Dual Enrollment Program Support Course: Finite Math

The support course Finite Math (school credit only) is designed to be taught in the spring semester following Math 1431 Business Calculus (dual credit) in the fall semester.

Course Details

Course Offered: Spring

Topics and Objectives

Chapter and section numbers refer to ??? (???).

1.1 Inductive and Deductive Reasoning

(14 exercises)

Find a counterexample
Use inductive reasoning to identify a pattern
Use deductive reasoning to prove a conjecture

7.1 Introduction to the Rectangular Coordinate System

(19 exercises)

Plot points in the rectangular coordinate system
Graph equations in the rectangular coordinate system

7.2 Graphing Linear Equations

(17 exercises)

Use intercepts to graph a linear equation
Graph horizontal lines
Graph vertical lines

7.3 Solving Systems of Linear Equations

(32 exercises)

Determine whether an ordered pair is a solution of a linear system
Solve linear systems by graphing
Solve linear systems by the substitution method
Solve linear systems by the addition method

7.4 Graphing Systems of Linear Inequalities

(24 exercises)

Graph a linear inequality in two variables
Graph a system of linear inequalities

7.5 Linear Programming

(16 exercises)

Use graphs to determine the maximum and minimum of an objective function
Use linear programming to solve application problems

8.1 Percent, Sales Tax, and Discounts

(20 exercises)

Express a fraction as a percent
Express a decimal as a percent
Express a percent as a decimal
Use the percent formula A=PB to find the unknown

8.3 Simple Interest

(16 exercises)

Calculate simple interest
Use the future value formula to calculate the value of an unknown
Solve applications involving simple interest

8.4 Compound Interest

(20 exercises)

Use compound interest formula to calculate the value of an unknown
Calculate present value using compound interest
Find effective annual yield
Compare investments using different interest rates and compounding periods

8.5 Annuities, Methods of Saving, and Investments

(9 exercises)

Determine the value of an annuity
Determine regular annuity payments needed to achieve a financial goal

11.1 The Fundamental Counting Principle

(27 exercises)

Use the Fundamental Counting Principle to find the number of possible outcomes
Understand concepts involving the Fundamental Counting Principle

11.2 Permutations

(35 exercises)

Use the Fundamental Counting Principle to count permutations
Evaluate factorial expressions
Use the permutations formula
Find the number of permutations of duplicate items
Understand concepts involving permutations

11.3 Combinations

(27 exercises)

Distinguish between permutation and combination problems
Use the combinations or permutations formula to evaluate expressions
Solve problems involving combinations
Use combinations, permutations, or the Fundamental Counting Principle to solve problems
Understand concepts involving combinations

11.4 Fundamentals of Probability

(46 exercises)

Compute theoretical probability
Compute empirical probability
Understand concepts involving fundamentals of probability

11.5 Probability with the Fundamental Counting Principle, Permutations and Combinations

(23 exercises)

Compute probabilities with permutations
Compute probabilities with combinations
Understand concepts involving probability

11.6 Events Involving Not and Or; Odds

(50 exercises)

Find the probability that an event will not occur
Find the probability of one event or a second event occurring
Solve conceptual problems involving probability
Understand and use odds

11.7 Events Involving And; Conditional Probability

(44 exercises)

Find the probability of one event and a second event occurring
Compute conditional probabilities
Understand concepts involving conditional probability

11.8 Expected Value

(12 exercises)

Compute the expected value
Use expected value to solve applied problems
Use expected value to determine the average payoff or loss in a game of chance

12.1 Collecting Data and Organizing Data

(33 exercises)

Select an appropriate sampling technique
Understand and interpret data
Organize and present data
Apply estimation techniques to information given by graphs
Identify deceptions in visual displays of data
Understand concepts involving sampling, frequency distributions, and graphs

12.2 Measures of Central Tendency

(45 exercises)

Determine the mean for a data set
Determine the median for a data set
Determine the mode for a data set
Determine the midrange for a data set
Interpret graphs, tables, and stem-and-leaf plots to be able to find the mean, median, mode and midrange
Understand concepts involving measures of central tendency

12.3 Measures of Dispersion