Number and Title of Course: MATH 109 - Trigonometry
Instructor: Dr. Wayne Summers Office: SCA207B (phone: 454-3230 or 454-3295;
Fax: 454-3103)
Office Hours: MWF: 9-9:50 a.m. TR: 4-4:50 p.m. or by appointment
E-mail: summers_wayne@ColumbusState.edu
Homepage: http://csc.ColumbusState.edu/summers
Catalog Description of Course: A study of the properties of the trigonometric functions. Trigonometric identities, triangles, complex numbers, and polar co-ordinates.(2 credits).
Course Prerequisite: EACT score of 23, Math 108, or permission of instructor.
Required Textbook(s): Trigonometry, 4th Ed., Larson / Hostetler, Heath Publishing, 1997, ISBN 0-669-41737-8.
General Objectives
1) To produce a sound foundation in the mathematical concepts necessary for the study of calculus and science.
Specific Objectives
1) To master basic trigonometric functions
2) To master graphing of trigonometric functions
3) To master fundamental trigonometric identities
4) To understand complex numbers and polar co-ordinates
Major Topics
1) Trigonometric Functions of Angles/Real Numbers
2) Analytic Trigonometry
3) Additional Topics in Trigonometry
4) Complex Numbers
5) Polar Co-ordinates
Instructional Methods and Techniques
1) The class will meet for two fifty-minute lecture/discussion each week.
Assignments for Course
Readings and exercises from the textbook.
Evaluation
Evaluation will be based upon the following:
1) Three tests and Final Exams over the lectures and exercises - 500 pts.
2) Weekly homework assignments due by Monday 12 p.m. - 100 pts.
3) Weekly quizzes (on Thursday) - 100 pts.
Grading Scale
Grades may be determined according to this scale (approximate):
A 90% - 100% B 80% - 89%
C 65% - 79% D 55% - 64%
Late Assignments and Makeup Exams: Late assignments will not be accepted. Homework must be submitted by 12 p.m. Monday each week. Quizzes will be each Thursday and can not be made up. Makeup exams will be given only if the instructor is notified IN ADVANCE of the exam with a legitimate reason for missing the exam. Quizzes cannot be made up.
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Honor Policy: Cheating will not be tolerated. Any student caught cheating will be given a zero on the assignment or exam. Repeat offenders will be given an F for the course and may suffer expulsion from the university. All work must be your own. You may discuss the material in the course and help one another, however, I expect any work you hand in for a grade to be your own. Plagiarism will result in, at best, an "F" for the assignment. A simple way to avoid inadvertent plagiarism is to talk about the assignments, but don't read each other's work or write solutions together. Keep scratch paper and old versions of assignments until after the assignment has been graded and returned to you. If you have any questions about this, please see me immediately. |
WEEKLY SCHEDULE FOR MATH 109 - Trigonometry
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Chapter |
Lecture Topic |
Homework |
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Aug. 26 |
P |
Review of Algebra |
pg.109-11: 18,26,36,50,64 |
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Aug 28 |
1.1,Quiz |
Radian and Degree Measure |
pg.123-6: 6,12,34,58,92 |
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Sept. 2 |
1.2 |
Trig Functions: The Unit circle |
pg.133-5: 8,16,36,42,64 |
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Sept. 4 |
1.3,Quiz |
Right Triangles Trig |
pg.143-7: 6,20,36,62,68 |
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Sept. 9 |
1.4 |
Trig Functions of any Angle |
pg.155-7: 8,22,42,52,64 |
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Sept. 11 |
1.5,Quiz |
Graphs of Sine and Cosine |
pg.166-70: 6,38,42,56,84 |
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Sept. 16 |
1.6 |
Graphs of Other Trig Functions |
pg.178-82: 2,6,12,34,68 |
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Sept. 18 |
REVIEW ,Quiz |
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Sept. 23 |
TEST 1 |
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Sept. 25 |
1.7 |
Inverse Trig. Functions |
pg.190-3: 8,14,48,58,84 |
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Sept. 30 |
1.8 |
Applications of Trig. |
pg.200-5: 4,14,22,28,32 |
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Oct. 2 |
2.1,Quiz |
Using Fundamental Identities |
pg.219-21: 4,22,38,50,58 |
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Oct. 7 |
2.2 |
Verifying Trig. Identities |
pg.227-9: 4,18,26,38,54 |
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Oct. 9 |
2.3,Quiz |
Solving Trig. Equations |
pg.237-40: 8,18,30,42,52 |
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Oct. 14 |
2.4 |
Sum & Difference Formulas |
pg.246-8: 8,20,36,54,72 |
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Oct. 16 |
2.5,Quiz |
Multiple-Angle / Product-Sum Form |
pg.257-60: 4,12,28,64,92 |
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Oct. 21 |
REVIEW |
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Oct. 23 |
TEST 2 |
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Oct. 28 |
3.1 |
Law of Sines |
pg.239-41: 2,14,20,26,30 |
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Oct. 30 |
3.2,Quiz |
Law of Cosines |
pg.283-86: 2,10,22,28,32 |
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Nov. 4 |
4.1 |
Complex Numbers |
pg.326-7: 4,20,40,60,70 |
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Nov. 6 |
4.2,Quiz |
Complex Solutions of Equations |
pg.333-4: 6,14,34,46,50 |
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Nov. 11 |
4.3 |
Trig. Form of a Complex No. |
pg.340-1: 4,12,20,30,42 |
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Nov. 13 |
4.4,Quiz |
DeMoivre's Theorem |
pg.349-51: 2,6,12,16,28 |
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Nov. 18 |
REVIEW |
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Nov. 20 |
TEST 3 |
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Nov. 25 |
6.7 |
Polar Co-ordinates |
pg.479-81: 2,8,22,36,48 |
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Nov. 27 |
THANKSGIVING |
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Dec. 2 |
6.8 |
Graphs of Polar co-ordinates |
pg.489-90: 2,8,16,22,28 |
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Dec. 4 |
REVIEW ,Quiz |
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Dec 8 |
FINAL EXAMS Concurrent Enrolment Students - 11 a.m. - 1 p.m. Highlands Students 1:30 p.m. - 3:30 p.m. |
NOTE: The homework is the minimum amount required for this course. You may do additional problems on your own. Solutions to most odd problems are in the back of the book and should be used to check your answers. Each chapter has a Chapter Test with solution in the back of the book.