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Finite Mathematics

MTH 120

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.

Students will demonstrate an understanding of functions and function notation.

Students will use technology (calculator/computer software) appropriately to do mathematics