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| R. Basic Concepts of Algebra | |
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| The Real-Number System | |
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| Integer Exponents, Scientific Notation, and Order of Operations | |
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| Addition, Subtraction, and Multiplication of Polynomials | |
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| Factoring | |
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| Rational Expressions | |
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| Radical Notation and Rational Exponents | |
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| Graphs, Functions, and Models | |
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| Introduction to Graphing | |
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| Functions and Graphs | |
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| Linear Functions, Slope, and Applications | |
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| Equations of Lines and Modeling | |
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| More on Functions | |
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| Symmetry and Transformations | |
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| Functions, Equations, and Inequalities | |
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| Linear Equations, Functions, and Models | |
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| The Complex Numbers | |
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| Quadratic Equations, Functions, and Models | |
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| Analyzing Graphs of Quadratic Equations | |
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| More Equation Solving | |
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| Solving Linear Inequalities | |
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| Polynomial and Rational Functions | |
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| Polynomial Functions and Models | |
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| Polynomial Division; The Remainder and Factor Theorems | |
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| Theorems about Zeros of Polynomial Functions | |
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| Rational Functions | |
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| Polynomial and Rational Inequalities | |
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| Variation and Applications | |
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| Exponential and Logarithmic Functions | |
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| Composite and Inverse Functions | |
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| Exponential Functions and Graphs | |
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| Logarithmic Functions and Graphs | |
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| Properties of Logarithmic Functions | |
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| Solving Exponential and Logarithmic Equations | |
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| Applications and Models: Growth and Decay | |
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| Systems of Equations and Matrices | |
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| Systems of Equations in Two Variables | |
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| Systems of Equations in Three Variables | |
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| Matrices and Systems of Equations | |
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| Matrix Operations | |
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| Inverses of Matrices | |
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| Determinants and Cramer's Rule | |
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| Systems of Inequalities and Linear Programming | |
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| Partial Fractions | |
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| Conic Sections | |
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| The Parabola | |
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| The Circle and the Ellipse | |
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| The Hyperbola | |
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| Nonlinear Systems of Equations | |
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| Sequences, Series, and Combinatorics | |
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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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| Mathematical Induction | |
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| Combinatorics: Permutations | |
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| Combinatorics: Combinations | |
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| The Binomial Theorem | |
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| Probability | |