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 02) 

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 03) 

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 04) 

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 05) 

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 06) 

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 08) 

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 OddNumbered Problems and all Chapter Review, Chapter Test, and Cumulative Review Problems 

Answers to Selcted EvenNumbered Problems 

Index 
