Chapter 1 – Linear Functions in Business and Economics
Section 1 – Linear Functions
Question 1 – What are independent and dependent variables?
Question 2 – What is a linear function?
Question 3 – What is function notation?
Section 2 – Applications of Linear Functions
Question 1 – What are the pieces of a linear function?
Question 2 – How do you graph a linear function?
Question 3 – How do you find a linear function through two points?
Question 4 – How do you find cost and revenue functions?
Question 5 – What are demand and supply?
Section 3 – Approximate Linear Models
Question 1 – Which linear model is best?
Question 2 – How do you use linear regression functions?
Question 3 – How good is the linear model?
Section 4 – Linear Functions of Several Variables
Question 1 – What is a linear function of several independent variables?
Question 2 – What do the coefficients of the variables tell us?
Question 3 – How do you find cost, revenue and profit functions with several variables?
Chapter 2 – Solving Systems of Linear Equations
Section 1 – Systems of Linear Equations
Question 1 – What is a system of linear equations?
Question 2 – Where do systems of equations come from?
Section 2 – Solving a System of Two Linear Equations Algebraically
Question 1 – How do you solve a system of linear equations?
Section 3 – Systems with Many Solutions or No Solutions
Question 1 – Does every system have a unique solution?
Question 2 – How do you solve a system of three equations in two variables?
Question 3 – How do you set up and solve an application involving a system of equations in two variables?
Section 4 – Solving a System of Linear Equations with Matrices
Question 1 – What is a matrix?
Question 2 – How do you form an augmented matrix from a system of linear equations?
Question 3 – How do you use row operations to determine the reduced row echelon form of a matrix?
Question 4 – Do all systems of linear equations have unique solutions?
Question 5 – How do you mix different grades of ethanol to create a new grade of ethanol?
Chapter 3 – Matrices
Section 1 – Matrix Addition and Subtraction
Question 1 – How is information organized in a matrix?
Question 2 – How do you multiply a matrix by a scalar?
Question 3 – How do you add matrices?
Question 4 – How do you subtract matrices?
Section 2 – Matrix Multiplication
Question 1 – How do you multiply two matrices?
Question 2 – How do you interpret the entries in a product of two matrices?
Section 3 – Matrix Inverses
Question 1 – What is a matrix inverse?
Question 2 – How do you find a matrix inverse?
Section 4 – Solving Matrix Equations with Inverses
Question 1 – How do you write a system of equations as a matrix equation?
Question 2 – How do you solve a matrix equation using the matrix inverse?
Chapter 4 – Linear Programming
Section 1 – Solving Systems of Linear Inequalities
Question 1 – How do you graph a linear inequality?
Question 2 – How do you graph a system of linear inequalities?
Section 2 – Graphical Linear Programming
Question 1 – What is a linear programming problem?
Question 2 – How do you solve a linear programming problem with a graph?
Question 3 – How do you solve a linear programming application with a graph?
Section 3 – The Simplex Method and the Standard Maximization Problem
Question 1 – What is a standard maximization problem?
Question 2 – What are slack variables?
Question 3 – How do you find a basic feasible solution?
Question 4 – How do you get the optimal solution to a standard maximization problem with the Simplex Method?
Question 5 – How do you find the optimal solution for an application?
Section 4 – The Simplex Method and the Standard Minimization Problem
Question 1 – What is a standard minimization problem?
Question 2 – How is the standard minimization problem related to the dual standard maximization problem?
Question 3 – How do you apply the Simplex Method to a standard minimization problem?
Question 4 – How do you apply the Simplex Method to a minimization application?
Section 5 – Sensitivity Analysis
Question 1 – How will changes in a constraint’s constant change the optimal solution?
Question 2 – How will changes in the objective function’s coefficients change the optimal solution?
Chapter 5 – The Mathematics of Finance
Section 1 – Simple and Compound Interest
Question 1 – What is simple interest?
Question 2 – What is compound interest?
Question 3 – What is an effective interest rate?
Question 4 – What is continuous compound interest?
Section 2 – Exponential and Logarithm Functions in Finance
Question 1 – How do you convert between the exponential and logarithmic forms of an equation?
Question 2 – How do you evaluate a logarithm?
Question 3 – How do you solve problems involving using logarithms?
Section 3 – Annuities
Question 1 – What is an ordinary annuity?
Question 2 – What is an annuity due?
Question 3 – What is a sinking fund?
Section 4 – Amortization
Question 1 – How do you find the present value of an annuity?
Question 2 – How is a loan amortized?
Question 3 – How do you make an amortization table?
Chapter 6 – Introduction to Statistics
Section 1 – Representing Data
Question 1 – What is a frequency distribution?
Question 2 – How do you make a histogram?
Question 3 – What is a bar chart?
Section 2 – Measuring Central Tendency
Question 1 – What is the difference between a sample and a population?
Question 2 – What is the mean of a dataset?
Question 3 – What is the median of a dataset?
Question 4 – What is the mode of a dataset?
Section 3 – Measuring Variation
Question 1 – What is the range of the dataset?
Question 2 – What is the variance and standard deviation of a dataset?
Chapter 7 – Introduction to Probability
Section 1 – Basic Concepts of Probability
Question 1 – What is an event?
Question 2 – What is a probability?
Question 3 – How is probability assigned?
Section 2 – Probability Rules
Question 1 – How do you find the probability of an event?
Question 2 – What is the complement of an event?
Question 3 – How do you find the probability of a compound event?
Question 4 – What is the difference between marginal and joint probability?
Section 3 – Conditional Probability
Question 1 – What is conditional probability?
Question 2 – How is conditional probability computed?
Question 3 – What are independent events?
Question 4 – What is the product rule for probability?
Question 5 – How is Bayes’ Rule used to compute conditional probability?
Chapter 8 – Counting Principles
Section 1 – Permutations
Question 1 – How do you count choices using the Multiplication Principle?
Question 2 – What is factorial notation?
Question 3 – What is a permutation?
Section 2 – Combinations
Question 1 – What is a combination?
Question 2 – What is the difference between a permutation and combination?
Section 3 – Probability with Permutations and Combinations
Question 1 – How do you find the likelihood of a certain type of license plate?
Question 2 – How do you find the likelihood of a particular committee?
Question 3 – How do you find the probability of winning a lottery?
Question 4 – How do you find the likelihood of detecting a defective product?
Chapter 9 – Introduction to Probability Distributions
Section 1 – Discrete Probability Distributions
Question 1 – What is a random variable?
Question 2 – How is the expected value of a probability distribution calculated?
Question 3 – How is the standard deviation of a probability distribution calculated?
Section 2 – Binomial Probability Distribution
Question 1 – What is binomial probability?
Question 2 – What are the characteristics of a binomial probability distribution?
Section 3 – Poisson Probability Distribution
Question 1 – What is Poisson probability?
Question 2 – What are the characteristics of a Poisson distribution?
Section 4 – Continuous Probability Distributions
Question 1 – What is a normal probability distribution?
Question 2 – What is a standard normal probability distribution?
Section 5 – Uniform and Exponential Probability Distributions
Question 1 – What is a uniform probability distribution?
Question 2 – What is an exponential probability distribution?