| |
| |
| |
| 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 | |
