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MAT 104 Trigonometry Summer 2005
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: I will be available in room A210 from 12:30 - 1:00 PM, Monday-Thursday.
Class Time and Location: Mon. - Thurs. 10:30 AM -12:20 PM, E106
Textbook: Precalculus, Michael Sullivan and Michael Sullivan, III
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 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: 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 Quizzes: 200 points Exam1 (July 11): 200 points Exam2 (July 25): 200 points Final Exam (August 4): 250 points
You may check your grades at any point in the quarter by going to the following website:
http://www.gradesource.com/reports/1027/7649/index.html
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 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 (June 30, July 6, 14, 20, and August 1). 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. If you cannot make it to an exam you may take it up to 2 school days prior to the scheduled date with proper arrangements. Otherwise, a regular exam may be made up after the scheduled date with a penalty of 10% per day. The final may not be taken after August 5th.
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 8. After July 8, you may drop the class and receive a grade of W until July 22. After July 22, 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 GMC. 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: 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. I will let you know if we stray from this path.
June27 5.1 Angles and their Measurements 28 5.2 The Trigonometric Functions 29 5.3 Properties of the Trigonometric Functions 30 5.4,5.5 Quiz I Graphs of the Trigonometric Functions
July4 No Class 5 5.6 Phase Shifts and Curve Fitting 6 6.1,6.2, Quiz II The Inverse Trigonometric Functions 7 6.3 Trigonometric Identities 11 Exam I 12 6.4 Sum and Difference Identities13 6.5,6.6 Double-Angle, Half-Angle, and other Identities 14 6.7, Quiz III Trigonometric Equations 18 6.8 More Trigonometric Equations 19 7.1 Solving Right Triangles 20 7.2, Quiz IV Law of Sines 21 7.3,7.4 Law of Cosines and Areas of Triangles 25 Exam II 26 8.1,8.2 Polar Coordinates, Equations, and Graphs 27 8.3 Trigonometric Form of Complex Numbers 28 8.4 Vectors
August1 8.5, Quiz V The Dot Product 2 9.7 Parametric Equations 3 Review 4 Final Exam
Tentative Quiz and Exam Content:
Quiz I: 5.1,5.2 Exam I: 5.1-6.2 Quiz II: 5.3,5.4 Exam II: 6.3-7.2 Quiz III: 6.3,6.4 Final: Cumulative Quiz IV: 6.5-6.8 Quiz V: 7.3-8.2
The following is a list of all homework assignments for this course. The due dates for the various sections will be given in class.
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