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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) | |