Description

Functions in context of business, social science and economics. Applications are emphasized including marginal analysis of cost, profit, revenue; break-even; supply and demand; present and future values of annuities; quantities that grow or decay exponentially; and data analysis to determine and use appropriate linear, polynomial, exponential and quadratic mathematical models.

Grading Basis

Graded

Prerequisites

MATH 99 with a grade of C or better, or a grade of 3 or higher on the Smarter Balanced exam, or appropriate placement score/criteria.

### Course Learning Outcomes

### Core Topics

Use symbolic algebra and/or technology to do the following:

- Create linear models from data and verbal descriptions using context appropriate choices for variables, scale, and units.
- Graph and solve linear functions, equations and inequalities and interpret the solutions in context.
- Solve systems of equations graphically and analytically. Interpret results in context (break-even, equilibrium points, etc.)
- Determine the appropriate mathematical model for a variety of situations, choosing between linear, quadratic, power, exponential, logarithmic, logistics, and piece-wise functions.
- Create exact and approximate models of functional relationships from data.
- Find the inverse functions and the corresponding domain, range, ordered pairs and units.
- Analyze end-behavior of various functions in terms of growth, decay, or asymptotic behavior and interpret this result in context.
- Use graphing technology competently in the context of this course.
- Use matrices to represent systems of equations (optional)