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