MAT 104 – Trigonometry

Spring 2008

 

Course ID

Room

Unit

Days

Start Time

End Time

MAT 104

E106

4

M, W

1:30 PM

3:20 PM

 

 

INSTRUCTOR:                     Helen Shen

 

PHONE:                                  530-541-4660, Extension 364

 

E-MAIL:                                 shen@ltcc.edu

 

OFFICE HOURS:                  Mon. & Wed.  12:00 - 1:00 PM, 3:30 - 4:00 PM

                                                Tue. & Thurs.   12:00 - 1:00 PM                     

 

LTCC MATH PAGE:            http://www.ltcc.edu/academics.asp?scatID=5&catID=34

 

REQUIRED TEXT:               Precalculus, 4th Edition, Sullivan & Sullivan III. Check out the Solutions Manual for this course before purchasing it to see if the book meets your needs.

 

COUSE 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 Texas Instrument-89. I will do my best to assist with other models.

 

STUDENT OUTCOMES:     The successful student will:

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.

 

GRADING POLICY:           Method of Student Evaluation

                                                Homework (24 sections at 5 points each)                      120 points

                                                Quizzes* (Three at 40 points each)                               120 points

                                                Exams* (Three at 120 points each)                               360 points

                                                Final (Covers entire course content)                              200 points                               

 

Your letter grade will be based on your percentage of the 800 possible points.

                                                            A         90-100%        

                                                            B          80-89%          

                                                            C         70-79%                                  

                                                            D         60-69%

                                                            F          less than 60%

                                         

EXAM POLICY:                    Grading will be based on progress towards the final answer, and the demonstration of understanding of the concept that is being tested. The more you show me with steps and detail, the better your chances for partial credit.  You provide me the communication and detail in your answers; and I will give you the best grade I can based on that communication and answer.

 

MAKE-UP POLICY:             For Quizzes, there is no make-up, however if the absence is excused, you will receive the same percentage grade on the quiz as you earn on the exam, which covers the same material. 

For Exams and Final, make-up is possible, but there is a 10% penalty if the absence is not excused.  The absence is excused for medical reasons or emergencies.

For Homework, you must show your work to get credit, half credit for completion and half credit for selected problems. Homework will be accepted late up to one week after it is assigned for half credit. You can turn in your homework early if you know you are going to miss the class. You can consult a classmate, a tutor, your instructor, or anyone for assistance on the homework.

·        Please come see me if you do not understand my policies.

·        Due to English is my secondary language, please be sure to ask me if you have any difficulty to understand math due to my accent, and I will clarify.

LEARNING                           If you have a learning disability, be sure to discuss your special needs with me

DISABILITIES:                    during the first week of class. Learning disabilities will be accommodated.

 

REGISTRATION:                ·   You must register for this class at the Office of Admissions and Records.

                                                ·    Friday, May 2; Last day to drop the class with no penalty or mark on your

    record.

                                                ·    Friday, May 23; Last day to drop the class and receive a grade of W.

·    After May 23, if you are enrolled, you will receive some kind of grade.

·    In this class, it is your responsibility to drop the class in order to avoid a grade.

 

TUTORING:                          Tutors are available at no cost in MSC (Math Success Center) on a drop-in basis, Mon-Sat:  M~Th, 9am-6pm; F, 10am-4pm; and Sat, 11am-4pm.

 

HOW TO SUCCEED            1) Come to every class meeting. Be prepared, and plan on participating.

IN A MATH CLASS:            2) Arrive early, get yourself settled and be ready when class starts.  Sit where you won't be distracted.

3) Read the book. It’s important to learn how to read the math textbook to enhance your understanding.

4) Do all of the homework. The homework assigned is a bare minimum; the more practice you do, the better understanding you will have.

5) Do some math every day.

6) Take advantage of tutors and office hours, extra help can make a big    difference.

7) Be willing to ask questions.

8) Take notes.

                                                9) Study in groups and find a study buddy.

 

 

Tentative Lecture Schedule for Math 104

 

 

Date

Section  

Topic  

Homework

 

M 4/7

 

 

5.1

 

Introductions, Discussion of Syllabus

Angles and their Measurements

 

 

14,15,18,19,26,27,33,34,37-40,48-51,88,89,

91,96,102,107,111,114

 

W 4/9

 

5.2

 

5.3

 

 

The Trigonometric Functions

 

Properties of the Trigonometric Functions

 

 

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

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

Turn in Homework #1 (Sections 5.1-5.2)

On Apr 14.

 

M 4/14

 

5.3

5.4

 

Continued

Graphs of the Sine and Cosine Functions

 

 

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

 

W 4/16

 

5.5

 

5.6

 

Graphs of the Tangent, Cotangent, Cosecant and Secant Functions

Phase Shifts and Curve Fitting

 

7-20,45

 

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

Turn in Homework #2 (Sections 5.3-5.6) on Apr 21.

 

M 4/21

 

 

 

6.1

 

Quiz #1 (Sections 5.1–5.6)

 

The Inverse Trigonometric Functions

 

 

 

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

 

W 4/23

 

6.2

 

The Inverse Trigonometric Functions

Review for Exam #1  

 

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

Turn in Homework #3 (Sections 6.1-6.2) on Apr 28.

 

M 4/28

 

 

 

Exam #1 (Sections 5.1-5.6 & 6.1-6.2)

 

 

 

W 4/30

 

6.3

6.4

 

 

Trigonometric Identities

Sum and Difference Identities

 

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

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

Turn in Homework #4 (Sections 6.3-6.4) on May 5.


 

 

M 5/5

 

6.5

6.6

 

Double-Angle and Half-Angle Formulas

Product-to-Sum and Sum-to-Product Formulas

 

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

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


 

 

 

W 5/7

 

6.7

6.8

 

Trigonometric Equations

More Trigonometric Equations

 

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

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

Turn in Homework #5 (Sections 6.5-6.8) on May 12.

 

M 5/12

 

 

 

7.1

 

Quiz #2 (Sections 6.3-6.8)

 

Solving Right Triangles

 

 

 

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

 

W 5/14

 

7.2

7.3

 

Law of Sines

Law of Cosines

 

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

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

Turn in Homework #6 (Sections 7.1-7.3) on May 19.

 

M 5/19

 

7.4

 

 

Areas of Triangles

Review

 

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

Turn in Homework #7 (Sections 7.4) on May 20.

 

W 5/21

 

 

 

Exam #2 (Sections 6.3-6.8 & 7.1-7.4)

 

 

 

M 5/26

 

 

 

Memorial Day Holiday

 

 

 

W 5/28

 

 

8.1

8.2

 

Polar Coordinates

Polar Equations and Graphs

 

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

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

Turn in Homework #8 (Section 8.1-8.2) on Jun 2.

 

M 6/2

 

8.3

8.4

 

Trigonometric Form of Complex Numbers

Vectors

 

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

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

 

W 6/4

 

8.4

8.5

 

Continued

The Dot Product

 

 

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

Turn in Homework #9 (Section 8.3-8.5) on Jun 0.

 

M 6/9

 

 

 

9.7

 

 

 

Quiz #3 (Sections 8.1-8.5)

 

Parametric Equations

 

 

 

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

Turn in Homework #10 (Section 9.7) on Jun 11.

 

W 6/11

 

 

 

Review for Exam #3

 

 

M 6/16

 

 

 

Exam #3 (Sections 8.1-8.5 & 9.7)

 

 

 

W 6/18

 

 

 

Review for Final Exam

 

 

W 6/25

 

 

Cumulative Final Exam