Northeastern State University

College of Mathematics, Science and Nursing

Department of Mathematics

Syllabus for Math 1613 Trigonometry
PREREQUISITES: MATH 1513 or equivalent

CATALOG DESCRIPTION OF COURSE: Trigonometric functions, equations, and identities; solutions of triangles; trigonometric representation of the complex numbers, as well as other selected topics.

COURSE PURPOSE: This course provides the mathematical development of the concept of trigonometric functions and examines the basic trigonometric functions ( linear, quadratic, inverse). The course also provides for investigating and understanding these functions, their graphs, their relationships to one another. The course provides examples from a wide variety of applications ranging from business to the social sciences as well as in education and the natural sciences. The universal usefulness of this concept in most fields of study is why College Trigonometry is a required course for many majors.

EXPECTED COURSE OUTCOMES: The student will be expected to achieve the following objectives:

  • Draw and describe angles in degree and radian measurements
  • Convert between degree and radian measure of angles.
  • Name, list, and define the trigonometric functions
  • Find the trigonometric functions of any angle measured in degrees or radians.
  • Relate the trigonometric functions to points on the unit circle.
  • Graphs the general curves of each of the six trigonometric functions
  • Derive the fundamental trigonometric identities.
  • Prove and /or disprove trigonometric identities.
  • Solve trigonometric equations.
  • Identify the limit of the domain and the range to graph and find values in the use of the inverse trigonometric functions.
  • Solve triangles using the trigonometric functions and the laws of sines or cosines.
  • Perform vector operations.
  • Manipulate the trigonometric form of complex numbers.
  • Solve a variety of applications using the trigonometric functions.

INSTRUCTIONAL MATERIALS: (Required Textbook) NSU Plane Trigonometry (Custom) by Smith, Brooks/Cole Publishing Co. 1994.

INSTRUCTIONAL PROCEDURES: The expected course outcomes will be realized through a variety of instructional strategies to aid the students' construction of cognitive schemas. Those strategies include, but are not limited to, the following: expository-discussion, demonstration, inquiry, and group activities. The instructor also will integrate appropriate multi-media technology.

College Trigonometry
I. Trigonometric Functions

  • Angles and Degree Measure
  • Radian Measure of Angles
  • Trigonometric Functions on a Unit Circle
  • Trigonometric Functions of Any Angle
  • Trigonometric Functions of Real Numbers

II. Graphs of Trigonometric Functions

  • Graphs of Cosine, Sine, and Tangent Functions
  • General Cosine, Sine, and Tangent Curves
  • Graph of Secant, Cosecant and Cotangent Functions

III. Fundamental Trigonometric Identities

  • Proving Identities
  • Disproving Identities
  • Cofunction and Opposite-Angle Identities
  • Addition Laws
  • Double-Angle and Half Angle Identities

IV. Trigonometric Equations and Inverse Functions

  • Introduction to Trigonometric Equations
  • Trigonometric Equations with Multiple Angles
  • Inverse Trigonometric Functions

V. Solving Triangles

  • Right Triangles
  • Law of Cosines
  • Law of Sines
  • Area and Volumes
  • Vector Triangles
  • Vector Operations

VI. Complex Numbers

  • The Imaginary Unit and Complex Numbers
  • Trigonometric Form of Complex Numbers
  • De Moivre's Formula

ADA COMPLIANCE: If any member of the class feels that he/she has a disability and needs special accommodations of any nature whatsoever, the instructor will work with you and the University's Office of Student Affairs to provide reasonable accommodations to ensure that you have a fair opportunity to perform in this class. Please advise the instructor of such disability and the desired accommodations at the first class attended.

INCLEMENT WEATHER / DISASTER POLICY:
The following are basic premises for the inclement weather policy at Northeastern State University:

1. Classes are expected to be held if at all possible.

2. It is the student's responsibility to receive the information when weather is questionable.

3. Neither students nor faculty are expected to risk life or limb.

4. Faculty members are obligated to hold classes if the University is not closed, unless the faculty member is unable to get to campus.

Policy: During times of inclement weather, decisions concerning day classes will be made by 6:00 a.m. in order for the media to be notified and for students to receive the announcement before they leave home. Decisions concerning night classes will be made by 3:00 p.m.

The following media will be notified regarding closing of the campus:

Radio Stations: Television Stations:

KRMG 740 AM Tulsa KJRH Channel 2 Tulsa

KAYI 107 FM Tulsa KOTV Channel 6 Tulsa

KTLQ 1350 AM Tahlequah KTUL Channel 8 Tulsa

KEOK 102 FM Tahlequah KFSM Channel 5 Fort Smith

KBIX 1490 AM Muskogee Cable Channel 96 Tahlequah

KMMY 97 FM Muskogee

KVOO 1170 AM Tulsa

The automated attendant message on 918-456-5511 will be modified to include information concerning campus operations during inclement weather.