Last revised 12/01/03

 

   SYLLABUS                                  

  MAT 118 – TRIGONOMETRY

 

 

Instructor: ______________________________          Office: __________________________

Phone:        ______________________________          E-mail:__________________________

 

 

Lead Instructor:  Roberta Christie                       Office: J 1004

Phone: 1-800-481-2242 or 1-618-634-3328     E-mail: (robertac@shawnee.cc.il.us)                            

 

 


Course Description:

Study and applications of fundamental concepts in trigonometry. Includes trigonometric functions, identities, equations, and inverse functions; graphing, degree and radian measure, solution of triangles, vectors, polar coordinates and complex numbers. Graphing calculators will be used in this course.

 

Prerequisites:  College Algebra (MAT 116) or satisfactory math background in high school and consent of instructor.

 

Textbook(s) and Class Materials:

College Algebra and Trigonometry and Pre-calculus, 2nd ed., Lial, Hornsby, and Schneider, Addison Wesley Longman, 2001

Supplementary Materials, A set of instructional videos is on reserve in  the Shawnee Community College library.  Any student needing additional instruction is encouraged to make use of these videos.

Calculator:  Each student is required to have a graphing calculator.  A Texas InstrumentTI-83 is recommended. There are a limited number of calculators for loan on a first come basis.

 

Course Objectives:

            1.         To guide the student in his/her study of trigonometry.

            2.         To provide for student development in the following areas:

                                    knowledge of triangles

                                    special triangles, special angles

                                    angles of rotation, reference angles

                                    degree and radian measure of angles

                        knowledge of the definitions, and graphs, and properties of the six                                                         trigonometric

                                    functions and their inverses

                                    a working understanding of the fundamental identities

                                    how to solve right and oblique triangles

                                    how to solve trigonometric equations

                                    knowledge of vectors

                                    knowledge of polar coordinates (if time permits)

                                    knowledge of complex numbers (if time permits)

                                    Knowledge of sophisticated trigonometric graphing (if time permits)

            3.         To increase the student's trigonometry vocabulary

            4.         To provide transitional motivational information ("why" as well as "how")

            5.         To provide for student awareness of the role of trigonometry in his/her study of                          mathematics.

           6.          Students will become adept at using a graphic calculator

 

Instructional Modes:

1.         lecture/discussion (primary mode)        

2.         solving problems on the chalkboard to demonstrate methods and procedures will be used extensively.

 

Student Expectations:

            1.  Attend class regularly and be on time.

            2.  Read and prepare assignments prior to class. 

            3.  Turn in assignments on time.

            4.  Be prepared for exams over assigned material.  Take tests at regularly scheduled times                          unless extenuating circumstances interfere.  Quizzes may be announced or                                     unannounced.

 

Student Evaluation:

Hour tests will be given at the end of each chapter.  A comprehensive final will be given at the end of the course.  The hour tests will count 100 points each and the final will count 200 points.

***Specifics on the grading procedures and/or a tentative course schedule developed by the instructor, may accompany this syllabus.

 

Grading Policy:

 

Final grades will be determined with the following approximate grading scale and will be based upon the total number of points accumulated on the quizzes, the work in the textbook, and the take home exams.

                                    A = 90% or above

                                    B = 80 ‑ 89%

                                    C = 70 ‑ 79%

                                    D = 60 ‑ 69%

                                                                                                                            F =  0 ‑ 59%

Office Hours: 

Office hours will be posted on the bulletin board outside the instructor’s office.  Other times are possible by scheduling individual appointments at mutually convenient hours.  Students are encouraged to consult regularly with the instructor regarding class progress or other topics of concern.

 

Inclement Weather Policy:

Become familiar with the inclement weather policy of Shawnee Community College.  It will be read in all classes and posted in the cafeteria or student lounge.

 

Academic Dishonesty or Plagiarism:

Review the college policy regarding academic dishonesty in the Student Handbook.

 

College Policy:

Administrative policy prohibits the following:  eating, drinking, or using tobacco in the classroom; bringing children or other unauthorized individuals to the classroom.

 

Attendance Policy:

Each student is expected to attend all class meetings.  The student is expected to be on time and ready to begin class with the proper materials at the beginning of each class period.  If a student will be unable to attend class, it is their responsibility to contact the instructor to obtain homework assignments and other information.

 

Topical Outline:

1.              Trigonometric Functions

a.        Angles

b.       Right Angles and Trigonometric Functions

c.        Finding Trigonometric Function Values

d.       Solving Right Triangles

e.        Radian Measure

f.         The Unit Circle and Circular Functions

g.        Graphs of the Sine and Cosine Functions

h.        Graphs of Other Circular Functions (Optional)

2.      Trigonometric Identities and Equations

a.        Fundamental Identities

b.       Verifying Trigonometric Identities

c.        Sum and Difference Identities

d.       Double-Angle and Half-Angle Identities

e.        Inverse Trigonometric Functions

f.         Trigonometric Equations

g.        Equations Involving Inverse Trigonometric Functions

3.      Applications of Trigonometry

  1. Oblique Triangles and the Law of Sines
  2. The Law of Cosines
  3. Vectors and the Dot Product
  4. Application of Vectors

 

NOTE:            The above schedule and procedures in this course are subject to change in         the event of extenuating circumstances.

 

Instructor’s Page: