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| Functions and Lines | |
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| Functions | |
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| Graphs and Lines | |
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| Mathematical Models and Applications of Linear Functions | |
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| Linear Systems | |
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| Systems of Two Equations | |
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| Systems with Three Variables: An Introduction to a Matrix Representation of a Linear System of Equations | |
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| Gauss-Jordan Method for General Systems of Equations | |
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| Matrix Operations | |
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| Multiplication of Matrices | |
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| The Inverse of a Matrix | |
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| Leontief Input-Output Model in Economics | |
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| Linear Regression | |
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| Linear Programming | |
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| Linear Inequalities in Two Variables | |
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| Solutions of Systems of Inequalities: a Geometric Picture | |
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| Linear Programming: a Geometric Approach | |
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| Applications | |
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| Linear Programming: the Simplex Method | |
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| Setting Up the Simplex Methods | |
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| The Simplex Method | |
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| The Standard Minimum Problem: Duality | |
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| Mixed Constraints | |
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| Multiple Solutions, Unbounded Solutions, and No Solutions | |
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| What's Happening in the Simplex Method? (Optional) | |
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| Mathematics of Finance | |
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| Simple Interest Compound Interest Annuities and Sinking Funds | |
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| Present Value of an Annuity and Amortization | |
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| Sets and Counting | |
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| Sets | |
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| Counting Elements in a Subset Using a Venn Diagram | |
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| Basic Counting Principles | |
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| Permutations | |
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| Combinations | |
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| A Mixture of Counting Problems | |
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| Partitions (Optional) | |
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| Probability | |
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| Introduction to Probability | |
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| Equally Likely Events | |
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| Compound Events: Union, Intersection, and Complement | |
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| Conditional Probability | |
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| Independent Events | |
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| Bayes' Rule | |
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| Markov Chains | |
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| Statistics | |
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| Frequency Distributions | |
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| Measures of Central Tendency | |
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| Measures of Dispersion: Range, Variance, and Standard Deviation | |
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| Random Variables and Probability Distributions of Discrete Random Variables | |
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| Expected Value of a Random Variable | |
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| Binomial Experiments and Binomial Distribution | |
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| Normal Distribution | |
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| Estimating Bounds on a Proportion | |
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| Game Theory | |
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| Two-Person Games | |
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| Mixed Strategy Games | |
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| Logic | |
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| Statements | |
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| Conditional Statements | |
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| Equivalent Statements | |
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| Valid Arguments | |
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| Review Topics | |
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| Properties of Real Numbers | |
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| Solving Linear Equations | |
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| Coordinate Systems | |
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| Linear Inequalities and Interval Notation | |
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| Using a TI-83 Graphing Calculator | |
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| Notation | |
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| Arithmetic Operations | |
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| Graphing | |
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| Evaluating a Function | |
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| Finding the Intersection of Two Graphs | |
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| Constructing a Table | |
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| Matrices | |
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| Statistics | |
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| Using Excel | |