Finite Math (editable text only)

Content Overview

Course Materials YES NO
Lumen OHM Questions?  X
Editable Text?  X – access here
Video Support? X – in text
Written Assessments/ Test? X
Workbook? X

Text

Business PreCalculus/ Finite Math  is a combination of text resources from David Lippman’s Precalculus: An Investigation of Functions, and OpenStax Microeconomics. This text is editable, and can therefore be improved upon in many ways.  You will find video instruction embedded in the pages of the eText.

Topic Overview

This course is delivered in 8 chapters that include the following topics:

Functions and Graphs

  • A review of the basic toolkit of functions including domain and range, transformations, and compositions

Linear Functions in Business

  • Equations of lines
  • Linear models, regression
  • Cost, revenue and profit with linear functions
  • Demand, supply and equilibrium in markets
  • Break-Even Analysis
  • Inequalities

Functions in Business

  • Quadratic equations, factoring, quadratic formula
  • Graphs of quadratic functions
  • Modeling with quadratic functions, revenue
  • Optimization, supply and demand curves
  • Polynomial functions, intercepts
  • Rational functions

Matrices

  • Matrix operations, matrix math in Excel
  • Solving systems with gaussian elimination, inverses
  • Business applications of matrices

Inequalities and Linear Programming

  • Solve standard minimization problems using the simplex method, dual method

Exponential Growth and Decay

  • Exponential functions
  • Growth and decay
  • Logarithmic expressions and properties
  • Exponential and logarithmic equations

Investments and Loans

  • Simple and compound interest
  • Annuities and loans
  • Mortgages and sinking funds, amortization

Probability Theory

  • Independent events, unions of events, conditional probabilities
  • Bayes’ theorem
  • Permutations , combinations, expected value

Length: One semester

Delivery: This text has been used in online and in face to face courses