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Linear Equations | |

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Lines | |

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Pairs of Lines | |

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Applications to Business and Economics | |

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Scatter Diagrams; Linear Curve Fitting | |

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Chapter Review | |

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Chapter Project | |

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Systems of Linear Equations | |

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Systems of Linear Equations: Substitution; Elimination | |

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Systems of Linear Equations: Gauss-Jordan Method | |

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Systems of m Linear Equations Containing n Variables | |

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Chapter Review | |

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Chapter Project | |

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Matrices | |

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Matrix Algebra | |

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Multiplication of Matrices | |

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The Inverse of a Matrix | |

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Applications in Economics (the Leontief Model), Accounting, and | |

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Statistics (the Method of Least Squares) | |

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Chapter Review | |

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Chapter Project | |

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Linear Programming with Two Variables | |

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Systems of Linear Inequalities | |

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A Geometric Approach to Linear Programming Problems | |

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Chapter Review | |

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Chapter Project | |

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Linear Programming: Simplex Method | |

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The Simplex Tableau; Pivoting | |

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The Simplex Method; Solving Maximum Problems in Standard Form | |

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Solving Minimum Problems Using the Daily Principle | |

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The Simplex Method for Problems Not in Standard Form | |

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Chapter Review | |

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Chapter Project | |

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Finance | |

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Interest | |

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Compound Interest | |

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Annuities; Sinking Funds | |

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Present Value of an Annuity; Amortization | |

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Annuities and Amortization Using Recursive Sequences | |

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Chapter Review | |

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Chapter Project | |

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Probability | |

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Sets | |

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The Number of Elements in a Set | |

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The Multiplication Principle | |

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Sample Spaces and the Assignment of Probabilities | |

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Properties of the Probability of an Event | |

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Expected Value | |

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Chapter Review | |

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Chapter Project | |

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Bayes' Theorem; The Binomial Probability Model | |

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Conditional Probability | |

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Independent Events | |

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Bayes' Theorem | |

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Permutations | |

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Combinations | |

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The Binomial Probability Model | |

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Chapter Review | |

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Chapter Project | |

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Statistics | |

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Introduction to Statistics: Data and Sampling | |

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Representing Qualitative Data Graphically: Bar Graphs; Pie Charts | |

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Organizing and Displaying Quantitative Data | |

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Measures of Central Tendency | |

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Measures of Dispersion | |

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The Normal Distribution | |

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Chapter Review | |

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Chapter Project | |

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Markov Chains; Games | |

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Markov Chains and Transition Matrices | |

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Regular Markov Chains | |

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Absorbing Markov Chains | |

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Two-Person Games | |

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Mixed Strategies | |

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

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Chapter Review | |

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Chapter Project | |

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Logic | |

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Propositions | |

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Truth Tables | |

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Implications; The Biconditional Connective; Tautologies | |

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Arguments | |

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Logic Circuits | |

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Chapter Review | |

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Chapter Project | |

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Review | |

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Real Numbers | |

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Algebra Essentials | |

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Exponents and Logarithms | |

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Recursive Defined Sequences: Geometric Sequences | |

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Using LINDO to Solve Linear Programming Problems | |

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Graphing Utilities | |

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The Viewing Rectangle | |

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Using a Graphing Utility to Graph Equations | |

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Square Screens | |

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Using a Graphing Utility to Graph Inequalities | |

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Answers to Odd-Numbered Problems | |

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Photo Credits | |

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Index | |