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MATH 113 Section 006: Precalculus Trigonometry

Fall 2011

3 Credit Hours
Primary Instructor: Aurora Ponta
Core Designation: Mathematics
Syllabus subject to change.

Prerequisites

From the Student Records System
  • MATH 112 (undergrad) with a minimum grade of C-
  • Or
  • ACT Mathematics with a minimum score of 29
  • Or
  • SAT Mathematics with a minimum score of 640

Course Description

This course is a continuation of Math 112.  It includes the study of trigonometric and inverse trigonometric functions, as well as extensive work with trigonometric identities and equations.  Other topics contained in this course are:  vectors, complex numbers, DeMoivre’s Theorems, polar coordinates, conic sections, sequences and series.

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Student Learning Outcomes

 Upon completion of this course, students will be able to

  • Solve equations involving trigonometric functions with angles using both radian and degree measure.
  • Recognize and use trigonometric functions and their inverses in applications involving right triangles and oblique triangles.
  • Graph the trigonometric functions in the x-y plane and graph trigonometric functions in polar form.
  • Perform vector operations, use vectors in applications, and work with complex numbers in trigonometric form.
  • Recognize and graph conic sections and identify their pertinent components.
  • Recognize arithmetic and geometric sequences and series.

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Outline of Topics

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Conic Sections

Sequences

Exams and Assignments

 

TEST RULES:  Tests must be taken in the MTLC.

  1. There are four 75-minute tests and a 150-minute comprehensive final exam. For test dates see page 1 of the syllabus.
  2. You may take your tests early:  “Early” means before the close of online registration for that exam.  No registration is needed and no penalties will apply for early tests.  However, no tests will be given on Sundays. You may not begin a test if the MTLC is scheduled to close before the end of your full allotted time: usually you must begin by 8pm (7pm for a final exam), or on Fridays by 3pm (2pm for a final exam).
  3. You must reserve a time in order to take an exam on a test deadline day.  Test weeks are a logistical challenge; you must tell MTLC when you will come, and you must do what you say. The first page of the syllabus lists beginning and ending dates/times for online registration for each exam.  To register online, go to the MTLC website (www.mtlc.ua.edu), select link Test Registration, log in as instructed, select link Register, then choose an available date and time.  You may freely cancel or change your test time while online registration is active.  Be sure to verify your registration: log back in to the test registration site or check your confirmation email message.
  4. After online registration closes (at 5pm on Friday before the deadline week), you must come in person to the MTLC to register or to change your test time.  You must sign up manually with the instructor on duty; no phone calls or email arrangements can be accepted.  In this case, points will be deducted from your test grade as follows:

10 points if you did not register online

5 points if you change your test time after online registration closes but before your scheduled test time

10 points if you miss your test time and reschedule, or if no open seats remain when you come to register

These penalties are CUMULATIVE.  You may fill out a petition request form to have the penalty waived if you have a valid excuse.

  1. If you miss a test and your course’s testing period has NOT ended, come to the MTLC to reschedule.  If the testing period is over, see REPLACEMENT POLICY above.
  2. Arrive on time for your test.  Tardiness will cost you working time on the test.  Bring your ID and pencils with you.  Follow signs to the back hallway.  Staff will check your ID and give you a personalized test paper (which is your initial scratch paper), then direct you to your seat.
  3. Absolutely NO ELECTRONIC DEVICES may be active in the testing area.  All cell phones, texting devices, iPods, MP3 players, etc must be turned off and put away before you pick up your test paper.  Use of any electronic device during a test will be treated as academic misconduct. 
  4. Place all belongings on the floor.  Once you enter the testing area, all review material must be put away. As soon as you are seated, you may begin your exam.  The MTLC will give you additional scratch paper as needed; no other paper is allowed. When you are finished, staff will collect all papers. Warning: do NOT touch the browser’s BACK button, your test will close and you will have to start over.
  5. ONLY THE CALCULATOR ON THE COMPUTER MAY BE USED ON TESTS.  The only webpage that may be opened during a test is the testing page.  Opening any other website during testing will be treated as academic misconduct.
  6. An MTLC staff member must be present when your test is submitted for a grade: if it does not store correctly it is at risk for getting LOST.
  7. You will be allowed to review your test before you leave the lab.  You may not write down any information pertaining to test questions to take with you when you leave the MTLC after an exam.  You may not share any test information with anyone who hasn’t taken the test.  Violators will be charged with academic misconduct.
  8. During test weeks, the MTLC will be available for studying, reviewing, and or working assignments during normal hours on Sunday, only between 8:15pm and 10pm Monday-Wednesday, not at all on Thursday, and during normal hours on Friday.  The lab will be closed for testing only for the final exam.
  9. No one may leave during a test without permission.  This includes getting water and using the restroom. 

