# MATH115 - Precalculus

## General

- Prefix
- MATH

- Course Number
- 115

- Course ID
- 00001827

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

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

- Cross Listed Courses

## Prerequisites

## Credits

- Min
- 5

- Max
- 5

- 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
- Demonstrate knowledge of the six trigonometric functions, methods of solving triangles, trigonometric identities, and trigonometric equations.

- Outcome
- Model problems using their knowledge of these functions, and construct the quantitative solutions to many geometric problems.

- Outcome
- Apply knowledge of trigonometric functions and identities to construct quantitative solutions in geography, physical sciences, engineering, and other disciplines.

- 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