# Finite Mathematics

MTH 120

## Course Description

Prerequisite: Any MTH 119 with a grade of "C" or better or two years of high school algebra. Includes topics of mathematical modeling (polynomial and rational functions; their graphs and applications; and arithmetic and geometric progressions), systems of equations and inequalities, linear programming, and an introduction to probability (binomial distributions and graphing qualitative data). Covers computer applications of some topics. A GRAPHING CALCULATOR IS REQUIRED. (Those students planning to take MTH 161 should take MTH 151 rather than MTH 120.) (45-0)

## Outcomes and Objectives

### Students will demonstrate an understanding of functions and function notation.

#### Objectives:

• Define the terms function, domain and range.
• Determine if a relationship is a function.
• Graph functions.
• Evaluate functions at points in its domain.
• Determine the domain of a function.
• Distinguish between different types of functions.
• Manipulate the algebraic representation of a function.
• Use functions as mathematical models.

### Students will demonstrate an understanding of functions and function notation.

#### Objectives:

• Use matrices as a tool to manipulate systems of equations.
• Solve systems of equations using appropriate methods.
• Formulate the parts of linear programming problem
• Solve a 2 variable linear programming problem graphically.
• Set up the linear programming problem for solution by Simplex Method.
• Determine if the Simplex Method has found the optimal solution.
• Write out the solution given by the Simplex Method.

### Students can demonstrate an understanding of basic probability and counting.

#### Objectives:

• Define classical and empirical probability, permutations and combinations.
• Use the definitions to determine the probabilities of events.
• Differentiate between permutations and combinations.
• Use the language of sets appropriately.

### Students will be able to demonstrate an understanding of the basic formulas of finance.

#### Objectives:

• Determine the appropriate financial formula to use for a given problem.
• Correctly compute values derive from these formulas.
• Define the terms compound interest, simple interest, annuity, future value and present value.

### Students can demonstrate an understanding of measures of central tendency and variation.

#### Objectives:

• Define and compute the mean, median, and mode.
• Define and compute the standard deviation, variance and range.

### Students will demonstrate an understanding of how to apply mathematics to solve real world problems.

#### Objectives:

• Use the concepts of functions and function notation to solve application problems.
• Use the concepts of systems of equations and inequalities to solve application problems.
• Use the concepts of probability and counting to solve application problems.
• Use financial formulas to solve application problems.