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학습 가이드

Finite Math

Course Contents

Video: How to Find the Inverse of a Matrix
Course Contents at a Glance
Video: Matrix Math

Module 1: Functions and Graphs

Reading: Solving a System of Linear Equations Using the Inverse of a Matrix
Why It Matters
Video: Inverse Matrix
Reading: Functions and Function Notation (part I)
Worked Examples: Business Applications of Matrices
Reading: Functions and Function Notation (part II)
Putting It Together
Reading: Domain and Range

Module 5: Inequalities and Linear Programming

Video: Domain Restrictions and Piecewise Functions
Why It Matters
Activity: Graphing With Technology
Reading: Meeting Demands with Linear Programming
Reading: Average Rate of Change
Video: Linear Programming
Putting It Together
Reading: Solving Standard Maximization Problems using the Simplex Method

Module 2: Linear Functions in Business

VIdeo: Simplex Method
Why It Matters
Reading: Standard Minimization with the Dual
Reading: Linear Functions
Video: Determine a Dual Problem Given a Standard Minimization Problem
Reading: Graphs of Linear Functions (part I)
Putting It Together
Interactive Simulation: Graphing Lines

Module 6: Exponential Growth and Decay

Reading: Fitting Linear Models to Data
Why It Matters
Video: Linear Regression in Excel
Reading: Exponential Functions (part I)
Interactive Simulation: Concepts of Least Squares Regression
Video: Exponential Functions
Reading: Demand, Supply, and Equilibrium in Markets for Goods and Services
Reading: Exponential Functions (part II)
Video: Linear Equation Application (Write a Cost Equation)
Example: Growth or Decay
Video: Function Inputs and Outputs of a Cost Function (Linear)
Reading: Graphs of Exponential Functions
Video: Revenue Cost Profit Functions Using Inequalities
Reading: Logarithmic Functions (part I)
Video: Determine a Linear Demand Function
Reading: Logarithmic Properties
Reading: Graphs of Linear Functions (part II)
Examples: Solving Logarithmic Equations
Reading: Equilibrium—Where Demand and Supply Intersect
Reading: Using the Definition of a Logarithm to Solve Logarithmic Equations
Video: How to Calculate Equilibrium Price and Quantity
Putting It Together
Reading: Revenue, Cost, and Profit Functions

Module 7: Investments and Loans

Reading: Break-Even Analysis
Why It Matters
Video: Break-Even Analysis
Reading: Compound Interest and Exponential Growth
Video: Linear Function Application
Reading: Finance (part I)
Reading: Solving One-Step Inequalities
Video: The Simple Interest Formula
Reading: Multi-Step Inequalities
Video: Compound Interest
Putting It Together
Reading: Finance (part II)

Module 3: Functions in Business

Reading: Annuities
Why It Matters
Reading: Loans, Mortgages, and Sinking Funds
Reading: Factoring
Video: Determining the Value of an Annuity
Reading: Quadratic Formula
Video: The Installment Loan Formula
Reading: Graphs of Quadratics
Video: How To Create An Amortization Table In Microsoft Excel
Reading: Short Run Behavior: Vertex
Reading: Which Equation to Use?
Reading: Finding the Vertex of a Quadratic
Putting It Together
Video: Find a Quadratic Function Given the Intercepts of the Graph

Module 8: Probability Theory

Reading: Mathematical Modeling Exercise (incomplete content)
Why It Matters
Video: Finding a Revenue Function from a Linear Demand Function
Reading: Probability
Worked Examples: Quadratic Function Applications
Video: Introduction to Probability
Video: Demand and Revenue
Video: Probability of Independent Events
Video: Quadratic Model Application
Video: Determining the Probability of a Union of Events
Video: Quadratic Demand and Supply Analysis
Video: Probability of Events that are Mutually Exclusive
Reading: Graphs of Polynomial Functions (part I)
Reading: Conditional Probability
Reading: Graphs of Polynomial Functions (part II)
Video: Conditional Probability
Video: Find the Intercepts of a Polynomial Function
Reading: Bayes' Theorem
Video: Turning Points and X Intercepts of a Polynomial Function
Video: Probability: Bayes' Theorem
Reading: Rational Functions
Reading: Counting
Putting It Together
Video: The Counting Principle

Module 4: Matrices

Video: Permutations
Why It Matters
Video: Combinations
Reading: Constructing and Solving Linear Equations
Examples: Probability using Permutations and Combinations
Reading: Matrices and Matrix Operations
Video: Determining Probability
Examples: Using Technology to Perform Matrix Operations
Reading: Expected Value
Video: Matrix Math in Excel
Video: Expected Value
Reading: Solving Systems with Gaussian Elimination
Putting It Together
Reading: Solving Systems with Inverses