Math 104  -  Trigonometry

 

Monday and Wednesday,  6:00 to 7:50 pm

Room E 106

4 UNITS

Class Begins:                         4-4-2005  Monday

Class Ends:                6-20-2005  Monday – Final Exam

Instructor:                  Richard Lund

Phone Number:            621-1904   (Placerville, preferred)

                                    541-5952   (Tahoe, when here)   Both numbers have machines for messages.

e-mail:                         mailto:rwlund@earthlink.netrwlund@earthlink.nett

LTCC home page:            http://www.ltcc.edu/programs/math

Required Text:  Precalculus, Sullivan and Sullivan, Third Edition, 2003

Check out the Solutions manual for this course before purchasing it to see if the book meets your needs.  

Course Description:

            This course 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.

 

Course Objectives
Students will be able to:
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.

 

Prerequisite:

            A grade of C or better in Math 103A or Math 154; or appropriate skills demonstrated through the Math assessment process.  Co-requisite: Math 103 B or equivalent, or appropriate skills demonstrated through the math assessment process.

Grading Policy:

            Your letter grade will be based on your “grade%” according to the formula below.

            A    90 to 100%

            B    80 to 89%

            C    70 to 79%

            D    60 to 69%

            Homework                     5 points

            Midterm 1                  10 points

            Midterm 2                  10 points

            Quizzes                          5 points

            Final Exam                20 points

 

Then your grade is determined on the basis of the above weightings in the formula:

            Grade % =  20*Fnl + 10*(Mid1 + Mid2) + 5*(Qz + HW)

                                                     50

            Quizzes will be given at random intervals during the quarter to assess your progress.

 

Exam Policy:

            Students are to bring calculators, pencils or pens and paper to each exam.

            Two pages (standard sized) front and back sheet may be used during each midterm, and a three page sheet may be used during the final exam.  Anything ok on these sheets.

            Grading will be based on progress towards the final answer, and the demonstration of understanding of the concept that is being tested.  Therefore, work must be shown in detail.  Remember, my job is to communicate to you the concepts so that you can learn them.  Your job in class or during an exam is to communicate to me how you would go about solving the problems.  The more you communicate, that is, show me with steps and detail, the better your chances for partial credit.  A simple answer, with no detail whatever, does not help me at all!  You give me the communication and detail in your answers; and I will give you the best grade I can based on your communication and answer.

            Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled.

 

Homework Policy:

            Homework is for Your benefit.  Homework is to be turned in at the end of each class on the date due.  Homework may be turned in late, but may be marked down.

            If a student has additional questions that student may see me after class and then turn in the homework.

 

Extra Credit:

            Any student who has turned in every homework assignment may elect to work on an extra credit assignment or project that will count as additional points towards either a midterm or the final.

 

Registration:

            1. You must register for this class at the Office of Admissions and Records.

            2. Friday, April 29; Last day to drop the class with no penalty or mark on your record.

            3. Friday, June 3: Last day to drop the class and receive a grade of "W".

            4. After June 3, if you are enrolled, you will receive an A, B, C, D, F, or I (Incomplete, must be negotiated with the instructor and is only allowed under special circumstances).

 

 

            In this class, it is your responsibility to drop the class in order to avoid an unwanted grade.  You must go to the registrar by the above dates to avoid the unwanted grade.

 

Office Hours:

            I have no office here at the college.  However, I am almost always available in the "cafeteria" an hour or so before class; or you may call, email or see me before or after class to arrange to get together.

 

Calculators:

            A graphing calculator is required for this class.  There are a variety of such calculators on the market.  The instructor will be using a Texas Instruments 89 (TI-89).  Calculators will be allowed on the exams.  The reason for this “allowance” is simple: you earn credit for your answers by showing your work – NOT by the answer you give.  So a calculator becomes a valuable “tool” for you to check your answers, not to obtain your answers.

 

Homework Assignments

            Lecture will always be geared towards an explanation of the topics that will be covered on the homework assignment.

            Homework assignments are on the spreadsheet on the next page.

 

 

 

How to Succeed in a Math Class

 

            1.  Come to every class meeting.

 

2.  Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have your materials ready when class starts.

 

            3.  Read each section before it is discussed in class.

 

            4.  Do ALL of the homework.  Do some math every day.

 

            5.  Start preparing for the tests at least a week in advance.

 

            6.  Spend about half of your study time working with your classmates.

 

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

 

            8.  Do not do homework in class.

 



 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Math 104    Trigonometry       Spring 2005

 

 

 

 

 

 

 

 

 

 

 

 

 

Date

 

Sect.

