## Table of Contents

PREFACE.

1. Straight Lines and Linear Functions.

The Cartesian Coordinate System. Straight Lines. Using Technology: Graphing a Straight Line. Linear Functions and Mathematical Models. Using Technology: Evaluating a Function. Intersection of Straight Lines. Using Technology: Finding the Point(s) of Intersection of Two Graphs. The Method of Least Squares.

Portfolio. Using Technology: Finding an Equation of a Least-Squares Line. Chapter 1 Summary of Principal Formulas and Terms. Chapter 1 Concept Review Questions. Chapter 1 Review Exercises. Chapter 1 Before Moving On.

2. SYSTEMS OF LINEAR EQUATIONS AND MATRICES.

Systems of Linear Equations: An Introduction. Systems of Linear Equations: Unique Solutions. Using Technology: Systems of Linear Equations: Unique Solutions. Systems of Linear Equations: Underdetermined and Overdetermined Systems. Using Technology: Systems of Linear Equations: Underdetermined and Overdetermined Systems. Matrices. Using Technology: Matrix Operations. Multiplication of Matrices. Using Technology: Matrix Multiplication. The Inverse of a Square Matrix. Using Technology: Finding the Inverse of a Square Matrix. Leontief Input—Output Model. Using Technology: The Leontief Input—Output Model. Chapter 2 Summary of Principal Formulas and Terms. Chapter 2 Concept Review Questions. Chapter 2 Review Exercises. Chapter 2 Before Moving On.

3. LINEAR PROGRAMMING: A GEOMETRIC APPROACH.

Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Graphical Solutions of Linear Programming Problems. Sensitivity Analysis. Chapter 3 Summary of Principal Formulas and Terms. Chapter 3 Concept Review Questions. Chapter 3 Review Exercises. Chapter 3 Before Moving On.

4. LINEAR PROGRAMMING: AN ALGEBRAIC APPROACH.

The Simplex Method: Standard Maximization Problems. Portfolio. Using Technology: The Simplex Method: Solving Maximization Problems. The Simplex Method: Standard Minimization Problems. Using Technology: The Simplex Method: Solving Minimization Problems. The Simplex Method: Nonstandard Problems. Chapter 4 Summary of Principal Formulas and Terms. Chapter 4 Concept Review Questions. Chapter 4 Review Exercises. Chapter 4 Before Moving On.

5. MATHEMATICS OF FINANCE.

Compound Interest. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment. Annuities. Using Technology: Finding the Amount of an Annuity. Amortization and Sinking Funds. Using Technology: Amortizing a Loan. Arithmetic and Geometric Progressions. Chapter 5 Summary of Principal Formulas and Terms. Chapter 5 Concept Review Questions. Chapter 5 Review Exercises. Chapter 5 Before Moving On.

5. SETS AND COUNTING.

Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Permutations and Combinations. Portfolio. Using Technology: Evaluating n!, P (n,r) and C (n,r). Chapter 6 Summary of Principal Formulas and Terms. Chapter 6 Concept Review Questions. Chapter 6 Review Exercises. Chapter 6 Before Moving On.

7. PROBABILITY.

Experiments, Sample Spaces, and Events. Definition of Probability. Rules of Probability. Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes'' Theorem. Chapter 7 Summary of Principal Formulas and Terms. Chapter 7 Concept Review Questions. Chapter 7 Review Exercises. Chapter 7 Before Moving On.

8. PROBABILITY DISTRIBUTIONS AND STATISTICS.

Distributions of Random Variables. Using Technology: Graphing a Histogram. Expected Value. Portfolio. Variance and Standard Deviation. Using Technology: Finding the Mean and Standard Deviation. The Binomial Distribution. The Normal Distribution. Applications of the Normal Distribution. Chapter 8 Summary of Principal Formulas and Terms. Chapter 8 Concept Review Questions. Chapter 8 Review Exercises. Chapter 8 Before Moving On.

9. MARKOV CHAINS AND THE THEORY OF GAMES.

Markov Chains. Using Technology: Finding Distribution Vectors. Regular Markov Chains. Using Technology: Finding the Long-term Distribution Vector. Absorbing Markov Chains. Game Theory and Strictly Determined Games. Portfolio. Games with Mixed Strategies. Chapter 9 Summary of Principal Formulas and Terms. Chapter 9 Concept Review Questions. Chapter 9 Review Exercises. Chapter 9 Before Moving On.

Appendix A: Introduction to Logic.

Propositions and Connectives. Truth Tables. The Conditional and the Biconditional Connectives. Laws of Logic. Arguments. Applications of Logic to Switching Networks.

Appendix B: The System of Real Numbers.

Appendix C: A Review of Logarithms.

Appendix D: Tables.

Table 1: Binomial Probabilities.

Table 2: The Standard Normal Distribution.

Answers to Odd-Numbered Exercises.

Index.