| |
| |
| |
Linear Equations | |
| |
| |
| |
Lines | |
| |
| |
| |
Pairs of Lines | |
| |
| |
| |
Applications to Business and Economics | |
| |
| |
| |
Scatter Diagrams; Linear Curve Fitting | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Systems of Linear Equations | |
| |
| |
| |
Systems of Linear Equations: Substitution; Elimination | |
| |
| |
| |
Systems of Linear Equations: Gauss-Jordan Method | |
| |
| |
| |
Systems of m Linear Equations Containing n Variables | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Matrices | |
| |
| |
| |
Matrix Algebra | |
| |
| |
| |
Multiplication of Matrices | |
| |
| |
| |
The Inverse of a Matrix | |
| |
| |
| |
Applications in Economics (the Leontief Model), Accounting, and | |
| |
| |
Statistics (the Method of Least Squares) | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Linear Programming with Two Variables | |
| |
| |
| |
Systems of Linear Inequalities | |
| |
| |
| |
A Geometric Approach to Linear Programming Problems | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Linear Programming: Simplex Method | |
| |
| |
| |
The Simplex Tableau; Pivoting | |
| |
| |
| |
The Simplex Method; Solving Maximum Problems in Standard Form | |
| |
| |
| |
Solving Minimum Problems Using the Daily Principle | |
| |
| |
| |
The Simplex Method for Problems Not in Standard Form | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Finance | |
| |
| |
| |
Interest | |
| |
| |
| |
Compound Interest | |
| |
| |
| |
Annuities; Sinking Funds | |
| |
| |
| |
Present Value of an Annuity; Amortization | |
| |
| |
| |
Annuities and Amortization Using Recursive Sequences | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Probability | |
| |
| |
| |
Sets | |
| |
| |
| |
The Number of Elements in a Set | |
| |
| |
| |
The Multiplication Principle | |
| |
| |
| |
Sample Spaces and the Assignment of Probabilities | |
| |
| |
| |
Properties of the Probability of an Event | |
| |
| |
| |
Expected Value | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Bayes' Theorem; The Binomial Probability Model | |
| |
| |
| |
Conditional Probability | |
| |
| |
| |
Independent Events | |
| |
| |
| |
Bayes' Theorem | |
| |
| |
| |
Permutations | |
| |
| |
| |
Combinations | |
| |
| |
| |
The Binomial Probability Model | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Statistics | |
| |
| |
| |
Introduction to Statistics: Data and Sampling | |
| |
| |
| |
Representing Qualitative Data Graphically: Bar Graphs; Pie Charts | |
| |
| |
| |
Organizing and Displaying Quantitative Data | |
| |
| |
| |
Measures of Central Tendency | |
| |
| |
| |
Measures of Dispersion | |
| |
| |
| |
The Normal Distribution | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Markov Chains; Games | |
| |
| |
| |
Markov Chains and Transition Matrices | |
| |
| |
| |
Regular Markov Chains | |
| |
| |
| |
Absorbing Markov Chains | |
| |
| |
| |
Two-Person Games | |
| |
| |
| |
Mixed Strategies | |
| |
| |
| |
Optimal Strategy in Two-Person Zero-Sum Games with 2 X 2 Matrices | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Logic | |
| |
| |
| |
Propositions | |
| |
| |
| |
Truth Tables | |
| |
| |
| |
Implications; The Biconditional Connective; Tautologies | |
| |
| |
| |
Arguments | |
| |
| |
| |
Logic Circuits | |
| |
| |
Chapter Review | |
| |
| |
Chapter Project | |
| |
| |
| |
Review | |
| |
| |
| |
Real Numbers | |
| |
| |
| |
Algebra Essentials | |
| |
| |
| |
Exponents and Logarithms | |
| |
| |
| |
Recursive Defined Sequences: Geometric Sequences | |
| |
| |
| |
Using LINDO to Solve Linear Programming Problems | |
| |
| |
| |
Graphing Utilities | |
| |
| |
| |
The Viewing Rectangle | |
| |
| |
| |
Using a Graphing Utility to Graph Equations | |
| |
| |
| |
Square Screens | |
| |
| |
| |
Using a Graphing Utility to Graph Inequalities | |
| |
| |
Answers to Odd-Numbered Problems | |
| |
| |
Photo Credits | |
| |
| |
Index | |