Dual Enrollment Program Support Course: Finite Math

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

(32 exercises)
  • Determine the range for a data set
  • Find the mean, deviation from the mean, and sum of deviations
  • Determine the standard deviation for a data set
  • Understand concepts involving mean, range, and standard deviation

12.4 The Normal Distribution

(44 exercises)
  • Find scores at a specified standard deviation from the mean
  • Use the 68–95–99.7 Rule
  • Convert a data item to a $z$-score
  • Solve applied problems involving normal distributions
  • Understand concepts involving the normal distribution

Course Profile
Finite Math
NameLast Modified
Finite Math COURSE PROFILE 12-10-2025 [docx]2025-12-10