 

Class Discussion

 

Homework Due on This Date

 

Mon

April

4

5.1

 

Angles & Their measurement

 

 

 

 

 

 

5.2

 

Trig Functions: Unit circle approach

 

 

 

Wed

April

6

5.3

 

Properties of Trig Functions

5.1

3, 5, 7, 11, 15, 27, 41, 49, 59, 65, 71, 77, 89, 93, 102

 

 

 

 

 

 

 

5.2

3, 7, 11, 17, 19, 23, 33, 43, 68, 81, 89, 95, 107, 113

 

Mon

April

11

5.4

 

Graphs of Sin & Cos Functions

5.3

3, 7, 15, 19, 25, 29, 33, 51, 67, 77, 107, 109, 113

 

 

 

 

5.5

 

Graphs of Tan, Cot, Csc & Sec

 

 

 

Wed

April

13

5.6

 

Phase shifts: Sin & Cos curve fitting

5.4

13, 17, 21, 25, 31, 37, 39, 41, 51, 55, 67, 71, 81, 83

 

 

 

 

 

 

 

5.5

11, 15, 17, 19, 29, 31, 35

 

Mon

April

18

6.1

 

Inverse Sin, Cos & Tan

5.6

1, 5, 7, 9, 11, 13, 15, 17, 19, 25

 

Wed

April

20

 

 

First Midterm

Chapter 5

 

 

Mon

April

24

6.2

 

Inverse Trig Functs continued

6.1

1, 3, 5, 7, 11, 13, 19, 25, 27, 33, 45, 47, 51

 

Wed

April

27

6.3

 

Trig Identities

6.2

1, 5, 9, 13, 17, 19, 21, 25, 31, 35, 37, 41, 45

 

Mon

May

2

6.4

 

Sum & Difference Formulas

6.3

1, 3, 5, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 85

 

Wed

May

4

6.5

 

Double and Half Angle Formulas

6.4

1, 3, 11, 17, 25, 31, 39, 43, 45, 53, 59, 67, 69, 73, 81, 87

 

Mon

May

9

6.6

 

Product to Sum and Sum to Product Formulas

6.5

1, 3, 9, 13, 15, 23, 27, 33, 39, 45, 47, 51, 57, 63, 69, 77

 

Wed

May

11

6.7

 

Trig Equations I

6.6

1, 3, 7, 9, 13, 17, 21, 25, 29, 33, 35, 39

 

Mon

May

16

6.8

 

Trig Equations II

6.7

1, 3, 5, 9, 15, 19, 25, 29, 35, 39, 43, 45, 49,

 

Wed

May

18

 

 

Second Midterm

Chapter 6

 

 

Mon

May

23

7.1

 

Trig for Right Triangles

6.8

1, 3, 5, 9, 15, 25, 29, 33, 39, 43, 47, 51, 55, 59, 61

 

 

 

 

7.2

 

Law of Sines

 

 

 

Wed

May

25

7.3

 

Law of Cosines

7.1

1, 9, 11, 15, 21, 25, 29, 31, 33, 39, 41, 47, 51, 55, 59, 61, 69

 

 

 

 

7.4

 

Area of a Triangle

7.2

1, 3, 5, 7, 11, 13, 15, 17, 23, 25, 29, 31, 33, 37, 43, 45

 

Mon

May

30

 

 

Memorial Day --  No Class

 

 

 

Wed

June

1

8.1

 

Polar Coordinates

7.3

1, 5, 9, 13, 17, 19, 21, 25, 27, 31, 35, 37, 39

 

 

 

 

8.2

 

Polar Equations and Graphs

7.4

1, 3, 5, 7, 11, 15, 19, 25, 29, 31, 35, 39, 41, 45

 

Mon

June

6

8.3

 

The Complex plane; DeMoivre's Thm

8.1

1, 3, 9, 13, 17, 21, 27, 29, 33, 39, 41, 45, 49, 51, 57, 65, 71

 

 

 

 

8.4

 

Vectors

8.2

1, 3, 7, 9, 11, 15, 21, 23, 29, 31, 37, 39, 43, 47, 51, 55, 59, 61, 69

 

Wed

June

8

8.5

 

The Dot Product

8.3

1, 3, 5, 9, 13, 15, 23, 25, 29, 31, 39, 43, 47, 51, 53

 

 

 

 

 

 

 

8.4

1, 3, 5, 9, 15, 21, 25, 27, 29, 33, 39, 43, 47, 51, 55, 59, 61, 63

 

Mon

June

13

9.7

 

Plane Curves and Parametric Eqns

8.5

1, 5, 9, 13, 17, 19, 21, 25, 29, 31, 35, 37, 41

 

Wed

June

15

 

 

Review  and / or makeup

9.7

1, 3, 5, 9, 13, 15, 23, 25, 27, 29, 31, 39, 43, 47, 51, 55

 

Mon

June

20

 

 

Final Exam

All Material

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Optional  (If we have time)

 

 

 

 

 

 

7.5

 

Simple Harmonic Motion; Damped Motion

7.5

1, 3, 5, 9, 11, 15, 17, 25, 29, 31, 35, 39, 41

 

 

 

 

8.6

 

Vectors in Space

8.6

 

 

 

 

 

8.7

 

The Cross Product

 

 

 

 

 

 

9.6

 

Polar Equations of Conics