# MATH112 - College Algebra

## General

- Prefix
- MATH

- Course Number
- 112

- Course ID
- 00001820

- Description
- Functions and graphs; polynomial, radical, rational, exponential, logarithmic functions; equations, inequalities, systems of equations; applications. No more than 6 credits from MATH 112, 113, and 115 may be counted toward graduation. Prereq.: MATH 072 or high school advanced algebra with satisfactory math placement score.

- Notes
- Go to www.stcloudstate.edu/mathplacement Placement req prior to Registration

- Cross Listed Courses

## Prerequisites

## Credits

- Min
- 3

- Max
- 3

- Repeatable
- No

## Goals and Diversity

- MN Goal Course
- Yes

- MN Goal Designation(s)
- 04

- Cultural Diversity
- No

## Learning Outcomes

- Outcome
- Apply algebraic, graphical, numerical, and verbal skills to a variety of types of functions: linear, quadratic, polynomial, radical, rational, exponential, and logarithmic functions.

- Outcome
- Analyze behaviors of functions considering domain and range, transformations of familiar functions, intercepts, symmetry, increasing and decreasing intervals, asymptotes, and relative minimum and maximum function values.

- Outcome
- Find real and nonreal complex solutions to quadratic and polynomial equations using factoring, the Rational Zero Theorem, synthetic division, the quadratic formula, and other techniques.

- Outcome
- Use logarithms to solve exponential equations, in the creation of exponential models, and to expand and condense logarithmic expressions.

- Outcome
- Use the difference quotient or two points on the graph to determine the average rate of change of a function.

- Outcome
- Solve systems of linear and nonlinear equations.

- Outcome
- Communicate their knowledge of functions, equations, and inequalities, both orally (e.g. class discussions) and in writing (e.g. written assessments).

## Dependencies

No dependencies