The time for deadlines is 8:00 am!

 

Test 1 Material: Test 1 – September 21 (Wednesday ONLY!)

Date

Section

Topics

Completion Deadline

8/25

5.1

Orientation; Angles and Radian Measure

Hmw 5.1+Quiz 5.1 Tue. 8/30-8am

8/30

5.2

Right Triangle Trigonometry

Hmw 5.2+Quiz 5.2Thur. 9/1-8am

9/1

5.3

Trigonometric Functions of Any Angle

Hmw 5.3.1+5.3.2+Quiz 5.3 Tue. 9/6-8am

9/6

5.4

Trig Functions of Real Numbers; Periodic Functions

Hmw 5.4+Quiz 5.4 Thur. 9/8-8am

 

 

Syllabus QuizMust be taken in the MTLC

Thur. 9/8-8am

9/8

5.5

Graphs of Sine and Cosine Functions

Hmw 5.5+Quiz 5.5 Tue. 9/13-8am

9/13

5.6

Graphs of Other Trigonometric Functions

Hmw 5.6.1+5.6.2+Quiz 5.6 Thur. 9/15-8am

 

 

Test Rules Quiz

Thur. 9/15-8am

9/15

5.7

Inverse Trigonometric Functions

Hmw 5.7.1+5.7.2+Quiz 5.7 Tue. 9/20-8am

9/20

 

Review

 
 
 

Test 2 Material: Test 2 – October 12 (Wednesday ONLY!)

Date

Section

Topics

Completion Deadline

9/22

5.8

Applications of Trigonometric Functions

Hmw 5.8+Quiz 5.8 Tue. 9/27-8am

9/27

6.1

Verifying Trigonometric Identities

Hmw 6.1+Quiz 6.1 Thur. 9/29-8am

9/29

6.2

Sum and Difference Formulas

Hmw 6.2.1+6.2.2+Quiz 6.2 Tue. 10/4-8am

10/4

6.3

Double-Angle and Half –Angle Formulas

Hmw 6.3.1+6.3.2+Quiz 6.3  Thur.10/6-8am

10/6

6.5

Trigonometric Equations

Hmw 6.5.1+6.5.2+Quiz 6.5 Tue. 10/11-8am

10/11

 

Review

 
 
 

Test 3 Material: Test 3 – November 2 (Wednesday ONLY!)

Date

Section

Topics

Completion Deadline

10/13

7.1

The Law of Sines

Hmw 7.1.1+7.1.2+Quiz 7.1 Tue.10/18-8am

10/18

7.2

The Law of Cosines

Hmw 7.2+Quiz 7.2 Thur. 10/20-8am

10/20

7.3

Polar Coordinates

Hmw 7.3+Quiz 7.3 Tue. 10/25-8am

7.4

Graphs of Polar Equations

Hmw 7.4+Quiz 7.4 Tue.10/25-8am

10/25

    7.5

Complex Numbers in Polar Form; DeMoivre's Theorem

Hmw 7.5.1+7.5.2+Quiz 7.5 Tue.11/1-8am

11/1

 

Review

 
 
 

Test 4 Material: Test 4 – November 30 (Wednesday ONLY!)

Date

Section

Topics

Completion Deadline

11/3

7.6

Vectors

Hmw 7.6.1+7.6.2+Quiz 7.6 Tue.11/8-8am

11/8

7.7

The Dot Product

Hmw 7.7+Quiz 7.7 Thur.11/10-8am

11/10

10.1

The Ellipse

Hmw 10.1+Quiz 10.1 Tue.11/15-8am

11/15

10.2

The Hyperbola

Hmw 10.2+Quiz 10.2 Thur.11/17-8am

11/17

10.3

The Parabola

Hmw 10.3+Quiz 10.3 Tue.11/22-8am 

11/22

11.1

Sequences and Summation Notation

Hmw 11.1+Quiz 11.1 Tue.11/29-8am

11.2

Arithmetic Sequences

Hmw 11.2+Quiz 11.2 Tue.11/29-8am 

11/29

 

Review

 
 
 

