TEXTBOOK: Roland E. Larson and Robert P. Hostetler, Trigonometry,
Seventh Edition.
Instructor: Robert Griffith Office: WM209 Telephone: 614-8290
Office Hours: As posted.
CATALOG DESCRIPTION: Measurement of angles, solution of right triangles, applications to the "real world", identities, graphs of trigonometric functions, solution of oblique triangles, Law of Sines, Law of Cosines, Trigonometric form of complex numbers, DeMoivre's Theorem, polar coordinates.
Prerequisites: Algebra (MAT111) or two years of High School Algebra. Three hours credit.
I. PURPOSE
Trigonometry is generally designed as a preparatory course for those students who would participate in higher mathematics courses and/or science courses. It provides the basis for all engineering mathematics.
II.
OBJECTIVES
OF THE COURSE
A. General Learning Objectives
This course seeks to:
1. Equip the student with a working knowledge of the trigonometric functions
2. Prepare the student for more advanced work in the sciences and mathematics
B. Specific Behavioral Objectives
As a result of the activities and study in this course, the student should be able to:
1. Define the trigonometric functions in terms of the right triangle or circle.
2. Change degree measure to radian measure and vice versa.
3. Use the tables to find values of trigonometric functions.
4. Use the calculator to find values of trigonometric functions.
5. Solve right triangles.
6. Prove trigonometric identities.
7. Demonstrate knowledge of the double angle, half angle, and reduction formulas.
8. Graph the trigonometric functions.
9. Solve oblique triangles using the Law of Sines and Law of Cosines.
10. Write the trigonometric form of complex numbers.
11. Use DeMoivre's Theorem to find roots of real and complex numbers.
12. Graph using polar coordinates.
III. TOPICS TO BE COVERED
A. Trigonometric functions
1. Angle definitions
2. Measurement of angles
3. Definitions of trigonometric functions
4. Functions of angles and numbers
B. Solutions of right triangles
1. Values of trigonometric functions from tables and calculators.
2. Applications
C. Analytic trigonometry
1. Trigonometric identities
2. Addition formulas
3. Double angle, half angle, and reduction formulas
D. Graph of trigonometric functions
E. Exponential and logarithmic functions
F. Oblique triangles
1. Law of Sines
2. Law of Cosines
3. Area of triangles
G. Complex numbers
1. Trigonometric form
2. Graphical representations
3. DeMoivre's Theorem
4. Roots of real and complex numbers
5. Polar coordinates
IV. INSTRUCTIONAL PROCEDURES
A. Lectures on all items with accompanying demonstrations utilizing the chalkboard and slides.
B. Reading assignments.
C. Daily problem assignments
D. Class discussions.
V.
RESPONSIBILITIES
OF STUDENTS
A. Class attendance (see attendance policy below)
B. Read textbook and take notes in class
C. Daily preparation of assignments (see attached assignment sheet)
D. Preparation for examinations
VI. EVALUATION
A. Evaluation Activities
1. Unit tests: There will be four unit tests; each test will be worth 100 points. Tentative dates are on the attached assignment sheet. Make-up tests will be given only for (1) an illness verified by a written excuse from a doctor or the school nurse or (2) a school sponsored activity such as choir tour, athletic team trip, etc. ALL MAKE-UP TESTS MUST BE TAKEN WITHIN ONE WEEK OF THE STUDENT'S RETURN TO CLASS AFTER THE ABSENCE.
2. Assigned homework and quizzes: The quizzes will be of varying point values. No grades or points are given for doing your homework; it is assumed that this is a normal activity for those students who want to learn the material and pass the course.
3. Comprehensive final examination: The examination is worth 200 points.
B. Course grade determination: Add all grades for unit tests, quizzes, and final examination. This total is to be divided by the sum for the unit tests, quizzes, and final examination to produce the final percentage (decimal) number. Grades are assigned in the following manner:
Percentage Grade
90 - 100 A
80 - 89 B
70 - 79 C
60 - 69 D
00 - 59 F
C. ATTENDANCE POLICY:
Regular attendance is essential to realize the purposes of this course. You are expected to attend every class! If circumstances beyond your control require you to be absent from class, you are to notify the teacher prior to the class meeting if at all possible. PLEASE read the university catalog , page 42, concerning attendance in freshman courses. Your grade may be lowered one letter grade for excessive absences. Remember that an absence is an absence regardless of the reason.
VII. STUDENTS WITH DISABILITIES
VIII. READING LIST
A. Required
B. Supplemental Bibliography: None