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| A Library of Elementary Functions | |
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| Linear Equations and Graphs | |
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| Linear Equations and Inequalities | |
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| Graphs and Lines | |
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| Linear Regression | |
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| Review Review Exercise | |
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| Functions and Graphs | |
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| Functions | |
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| Elementary Functions: Graphs and Transformations | |
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| Quadratic Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Review Review Exercise | |
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| Finite Mathematics | |
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| Mathematics of Finance | |
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| Simple Interest | |
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| Compound and Continuous Compound Interest | |
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| Future Value of an Annuity; Sinking Funds | |
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| Present Value of an Annuity; Amortization | |
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| Review Review Exercise | |
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| Systems of Linear Equations; Matrices | |
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| Review: Systems of Linear Equations in Two Variables | |
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| Systems of Linear Equations and Augmented Matrices | |
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| Gauss Jordan Elimination | |
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| Matrices: Basic Operations | |
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| Inverse of a Square Matrix | |
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| Matrix Equations and Systems of Linear Equations | |
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| Leontief Input Output Analysis | |
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| Review Review Exercise | |
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| Linear Inequalities and Linear Programming | |
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| Inequalities in Two Variables | |
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| Systems of Linear Inequalities in Two Variables | |
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| Linear Programming in Two Dimensions: A Geometric Approach | |
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| Review Review Exercise | |
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| Linear Programming: Simplex Method | |
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| A Geometric Introduction to the Simplex Method | |
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| The Simplex Method: Maximization with Problem Constraints of the Form = | |
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| The Dual Problem; Minimization with Problem Constraints of the Form = | |
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| Maximization and Minimization with Mixed Problem Constraints | |
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| Review Review Exercise | |
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| Logic, Sets, and Counting | |
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| Logic | |
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| Sets | |
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| Basic Counting Principles | |
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| Permutations and Combinations | |
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| Review Review Exercise | |
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| Probability | |
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| Sample Spaces, Events, and Probability | |
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| Union, Intersection, and Complement of Events; Odds | |
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| Conditional Probability, Intersection, and Independence | |
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| Bayes Formula | |
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| Random Variable, Probability Distribution, and Expected Value | |
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| Review Review Exercise | |
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| Markov Chains | |
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| Properties of Markov Chains | |
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| Regular Markov Chains | |
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| Absorbing Markov Chains | |
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| Review Review Exercise | |
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| Calculus | |
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| Limits and the Derivative | |
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| Introduction to Limits | |
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| Continuity | |
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| Infinite Limits and Limits at Infinity | |
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| The Derivative | |
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| Basic Differentiation Properties | |
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| Differentials | |
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| Marginal Analysis in Business and Economics | |
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| Review Review Exercise | |
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| Additional Derivative Topics | |
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| The Constant e and Continuous Compound Interest | |
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| Derivatives of Exponential and Logarithmic Functions | |
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| Derivati | |