MAT 104

Trigonometry

Spring 2004

 

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

 

Office Hours: Room A210, Mon.   10:30 - 11:30 AM

                                              Tues.  3:30 - 4:30 PM

          Thurs. 12:00 – 1:00 PM

GMC G4, Mon. & Wed. 9:30 - 10:30 AM

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 covers trigonometric functions of real numbers and angles, their graphs and properties, functions of multiple angles, identities, reduction formulas, radian measure, inverse functions, solutions of triangles, polar coordinates, parametric equations, and complex numbers.

 

Prerequisite: Mat 103A with a “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.

 

Course Objectives:

The successful student will:

1)      exhibit a proficiency in the topics covered in the course;

2)      engage in logical and critical thinking;

3)      read technical information; and

4)      demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate math statements, and checking and verifying results.

 


 

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:                              150 points            Average of HW Scores X 15

Quizzes:                                 150 points            Average of Quiz Scores X 7.5

Exam1 (April 22)

Exam2 (May 13):                  450 points            Average of Exam Scores X 4.5

Exam3 (June 3)

Final Exam (June 22):                    250 points

 

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

 

http://www.gradesource.com/reports/1027/5406/index.html

 

Homework: Homework will be due the class period after it is assigned.  Homework assignments 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, the 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.

 

Registration Information: You must register for this class at the Office of Admissions and Records.  You may drop the class with no penalty or mark on your record on or before April 30.  After April 30, you may drop the class and receive a grade of W until June 4.  After June 4, 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 GMC.

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

 


 

Learning Disabled Students: It is important that students who are identified as being learning disabled speak to me about their special needs.  I am more than willing to grant you reasonable accommodations.

 

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 for the first offense and a course grade of F for the second offense.  Students my 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

6          5.1                               Angles and their Measurements

8          5.2                               The Trigonometric Functions

13        5.3                               Properties of the Trigonometric Functions

15        5.4,5.5, Quiz I              Graphs of the Trigonometric Functions

20        5.6                               Phase Shifts and Curve Fitting

22        Exam I

27        6.1,6.2                         The Inverse Trigonometric Functions

29        6.3, Quiz II             Trigonometric Identities

 

May

4          6.4                               Sum and Difference Identities

6          6.5,6.6, Quiz III            Double-Angle, Half-Angle, and other Identities

11        6.7                               Trigonometric Equations

13        Exam II                     

18        6.8                               More Trigonometric Equations

20        7.1, Quiz IV                        Solving Right Triangles

25        7.2                               Law of Sines

27        7.3,7.4, Quiz V Law of Cosines and Areas of Triangles

 

June

1          8.1,8.2                         Polar Coordinates, Equations, and Graphs

3          Exam III                    

8          8.3                               Trigonometric Form of Complex Numbers

10                8.4, Quiz VI                     Vectors

15        8.5                               The Dot Product

17            9.7,Quiz VII                Parametric Equations

22        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

4,5,8,9,15-18,26-29,54,55,72,73,79-81,86,92,97,101,104

5.2

24,25,27,28,32,33,37,38,47-50,61-68,74,81,86,87,104,107,110,113

5.3

28,31,34,35,43,44,72-75,91-102,105-108,110

5.4

1,2,7-12,31-36,40-43,69-74,82,85

5.5

1-14,35

5.6

4-7,13-16,18,21,23,28

6.1

17,20,21,24,27-29,35-38,42,43,46,49

6.2

5-8,13-16,32,33,35,52

6.3

8,11,17,25,30,40,51,58,63,74,81,84

6.4

16,18,19,22,39,42,48,53,72,73,82,85

6.5

30,33,38,39,46,47,55,62,67,70,78

6.6

7,10,12,17,21,25,30,36,39

6.7

11,16,24,25,31,34,44,47

6.8

7,15,20,24,27,37,50,55,57,62

7.1

5-8,28-31,44,51,57,58,63,64

7.2

7-10,22-25,,31,34,37,40,43,46

7.3

1,2,7-9,22,25,28,31,33,36

7.4

3-5,12,20,21,27,30,40,41

8.1

1-8,22-25,33-36,49-52,59-62,66-69

8.2

2,3,5,6,11-14,17-24,49,59-62

8.3

5-8,17-20,25-28,37-40,45,46

8.4

9-16,20-23,28-31,34,35,37,47,48,56,61

8.5

3-6,11,12,20,27,31,38

9.7

1,4,7,10,17,20,24,25,50,55