MATH 065 - Precalculus Support

A corequisite course designed to equip students with the skills needed to be successful in MATH 165 by providing support in fundamental mathematics. Topics include exponent rules, polynomial and rational operations, polynomial factoring, solving equations and inequalities, interval notation, functions, function properties, and various function types (including linear, quadratic, rational, exponential, and logarithmic functions), function evaluation, graphing technology, an examination of right triangle trigonometry and applications, graphs and equations involving sine, cosine, tangent, and related basic concepts. PREREQUISITE(S): A grade of C or better in MATH 050, appropriate score on mathematics assessment test, or consent of department. COREQUISITE(S): MATH 165. Assessment Level(s): ENGL 101/ENGL 011 or ELAI 990. Two hours lecture.

2 semester hours

TWO EQUIVALENT CREDIT HOURS. NOT APPLICABLE TO A DEGREE OR CERTIFICATE. MAY NOT BE USED TO SATISFY DEGREE REQUIREMENTS. NOT INCLUDED IN GPA CALCULATION.

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

Evaluate functions and identify their domains and ranges.
Use properties of exponents and perform operations on algebraic expressions, particularly as applied to factoring polynomials and simplifying expressions.
Construct and interpret graphs of linear, quadratic, exponential, and logarithmic functions.
Solve linear, quadratic, and rational equations using graphical and algebraic methods.
Use technology to graph and analyze linear, quadratic, exponential, and logarithmic functions.
Sketch an angle in standard position, find and use reference angles, and understand coterminal angles.
Evaluate the six trigonometric functions for right triangle angles, standard position angles, quadrantal angles, special angles (30°, 45°, 60°) and their reference angles, as well as any angle in degrees or radians using a calculator or without a calculator.
Solve right-triangle trigonometric problems, including word problems.
Define degrees and radians, convert between them, and locate angles in radians on a unit circle.
Use basic identities to simplify expressions involving trigonometric functions.
Solve simple trigonometric equations and graph basic trigonometric functions without a calculator.

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