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Preface | |

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Straight Lines and Linear Functions | |

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The Cartesian Coordinate System | |

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Straight Lines | |

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Using Technology: Graphing a Straight Line | |

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Linear Functions and Mathematical Models | |

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Using Technology: Evaluating a Function | |

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Intersection of Straight Lines | |

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Using Technology: Finding the Point(s) of Intersection of Two Graphs | |

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The Method of Least Squares | |

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Portfolio | |

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Using Technology: Finding an Equation of a Least-Squares Line | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Systems Of Linear Equations And Matrices | |

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Systems of Linear Equations: An Introduction | |

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Systems of Linear Equations: Unique Solutions | |

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Using Technology: Systems of Linear Equations | |

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Unique Solutions | |

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Systems of Linear Equations: Underdetermined and Overdetermined Systems | |

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Using Technology: Systems of Linear Equations | |

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Underdetermined and Overdetermined Systems | |

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Matrices | |

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Using Technology: Matrix Operations | |

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Multiplication of Matrices | |

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Using Technology: Matrix Multiplication | |

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The Inverse of a Square Matrix | |

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Using Technology: Finding the Inverse of a Square Matrix | |

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Leontief Input--Output Model | |

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Using Technology: The Leontief Input--Output Model | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Linear Programming: A Geometric Approach | |

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Graphing Systems of Linear Inequalities in Two Variables | |

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Linear Programming Problems | |

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Graphical Solutions of Linear Programming Problems | |

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Sensitivity Analysis | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Linear Programming: An Algebraic Approach | |

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The Simplex Method: Standard Maximization Problems | |

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Portfolio | |

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Using Technology: The Simplex Method: Solving Maximization Problems | |

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The Simplex Method: Standard Minimization Problems | |

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Using Technology: The Simplex Method | |

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Solving Minimization Problems | |

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The Simplex Method: Nonstandard Problems | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Mathematics Of Finance | |

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Compound IntereSt. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment | |

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Annuities | |

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Using Technology: Finding the Amount of an Annuity | |

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Amortization and Sinking Funds | |

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Using Technology: Amortizing a Loan | |

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Arithmetic and Geometric Progressions | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Sets And Counting | |

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Sets and Set Operations | |

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The Number of Elements in a Finite Set | |

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The Multiplication Principle | |

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Permutations and Combinations | |

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Portfolio | |

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Using Technology: Evaluating n!, P (n,r) and C (n,r) | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Probability | |

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Experiments, Sample Spaces, and Events | |

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Definition of Probability | |

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Rules of Probability | |

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Use of Counting Techniques in Probability | |

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Conditional Probability and Independent Events | |

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Bayes' Theorem | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Probability Distributions And Statistics | |

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Distributions of Random Variables | |

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Using Technology: Graphing a Histogram | |

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Expected Value | |

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Portfolio | |

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Variance and Standard Deviation | |

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Using Technology: Finding the Mean and Standard Deviation | |

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The Binomial Distribution | |

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The Normal Distribution | |

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Applications of the Normal Distribution | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Markov Chains And The Theory Of Games | |

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Markov Chains | |

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Using Technology: Finding Distribution Vectors | |

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Regular Markov Chains | |

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Using Technology: Finding the Long-term Distribution Vector | |

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Absorbing Markov Chains | |

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Game Theory and Strictly Determined Games | |

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Portfolio | |

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Games with Mixed Strategies | |

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Summary of Principal Formulas and Terms | |

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Concept Review Questions | |

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Review Exercises | |

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Before Moving On | |

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Introduction to Logic | |

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Propositions and Connectives | |

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Truth Tables | |

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The Conditional and the Biconditional Connectives | |

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Laws of Logic | |

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Arguments | |

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Applications of Logic to Switching Networks | |

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The System of Real Numbers | |

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A Review of Logarithms | |

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Tables | |

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Binomial Probabilities | |

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The Standard Normal Distribution | |

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Answers to Odd-Numbered Exercises | |

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Index | |