R. Algebra Reference | |

Polynomials | |

Factoring | |

Rational Expressions | |

Equations | |

Inequalities | |

Exponents | |

Radicals | |

Linear Functions | |

Slope and Equations of a Line | |

Linear Functions | |

Linear Mathematical Models | |

Constructing a Mathematical Model | |

Review Exercises | |

Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants | |

Extended Application: Depreciation | |

Systems of Linear Equations and Matrices | |

Solution of Linear Systems by the Echelon Method | |

Solution of Linear Systems by the Gauss-Jordan Method | |

Addition and Subtraction of Matrices | |

Multiplication of Matrices | |

Matrix Inverses | |

Input-Output Models | |

Review Exercises | |

Extended Application: Contagion | |

Linear Programming: The Graphical Method | |

Graphing Linear Inequalities | |

Solving Linear Programming Problems Graphically | |

Applications of Linear Programming | |

Review Exercises | |

Linear Programming: The Simplex Method | |

Slack Variables and the Pivot | |

Maximization Problems | |

Minimization Problems; Duality | |

Nonstandard Problems | |

Review Exercises | |

Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix | |

Mathematics of Finance | |

Simple and Compound Interest | |

Future Value of an Annuity | |

Present Value of an Annuity; Amortization | |

A Strategy for Solving Finance Problems | |

Review Exercises | |

Extended Application: Time, Money, and Polynomials | |

Sets and Probability | |

Sets | |

Applications of Venn Diagrams | |

Introduction to Probability | |

Basic Concepts of Probability | |

Conditional Probability; Independent Events | |

Bayes' Theorem | |

Probability Summary | |

Review Exercises | |

Extended Application: Medical Diagnosis | |

Counting Principles; Further Probability Topics | |

The Multiplication Principle; Permutations | |

Combinations | |

Probability Applications of Counting Principles | |

Binomial Probability | |

Probability Distributions; Expected Value | |

Review Exercises | |

Extended Application: Optimal Inventory for a Service Truck | |

Statistics | |

Frequency Distributions; Measures of Central Tendency | |

Measures of Variation | |

The Normal Distribution | |

Normal Approximation to the Binomial Distribution | |

Review Exercises | |

Markov Chains | |

Basic Properties of Markov Chains | |

Regular Markov Chains | |

Absorbing Markov Chains | |

Review Exercises | |

Extended Application: Cavities and Restoration | |

Game Theory | |

Strictly Determined Games | |

Mixed Strategies | |

Game Theory and Linear Programming | |

Review Exercises | |

Extended Application: Decision Making in the Military | |

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