Preface to the Instructor | |

Preface to the Student | |

Basic Properties And Definitions | |

Fundamental Definitions and Notation | |

The Real Numbers | |

Properties of Real Numbers | |

Arithmetic with Real Numbers | |

Recognizing Patterns | |

Summary | |

Review | |

Test | |

Projects | |

Linear Equations And Inequalities In One Variable | |

Linear Equations in One Variable | |

Formulas | |

Applications | |

Linear Inequalities in One Variable | |

Equations with Absolute Value | |

Inequalities Involving Absolute Value | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Equations And Inequalities In Two Variables | |

Paired Data and the Rectangular Coordinate System | |

The Slope of a Line | |

The Equation of a Line | |

Linear Inequalities in Two Variables | |

Introduction to Functions | |

Function Notation | |

Algebra and Composition with Functions .Variation | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Systems Of Linear Equations And Inequalities | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in Three Variables | |

Introduction to Determinants | |

Cramer's Rule | |

Applications | |

Systems of Linear Inequalities | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Exponents And Polynomials | |

Properties of Exponents | |

Polynomials, Sums, and Differences | |

Multiplication of Polynomials | |

The Greatest Common Factor and Factoring by Grouping | |

Factoring Trinomials | |

Special Factoring | |

Factoring: A General Review | |

Solving Equations by Factoring | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Rational Expressions And Rational Functions | |

Basic Properties and Reducing to Lowest Terms | |

Division of Polynomials | |

Multiplication and Division of Rational Expressions | |

Addition and Subtraction of Rational Expressions | |

Complex Fractions | |

Equations Involving Rational Expressions | |

Applications | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Rational Exponents And Roots | |

Rational Exponents | |

More Expressions Involving Rational Exponents | |

Simplified Form for Radicals | |

Addition and Subtraction of Radical Expressions | |

Multiplication and Division of Radical Expressions | |

Equations with Radicals | |

Complex Numbers | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Quadratic Functions | |

Completing the Square | |

The Quadratic Formula | |

Additional Items Involving Solutions to Equations | |

Equations Quadratic in Form | |

Graphing Parabolas | |

Quadratic Inequalities | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Exponential And Logarithmic Functions | |

Exponential Functions | |

The Inverse of a Function | |

Logarithms are Exponents | |

Properties of Logarithms | |

Common Logarithms and Natural Logarithms | |

Exponential Equations and Change of Base | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Conic Sections | |

The Circle | |

Ellipses and Hyperbolas | |

Second-degree Inequalities and Nonlinear Systems | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Sequences And Series | |

Sequences | |

Series | |

Arithmetic Sequences | |

Geometric Sequences.The Binomial Expansion | |

Summary | |

Review | |

Cumulative Review | |

Test | |

Projects | |

Synthetic Division | |

Matrix Solutions to Linear Systems | |

Conditional Statements | |

Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews | |

Index | |

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