Math 1316 Trigonometry DE
SOUTHWEST COLLEGE
Department of Mathematics
COURSE SYLLABUS
MATH 1316: Plane Trigonometry
Fall 2008 / Distance Education
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INSTRUCTOR: |
Domingo Litong |
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CONFERENCE TIMES: |
by appointment |
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CONTACT INFORMATION: |
domingo.litong@hccs.edu |
Textbook:
Dugopolski, Mark, Trigonometry, Addison-Wesley, Second Edition, 2007.
Catalog Description:
Topics include solutions of triangles, Euler identity, graphing of trigonometric and inverse trigonometric functions, identities, trigonometric equations, applications including DeMoivre’s Theorem, and an introduction to vector analysis. Prerequisite: MATH 1314 or the equivalent. (Plane geometry is recommended). 3 credit (3 lecture).
Prerequisites: grade of C or better in Math 1314 or the equivalent.
Credits: 3 credit hours (3 lecture).
Course Intent & Audience:
This course is intended for students whose curriculum requires trigonometry as a prerequisite for higher mathematics courses. It may also be taken as a first course in trigonometry or as a review course. Students whose curricula are generally non-technical in nature may take this course as a mathematics elective if the necessary algebraic and geometric prerequisites have been met. The transferability of this course as either a mathematics credit or an elective credit is at the discretion of the school to which the student intends to transfer.
Testing policy:
There are 3 major exams and comprehensive final exam. Quizzes may be given as necessary.
Grading policy:
Your final course grade is based on the following standard HCCS scale.
|
Final Average |
90 ≤ Avg ≤ 100 |
80 ≤ Avg < 90 |
70 ≤ Avg < 80 |
60 ≤ Avg < 70 |
Avg < 60 |
|
Final Course Grade |
A |
B |
C |
D |
F |
Grading Formula:
[(Best 3 Grades of 3 exams and Homework*) + Finals] / 4
*Please see homework policy below.
Homework policy:
There is homework after every section. Homework problems will prepare you for the exams. Your overall homework grade replaces your lowest grade from Exam 1, 2, and 3.
Final Examination:
The final examination consists of 33 multiple-choice problems. The problems cover all the material required in the course.
Calculators:
A scientific, graphing calculator is required for the class.
Blackboard Student User ID
Your Blackboard login user ID will be your HCC User ID (sometimes referred to as the “W” number). All HCC students have a unique User ID. If you do not know your User ID, you can look it up by visiting the HCC home page:
- From www.hccs.edu, click on “Login Help” under the “Student System Sign In” field
- Then click on “Retrieve User ID” and follow the instructions.
Or, use the direct link: https://hccsaweb.hccs.edu:8080/servlets/iclientservlet/sauat/?cmd=start
The default student password is “distance.” Students will then be prompted to change their password after their first login. Please visit DE Technical Support FAQs if you need additional assistance with your log in.
HCC Course Withdrawal Policy
The State of
To help students avoid having to drop/withdraw from any class, HCC has instituted an Early Alert process by which your professor will “alert” you and Distance Education (DE) counselors that you might fail a class because of excessive absences and/or poor academic performance. Contact your DE professor regarding your academic performance or a DE counselor to learn about what, if any, HCC interventions might be available to assist you – online tutoring, child care, financial aid, job placement, etc. – to stay in class and improve your academic performance.
In order to withdraw from your DE class, you MUST contact your DE professor and this must be done PRIOR to the withdrawal deadline to receive a “W” on your transcript. If you do not withdraw before the deadline, you will receive the grade that you have earned by the end of the semester. Zeros averaged in for required assignments/tests not submitted will lower your semester average significantly, most likely resulting in a failing grade (“F”). If you do not feel comfortable contacting your professor to withdraw, you may contact a DE counselor. However, please do not contact both a DE counselor and your DE professor to request a withdrawal; either one is sufficient.
The final withdrawal deadline for regular term and second start classes is November 6, 2008 at 4:30pm. Classes of other duration (mini-term, flex-entry, 8-weeks, etc.) may have different final withdrawal deadlines. Please visit the online registration calendars or contact the HCC Registrar’s Office to determine class withdrawal deadlines.
Student Services
DISTANCE EDUCATION ADVISING AND COUNSELING SERVICES:
Much DE student information can be found on the DE Student Services website: www.de.hccs.edu. Advising or counseling can be accomplished by telephone at 713/718-5275 - option # 4 or via email at decounseling@hccs.edu. Student Services Associates (SSA) and Counselors can assist students with admissions, registration, entrance testing requirements, degree planning, transfer issues, and career counseling. In-person, confidential sessions, can also be scheduled, if necessary, as HCC counselors maintain a local referral base in order to provide appropriate referrals to students with personal or family issues that may require long-term solutions.
INTERNATIONAL STUDENTS: International Students are restricted to ONLY ONE online/distance education class per semester. Please contact the International Student Office at 713-718-8520 if you have additional questions about your visa status.
STUDENTS WITH DISABILITIES:
"Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc) who needs to arrange reasonable accommodations must contact the appropriate HCC Disability Support Service (DSS) Counselor at the beginning of each semester. Faculty is authorized to provide only the accommodations requested by the
Disability Support Services Office.
Students who are requesting special testing accommodations must first contact the appropriate (most convenient) DSS office for assistance:
Disability Support Services Offices:
System: 713.718.5165
Central: 713.718.6164 – also for Deaf and Hard of Hearing Services and Students Outside of the HCC District service areas.
Northwest: 713.718.5422
Northeast: 713.718.8420
Southeast: 713.718.7218
Southwest: 713.718.7909
After student accommodation letters have been approved by the DSS office and submitted to DE Counseling for processing, students will receive an email confirmation informing them of the Instructional Support Specialist assigned to their professor.
