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MTH212 Introduction to Finite Mathematics

Course Description

This course is an introduction to the mathematics available for the study of social and behavioral sciences, and for application in business. Emphasis is placed on the comprehension of problem-solving techniques for the real world. Specific applications in statistics, accounting, finance, and economics are demonstrated and discussed.

Topics and Objectives

Systems of Equations and Matrices

  • Apply substitution and elimination to solve systems of linear equations.
  • Apply the matrix method to solve systems of linear equations.
  • Define a system of linear equations containing variables.
  • Define matrix algebra.
  • Determine the inverse of a matrix.
  • Apply systems of linear equations to an economic model.
  • Translate real-life problem situations into algebraic expressions.
  • Recognize algebra's relationship in business and real-world situations.

Linear Programming

  • Apply the simplex tableau and pivoting to solve a problem.
  • Define the simplex method for solving maximum problems in standard form.
  • Define the duality principle for solving minimum problems in standard form.
  • Apply the simplex method using mixed constraints.
  • Translate real-life problem situations into algebraic expressions.
  • Recognize algebra's relationship in business and real-world situations.
  • Define and discuss linear programming in business disciplines.

Finance

  • Define interest and compound interest.
  • Define annuities and sinking funds.
  • Determine the amortization schedule for an annuity.
  • Apply financial mathematics to capital expenditure analysis.
  • Translate real-life problem situations into algebraic expressions.
  • Recognize algebra's relationship in business and real-world situations.
  • Recognize the importance of applying a financial model to business.

Probability

  • Define the relationship between permutations and the multiplication principle.
  • Differentiate between permutations and combinations.
  • Solve probability problems using counting principles.
  • Develop concepts in probability, including sample spaces and event probabilities.

Statistics

  • Organize data for problem solving.
  • Interpret pie charts and bar graphs.
  • Determine the mean, median, and mode of a distribution.
  • Determine the range and variation of a distribution.
  • Identify instances of normal distribution.
  • Translate real-life problem situations into algebraic expressions.
  • Recognize algebra's relationship in business and real-world situations.

All topics

  • Review all topics and objectives from Weeks One through Four.

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