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Course Materials for Trigonometry | MATH 229, Exams of Trigonometry

Cuesta CollegeTrigonometry
Prof. Mark D. Turner

Material Type: Exam; Professor: Turner; Class: Trigonometry; Subject: Mathematics; University: Cuesta College; Term: Spring 2009;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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MATH 229 Trigonometry MWF 10:30-11:20 MWF 12:30-1:20
Spring Semester 2009 Room 1702 Room 1702
INSTRUCTOR INFORMATION
Mark Turner
Office: 2326
Office Hours: MW 2:00-2:50
TTh 10:30-11:20
T 12:30-1:20
Email: mturner@cuesta.edu
Office Phone: 546-3100, Ext.2789
Math Div. Fax: 546-3232
Web: http://academic.cuesta.edu/mturner/
COURSE INFORMATION
ADD POLICY
Adds will be taken as space permits. The last day to add is January 31. You may add
online through myCuesta using an ADD code or in the Records office with a signed add
slip. No adds will be accepted after the first week unless the student has been attending
class on a regular basis. Priority will be given to students who have been attending daily.
PREREQUISITES
Completion of Math 127 (Intermediate Algebra) and Math 225 (Geometry) or equivalent
courses with a grade of C or better, preferably within the last year. It is recommended
that students take Math 242 (Precalculus Algebra) prior to this course.
ABOUT THE
COURSE
This course presents trigonometry from a function approach using both right triangle and
circular relationships. The relationships between the angles and sides of triangles and
relationships between central angles and the coordinates of points on a circle are
developed. The course is designed to prepare the student for further study in the
mathematics required in the sciences and technical areas. Specific topics include degree
and radian measure, identities, right and oblique triangle relationships and applications,
trigonometric ratios, functions, and graphs, inverse trigonometric functions and graphs,
vectors, trigonometric form of complex numbers, and polar coordinates and graphs.
STUDENT
LEARNING
OUTCOMES
By the end of this course, the student will be able to:
1. Write (from memory) the following:
•
the eight fundamental identities
•
the double angle identities
•
the half-angle identities
•
the sum and difference of angles identities
2. Prove trigonometric identities algebraically
3. Sketch the graphs of trigonometric functions using the following:
•
amplitude
•
period
•
phase shift
•
vertical translation
4. Correctly apply inverse trigonometric functions in evaluating expressions (including
their domains and ranges)
5. Solve trigonometric equations
6. Perform mathematical operations on vectors
7. Solve applications involving the following:
•
right triangles
•
law of sines
•
law of cosines
•
vectors
•
arc length and sector area
8. Find products, quotients, powers, and roots of complex numbers in both rectangular
and trigonometric form
9. Convert equations between rectangular and polar form
pf3
pf4

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Download Course Materials for Trigonometry | MATH 229 and more Exams Trigonometry in PDF only on Docsity!

MATH 229 Trigonometry MWF 10:30-11:20 MWF 12:30-1:

Spring Semester 2009 Room 1702 Room 1702

I N S T R U C T O R I N F O R M A T I O N

Mark Turner

Office: 2326

Office Hours: MW 2:00-2:

TTh 10:30-11:

T 12:30-1:

Email: mturner@cuesta.edu

Office Phone: 546-3100, Ext.

Math Div. Fax: 546-

Web: http://academic.cuesta.edu/mturner/

C O U R S E I N F O R M A T I O N

ADD POLICY Adds will be taken as space permits. The last day to add is January 31. You may add online through myCuesta using an ADD code or in the Records office with a signed add slip. No adds will be accepted after the first week unless the student has been attending class on a regular basis. Priority will be given to students who have been attending daily.

PREREQUISITES Completion of Math 127 (Intermediate Algebra) and Math 225 (Geometry) or equivalent courses with a grade of C or better, preferably within the last year. It is recommended that students take Math 242 (Precalculus Algebra) prior to this course.

ABOUT THE COURSE

This course presents trigonometry from a function approach using both right triangle and circular relationships. The relationships between the angles and sides of triangles and relationships between central angles and the coordinates of points on a circle are developed. The course is designed to prepare the student for further study in the mathematics required in the sciences and technical areas. Specific topics include degree and radian measure, identities, right and oblique triangle relationships and applications, trigonometric ratios, functions, and graphs, inverse trigonometric functions and graphs, vectors, trigonometric form of complex numbers, and polar coordinates and graphs.

STUDENT LEARNING OUTCOMES

By the end of this course, the student will be able to:

  1. Write (from memory) the following:
    • the eight fundamental identities
    • the double angle identities
    • the half-angle identities
    • the sum and difference of angles identities
  2. Prove trigonometric identities algebraically
  3. Sketch the graphs of trigonometric functions using the following:
    • amplitude
    • period
    • phase shift
    • vertical translation
  4. Correctly apply inverse trigonometric functions in evaluating expressions (including their domains and ranges)
  5. Solve trigonometric equations
  6. Perform mathematical operations on vectors
  7. Solve applications involving the following:
    • right triangles
    • law of sines
    • law of cosines
    • vectors
    • arc length and sector area
  8. Find products, quotients, powers, and roots of complex numbers in both rectangular and trigonometric form
  9. Convert equations between rectangular and polar form

COURSE MATERIALS

Required: The text for this course is Trigonometry; Sixth Edition, by McKeague/Turner. New textbooks are bundled with an Enhanced WebAssign (EWA) access code at no additional charge. You will also need a graphing calculator for this course. I recommend the TI-84 Plus Graphing Calculator, as this is the model I will be using in class. Calculators with computer algebra systems (CAS) will NOT be permitted in class on quizzes or exams. No cell phone calculators are permitted either. An active online account with Enhanced WebAssign is also required for this class. If you purchased a new textbook, your text was bundled with an access code and no additional fee is necessary. If you bought a used textbook, you will need to purchase an access code separately at http://webassign.net/info/ordering_info.html. The cost is $35. Optional: The Precalculus Trigonometry TI-83/TI-84 Tutorial is available on CD-ROM in the bookstore for additional calculator instruction, or you can purchase an online subscription at www.TItutorials.com. The Student Solutions Manual is also available in the bookstore as an optional resource.

ATTENDANCE To do well you must attend class. It is up to you to drop the course (the last day to withdraw is April 11). I may drop any student who has been absent for three consecutive class sessions or a cumulative total of six class sessions unless prior arrangements have been made in advance. If you must be absent from class, it is YOUR responsibility to check the class schedule on my website for any assignments, and to contact a fellow student for any important announcements that you may have missed!

HOMEWORK Daily homework assignments will usually involve a combination of EWA problems and problems from the problem sets in the book. EWA Enhanced WebAssign assignments must be completed by 10:00 am the following class day. Use the resources available within EWA to check your answers, get help in solving the problems, or viewing an example. No late work is accepted, nor can these assignments be made up. If you are absent from class, it is YOUR responsibility to check the class schedule on my web site to see what the homework assignment is for that day. Your 2 lowest EWA homework scores will be dropped at the end of the semester. Textbook Textbook assignments will be given daily, and each assignment is due at the beginning of the next class session. Homework should be completed neatly and in an organized manner, with section and problem numbers clearly indicated. Present your solutions to problems in the order they are assigned. Even problems should be done at the end of each set. Copy each problem (except word problems) and write the steps of your solution in a vertical column instead of across the page. I recommend the green engineering paper because it makes graphing easier and helps organize your work. Please use pencil instead of pen. Make use of office hours or the Math Lab on a regular basis to get help with problems that are giving you difficulty. Textbook assignments will be randomly collected without prior notice. Assignments are all worth 10 points; 6 points if it is at least 75% complete, and one additional point for each correct even problem. Work MUST be shown! Homework that is sloppy, disorganized, or hard to read will not be given any credit. Your lowest text homework score will be dropped at the end of the semester.

ENHANCED WEBASSIGN

To use WebAssign with this class, you will need to self-enroll in the appropriate course and create a user account. If you purchased a new textbook, be sure to have your access code handy. For detailed instructions, please see http://academic.cuesta.edu/mturner/m229/webassign.pdf When you are requested to enter a class key, here is the information you need: 10:30 class (CRN #30511): cuesta 8581 9946 12:30 class (CRN #30512) cuesta 5869 5441 Follow the remaining instructions. If you purchased a used text, you will have an opportunity to purchase an access code online after you log in. For the complete WebAssign Student Guide, go to http://www.webassign.net/manual/WebAssign_Student_Guide.pdf.

STUDENT CONDUCT

Students are expected to conduct themselves in a manner that is appropriate for a college classroom. These expectations include: Arriving to class on time, and once in class staying for the entire period. Listening quietly while the instructor or another student is talking. Being courteous to the instructor and your fellow students. Actively participating when given an activity to perform in class. Cell phones are to be turned off before entering the classroom. Please read the Student Code of Conduct in the Class Schedule for other expectations regarding student conduct.

DISABLED STUDENTS

If you have a disability and might need accommodations in this class, please contact Disabled Student Program & Services in Building 3300 as soon as possible to ensure that you receive the accommodations in a timely manner. You may also discuss your need for accommodations with me.

ACADEMIC HONESTY

Please review the Academic Honesty policy in the Class Schedule. Students who violate these principles are subject to disciplinary procedures. Any students caught cheating on an exam will, as a minimum, receive a failing score on that exam that cannot be replaced. Other possible consequences include being dropped from the class, receiving a failing grade in the class, or even expulsion.

DISCLAIMER Although every effort will be made to adhere to the policies outlined in this syllabus, the instructor reserves the right to revise any information without prior notice.