NOTICE FOR STUDENTS WHO LIVE OUTSIDE OF
VIRTUAL CLASSROOM CONDUCT: As with on-campus classes, all students in HCC Distance Education courses are required to follow all HCC Policies & Procedures, the Student Code of Conduct, the Student Handbook, and relevant sections of the Texas Education Code when interacting and communicating in a virtual classroom with faculty and fellow students. Students who violate these policies and guidelines will be subject to disciplinary action that could include denial of access to course-related email, discussion groups, and chat rooms or being removed from the class.
USE OF CAMERAS OR RECORDING DEVICES:
Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Office for Students with Disabilities for information regarding reasonable accommodations.
Academic dishonesty:
All students are required to exercise academic honesty in completion of all tests and assignments. Penalties for academic dishonesty (cheating on a test, collusion on an assignment, etc.) include, but are not limited to, a reduced grade, a “0” on that test or assignment, a “W” in the course, or an “F” in the course. The use of recording devices, including camera phones and tape recorders, is prohibited in all locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Disability Services Office for information.
Resources and supplemental instruction:
Free online tutoring is provided. Log on to http://hccs.askonline.net/ Another resource is the student solutions manual that may be obtained from the bookstore.
Course Schedule:
CHAPTER
Section Number Topics
Chapter 1 Angles and the Trigonometric Functions
Topics to be covered include: angles, degree measure, radian measure, angle relationships, similar triangle, definitions of trigonometric functions, reference angles, problem solving, and the fundamental identity.
1.1 Angles and Degree Measure
1.2 Radian Measure, Arc Length, and Area
1.3 Angular and Linear Velocity
1.4 The Trigonometric Functions
1.5 Right Triangle Trigonometry
1.6 The Fundamental Identity and Reference Angles
Chapter 2 Graphs of the Trigonometric Functions
Topics to be covered include: graphs of the trigonometric functions.
2.1 The
2.2 The General Sine Wave
2.3 Graphs of the Secant and Cosecant Functions
Recommend Examination 1
2.4 Graphs of the Tangent and Cotangent Functions
2.5 Combining Functions (Optional)
Chapter 3 Trigonometric Identities
Topics to be covered include: coverage of fundamental trigonometric identities, verification of trigonometric identities, and identities involving multiple angles. The chapter concludes with a discussion of how to obtain the trigonometric function of products as sums.
3.1 Basic Identities
3.2 Verifying Identities
3.3 Sum and Difference Identities for Cosine
3.4 Sum and Difference Identities for Sine and Tangent
3.5 Double-Angle and Half-Angle Identities
3.6 Product and Sum Identities (Optional)
Chapter 4 Solving Conditional Trigonometric Equations
Topics to be covered include: complex numbers, trigonometric form of complex numbers the product and the quotient of complex numbers, powers and roots of complex numbers, and equations with complex solutions. The unit concludes with the use of DeMoivre’s theorem to find roots to an equation.
4.1 The Inverse Trigonometric Functions
4.2 Basic Sine, Cosine, and Tangent Equations
Recommend Examination 2
4.3 Multiple Angle Equations
4.4 Trigonometric Equations of Quadratic Type
Chapter 5 Applications of Trigonometry
Topics to be covered include: Law of Sines, Law of Cosines, and Area. This unit concludes with vectors in a two-dimensional plane.
5.1 The Law of Sines
5.2 The Law of Cosines
5.3 Area of a Triangle
5.4 Vectors
5.5 Applications of Vectors
_______________________________________________________________________
Chapter 6 Complex Numbers, Polar Coordinates, and
Parametric Equations
Topics to be covered include: complex numbers, trigonometric form of complex numbers, the product and the quotient of complex numbers, powers and roots of complex numbers, equations with complex solutions, and working with polar coordinates. This unit concludes with graphing in the polar coordinate plane.
6.1 Complex numbers
6.2 Trigonometric Form of Complex Numbers
Recommend Examination 3
6.3 Powers and Roots of Complex Numbers
6.4 Polar Equations
Review
Finals
Comprehensive Final Examination
Test |
Chapters Covered on Test |
Date |
|
Test #1 |
1 & part of 2 |
Sept 19 - 21 |
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Test #2 |
Remainder of 2, 3, and part of 4. |
Oct 17 - 19 |
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Test #3 |
Remainder of 4, 5, and part of 6 |
Nov 14 - 16 |
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Final Exam |
Chapters 1 - 6 |
Dec 5 - 7 |
Last Day to Drop: November 6, 2008 @ 4:30 PM.
Course Objectives:
At the completion of this course, a student should be able to:
1. Recognize the six basic trigonometric functions and understand the relationships between them.
2. Evaluate the trigonometric functions of special angles.
3. Find reference or related angles and coterminal angles.
4. Use a calculator or a table to find trigonometric function values of any angle.
5. Solve right triangles.
6. Convert degrees to radians and vice-versa.
7. Solve problems dealing with the application of radian measures.
8. Solve problems relating to linear and angular velocities.
9. Recognize the graphs of the six basic trigonometric functions.
10. Identify the amplitude, period, and phase shift for the six trigonometric functions as appropriate.
11. Sketch functions showing their amplitude, period, and phase shift as appropriate.
12. Recognize the various identities including sum and difference angle formula, double angle formula, half angle formulas, and sum and product formulas.
13. Prove trigonometric identities.
14. Solve trigonometric equations and inverse trigonometric equations.
15. Solve triangles using the sine and cosine laws.
16. Find areas of triangles.
17. Rewrite a complex number in polar form.
18. Use DeMoivre’s Theorem to simplify a complex number raised to a whole number exponent.
19. Find the nth root of a complex number.
20. Solve problems dealing with vectors.
21. Recognize polar graphs.
