0. SOME BASIC CONCEPTS OF ALGEBRA: A REVIEW | |

Some Basic Ideas | |

Exponents | |

Polynomials | |

Factoring Polynomials | |

Rational Expressions | |

Radicals | |

Relationships Between Exponents and Roots | |

Complex Numbers | |

Chapter 0 Summary | |

Chapter 0 Review Problem Set | |

Chapter 0 Test | |

1. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING | |

Linear Equations and Problem Solving | |

More Equations and Applications | |

Quadratic Equations | |

Applications of Linear and Quadratic Equations | |

Miscellaneous Equations | |

Inequalities | |

Inequalities Involving Quotients and Absolute Value | |

Chapter 1 Summary | |

Chapter 1 Review Problem Set | |

Chapter 1 Test | |

2. COORDINATE GEOMETRY AND GRAPHING TECHNIQUES | |

Coordinate Geometry | |

Graphing Techniques: Linear Equations and Inequalities | |

Determining the Equation of a Line | |

More on Graphing | |

Circles, Ellipses, and Hyperbolas | |

Chapter 2 Summary | |

Chapter 2 Review Problem Set | |

Chapter 2 Test | |

Cumulative Review Problem Set (Chapters 0-2) | |

3. FUNCTIONS | |

Concept of a Function | |

Linear Functions and Applications | |

Quadratic Functions | |

More Quadratic Functions and Applications | |

Transformations of Some Basic Curves | |

Combining Functions | |

Direct and Inverse Variation | |

Chapter 3 Summary | |

Chapter 3 Review Problem Set | |

Chapter 3 Test | |

Cumulative Review Problem Set (Chapters 0-3) | |

4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |

Exponents and Exponential Functions | |

Applications of Exponential Functions | |

Inverse Functions | |

Logarithms | |

Logarithmic Functions | |

Exponential and Logarithmic Functions: Problem Solving | |

Chapter 4 Summary | |

Chapter 4 Review Problem Set | |

Chapter 4 Test | |

Cumulative Review Problem Set (Chapters 0-4) | |

5. POLYNOMIAL AND RATIONAL FUNCTIONS | |

Dividing Polynomials | |

Remainder and Factor Theorems | |

Polynomial Equations | |

Graphing Polynomial Functions | |

Graphing Rational Functions | |

More on Graphing Rational Functions | |

Partial Fractions | |

Chapter 5 Summary | |

Chapter 5 Review Problem Set | |

Chapter 5 Test | |

Cumulative Review Problem Set (Chapters 0-5) | |

6. SYSTEMS OF EQUATIONS | |

Systems of Two Linear Equations in Two Variables | |

Systems of Three Linear Equations in Three Variables | |

Matrix Approach to Solving Systems | |

Determinants | |

Cramer's Rule | |

Chapter 6 Summary | |

Chapter 6 Review Problem Set | |

Chapter 6 Test | |

Cumulative Review Problem Set (Chapters 0-6) | |

7. ALGEBRA OF MATRICES | |

Algebra of 2 × 2 Matrices | |

Multiplicative Inverses | |

m × n Matrices | |

Systems Involving Linear Inequalities: Linear Programming | |

Chapter 7 Summary | |

Chapter 7 Review Problem Set | |

Chapter 7 Test | |

8. CONIC SECTIONS | |

Parabolas | |

Ellipses | |

Hyperbolas | |

Systems Involving Nonlinear Equations | |

Chapter 8 Summary | |

Chapter 8 Review Problem Set | |

Chapter 8 Test | |

Cumulative Review Problem Set (Chapters 0-8) | |

9. SEQUENCES AND MATHEMATICAL INDUCTION | |

Arithmetic Sequences | |

Geometric Sequences | |

Another Look at Problem Solving | |

Mathematical Induction | |

Chapter 9 Summary | |

Chapter 9 Review Problem Set | |

Chapter 9 Test | |

10. COUNTING TECHNIQUES, PROBABILITY, AND THE BINOMIAL THEOREM | |

Fundamental Principle of Counting | |

Permutations and Combinations | |

Probability | |

Some Properties of Probability and Expected Values | |

Conditional Probability: Dependent and Independent Events | |

Binomial Theorem | |

Chapter 10 Summary | |

Chapter 10 Review Problem Set | |

Chapter 10 Test | |

Appendix A: Common Logarithms | |

Appendix B: Natural Logarithms | |

Answers to Odd-Numbered Problems and all Chapter Review, Chapter Test, and Cumulative Review Problems | |

Answers to Selcted Even-Numbered Problems | |

Index |