Final Exam: December 11-19

Date

Section

Topics

Completion Deadline

12/1

11.3

Geometric Sequences and Series

Hmw 11.3+Quiz 11.3 Tue.12/6-8am

12/6&12/8

 

Review

 
 

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Grading Policy

COURSE GRADES:  This course is under the “A, B, C, and NC” policy, +/- grades will be given.  The course grade is determined by points earned as follows:                                 

                                                                                                                                               

   4 Tests                   400 points (100 points each)                          COURSE GRADE SCALE

   Final Exam            300 points                                               A+    980 – 1000.5,  A   920 – 979,     A-  900 - 919

   Quizzes                  160 points                                               B+    880 – 899,      B    820 – 879,     B-  800 - 819

   Homework             100 points                                               C+    780 – 799,     C    720 – 779,    C-  700 - 719

   Class Participation    40.5 points (1.5 point each class)           NC – Below 700            NC means NO CREDIT    

   Total                    1000.5 points                            Survey 2 bonus points           

 

Students must earn a minimum of 700 points (C-) to successfully pass this course.

 

Policy on Missed Exams & Coursework

MAKE-UP POLICY:  If homework or quizzes are missed due to a serious, verifiable circumstance, then make-up work may be allowed. Any student requesting to make up work must fill out a petition request form in 345 Gordon Palmer with an excuse and supporting documents attached as soon as possible.  If a test is missed due to a serious, verifiable circumstance, the zero test grade will be replaced with the final exam grade.  Students who must miss work or tests due to official University business must make arrangements for make-up work beforehand

 

REPLACEMENT POLICY: Students with two or fewer unexcused absences will be allowed to replace the lowest test grade with the grade made on the final exam. However, zeros due to an unexcused absence or academic misconduct will not be replaced.  Students who miss a test and have an excuse can have the missed test replaced if a petition request form is filled as soon as possible, and if the request is approved.

 

Attendance Policy

 

Attendance: Attendance for this course is mandatory.  You are expected to attend all of your scheduled classes. Class meets each Tuesday, Thursday unless noted.  Each class counts 1.5 points toward your class participation grade.  Each class will consist of a lecture for the material assigned. The MTLC (computer lab) in B1 Tutwiler is available for you to do homework and quizzes. 

MTLC RULES

  1. The MTLC is a math classroom. Please be quiet during your visit to the MTLC.
  2. Cell phones, food, drinks (including water), tobacco products, and companions are NOT allowed in the Center. A cell phone  violation will cause your cell phone to be detained until you leave the MTLC.   Your cell phone needs to be out of sight and turned off.
  3. Other than mathematics, no activities such as talking, surfing the Internet, playing computer games, typing a paper, sleeping, etc. are allowed in the MTLC.  If these activities are observed, you will be asked to leave the MTLC.
  4. The use of a computer in the MTLC is on a first-come first-serve basis; no reservation can be made for normal course work.
  5. Take notes. 
  6. Please do not hesitate to ask questions in the MTLC.  Staff members in the MTLC are there to help you.
 
 

Required Texts

UA Supply Store Textbook Information

  • NONE / MY MATHLAB STAND ALONE CODE (SPRING/SUMMER/FALL 11/12)
    (Choose One)
  • BLITZER / ALGEBRA & TRIG w/MLP (SPRING/SUMMER/FALL 11/12)
    (Choose One)

Other Important Information

TEST DEADLINES:                                                                                     REGISTRATION WEEK

 

Test 1               Wednesday                  September 21                             8am Friday 9/9 – 5pm Friday 9/16

Test 2               Wednesday                  October 12                                  8am Friday 10/30 – 5pm Friday 10/7

Test 3               Wednesday                  November 2                                8am Friday 10/21 – 5pm Friday 10/28

Test 4               Wednesday                  November 30                              8am Friday 11/18 – 5pm Friday 11/25

Final Exam      Sunday-Friday             December 11-16                         8am Friday 12/2 – 5pm Friday 12/9

Test times available:  Times to be announced in class and through e-mail.

Final Exam times available: 8 am, 11:30 am, 3:30 pm, 7 pm   (all times may not be available each day)

Please read Test Rules of this syllabus for detailed information.

Note:  The last day to drop this course is November 2, 2011.  No withdrawals from this course after this date.

