MAT 104

Trigonometry

Spring 2009

 

Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu

 

Office Hours: Room A210,   Mon.                12:30  – 1:30 PM

                                                Tues.               9:00  – 10:00 AM

Wed., Fri.        9:00 – 9:30 AM

MSC A201,      Wed.               1:00 – 2:00 PM

Thurs.              12:00 – 1:00 PM

And as always, by appointment.

 

Class Time and Location: Tues. & Thurs. 10:00 -11:50 AM, E106

 

Textbook: Precalculus, Michael Sullivan and Michael Sullivan, III

 

Course Description: MAT 104 is the study of trigonometric functions, their graphs and properties, functions of multiple angles, trigonometric identities, radian measure, inverse trigonometric functions, solutions of triangles, polar coordinates, parametric equations, and complex numbers.

 

Prerequisite: Mat 103A with a grade of “C” or better or equivalent or appropriate skills demonstrated through the math assessment process.

 

Corequisite: Mat 103B or equivalent or appropriate skills demonstrated through the math assessment process.  Prior completion of Mat 103B with a grade of “C” or better also satisfies this corequisite.

 

Calculators: A graphing calculator is required for this class.  I will be demonstrating with the Texas Instruments-89.  I will do my best to assist with other models, but I promise nothing.

 

Student Learning Outcomes:

By the end of the term, students shall be able to

1. Provide and analyze graphs of trigonometric functions.
2. Apply trigonometric techniques to solve problems in real world contexts.
3. Derive and prove trigonometric properties and identities.
4. Produce solutions to equations using skills developed in trigonometry

 

 


 

Course Grade: Your final letter grade will be based on the usual grading scale:

A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%

The following items will make up the course grade:

 

Homework:                              15%    

Quizzes:                                 15%    

Exam1 (April 23)

Exam2 (May 14):                     45%    

Exam3 (June 4)

Final Exam (June 23):             25%

 

You may check your grades at any point in the quarter by going to the following website:

 

http://www.gradesource.com/reports/1027/16045/index.html

 

Homework: Homework will be due by 2PM the class day after it is assigned.  Homework not turned in at this time will be considered late.  You may turn in homework up to one week after it is assigned for half credit.  If all homework is turned in, and no more than two are late, your lowest regular exam score will be dropped.  Your homework score will be determined in the following way: up to 5 points for completion and one point each for 5 problems chosen at random to be graded.

 

Quizzes: There will be seven quizzes given over the quarter.  These quizzes will be designed to help prepare you for the exams, and quiz problems will be taken directly from the homework assignments. Your lowest quiz score will be dropped.  Since your lowest score will be dropped, missed quizzes may not be made up.

 

Exams: All exams will be given in two sections: one portion will allow calculators while the other will not.  If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements.  Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day.  The final exam may not be taken after June 23rd.

 

Registration Information: You must register for this class through the LTCC web page using WebReg.  You may drop the class with no penalty or mark on your record on or before May 1.  After May 1, you may drop the class and receive a grade of W until May 22.  After May 22, if still enrolled, you will receive a grade of A, B, C, D, F or I.

 

How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:

 

I) Come to every class session.  Be prepared, and plan on participating.

II) Do your homework.  Remember that what I assign is what I consider a bare minimum.  If you need more practice, do it.  Don’t make me be a homework enforcer.

III) Read the book.  You paid good money for it, so you might as well use it.

IV) Make use of available tutors and my office hours.  You will find tutors who know the subject matter in this course at the MSC.

V) Do math every day.  Math is just like everything else: if you don’t practice, you become rusty.

 


 

Learning Disabled Students: Students with disabilities who may need accommodations for this class are encouraged to notify me and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible.  Students may contact the DRC by visiting the Center (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students).  All information will remain confidential.

 

Technology in the Classroom:  All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put away prior to the start of each class.  No electronic devices (other than calculators) may be used during quizzes and exams.

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment and all dropping of lowest exam or quiz scores will be forfeit.  Students may work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.

 

Course Schedule:

The following is a tentative schedule.  If things change (and I have money that says they will), I will let you know.

 

April

7          5.1                               Angles and their Measurements

9          5.2                               The Trigonometric Functions

14        5.3                               Properties of the Trigonometric Functions

16        5.4,5.5, Quiz I             Graphs of the Trigonometric Functions

21        5.6                               Phase Shifts and Curve Fitting

23        Exam I

28        6.1,6.2                         The Inverse Trigonometric Functions

30        6.3, Quiz II                  Trigonometric Identities

 

May

5          6.4                               Sum and Difference Identities

7          6.5,6.6, Quiz III           Double-Angle, Half-Angle, and other Identities

12        6.7                               Trigonometric Equations

14        Exam II                       

19        6.8                               More Trigonometric Equations

21        7.1, Quiz IV                 Solving Right Triangles

26        7.2                               Law of Sines

28        7.3,7.4, Quiz V            Law of Cosines and Areas of Triangles

 

June

2          8.1,8.2                         Polar Coordinates, Equations, and Graphs

4          Exam III                      

9          8.3                               Trigonometric Form of Complex Numbers

11        8.4, Quiz VI                 Vectors

16        8.5                               The Dot Product

18        9.7,Quiz VII                 Parametric Equations

23        Final Exam                 Note: The Final Exam is from 11:00 AM – 12:50 PM

 


 

The following is a list of all homework assignments for this course.  The due dates for the various sections will be given in class.

 

Section

Assignment

5.1

14,15,18,19,26,27,33,34,37-40,48-51,88,89,91,96,102,107,111,114

5.2

34,35,37,38,42,43,47,48,57-60,71-78,84,91,96,97,114,117,120,123

5.3

38,41,44,45,53,54,82-85,101-112,115-118,120

5.4

9,10,15-20,39-44,48-51,77-82,90,93

5.5

7-20,45

5.6

6-9,15-18,20,23,25,30

6.1

29,32,33,36,39-41,47-50,53,55,58,61

6.2

13-16,21-24,30-33,40,41,43,60

6.3

26,29,35,43,48,58,69,76,81,92,99,102

6.4

24,26,27,30,47,50,56,61,80,81,90,93

6.5

36,39,44,45,52,53,61,68,73,76,84

6.6

7,10,12,17,21,25,30,36

6.7

7,12,23,26,28,29,57,60,62,65

6.8

11,19,24,28,35,45,58,63,65,70

7.1

13-16,36-37,52,59,65,66,71,72

7.2

10,14-18,23,30-33,42,43,47,48,51,54

7.3

9,10,15-17,30,33,36,39,41,44

7.4

7-9,16,22,23,35,38,40,43

8.1

11-18,32-35,43-46,59-62,69-72,76-79

8.2

14,15,17,18,23-26,29-36,61,75-78

8.3

15-18,27-30,35-38,47-50,55,56

8.4

15-22,26-29,34-37,40,41,43,53,54,62,67

8.5

9-12,17,18,26,33,37,44

9.7

7,10,13,16,23,26,52,53,60,61