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| Chapter R | |
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| Reference (shared with FM, CWA, and Brief) | |
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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 | |
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| Functions (shared with FM, CWA, and Brief) | |
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| Slopes and Equations of Lines | |
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| Linear Functions and Applications | |
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| The Least Squares Line | |
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| Chapter Review | |
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| Extended Application: Using Extrapolation to Predict Life Expectancy | |
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| Systems | |
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| Of Linear Equations and Matrices (FM) | |
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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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| Chapter Review | |
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| Extended Application: Contagion | |
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| Linear | |
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| Programming: The Graphical Method (FM) | |
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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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| Chapter Review | |
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| Linear | |
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| Programming: The Simplex Method (FM) | |
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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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| Chapter Review | |
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| Extended Application: Using Integer Programming in the Stock-Cutting Problem | |
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| Mathematics of Finance (FM) | |
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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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| Chapter Review | |
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| Extended Application: Time, Money, and Polynomials | |
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| Logic (FM) | |
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| Statements | |
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| Truth Tables and Equivalent Statements | |
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| The Conditional and Circuits | |
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| More on the Conditional | |
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| Analyzing Arguments and Proofs | |
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| Analyzing Arguments with Quantifiers | |
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| Chapter Review | |
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| Extended Application: Logic Puzzles | |
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| Sets and Probability (FM) | |
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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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| Chapter Review | |
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| Extended Application: Medial Diagnosis | |
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| Counting | |
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| Principles: Further Probability Topics (FM) | |