**Chapter 1: Linear Equations.** 1.1. Lines.

1.2. Pairs of Lines.

1.3. Applications to Business and Economics.

1.4. Scatter Diagrams; Linear Curve Fitting.

Chapter Review.

Chapter Project.

**Chapter 2: Systems of Linear Equations.**

2.1 Systems of Linear Equations: Substitution; Elimination.

2.2 Systems of Linear Equations: Gauss-Jordan Method.

2.3 Systems of m Linear Equations Containing n Variables.

Chapter Review.

Chapter Project.

**Chapter 3: Matrices.**

3.1 Matrix Algebra.

3.2 Multiplication of Matrices.

3.3 The Inverse of a Matrix.

3.4 Applications in Economics (the Leontief Model), Accounting, and Statistics (the Method of Least Squares).

Chapter Review.

Chapter Project.

**Chapter 4: Linear Programming with Two Variables.**

4.1 Systems of Linear Inequalities.

4.2 A Geometric Approach to Linear Programming Problems.

Chapter Review.

Chapter Project.

**Chapter 5: Linear Programming: Simplex Method.**

5.1 The Simplex Tableau; Pivoting.

5.2 The Simplex Method; Solving Maximum Problems in Standard Form.

5.3 Solving Minimum Problems Using the Daily Principle.

5.4 The Simplex Method for Problems Not in Standard Form.

Chapter Review.

Chapter Project.

**Chapter 6: Finance.**

6.1 Interest.

6.2 Compound Interest.

6.3 Annuities; Sinking Funds.

6.4 Present Value of an Annuity; Amortization.

6.5 Annuities and Amortization Using Recursive Sequences.

Chapter Review.

Chapter Project.

**Chapter 7: Probability.**

7.1 Sets.

7.2 The Number of Elements in a Set.

7.3 The Multiplication Principle.

7.4 Sample Spaces and the Assignment of Probabilities.

7.5 Properties of the Probability of an Event.

7.6 Expected Value.

Chapter Review.

Chapter Project.

**Chapter 8: Bayes' Theorem; The Binomial Probability Model.**

8.1 Conditional Probability.

8.2 Independent Events.

8.3 Bayes' Theorem.

8.4 Permutations.

8.5 Combinations.

8.6 The Binomial Probability Model.

Chapter Review.

Chapter Project.

**Chapter 9: Statistics.**

9.1 Introduction to Statistics: Data and Sampling.

9.2 Representing Qualitative Data Graphically: Bar Graphs; Pie Charts.

9.3 Organizing and Displaying Quantitative Data.

9.4 Measures of Central Tendency.

9.5 Measures of Dispersion.

9.6 The Normal Distribution.

Chapter Review.

Chapter Project.

**Chapter 10: Markov Chains; Games.**

10.1 Markov Chains and Transition Matrices.

10.2 Regular Markov Chains.

10.3 Absorbing Markov Chains.

10.4 Two-Person Games.

10.5 Mixed Strategies.

10.6 Optimal Strategy in Two-Person Zero-Sum Games with 2 X 2 Matrices.

Chapter Review.

Chapter Project.

**Chapter 11: Logic.**

11.1 Propositions.

11.2 Truth Tables.

11.3 Implications; The Biconditional Connective; Tautologies.

11.4 Arguments.

11.5 Logic Circuits.

Chapter Review.

Chapter Project.

**Appendix A: Review.**

A.1 Real Numbers.

A.2 Algebra Essentials.

A.3 Exponents and Logarithms.

A.4 Recursive Defined Sequences: Geometric Sequences.

**Appendix B: Using LINDO to Solve Linear Programming Problems.**

**Appendix C: Graphing Utilities.**

C.1 The Viewing Rectangle.

C.2 Using a Graphing Utility to Graph Equations.

C.3 Square Screens.

C.4 Using a Graphing Utility to Graph Inequalities.

Answers to Odd-Numbered Problems.

Photo Credits.

Index.