Mathematics 138

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


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