Finite Math: David Lippman (pdf text)

Content Overview

Course Materials YES NO
Lumen OHM Questions? X
Editable Text? X – pdf 
Video Support? X
Written Assessments/ Test? X
Workbook? X

Text

The book is available to read online for free, you can download a copy of the entire book here, a bound version can be purchased here . This course was developed to be taught as an online course.

This course package is delivered either in Lumen OHM, or can be imported into your LMS (Canvas, Blackboard, D2L, Moodle).  This course also contains video examples created by James Sousa (mathispower4u.com).

Topic Overview

This course is delivered in 10 modules including the following topics:

Functions

  • A review of the basic toolkit of functions including domain and range, rates of change and behaviors of graphs

Linear Functions and Inequalities

  • Slope and intercept
  • Graphing with points, intercepts
  • Horizontal,Parallel and perpendicular, and vertical lines
  • Intersecting lines
  • Inequalities, compound inequalities, absolute value inequalities

Modeling With Linear Functions and Systems of Equations

  • Profit and cost equations
  • Revenue equations
  • Supply and demand
  • Line of best fit, regression, interpolation and extrapolation
  • Solving systems by graphing, substitution, addition
  • Applications of systems of equations

More Systems of Equations

  • Echelon form
  • Matrix operations
  • Solve systems with inverses

Linear Programming

  • Linear inequalities, systems of linear inequalities, graphs of inequalities
  • Objectives and constraints
  • Maximization, minimization

Quadratic, Polynomial, and Rational Functions

  • Graphs, intercepts, minima, maxima
  • Total cost, revenue, profit
  • Demand
  • Average cost function and function value

Exponential and Logarithmic Functions

  • Interest, population, depreciation
  • Exponential and logarithmic functions, domain, base 10 and e
  • Exponential and logarithmic models, growth and decay

Interest, Annuities, and Loans

  • Simple and compound interest
  • Annuities, payout annuities
  • Loans, installment loans

Finance, Set Theory

  • Multi-stage finance problems
  • Sets, set theory
  • Cardinality

Expected Value

  • Mutually exclusive and independent events
  • Conditional probability and Baye’s theorem
  • Expected value, insurance

Length: One semester

Delivery: This course has been taught online

Online Content

Each section has an algorithmic problem set delivered by Lumen OHM, a set of supporting videos and text, as well as a timed quiz.

One section

Online Practice Problems

Online homework problem set.

Online homework problem set.

Online Assessment Features

Many questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:

  • Entering an integer, fraction, decimal
  • Graphing
  • Reading information from a graph
  • Multiple choice
  • Free-writing (instructor graded)
Graphing question Immediate feedback
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Because of the open license on the libraries of questions in Lumen OHM, you are also free to edit and create your own questions with the question writing tools.

Course Review Access

Follow the link to review the Finite Math course materials in Lumen OHM.