MATH 1113
Precalculus
Georgia Highlands College
Course Syllabus
Xiuming Quan
Spring, 2009
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20265 |
MATH |
1113 / 2 |
Precalculus |
30/30 |
Floyd Campus |
3 |
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10-JAN-09 |
04-MAY-09 |
M W |
2:00PM-3:15PM |
W-333 |
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Instructor(s):Xiuming Quan |
Course
Descriptions:
Mathematics 1113: Precalculus 3-0-3
This course is designed to prepare students for calculus, physics and related technical
subjects. Topics include an intensive study of algebraic and trigonometric functions
accompanied by analytic geometry as well as DeMoivre’s theorem, polar coordinates and
conic sections. Appropriate technology is utilized in the instructional process.
Prerequisite: MATH
1111
Instructor:
Xiuming Quan
E-mail: xquan@highlands.com fccs1100@gmail.com
Textbook:
TEXTBOOK
Precalculus, 3rd edition
Blitzer
Pearson/Prentice Hall
TI-83 or equivalent graphing calculator is required.
Course Content: Selected
sections from chapters 4-6.
Grading Policies:
|
Points |
Component |
|
100 |
Test 1 |
|
100 |
Test 2 |
|
100 |
Test 3 |
|
100 |
Test 4 |
|
200 |
Final |
|
100 |
Home work |
|
700 |
Total |
Four exams and a comprehensive final exam will be given during the
semester. Each exam will count 100 points, while the comprehensive final exam will count 200 points.
Students’ averages for the semester will be based on a total
of 700 points (400 points from the exams, 200 points from the final exam, and 100 points from Home work). The usual grading
scale (90%—100% is an A, 80%—89% is a B, etc.) will apply. If a student simply quits attending class without officially
withdrawing, the student will receive a grade of F$ in the class.
Calculators: Use of
calculators is allowed on all tests. Each student taking this course needs access to a TI-83 or equivalent graphing/scientific
calculator. Students will use their calculator while participating in class, taking exams, and completing homework exercises.
Please note that sharing calculators during graded assignments is not permitted.
Academic Policies: If
a student simply quits attending class without officially withdrawing, the student will receive a grade of F in the class.
The last day for officially withdrawing from class without grade penalty is mid-semester. Withdrawals after mid-semester are
subject to approval by the Vice President for Academic Affairs and will be issued only in cases of extreme emergency or hardship.
Please refer to the Floyd College catalog or web site for general academic information.
The mid-semester date for Spring 2009
is March 6,2009.
Student Learning
Team Goal—Mathematics: The student will be able to demonstrate the ability to apply mathematical
thought and methods.
Related Team Outcomes
· Students
will be able to demonstrate algebraic skills in solving equations.
· Students
will be able to graph an abstract function.
· Students
will be able to graph a real-life function.
· Students
will be able to model concrete problems and arrive at solutions.
· Students
will be able to graph relationships other than functions.
· Students
will be able to demonstrate algebraic skills in solving inequalities.
· Students
will be able to use appropriate technology to enhance mathematical thinking and understanding
· Students will be able to interpret a real-life function.
Attendance: Students are expected to attend each
and every scheduled class session. Since lectures begin promptly at the scheduled time, students are encouraged to avoid
arriving late to class. Participation is partially measured through attendance. Roll will be taken at the beginning of each
class session.
Make-up tests: No make-up tests will be given in this class.
If a student misses a test then they will receive a grade of zero on that test. At the end of the semester all students
have the option of replacing one test grade with their grade on the final exam. Students that know in advance they will
be absent on a test day may make arrangements with the instructor to take the test at a time prior to the time the class takes
the test.
The take-home project grades will not be replaced under any circumstances.
Therefore, any uncompleted take-home projects will count as a zero in the calculation of students' averages.
Time Limits on Exams:
Students are expected to complete the in-class exams in a timely
fashion. It is imperative that students prepare adequately in advance of the exams in order to work quickly and efficiently
during the tests. Students will have 1 hour 15 minutes to complete the in-class exams and 2 hours to complete the final
exam.
Cheating: Cheating
(or even the appearance of cheating) will not be tolerated in this class. Any student that the instructor suspects of cheating
will be removed from the testing area. The issue will be referred to the appropriate Floyd College committee for investigation.
ADA: Students
seeking reasonable accommodations under ADA should contact the Floyd College ADA coordinator (Rome campus) for information and guidance.
Sheryl Ballenger, Director of
the Access Center –Disability Support
800-332-2406
or (706) 802-5003 voice or (706) 802-5123 v/tdd
This message applies
only to students receiving financial aid: Federal regulations state that if a student did not attend classes and received
failing grades, then the grades were not earned and financial aid needs to be reduced accordingly. Please be advised
that any student receiving a 0.00 GPA will be required to prove that the 0.00 GPA was earned by attending classes or completing
requirements for each class. Students who have earned at least one passing grade for the semester will not be affected
by this regulation. If a student has properly withdrawn from all classes, the student’s financial aid should be
adjusted from the time they signed the withdrawal form.
This is a tentative schedule
and the instructor reserves the right to alter it as and when necessary
Topics for Precalculus
MATH 1113
Georgia Highlands
College
Spring 2009
|
TOPICS |
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• Trigonometric Functions |
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o Right Triangle |
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Perspective |
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o Unit Circle Perspective |
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• Graphs of Trigonometric |
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Functions |
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• Inverse Trigonometric |
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Functions |
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• Trigonometric Identities |
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• Trigonometric Equations |
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• Law of Sines |
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• Law of Cosines |
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• Vectors |
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• DeMoivre’s Theorem |
TEXTBOOK
Precalculus, Third Edition, Robert Blitzer (ISBN 0-13-187479-9)
CALCULATOR REQUIREMENT
TI-83, TI-84, or equivalent graphing calculator is required.
SUGGESTED COURSE CONTENT
|
Chapter 4 Trigonometry |
|
4.1 Angles and Radian Measure |
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4.2 Trigonometric Functions: The Unit
Circle |
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4.3 Right Triangle Trigonometry |
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4.4 Trigonometric Functions of Any Angle |
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4.5 Graphs of Sine and Cosine Functions |
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4.6 Graphs of Other Trigonometric Functions |
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4.7 Inverse Trigonometric Functions |
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4.8 Applications of Trigonometric Functions |
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Chapter 5 Analytic Trigonometry |
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5.1 Verifying Trigonometric Identities |
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5.2 Sum and Difference Formulas |
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5.3 Double-Angle, Power-Reducing, and Half-Angle |
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Formulas |
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5.4 Product-to-Sum and Sum-to-Product Formulas (Omit |
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this section, unless timing permits coverage) |
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5.5 Solving Trigonometric Equations |
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Chapter 6 Additional Topics in Trigonometry |
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6.1 Law of Sines |
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6.2 Law of Cosines |
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6.3 Polar Coordinates |
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6.4 Graphs of Polar Coordinates (Omit this section, unless |
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timing permits coverage) |
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6.5 Complex Numbers in Polar Form: DeMoivre’s |
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Theorem |
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6.6 Vectors |
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6.7 Dot Products |
This list contains 18 sections of material to be covered in the course. The
above format allows for four review days, four exam days, and two days to
review for the final exam. Typically, Chapter 4 is divided into two exams.
Exam 1 covers 4.1-4.4, while Exam 2 covers 4.5-4.8.
A quick review of section 1.6 (Transformations of Function) may be
appropriate before covering sections 4.5 and 4.6. In addition, a quick
review of section 1.8 (Inverse Functions) may be appropriate before
covering section 4.7.