Xiuming Quan's Web Site
Georgia Highlands College
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
Precalculus, 3rd edition
TI-83 or equivalent graphing calculator is required.
Course Content: Selected sections from chapters 4-6
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 theGeorgia Highlands College catalog or web site for general academic information.
The mid-semester date for Spring is March 6,
Team Goal—Mathematics: The student will be able to demonstrate the ability to apply mathematical thought and
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 appropriateFloyd College committee
ADA: Students seeking reasonable accommodations under ADA should contact the Floyd College ADA coordinator (Rome campus)
for information and guidance.
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.
Topics for Precalculus
Georgia Highlands College
• Trigonometric Functions
o Right Triangle
o Unit Circle Perspective
• Graphs of Trigonometric
• Inverse Trigonometric
• Trigonometric Identities
• Trigonometric Equations
• Law of Sines
• Law of Cosines
• DeMoivre’s Theorem
Precalculus, Third Edition, Robert Blitzer (ISBN 0-13-187479-9)
TI-83, TI-84, or equivalent graphing calculator is required.
SUGGESTED COURSE CONTENT
Chapter 4 Trigonometry
4.1 Angles and Radian Measure
4.2 Trigonometric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.4 Trigonometric Functions of Any Angle
4.5 Graphs of Sine and Cosine Functions
4.6 Graphs of Other Trigonometric Functions
4.7 Inverse Trigonometric Functions
4.8 Applications of Trigonometric Functions
Chapter 5 Analytic Trigonometry
5.1 Verifying Trigonometric Identities
5.2 Sum and Difference Formulas
5.3 Double-Angle, Power-Reducing, and Half-Angle
5.4 Product-to-Sum and Sum-to-Product Formulas (Omit
this section, unless timing permits coverage)
5.5 Solving Trigonometric Equations
Chapter 6 Additional Topics in Trigonometry
6.1 Law of Sines
6.2 Law of Cosines
6.3 Polar Coordinates
6.4 Graphs of Polar Coordinates (Omit this section, unless
timing permits coverage)
6.5 Complex Numbers in Polar Form: DeMoivre’s
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.