Course Objectives

Linear Functions:

  • Calculate the slope of a line; graph a line; find the equation of a line.
  • Use linear concepts in a business context (e.g, supply/demand and break-even analysis)
  • Understand the concept of linear regression and use MS Excel to apply it to real-world data to make predictions.

Nonlinear Functions:

  • Calculate the difference quotient using a nonlinear function.
  • Read information from graphs and sketch graphs of nonlinear functions.
  • Identify the vertex of a parabola as the maximum or minimum of a quadratic formula and apply this concept to real-world problems (e.g, maximize the profit and minimize the cost).
  • Solve exponential and logarithmic equations.
  • Construct exponential models in applications problems (e.g, radioactive decay and bacteria population growth).
  • Understand the concept of quadratic and exponential regression and use MS Excel to apply it to real-world data to make predictions.

Linear Systems of Equations:

  • Use substitution and elimination to solve systems with two equations.
  • Use the method of Gaussian elimination to solve systems with three equations by hand.
  • Use technology (MS Excel or graphing calculators) to solve systems.
  • Solve real-world problems involving systems of equations.

Financial Mathematics

  • Solve applications problems using simple interest and compound interest.
  • Find the present value of or payments made on an annuity or loan.
  • Find the future value of or payments made into a sinking fund.
  • Use technology to solve financial math problems.

Sets and Operations

  • Find the union, intersection, complement, and Cartesian product of sets. Also, find the cardinality of these.
  • Draw Venn diagrams from real-world data.
  • Do applications-based problems involving: the addition principle, the multiplication principle, permutations, and combinations.

Probability

  • Identify the sample space of an experiment.
  • Understand the properties of a probability distribution.
  • Be able to solve probability (including conditional probability) problems.
Page last modified: 16 Aug 2010, 08:52 PM