Precalculus

General

Prefix

MATH

Course Number

115

Course Level

Undergraduate

Department/Unit(s)

Mathematics & Statistics

College/School

College of Science and Engineering

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.

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

Courses

MATH115 is a prerequisite for:

Programs

MATH115 is a completion requirement for: