Plane Trigonometry (MATH 88711)

Instructor: Hung. Dam

Houston Community College                                                     Spring 2016

Northwest College CRN: 88711

Math Department Math 1316 : Trigonometry

Instructor : Hung Q. Dam Jan 20-May 11 (7:30 pm-Final)

Phone : 832-798-5983                                  MW 7:00 - 8:30 pm- Room 217

 

 

COURSE SYLLABUS, TRIGONOMETRY, SPRING 2016

Course intent: This course provides a detailed study of:

(a)   Trigonometric Functions of an acute angle

(b)  Trigonometric Functions of  the 2 acute angles in a right triangle

(c)   Radian measure and the Unit Circle

(d)  Circular Functions of any arc on the Unit Circle

(e)   Trigonometric Identities

(e) Inverse Circular Functions and Trigonometric Equations.
(f)  Complex Numbers, Polar Equations and Parametric equations.

Course Objectives: Upon completion of this course, a student should understand:

(1) The nature and the range of each trigonometric function

(2) The degree measure and the radian measure of a same arc

(3) The Trigonometric Identities in which the right side is 1

(4) The Inverse Trigonometric Functions and their ranges

(5) The Law of Sines in a triangle

(6) The Law of Cosines in a triangle

(7) The Dot Product and the Cross Product of 2 vectors

(8) The Product Theorem for 2 complex numbers

(9) The Quotient Theorem for 2 complex numbers

Textbook : TRIGONOMETRY, by Lial, Hornsby, Schneider, Daniels, 10th edition,

Pearson Publishing

Resource Materials: Any student enrolled in Math 2415 at HCCS has access to the Academic Support Center where they may get additional help in understanding the theory or in improving their skills. The Center is staffed with mathematics faculty and student assistants, and offers tutorial help, video tapes and computer assisted drills. Also available is a Student’s Solutions Manual which may be obtained from the Bookstore.

Suggested Methods: Students are encouraged to work the review exercises at the end of each chapter. Also, they are encouraged to visit the Academic Support Center at their respective college

COURSE SYLLABUS, TRIGONOMETRY, SPRING 2016

 

Attendance : Regular attendance is extremely important in mathematics classes. You may be dropped for excessive absence (more than 12.5% of the class time, or 2 weeks or the equivalent). Veterans with excessive absence will be dropped with an official drop form by the last drop day. If you should decide to withdraw from the course, initiate a student drop in the office. Should your name remain on the roll at the end of the term, you must receive a grade.

 

Major Exams: There will be 3 major exams. Each major exam score will count for 25% of the final course average.

Final Exam: The final exam will cover all the course material. The final exam score will count for 25% of the final course average.

Grading Formula: The grading formula is:

 

Course average      =     ( T1 + T2 + T3 + F ) ( 0.25 )

 

where T1, T2, T3 are the 3 major exam scores, and F  the final exam score.

 

Americans With Disabilities Act (ADA): Persons needing accommodations due to a documented disability should contact the ADA counselor for their college as soon as possible.

Departmental Policies:

 

1. The final exam is comprehensive and questions on it can deal with any of the course objectives.

2. Each student should receive a copy of the syllabus for the course on the first day of class.

3. A comprehensive final examination must be given. The final examination must be taken by all students.

4. All major exams should be announced clearly in advance in the course syllabus.

5. The final exam must count for at least 25% and at most 40% of the final grade.

6. The final course average will be used in the usual manner. Grades will be assigned as follows:

Course average :                                           Grade :

90 - 100 A

80 -  89 B

70 -  79 C

60 -  69 D

Below 60 F

7.Either an open book or a take-home major exam may be given at the discretion of the instructor.

8. Review sheets (if any) should be comprehensive and the student should not feel that classroom notes, homeworks and major exams may be ignored in favor of the review sheets for examinations.

COURSE CALENDAR, TRIGONOMETRY, SPRING 2016

 

 

SESSION DATE                                   TOPICS                                            SECTIONS

WEEK # 1

 

M Jan 18, 2016

 

Martin Luther King Holiday

W Jan 20

Angles

Angle Relationships and Similar Triangles

1.1

1.2

WEEK # 2

M Jan 25

Trigonometric Functions

Using the Definitions of the Trigonometric Functions

1.3

1.4

W Jan 27

Trigonometric Functions of Acute Angles

2.1

WEEK # 3

M Feb 01

 

Trigonometric Functions of Non-Acute Angle.
Finding Trigonometric Function Values Using a Calculator

 

2.2

2.3

W Feb 03

Solving Right Triangles

2.4

WEEK # 4

 

M Feb 08

Futher Applications of  Right Triangles

 

2.5

W Feb 10

Radian Measure

Aplications of Radian Measure

3.1
3.2

COURSE CALENDAR, TRIGONOMETRY, SPRING 2016

 

 

WEEK # 5

M Feb 15

 

Major Exam # 1

W Feb 17

The Unit Circle and Circular Functions

Linear and Angular speed

3.3
3.4

WEEK # 6

 

M Feb 22

Graphs of the Sine and Cosine Functions
Translations of the Above Graphs

4.1
4.2

W Feb 24

Graphs of the Tangent and Cotangent Functions
Graphs of the Secant and Cosecant Functions

4.3

4.4

WEEK # 7

M Feb 29

Harmonic Function

4.5

W Mar 02

Fundamental Identities
Verifying Trigonometric Identities

 

5.1
5.2

WEEK # 8

M Mar 07

Sum and Difference Identities for Cosine

Sum and Difference Identities for Sine and Tangent

 

5.3
5.4

W Mar 09

Double-Angle Identities
Half-Angle Identities

5.5
5.6

COURSE CALENDAR,  TRIGONOMETRY ,  SPRING 2016

SPRING BREAK: MARCH 10 - MARCH 20

 

WEEK # 9

 

M Mar 21

 

Major Exam # 2

 

W Mar 23

Inverse Circular Functions
Trigonometric Equations I

 

6.1

6.2

WEEK # 10

 

M Mar 28

Trigonometric Functions II

Equations Involving Inverse Trigonometric Functions

6.3
6.4

W Mar 30

Oblique Triangles and the Law of Sines
The Ambiguous Case of the Law of Sines

7.1
7.2

WEEK # 11

M Apr 04

The Law Of Cosines

7.3

W Apr 06

Vectors, Operations, and the Dot Product

7.4

WEEK # 12

M Apr 11

Applications of Vectors

7.5

W Apr 13

 

Complex Numbers

8.1

 

 

 

COURSE CALENDAR, TRIGONOMETRY, SPRING 2016

 

 

WEEK # 13

M Apr 18

 

 

Major Exam # 3

 

W Apr 20

Polar Form or Trigonometric Form of Complex Numbers

8.2

WEEK # 14

M Apr 25

The Product and Quotient Theorems

8.3

W Apr 27

De Moivre’s Theorem;Powers and Roots of Complex Numbers

Polar Equations and Graphs

8.4
8.5

WEEK # 15

M May 02

Parametric Equations, Graphs, and Applications

8.6

W May 04

Review for Final Exam,

covering all course objectives

 

WEEK # 16

M May 09

Final Exam from 7:30 pm to 9:00 pm

covering all course objectives

 

 

SPRING 2016 SEMESTER ENDS