MATH 165 - Precalculus

(MATF, GEEL)

An examination of topics from advanced algebra, trigonometry, conics, and functions and applied problems. This course is designed to prepare students for MATH 181. PRE- or COREQUISITE(S): A grade of C or better in MATH 050 and concurrent enrollment in MATH 065, a grade of C or better in MATH 098, concurrent enrollment in MATH 065, or appropriate score on the mathematics assessment test, or consent of department. Assessment Level(s): ENGL 101/ENGL 011 or ELAI 990. Four hours lecture each week.

4 semester hours

Course Outcomes:
Upon completion of this course, a student will be able to:

Describe and analyze properties of course functions algebraically, verbally, numerically, and graphically.
Create, recognize, and interpret transformations of course functions and circles algebraically, numerically, verbally and graphically.
Develop a mathematical model from a verbal description or data and apply the mathematical model to solve a problem and interpret the solution.
Simplify expressions, verify identities and solve equations, algebraically.
Solve and interpret absolute value, rational and polynomial inequalities algebraically and graphically.
Combine course functions arithmetically and by composition, and explain the function properties of the newly formed functions.
Determine inverse functions and their properties for appropriate course functions.
Employ the graphing calculator to evaluate, find common points, zeros, symmetries, relative extrema and intervals of inequality of all course functions and parametric equations.
Sketch, by hand, and label significant features on graphs of course functions.

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