Houston Community College
Northwest College
Math Department
Instructor : Hung Q. Dam
Phone : 832-798-5983
Spring 2016
CRN: 88711
Math 1316 : Trigonometry
Jan 20-May 11 (7:30 pm-Final)
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
Page 1 of 6
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.
Page 2 of 6
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
W Feb 10
Radian Measure
Aplications of Radian Measure
Page 3 of 6
2.5
3.1
3.2
COURSE CALENDAR, TRIGONOMETRY, SPRING 2016
WEEK # 5
Major Exam # 1
M Feb 15
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
Page 4 of 6
COURSE CALENDAR, TRIGONOMETRY , SPRING 2016
SPRING BREAK: MARCH 10 - MARCH 20
WEEK # 9
M Mar 21
W Mar 23
Major Exam # 2
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
Page 5 of 6
COURSE CALENDAR, TRIGONOMETRY, SPRING 2016
WEEK # 13
M Apr 18
W Apr 20
Major Exam # 3
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
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
Page 6 of 6
8.6