition | |
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Polynomial and Rational Functions | |
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Quadratic Functions and Models | |
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Synthetic Division | |
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Zeros of Polynomial Functions | |
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Polynomial Functions: Graphs, Applications, and Models | |
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Rational Functions: Graphs, Applications, and Models 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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Logarithmic Functions | |
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Evaluating Logarithms and the Change-of-Base Theorem | |
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Exponential and Logarithmic Equations | |
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Applications and Models of Exponential Growth and Decay | |
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Systems and Matrices | |
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Systems of Linear Equations | |
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Matrix Solution of Linear Systems | |
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Determinant Solution of Linear Systems | |
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Partial Fractions | |
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Nonlinear Systems of Equations | |
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Systems of Inequalities and Linear Programming | |
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Properties of Matrices | |
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Matrix Inverses | |
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Analytic Geometry | |
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Parabolas | |
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Ellipses | |
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Hyperbolas | |
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Summary of the Conic Sections | |
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Further Topics in Algebra | |
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Sequences and Series | |
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Arithmetic Sequences and Series | |
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Geometric Sequences and Series | |
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The Binomial Theorem | |
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Mathematical Induction | |
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Counting Theory | |
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Basics of Probability | |
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Glossary | |
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Solutions to Selected Exercises | |
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Answers to Selected Exercises | |
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Index of Applications | |
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Index | |