MAT 104

Trigonometry

Summer 2009

 

Instructor: Wynn Walker, email: wlwalker326@gmail.com

Office Hours: I will be available from 1:30 – 2:00 PM, Monday and Tuesday.

 

Class Time and Location: Mon. - Thurs. 8:00 -9:50 AM, E106

 

Textbook: Precalculus, Michael Sullivan and Michael Sullivan, III

 

View Your Grades:  http://www.gradesource.com/reports/3225/16403/

 

Calculators: A graphing calculator is required for this class.  I will be demonstrating with the Texas Instruments-89. 

 

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.

 

Course Objectives:

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:                              300 points

Quizzes:                                 200 points

Exam1 (July 9):                       150 points

Exam2 (July 28):                     150 points

Final Exam (August 6):           200points

 

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

 

http://www.gradesource.com 

 


Homework: Homework will be due the class period after it is assigned.  Homework not turned in at this time will be considered late. You may turn in homework up to two class days after it is assigned for half credit. 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 five quizzes given over the quarter (July 2, 7, 16, 22, and August 3).  Your lowest quiz score will be dropped.  These quizzes will be designed to help prepare you for the exams, and quiz problems will be taken directly from the homework assignments.  Since the lowest quiz score is dropped, you may not make up a missed quiz.

 

Exams: All exams will be given in two sections: one portion will allow calculators while the other will not.  Exams may not be made up except in the case of a serious emergency. In this case, the exam not taken will not be counted. It is mandatory to take the final at the scheduled time on August 6th.

 

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 July 10.  After July 10, you may drop the class and receive a grade of W until July 20.  After July 20, if you are 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.  This is your chance to practice your skills, so be sure to take advantage of it.

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

IV) Make use of available tutors and stop by my office.  You will find tutors who know the subject matter in this course in the MSC from 9:30 – 1:00 Mon. -Thurs.

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

 

Note: Since the summer quarter is compressed and highly accelerated, you MUST keep up with the class.  If you do not work on math everyday, you will fall behind.  You will find that you may need to spend up to four hours outside of class each day to master the material.  I strongly encourage you to make use of the tutoring center and come by my office to make sure that you are on top of the material. 

 

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 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.  I will let you know if we stray from this path.

 

June

29        5.1                               Angles and their Measurements

30        5.2                               The Trigonometric Functions            

 

July

1          5.3                               Properties of the Trigonometric Functions

2          5.4,5.5 Quiz I              Graphs of the Trigonometric Functions

6          5.6                               Phase Shifts and Curve Fitting

7          6.1,6.2, Quiz II            The Inverse Trigonometric Functions

8          6.3                               Trigonometric Identities

9          Exam I            

13        6.4                               Sum and Difference Identities

14        6.5                               Double-Angle and Half-Angle Identities

15        6.6                               Product-to-Sum and Sum-to-Product Identities

16        6.7, Quiz III                 Trigonometric Equations

20        6.8                               More Trigonometric Equations                                  

21        7.1                               Solving Right Triangles

22        7.2, Quiz IV                 Law of Sines

23        7.3,7.4                         Law of Cosines and Areas of Triangles

27        8.1,8.2                         Polar Coordinates, Equations, and Graphs

28        Exam II                       

29        8.3                               Trigonometric Form of Complex Numbers

30        8.4                               Vectors

 

August

3          8.5, Quiz V                  The Dot Product

4          9.7                               Parametric Equations

5          Review

6          Final Exam                

 

 

Tentative Quiz and Exam Content:

 

Quiz I:              5.1,5.2                         Exam I:            5.1-6.2

Quiz II:             5.3-5.5                         Exam II:           6.3-7.4

Quiz III:            6.3-6.5                         Final:               Cumulative

Quiz IV:           6.6-6.8

Quiz V:            8.1-8.3

 

 


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