Trigonometry

QUINSIGAMOND COMMUNITY COLLEGE

Course: MAT 124 College Mathematics II: Trigonometry

Instructor: Maureen Woolhouse
                     Office - Room 257
                     Administration Building
                     1-508-854-2731
                     mwoolhouse@qcc.mass.edu

Course Description: The student will solve right triangles and oblique triangles and related word problems; perform vector computations and use vector concepts to solve word problems; determine the values of trigonometric ratios of angles and the values of inverse trigonometric ratios of real numbers; work with angles measured in degrees, minutes and seconds or radians; solve uniform circular motion problems; recite the traditional trigonometric identities and use them to prove other identities; sketch the graphs of variations of the six basic trigonometric functions; write equations to describe specific instances of harmonic motion; and solve
trigonometric equations.

Course Requirements: A scientific or graphing calculator is a requirement for this course. The instructor will use a TI-83 plus calculator for the purpose of illustrating concepts of the course and classroom demonstrations. Students may use other calculators but they cannot rely upon instructor assistance in their use since the TI-83 is the calculator with which the instructor is familiar.

Method of Instruction: The Instructor will present new material with extensive student interaction and participation. Cooperative learning techniques will be used as frequently as time permits.

Prerequisite: MAT 123: Precalculus

Text: Algebra & Trigonometry, 2nd edition
by Robert Blitzer
Prentice Hall Publishing Company, 2004

Algebra & Trigonometry [Click for larger image]

Attendance: Perfect attendance is possibly the simplest and most effective way for a student to maximize his or her academic performance. Attendance will be taken at the start of each class meeting.

Tardiness: Late attendance is a source of distraction to both the students and the instructor. Out of mutual courtesy and respect, please be in your seat and prepared to work at the start of our class time.

Grading Policy: During the course of the semester there will be:
                              4 - 5 one hour tests
                              6        ten minute quizzes
                              3 - 4   laboratories
                              1        comprehensive final exam

Exams: Four or five exams will be administered during the semester. Missing one of these tests is a SERIOUS matter. Four or five exams will be administered during the semester. Missing one of these tests is a SERIOUS matter. If a student finds it impossible to take a test due to circumstances beyond their control, they should contact the instructor immediately or at the very least, prior to the next class meeting. After this date, there will be no opportunity to make up an exam except through the presentation of a written doctor's certificate establishing a valid medical excuse.

Quizzes: Quizzes will be administered during the first ten minutes of class. If a student is late to class on a quiz day, they will have less than the full time to take the quiz. Quizzes are announced in advance. Quizzes will be administered during the first ten minutes of class. If a student is late to class on a quiz day, they will have less than the full time to take the quiz. Quizzes are announced in advance. THERE WILL BE ABSOLUTELY NO MAKE UP ON QUIZZES FOR ANY REASON. A student will receive a grade of zero on a quiz if they miss the quiz or if they leave class after taking the quiz. The five best quizzes out of the six administered will count for twenty points each and be combined to equal one test grade.

Homework: Students should prepare for their tests and quizzes by completing all homework assignments in a timely fashion. Homework should be kept in a separate section of the notebook from class notes. Periodically homework will be collected at random. Students will receive a grade of 0,1, or 2 on each assignment depending upon the completeness of the assignment. All work should be displayed for each example. Students should have their assignment notebooks with them at all class meetings. Homework assignments will count for one quiz grade which will not be dropped.

Final Exam: The final exam will be cumulative and count for two test grades in the computation of the final mark for the course.

Help!!!!

Get to know your classmates. Exchange telephone numbers.
Form study groups. This strategy has worked very well for
students who make the effort to try it.
Purchase a copy of the Student's Solution Manual which
accompanies our textbook. This manual has the worked-out
solutions to all odd numbered questions in the textbook. The Bookstore should have copies.
Check the hours and days the Math Lab is open and use
the free help this facility offers.
Meet with me for extra help during my office hours.

5. Check the Houghton Mifflin web site for interactive features specific to our textbook: www.college.hmco.com

Course Objectives:

1. Solve triangles and word problems involving triangles by employing knowledge of similar triangles, trigonometric ratios of right triangles, the law of sines and the law of cosines.

2. Perform computations with angles expressed in radian or degree-minute-second notation.

3. Given that f is a trigonometric function and is an angle:

a. Evaluate a given expression f.

b. Given f and the value of f, find all possible values of .

c. Given f and a real number, r, in the range of f, find arcf(r) and Arcf(r).

d. Be able to do the work above without a calculator if the reference angle of is

or .

4. Solve uniform circular motion problems involving arc length, angular velocity and linear velocity.

5. Without a calculator, sketch the graph of any of the six basic trigonometric functions or a

variation of such a graph involving phase shift and/or change in amplitude and/or period.

6. Perform vector computations, including:

a. addition and subtraction

b. resolution into horizontal and vertical components

c. conversion between rectangular and polar form.

7. Write an equation to describe a specified instance of harmonic motion.

8. Use vectors to solve problems involving displacement, velocity and forces.

9. Know the traditional trigonometric identities:

a. reciprocal

b. ratio

c. Pythagorean

d. cofunction

e. opposite angle

f. sum or difference of two angles

g. half-angle

h. double-angle

10. Use known identities to prove other given equations to be identities.

11. Solve trigonometric equations.

Tentative Homework Assignments:

Assume odd numbered problems are assigned unless otherwise indicated.

Section Topic Page Problems

5.1	Angles and Their Measure	450	#1 – 69, 71 - 83
5.2	Right Triangle Trigonometry	466	#1 - 53
5.3	Trigonometric Functions of Any Angle	478	#1 - 65
5.4	Trig Functions of Real Numbers; Periodic Functions	485	#1 - 11 13 & 15
5.5	Graphs of Sine & Cosine Functions	505	#1 - 55
5.6	Graphs of Other Trigonometric Functions	518	#1 - 43
5.7	Inverse Trigonometric Functions	534	#1 - 59
5.8	Applications of Trigonometric Functions	467 546	#63 – 69 #1 – 25 & 29 - 49
6.1	Verifying Trigonometric Identities	455	#1 – 59 eoo
6.2	Sum & Difference Formulas	575	#1 – 7, 13 – 23, 25 - 31
6.3	Double-Angle & Half-Angle Formulas	585	#1 - 21 47 - 57
6.5	Trigonometric Equations	604	#1 – 23, 25 – 29, 39 - 45
7.1	Law of Sines	619	#1 – 37 eoo, 39 - 47
7.2	Law of Cosines	628	#1 – 29 eoo, 31 - 39
7.6	Vectors	678	#1 - 51
7.7	The Dot Product	689	#1 - 37

Tentative Test Topics:

Test #1	Sections 5.1, 5.2, 5.3
Test #2	Sections 5.4, 5.5, 5.6
Test #3	Sections 5.7, 5.8, 6.1
Test #4	Sections 6.2, 6.3, 6.5
Test #5	Sections 7.1, 7.2, 7.6