## 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.