Index of Applications | |

Review of Basic Algebra | |

Sets of Real Numbers | |

Integer Exponents and Scientific Notation | |

Rational Exponents and Radicals | |

Polynomials | |

Factoring Polynomials | |

Algebraic Fractions | |

Equations and Inequalities | |

Equations | |

Applications of Linear Equations | |

Quadratic Equations | |

Applications of Quadratic Equations | |

Complex Numbers | |

Polynomial and Radical Equations | |

Inequalities | |

Absolute Value | |

The Rectangular Coordinate System and Graphs of Equations | |

The Rectangular Coordinate System | |

The Slope of a Nonvertical Line | |

Writing Equations of Lines | |

Graphs of Equations | |

Proportion and Variation | |

Functions | |

Functions and Function Notation | |

Quadratic Functions | |

Polynomial and Other Functions | |

Translating and Stretching Graphs | |

Rational Functions | |

Operations on Functions | |

Inverse Functions | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Applications of Exponential Functions | |

Logarithmic Functions and Their Graphs | |

Applications of Logarithmic Functions | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Solving Polynomial Equations | |

The Remainder and Factor Theorems: Synthetic Division | |

Descartes' Rule of Signs and Bounds on Roots | |

Rational Roots of Polynomial Equations | |

Irrational Roots of Polynomial Equations | |

Linear Systems | |

Systems of Linear Equations | |

Gaussian Eliminations and Matrix Methods | |

Matrix Algebra | |

Matrix Inversion | |

Determinants | |

Partial Fractions | |

Graphs of Linear Inequalities | |

Linear Programming | |

Conic Sections and Quadratic Systems | |

The Circle and the Parabola | |

The Ellipse | |

The Hyperbola | |

Solving Simultaneous Second-Degree Equations | |

Natural Number Functions and Probability | |

The Binomial Theorem | |

Sequences, Series, and Summation Notation | |

Arithmetic Sequences | |

Geometric Sequences | |

Mathematical Induction | |

Permutations and Combinations | |

Probability | |

Computation of Compound Probabilities | |

Odds and Mathematical Expectation | |

A Proof of the Binomial Theorem | |

An Alternate Approach to Circles and Parabolas | |

Tables | |

Powers and Roots | |

Base-10 Logarithms | |

Base-e Logarithms | |

Answers to Selected Exercises | |

Index | |

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