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Math 1113
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Math 1113

MATH 1113

Precalculus

Georgia Highlands College

Course Syllabus

 

Xiuming Quan

 

 

 

 Spring, 2009

 

20265

MATH

1113 / 2

Precalculus

30/30

Floyd Campus

3

 

 

10-JAN-09

04-MAY-09

M W

2:00PM-3:15PM

W-333

 

 

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

• Trigonometric Functions

o Right Triangle

Perspective

o Unit Circle Perspective

• Graphs of Trigonometric

Functions

• Inverse Trigonometric

Functions

• Trigonometric Identities

• Trigonometric Equations

• Law of Sines

• Law of Cosines

• Vectors

• 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

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

Formulas

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

Theorem

6.6 Vectors

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.

Topics for Precalculus

MATH 1113

Georgia Highlands College

Revised July 2008

TOPICS

Trigonometric Functions

o Right Triangle

Perspective

o Unit Circle Perspective

Graphs of Trigonometric

Functions

Inverse Trigonometric

Functions

Trigonometric Identities

Trigonometric Equations

Law of Sines

Law of Cosines

Vectors

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

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

Formulas

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

Theorem

6.6 Vectors

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.

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