Pre-Calculus

Math 115

Learning Outcomes for Pre-Calculus (Math 115) at Ohio University (Version of 3-14-07)

A student successfully completing MATH 115 should be able to accomplish the following:

Represent functions* verbally, numerically, graphically, and algebraically.
View a function as a set of ordered pairs or a correspondence between two sets.
Find the domain and range of functions*.
Perform translations and dilations of functions*.
Perform operations (addition, subtraction, multiplication, division, composition) with functions*.
Solve equations, including application problems.
Find inverses of functions* and relate the graph of a function to the graph of its inverse.
Analyze the graph of a function* to answer questions about the function (such as intercepts, domain, range, intervals where the function is increasing or decreasing, possible algebraic definitions, etc.)
Use functions* to model a variety of situations.
Express angles in both degrees and radians.
Define the six trigonometric functions in terms of right triangles and the unit circle.
Solve right triangles, including application problems.
Solve oblique triangles, including application problems.
Algebraically manipulate trigonometric expressions using fundamental trigonometric identities.
Determine the amplitude, period, and displacement of trigonometric functions.
Solve trigonometric equations, including applications.
Define inverse trigonometric functions and find their domains, ranges, and graphs.
Be able to graph conics (parabolas, ellipses, and hyperbolas) given their equations (which may involve "completing the square" and putting the equation in standard form), as well as foci and any asymptotes.

* This course should consider the following types of functions:

The above is based on http://regents.ohio.gov/transfer/tags/CourseDescriptions.htm with modifications tailored to our course.