 

MTLC INFO:     LOCATION: B1 Tutwiler        PHONE:  348-2592                               WEBSITE:  www.mtlc.ua.edu

 

     HOURS: Sunday:  4pm – 10pm                          CLOSINGS:  Labor Day Holiday: Sun. 9/4 & Mon. 9/5

                     Monday – Thursday:   8am – 10pm                        Fall Break: Thurs.10/27 – 4 pm Sun. 10/30

                     Friday:  8am – 4:45pm                                           Thanksgiving 5pm Tue. 11/22  – 4pm Sun. 11/27

                                                      NOTE:  Last day for help in MTLC is Sunday 12/11 (4-6:30pm)

 

MATH SOFTWARE LOGIN INFORMATION:  (The MTLC sets up the login information for each student.  If you cannot login with this following information, then please come to the MTLC for assistance.)  

              Website:  http://ua.mylabsplus.com

             Your username:  your crimson email address          example:  jksmith@crimson.ua.edu

             Your password:  your CWID                                    example:  12345678

NOTE:  You will find your current course under the Alabama Fall 2011 Term

WORKING FROM HOME: The Math 113 course work can be done on your personal computer. Internet access is required in order to reach the website where the notes, homework, and exercises are found. The website is http://ua.mylabsplus.com. If this page ever fails to load, try typing the website rather than choosing it from the dropdown menu. There are plugins to be downloaded in order for successful operation from home.  To get these, you will login to the website with your own personal login and password as given by the MTLC.  Next, click on your course section.  Select the MyMathLab Browser Check from the link that appears on the screen. Then follow the instructions on the screen. Students doing graded work from home risk grades not being properly saved.  If scores are not successfully sent from home and the deadline passes, you will NOT be able to make up the work.  Tests must be taken in the MTLC.

 

EARLY COURSE COMPLETION:  You are encouraged to work ahead of the syllabus deadlines, and to take tests and the final exam early. Once you have taken the final exam, you do not need to continue coming to class.  All remaining attendance requirements are automatically counted for full credit.

 
 
 
 
 
 

Policy on Academic Misconduct

All students in attendance at the University of Alabama are expected to be honorable and to observe standards of conduct appropriate to a community of scholars. The University expects from its students a higher standard of conduct than the minimum required to avoid discipline. Academic misconduct includes all acts of dishonesty in any academically related matter and any knowing or intentional help or attempt to help, or conspiracy to help, another student.

The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.

Disability Statement

If you are registered with the Office of Disability Services, please make an appointment with me as soon as possible to discuss any course accommodations that may be necessary. If you have a disability, but have not contacted the Office of Disability Services, please call 348-4285 or visit 133-B Martha Parham Hall East to register for services. Students who may need course adaptations because of a disability are welcome to make an appointment to see me during office hours. Students with disabilities must be registered with the Office of Disability Services, 133-B Martha Parham Hall East, before receiving academic adjustments.

Severe Weather Protocol

In the case of a tornado warning (tornado has been sighted or detected by radar, sirens activated), all university activities are automatically suspended, including all classes and laboratories. If you are in a building, please move immediately to the lowest level and toward the center of the building away from windows (interior classrooms, offices, or corridors) and remain there until the tornado warning has expired. Classes in session when the tornado warning is issued can resume immediately after the warning has expired at the discretion of the instructor. Classes that have not yet begun will resume 30 minutes after the tornado warning has expired provided at least half of the class period remains.

UA is a residential campus with many students living on or near campus. In general classes will remain in session until the National Weather Service issues safety warnings for the city of Tuscaloosa. Clearly, some students and faculty commute from adjacent counties. These counties may experience weather related problems not encountered in Tuscaloosa. Individuals should follow the advice of the National Weather Service for that area taking the necessary precautions to ensure personal safety. Whenever the National Weather Service and the Emergency Management Agency issue a warning, people in the path of the storm (tornado or severe thunderstorm) should take immediate life saving actions.

When West Alabama is under a severe weather advisory, conditions can change rapidly. It is imperative to get to where you can receive information from the National Weather Service and to follow the instructions provided. Personal safety should dictate the actions that faculty, staff and students take. The Office of Public Relations will disseminate the latest information regarding conditions on campus in the following ways:

  • Weather advisory posted on the UA homepage
  • Weather advisory sent out through Connect-ED--faculty, staff and students (sign up at myBama)
  • Weather advisory broadcast over WVUA at 90.7 FM
  • Weather advisory broadcast over Alabama Public Radio (WUAL) at 91.5 FM
  • Weather advisories are broadcast via WUOA/WVUA-TV, which can be viewed across Central Alabama. Also, visit wvuatv.com for up-to-the-minute weather information. A mobile Web site is also available for your convenience.