MATH 138: Precalculus II (GE)
Prerequisites: Either 1) a grade of C or better in MATH 125, or 2) a passing score
on a placement exam approved by the Department of Mathematics and Statistics.
Credit Hours: (3)
The study of the behavior and applications of functions continues with a focus on
trigonometric functions. Topics include angle measurement, basic trigonometric graphs
and their transformations, trigonometric identities, and solving trigonometric equations.
Complex numbers and conics are also included.
Note(s): General Education and Scientific and Quantitative Reasoning designated course. Will
not satisfy requirements for a major in mathematics.
Detailed Description of Content of the Course
The course will cover the following topics:
1.Transformations of functions
2.Radian and degree measure of angles
3.Trigonometric functions
a.Definitions on right triangles and on the unit circle
b.Reference angles
4.Trigonometric equations
a.Recognizing and applying identities
b.Simplifying trigonometric expressions
c.Solving trigonometric equations
5.Graphs of trigonometric functions
a.Period and amplitude
b.Phase shifts, reflections, symmetries, and transformations
6.Inverse trigonometric functions
7.Law of Sines and Law of Cosines
8.Applications of trigonometry, such as polar coordinates
9.Complex numbers
10.Conics
Detailed Description of Conduct of Course
The course usually follows a traditional lecture format. In all sections students will be asked to work problems assigned as homework. Class discussions centers around these problems. Work with scientific or graphing calculators will be included. Mathematical software may be required.
Goals and Objectives of the Course
Students will to develop skills and the knowledge base needed to study calculus, which includes a working knowledge of the basics of trigonometry.
Students will be able to use the tools of mathematics and quantitative reasoning to conceptualize and solve problems.
Students will be able to:
a.interpret relationships among numeric, symbolic, and graphical information as applied to the real world.
b.solve problems using numeric, symbolic, and graphical information
Assessment Measures
Grades are based on performance on in-class tests, possible homework assignments and competence as displayed on a final exam.
Other Course Information
The course is intended for majors in mathematics or any of the sciences who need knowledge of trigonometry and/or preparation for the study of calculus.
Review and Approval
Sept. 2001 Review Stephen Corwin, Chair
Revised: March 21, 2012
June 20, 2015
March, 2019
March 01, 2021