MATH 1213 - Plane Trigonometry

Description
A survey of basic trigonometric concepts. Topics include the definitions of trigonometric functions, graphs of trigonometric functions, inverse trigonometric functions, trigonometric identities and equations, applications of trigonometry, complex numbers, and polar coordinates and equations.

Pre-Requisite
Completion of MATH 1203 or higher-level Mathematics course (excluding MATH 1313) with a grade greater than or equal to C or received an appropriate placement score (see placement chart).

3 Credit Hour(s)

Contact Hours
45 lecture hours

3 Faculty Load Hour(s)

Semesters Offered
Fall, Spring, Summer

ACTS Equivalent
MATH1203 (ACTS) - Plane Trigonometry

Grade Mode
A-F

Learning Outcomes
Students completing this course will be able to:

Recognize and use the vocabulary of angles, analyze and classify angles, and convert between units
Apply concepts of linear and angular velocity, arc length, and area of circular sectors
Define, apply, and find the exact values of the six trigonometric functions using right triangles and the unit circle
Graph the six trigonometric functions by hand
Analyze and write equations of simple harmonic motion
Verify and apply trigonometric identities
Solve trigonometric equations
Define, use, and apply inverse trigonometric functions
Define, use, and apply the Law of Sines and Law of Cosines
Recognize and use the vocabulary of vectors (vector, scalar, magnitude, direction) to perform arithmetic on vectors and to solve application problems
Convert complex numbers between standard and trigonometric form
Convert between parametric and rectangular equations of curves and graph parametric curves
Convert between rectangular & polar coordinates and graph polar coordinates and equations

General Education Outcomes Supported

Students develop higher order thinking skills.
Students achieve mathematical literacy

Standard Practices
Topics list

Angles
Trigonometric Functions
Graphs of Trigonometric Functions
Trigonometric Identities
Inverse Trigonometric Functions
Vectors
Laws of Sines and Cosines
Analyzing & Classifying Angles 
Parametric Equations
Polar coordinates and graphing.
Complex numbers

Learning activities

Courses must, at a minimum, cover the core learning outcomes for each topic. Faculty may add to these outcomes, but may not omit any of them.
The content of the course may be taught with or without the use of a graphing calculator as deemed appropriate by the instructor.

Assessments

There will be a common departmental portion on the required comprehensive final exam.
These questions will be in direct support of the Learning Outcomes.
Instructors will report the results of the individual departmental questions when grades are submitted.

Grading Guidelines

At least 70% of the student’s final grade should come from proctored work.