# MATH115 - Precalculus

## General

Prefix
MATH
Course Number
115
Course ID
00001827
Course Level
Instruction Mode
Lecture
Department(s)
Mathematics & Statistics
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

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).

No dependencies