1. FUNDAMENTAL CONCEPTS OF ALGEBRA | |
Real Numbers | |
Exponents and Radicals | |
Algebraic Expressions | |
Fractional Expressions | |
Chapter 1 Review Exercises | |
Chapter 1 Discussion Exercises | |
2. EQUATIONS AND INEQUALITIES | |
Equations | |
Applied Problems | |
Quadratic Equations | |
Complex Numbers | |
Other Types of Equations | |
Inequalities | |
More on Inequalities | |
Chapter 2 Review Exercises | |
Chapter 2 Discussion Exercises | |
3. FUNCTIONS AND GRAPHS | |
Rectangular Coordinate Systems | |
Graphs and Equations | |
Lines | |
Definition of Function | |
Graphs of Functions | |
Quadratic Functions | |
Operations on Functions | |
Inverse Functions | |
Variation | |
Chapter 3 Review Exercises | |
Chapter 3 Discussion Exercises | |
4. POLYNOMIAL FUNCTIONS, RATIONAL FUNCTIONS, AND CONIC SECTIONS | |
Polynomial Functions of Degree Greater Than 2. Properties of Division | |
Zeros of Polynomials | |
Complex and Rational Zeros of Polynomials | |
Rational Functions | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Chapter 4 Review Exercises | |
Chapter 4 Discussion Exercises | |
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |
Exponential Functions | |
The Natural Exponential Functions | |
Logarithmic Functions | |
Properties of Logarithms | |
Exponential and Logarithmic Equations | |
Chapter 5 Review Exercises | |
Chapter 5 Discussion Exercises | |
6. SYSTEMS OF EQUATIONS AND INEQUALITIES | |
Systems of Equations | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in More Than Two Variables | |
Partial Fractions | |
Systems of Inequalities | |
Linear Programming | |
The Algebra of Matrices | |
Inverse of a Matrix | |
Determinants | |
Chapter 6 Review Exercises | |
Chapter 6 Discussion Exercises | |
7. SEQUENCES, SERIES, AND PROBABILITY | |
Infinite Sequences and Summation Notation | |
Arithmetic Sequences | |
Geometric Sequences | |
Mathematical Induction | |
The Binomial Theorem | |
Permutations | |
Distinguishable Permutations and Combinations | |
Probability | |
Chapter 7 Review Exercises | |
Chapter 7 Discussion Exercises | |
Appendix I: Using a Ti-82/83 Graphing Calculator | |
Appendix II: Common Graphs and Their Equations | |
Appendix III: A Summary of Graph Transformations | |
Answers to Selected Exercises | |
Index of Applications | |
Index |