Functions and Linear Models | |

Functions from the Numerical and Algebraic Viewpoints | |

Functions from the Graphical Viewpoint | |

Linear Functions | |

Linear Models | |

Linear Regression | |

Modeling Spending on Internet Advertising | |

Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions | |

Systems of Linear Equations and Matrices | |

Systems of Two Equations in Two Unknowns | |

Using Matrices to Solve Systems of Equations | |

Applications of Systems of Linear Equations | |

The Impact of Regulating Sulfur Emissions | |

Matrix Algebra and Applications | |

Matrix Addition and Scalar Multiplication | |

Matrix Multiplication | |

Matrix Inversion | |

Input-Output Models | |

Chapter Project: The Japanese Economy | |

Linear Programming | |

Graphing Linear Inequalities | |

Solving Linear Programming Problems Graphically | |

The Simplex Method: Solving Standard Maximization Problems | |

The Simplex Method: Solving General Linear Programming Problems | |

The Simplex Method and Duality (Optional) | |

Chapter Project: Airline Scheduling | |

The Mathematics of Finanace | |

Simple Interest | |

Compound Interest | |

Annuities, Loans, and Bonds | |

Chapter Project: Saving for College | |

Sets and Counting | |

Set Operations | |

Cardinality | |

The Addition and Multiplication Principles | |

Permutations and Combinations | |

Designing a Puzzle | |

Probability | |

Sample Spaces and Events | |

Estimated Probability | |

Empirical Probability | |

Probability and Counting Techniques | |

Probability Distributions | |

Conditional Probability and Independence | |

Bayes' Theorem and Applications | |

Chapter Project: The Monty Hall Problem | |

Random Variables and Statistics | |

Random Variables and Distributions | |

Bernoulli Trials and Binomial Random Variables | |

Measures of Central Tendency | |

Measures of Dispersion | |

Normal Distributions | |

Chapter Project: Spotting Tax Fraud with Benford's Law | |

Optional Internet Topics: Sampling Distributions and the Central Limit Theorem | |

Confidence Intervals | |

Hypothesis Testing | |

Markov Systems | |

Markov Systems | |

Distribution Vectors and Powers of the Transition Matrix | |

Long-Range Behavior of Regular Markov Systems | |

Absorbing Markov Systems | |

Chapter Project: Predicting the Price of Gold | |

AppendiceS | |

Real Numbers | |

Table: Area Under a Normal Curve | |

Optional Internet Chapters | |

G. Game Theory | |

Two-Person Zero Sum Games | |

Reduction by Dominance | |

Strictly Determined Games | |

Solving Games using the Simplex Method | |

Expert Opinion--Harvesting Forests | |

L. Introduction to Logic | |

Statements and Logical Operators | |

Logical Equivalence, Tautologies and Contradictions | |

The Conditional and the Biconditional | |

Tautological Implications and Tautological Equivalences | |

Rules of Inference | |

Arguments and Proofs | |

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