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| Linear Functions, Equations, and Inequalities | |
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| Real Numbers and the Rectangular Coordinate System | |
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| Introduction to Relations and Functions | |
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| Linear Functions | |
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| Equations of Lines and Linear Models | |
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| Linear Equations and Inequalities | |
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| Applications of Linear Functions | |
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| Analysis of Graphs of Functions | |
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| Graphs of Basic Functions and Relations; Symmetry | |
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| Vertical and Horizontal Shifts of Graphs | |
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| Stretching, Shrinking, and Reflecting Graphs | |
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| Absolute Value Functions | |
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| Piecewise-Defined Functions | |
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| Operations and Composition | |
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| Polynomial Functions | |
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| Complex Numbers | |
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| Quadratic Functions and Graphs | |
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| Quadratic Equations and Inequalities | |
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| Further Applications of Quadratic Functions and Models | |
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| Higher-Degree Polynomial Functions and Graphs | |
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| Topics in the Theory of Polynomial Functions (I) | |
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| Topics in the Theory of Polynomial Functions (II) | |
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| Polynomial Equations and Inequalities; Further Applications and Models | |
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| Rational, Power, and Root Functions | |
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| Rational Functions and Graphs | |
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| More on Rational Functions and Graphs | |
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| Rational Equations, Inequalities, Models, and Applications | |
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| Functions Defined by Powers and Roots | |
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| Equations, Inequalities, and Applications Involving Root Functions | |
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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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| Logarithms and Their Properties | |
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| Logarithmic Functions | |
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| Exponential and Logarithmic Equations and Inequalities | |
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| Further Applications and Modeling with Exponential and Logarithmic Functions | |
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| Analytic Geometry | |
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| Circles and Parabolas | |
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| Ellipses and Hyperbolas | |
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| Summary of Conic Sections | |
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| Parametric Equations | |
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| Systems of Equations and Inequalities; Matrices | |
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| Systems of Equations | |
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| Solution of Linear Systems in Three Variables | |
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| Solution of Linear Systems by Row Transformations | |
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| Matrix Properties and Operations | |
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| Determinants and Cramer's Rule | |
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| Solution of Linear Systems by Matrix Inverses | |
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| Systems of Inequalities and Linear Programming | |
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| Partial Fractions | |
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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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| Counting Theory | |
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| The Binomial Theorem | |
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| Mathematical Induction | |
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| Probability | |
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| R. Reference: Basic Algebraic Concepts | |
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| Review of Exponents and Polynomials | |
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| Review of Factoring | |
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| Review of Rational Expressions | |
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| Review of Negative and Rational Exponents | |
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| Review of Radicals | |
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| Appendix: Geometry Formulas | |