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| R. Algebra Reference | |
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| Polynomials | |
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| Factoring | |
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| Rational Expressions | |
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| Equations | |
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| Inequalities | |
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| Exponents | |
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| Radicals | |
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| Linear Functions | |
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| Slope and Equations of a Line | |
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| Linear Functions | |
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| Linear Mathematical Models | |
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| Constructing a Mathematical Model | |
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| Review Exercises | |
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| Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants | |
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| Extended Application: Depreciation | |
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| Systems of Linear Equations and Matrices | |
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| Solution of Linear Systems by the Echelon Method | |
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| Solution of Linear Systems by the Gauss-Jordan Method | |
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| Addition and Subtraction of Matrices | |
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| Multiplication of Matrices | |
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| Matrix Inverses | |
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| Input-Output Models | |
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| Review Exercises | |
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| Extended Application: Contagion | |
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| Linear Programming: The Graphical Method | |
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| Graphing Linear Inequalities | |
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| Solving Linear Programming Problems Graphically | |
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| Applications of Linear Programming | |
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| Review Exercises | |
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| Linear Programming: The Simplex Method | |
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| Slack Variables and the Pivot | |
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| Maximization Problems | |
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| Minimization Problems; Duality | |
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| Nonstandard Problems | |
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| Review Exercises | |
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| Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix | |
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| Mathematics of Finance | |
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| Simple and Compound Interest | |
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| Future Value of an Annuity | |
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| Present Value of an Annuity; Amortization | |
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| A Strategy for Solving Finance Problems | |
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| Review Exercises | |
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| Extended Application: Time, Money, and Polynomials | |
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| Sets and Probability | |
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| Sets | |
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| Applications of Venn Diagrams | |
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| Introduction to Probability | |
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| Basic Concepts of Probability | |
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| Conditional Probability; Independent Events | |
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| Bayes' Theorem | |
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| Probability Summary | |
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| Review Exercises | |
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| Extended Application: Medical Diagnosis | |
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| Counting Principles; Further Probability Topics | |
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| The Multiplication Principle; Permutations | |
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| Combinations | |
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| Probability Applications of Counting Principles | |
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| Binomial Probability | |
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| Probability Distributions; Expected Value | |
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| Review Exercises | |
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| Extended Application: Optimal Inventory for a Service Truck | |
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| Statistics | |
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| Frequency Distributions; Measures of Central Tendency | |
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| Measures of Variation | |
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| The Normal Distribution | |
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| Normal Approximation to the Binomial Distribution | |
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| Review Exercises | |
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| Markov Chains | |
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| Basic Properties of Markov Chains | |
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| Regular Markov Chains | |
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| Absorbing Markov Chains | |
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| Review Exercises | |
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| Extended Application: Cavities and Restoration | |
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| Game Theory | |
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| Strictly Determined Games | |
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| Mixed Strategies | |
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| Game Theory and Linear Programming | |
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| Review Exercises | |
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| Extended Application: Decision Making in the Military | |