# MATH115 - Precalculus

## General

MATH

115

00001827

Lecture

### 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

5

5

No

Yes

04

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).

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## Dependencies

No dependencies 720 4th Avenue South
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