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R. Algebra Reference R-1 Polynomials R-2 Factoring R-3 Rational Expressions R-4 Equations R-5 Inequalities R-6 Exponents R-7 Radicals 1. Linear Functions 1-1 Slopes and Equations of Lines 1-2 Linear Functions and Applications 1-3 The Least Squares Line Chapter Review Extended Application: Using Extrapolation to Predict Life Expectancy 2. Systems of Linear Equations and Matrices 2-1 Solution of Linear Systems by the Echelon Method 2-2 Solution of Linear Systems by the Gauss-Jordan Method 2-3 Addition and Subtraction of Matrices 2-4 Multiplication of Matrices 2-5 Matrix Inverses 2-6 Input-Output Models Chapter Review Extended Application: Contagion 3. Linear Programming: The Graphical Method 3-1 Graphing Linear Inequalities 3-2 Solving Linear Programming Problems Graphically 3-3 Applications of Linear Programming Chapter Review Extended Application: Sensitivity Analysis 4. Linear Programming: The Simplex Method 4-1 Slack Variables and the Pivot 4-2 Maximization Problems 4-3 Minimization Problems; Duality 4-4 Nonstandard Problems Chapter Review Extended Application: Using Integer Programming in the Stock-Cutting Problem 5. Mathematics of Finance 5-1 Simple and Compound Interest 5-2 Future Value of an Annuity 5-3 Present Value of an Annuity; Amortization Chapter Review Extended Application: Time, Money, and Polynomials 6. Logic 6-1 Statements 6-2 Truth Tables and Equivalent Statements 6-3 The Conditional and Circuits 6-4 More on the Conditional 6-5 Analyzing Arguments and Proofs 6-6 Analyzing Arguments with Quantifiers Chapter Review Extended Application: Logic Puzzles 7. Sets and Probability 7-1 Sets 7-2 Applications of Venn Diagrams 7-3 Introduction to Probability 7-4 Basic Concepts of Probability 7-5 Conditional Probability; Independent Events 7-6 Bayes' Theorem Chapter Review Extended Application: Medical Diagnosis 8. Counting Principles: Further Probability Topics 8-1 The Multiplication Principle; Permutations 8-2 Combinations 8-3 Probability Applications of Counting Principles 8-4 Binomial Probability 8-5 Probability Distributions; Expected Value Chapter Review Extended Application: Optimal Inventory for a Service Truck 9. Statistics 9-1 Frequency Distributions; Measures of Central Tendency 9-2 Measures of Variation 9-3 The Normal Distribution 9-4 Normal Approximation to the Binomial Distribution Chapter Review Extended Application: Statistics in the Law - The Castaneda Decision 10. Markov Chains 10-1 Basic Properties of Markov Chains 10-2 Regular Markov Chains 10-3 Absorbing Markov Chains Chapter Review Extended Application: A Markov Chain Model for Teacher Retention 11. Game Theory 11.1 Strictly Determined Games 11.2 Mixed Strategies 11.3 Game Theory and Linear Programming Chapter Review Extended Application: The Prisoner's Dilemma - Non-Zero-Sum Games in Economics Table Area Under a Normal Curve Answers to Selected Exercises Photo Acknowledgements Table of Contents
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