Straight Lines and Linear Functions | |

The Cartesian Coordinate System | |

Straight Lines | |

Using Technology: Graphing a Straight Line | |

Linear Functions and Mathematical Models | |

Portfolio | |

Using Technology: Evaluating a Function | |

Intersection of Straight Lines | |

Using Technology: Finding the Points of Intersection of Two Graphs | |

The Method of Least Squares (Optional) | |

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

Summary of Principal Formulas and Terms | |

Review Exercises | |

Systems of Linear Equations and Matrices | |

Systems of Linear Equations: An Introduction | |

Systems of Linear Equations: Unique Solutions | |

Using Technology: Solving Systems of Linear Equations | |

Systems of Linear Equations: Underdetermined and Overdetermined Systems | |

Using Technology: Solving Systems of Linear Equations II | |

Matrices | |

Using Technology: Matrix Operations | |

Multiplication of Matrices | |

Using Technology: Matrix Multiplication | |

The Inverse of a Square Matrix | |

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

Leontief Input-Output Model (Optional) | |

Using Technology: The Leontief Input-Output Model | |

Summary of Principal Formulas and Terms | |

Review Exercises | |

Linear Programming: A Geometric Approach | |

Graphing Systems of Linear Inequalities in Two Variables | |

Linear Programming Problems | |

Portfolio | |

Graphical Solution of Linear Programming Problems | |

Sensitivity Analysis (Optional) | |

Summary of Principal Terms | |

Review Exercises | |

Linear Programming: An Algebraic Approach | |

The Simplex Method: Standard Maximization Problems | |

Portfolio | |

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

The Simplex Method: Standard Minimization Problems | |

Using Technology: The Simplex Method: Solving | |

Minimization Problems | |

The Simplex Method: Nonstandard Problems (Optional) | |

Summary of Principal Terms | |

Review Exercises | |

Mathematics of Finance | |

Compound Interest | |

Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Return, and the Present Value of an Investment | |

Annuities | |

Using Technology: Finding the Amount of an Annuity | |

Amortization and Sinking Funds | |

Portfolio | |

Using Technology: Amortizing a Loan | |

Arithmetic and Geometric Progressions (Optional) | |

Summary of Principal Formulas and Terms | |

Review Exercises | |

Sets and Counting | |

Sets and Set Operations | |

The Number of Elements in a Finite Set | |

The Multiplication Principle | |

Portfolio | |

Permutations and Combinations | |

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

Summary of Principal Formulas and Terms | |

Review Exercises | |

Probability | |

Experiments, Sample Spaces, and Events | |

Definition of Probability | |

Rules of Probability | |

Use of Counting Techniques in Probability | |

Conditional Probability and Independent Events | |

Bayes' Theorem | |

Summary of Principal Formulas and Terms | |

Review Exercises | |

Probability Distributions and Statistics | |

Distributions of Random Variables | |

Using Technology: Graphing a Histogram | |

Expected Value | |

Portfolio | |

Variance and Standard Deviation | |

Using Technology: Finding the Mean and Standard Deviation | |

The Binomial Distribution | |

The Normal Distribution | |

Applications of the Normal Distribution | |

Summary of Principal Formulas and Terms | |

Review Exercises | |

Markov Chains and the Theory of Games | |

Markov Chains | |

Using Technology: Finding Distribution Vectors | |

Regular Markov Chains | |

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

Absorbing Markov Chains | |

Game Theory and Strictly Determined Games | |

Games with Mixed Strategies | |

Summary of Principal Formulas and Terms | |

Review Exercises | |

Introduction to Logic | |

Propositions and Connectives | |

Truth Tables | |

The Conditional and Biconditional Connectives | |

Laws of Logic | |

Arguments | |

Applications of Logic to Switching Networks | |

The System of Real Numbers | |

Tables | |

Binomial Probabilities | |

The Standard Normal Distribution | |

Answers to Odd-Numbered Exercises | |

Index | |

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