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| Algebra: The Fundamentals | |
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| The Real Numbers | |
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| Operations with Real Numbers | |
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| Polynomials | |
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| Rational Expressions | |
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| Exponents and Radicals | |
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| The Complex Numbers | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Equations and Inequalities | |
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| First-Degree Equations and Inequalities in One Variable | |
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| Absolute Value Equations and Inequalities | |
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| Quadratic Equations | |
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| Radical Equations: Equations Reducible to Quadratic Form | |
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| Quadratic and Rational Inequalities | |
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| Substitution | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Functions and graphs: | |
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| The Cartesian Coordinate System: Graphing Straight Lines Functions and Circles | |
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| Slope | |
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| Equations of a Line | |
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| Relations and Functions | |
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| Function Notation | |
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| Relating Equations to Their Graphs | |
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| Introduction to Graph Sketching: Symmetry | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Functions And Graphs: | |
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| Basic Graphing Principles | |
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| More Graphing Principles: Types of Functions | |
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| Extracting Functions from Real-Life Situations | |
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| Quadratic Functions | |
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| Operations on Functions | |
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| Inverse Functions | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Polynomial, Rational And Radical Functions | |
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| Polynomial Functions | |
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| More Polynomial Functions and Mathematical Models | |
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| Polynomial Division, Roots of Polynomial Equations; The Remainder and Factor Theorems | |
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| Roots of Polynomial Equations (continued); The Rational Root Theorem and Descartes's Rule of Signs | |
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| Rational Functions | |
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| Radical Functions | |
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| Variation | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Exponential And Logarithmic Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms: Logarithmic Equations | |
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| Common and Natural Logarithms: Exponential Equations and Change of Base | |
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| Applications | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Systems Of Linear Equations And Inequalities | |
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| Elimination and Substitution: 2 X 2 Linear Systems | |
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| Elimination and Gaussian Elimination: 3 X 3 Linear Systems | |
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| Solving Linear Systems Using Augmented Matrices | |
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| The Algebra of Matrices | |
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| Solving Linear | |
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| Systems Using Matrix Inverses | |
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| Determinants and Cramer's Rule: 2 X 2 and 3 X 3 Systems | |
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| Properties of Determinants | |
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| Systems of Linear Inequalities | |
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| An Introduction to Linear Programming: Geometric Solutions | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Conic Sections And Nonlinear Systems | |
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| Conic Sections: Circles | |
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| The Parabola | |
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| The Ellipse | |
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| The Hyperbola | |
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| Identifying Conic Sections: Degenerate Forms | |
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| Nonlinear Systems of Equations and Inequalities | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Sequence, Series And Related Topics | |
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| Sequences | |
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| Series and Sigma Notation | |
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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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| Permutations and Combinations | |
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| Probability | |
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| The Binomial Theorem | |
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| Chapter Summary | |
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| Review Exercises | |
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| Practice Test | |