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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 | |