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MATH 104 TRIGONOMETRY MESA COLLEGE Spring 2017 CRN 73522 MW 2:20 – 3:45 MyMathLab course ID: sandvick56881 RM MS320 All Grades on Jupitergrades.com Instructor: RON SANDVICK PHONE- OFFICE: 619-388-2389 Email: [email protected] Office: MS 215B Hours : Mon - Thurs : 10:10 – 11:10 Friday: 9:30 – 10:00 and 1:00 – 1:30 OPTIONAL TEXT: Dugopolski, Trigonometry Addison-Wesley 3rd edition Any edition is OK. REQUIRED ONLINE HOMEWORK: MyMathLab online homework access code (may be purchased in bookstore or online @MyMath Lab.com) Note: An E-copy of the text is available with MyMathLab If you have had any difficulties with math in the past, or if you are looking a strong grade, I strongly suggest that you buy a new or used version of one of the three hard copy editions of the text to complement the online homework. Prerequisite: Math 96 (Intermediate Algebra) or the equivalent. Catalog Course Description: This course is a study of the numerical, analytical, and geometric properties of right and oblique triangles, of trigonometric and inverse trigonometric functions, and their applications. The course content includes right angle trigonometry, radian measure, circular functions, graphs of circular functions and their inverses, trigonometric identities, equations involving trigonometric and inverse trigonometric functions, an introduction of the complex plane, vectors and their operations, and the trigonometric form of complex numbers. This course is designed as a preparation for calculus and it is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences. This course meets CSU general education requirements. Student Learning Objectives: Upon successful completion of the course the student will be able to: 1. Recognize and construct angles whose measures are given in degrees or radians, convert between radians and degrees, determine reference angles, and apply angle measurement to problems. 2. Define trigonometric functions in terms of the lengths of the sides of right triangles, and apply to problems involving right triangles. 3. Evaluate trigonometric functions of special angles by utilizing geometric properties of triangles. 4. Define and evaluate trigonometric functions as circular functions. 5. Analyze and describe the graphs of trigonometric functions and their algebraic representation in terms of their properties including the phase shift, the period, vertical shifts, the amplitude, asymptotes, and the domain and range. 6. Define, evaluate, describe, and graph inverse trigonometric functions including their domains and ranges. 7. Derive and prove fundamental trigonometric identities including the Pythagorean identities, the reciprocal identities, the sum and difference identities, and apply these to derive more general identities. 8. Solve trigonometric and inverse trigonometric equations. 9. Apply the Pythagorean Theorem, the law of sines, and the law of cosines to solve right and oblique triangles, and application problems. 10. Apply the definitions of trigonometric functions to describe vector quantities in terms of their components, and in terms of their magnitude and direction. 11. Apply vector algebra to problems involving vector quantities such as force, velocity and displacement. 12. Perform arithmetic operations on complex numbers using both standard and trigonometric form including applications involving De Moivres Theorem, and interpret those operations geometrically. Student Learning Outcome (Specific outcome being tested by the math department) The student is able to demonstrate knowledge of the interrelatedness of concepts for graphing the sinusoidal functions, including the amplitude, period, horizontal and vertical translations, and horizontal stretching and shrinking Student will be able to simplify an equation and solve it on an interval Student will be able to apply the Law of Sines or Cosines to solve an application problem Course Overview: This course will provide a solid basis in the analysis of the trigonometric functions. An attempt will be made to key in on topics that are presented in pre-calculus and calculus. The flavor of this course will mix light-hearted fun with mathematical rigor. Be prepared to study 1.5 hours outside class for each hour in class. FEEL FREE TO ASK QUESTIONS, ESPECIALLY IF THEY ARE DUMB ONES. Statement of Student Responsibility: Students are responsible for paying fees, processing add codes and dropping before the deadlines. The drop deadline is the end of the 10th week. Attendance: This stuff is too tough to handle at home (at least some sections), so make sure you get here consistently. Two consecutive absences may be cause for a drop. You can miss a maximum of 5 class sessions without affecting your grade. Teams: All students will be arranged in teams of 4-6 students. You will exchange phone numbers, be available for an occasional study session, take team quizzes together, be a resource for test review, work together as team homework experts, and be a confidence booster when things aren't going well. It's tough to get through this class alone, so get to know as many of your fellow colleagues as possible. Study together and ask a lot of questions. You will learn faster and have more fun. Grading Policy: Tests (6): Each test is 100 points. Lowest score is dropped. Quizzes: about 50 pts (quizzes are worth 3-4 pts each daily) Lowest score is dropped Homework: 60% complete = 24/24 100% complete = 24 pts + 16 points EXTRA CREDIT Final Review: 15 pts. Final Exam is Test #6: Includes Material from every chapter 100 pts. Final Grade determined by dividing the total points earned by the total points possible based on the scale A: 90 or higher B: 80 – 89.9% C: 70 – 79.9% D: 60 – 69.9% F: Below 60% Borderline Grades. If a final average is within 0.6% of the next higher grade, I will add 0.6% to the score if : 90% of all homework assignments have been completed . All others will receive the grade earned to the nearest 10th of a percent. Note: 89.9% is a ‘B’, unless 90% of the homework is complete. Note: No work or extra credit may be added to change your score after the Final Exam is given. ONLINE GRADE INFORMATION Your grades and point totals will be available at Jupitergrades.com. Obtain the password access from the instructor during the first week of classes. Calculator: you will need a non-graphing scientific calculator that does not have a note-taking capability. Graphing calculators and cell phones are not allowed on any desk during a test –penalty 20 test points. Homework: 60% required, 40% Extra Credit and Completed online using MyMathLab.com After you purchase the access code and get a username and password, then enter the Course ID: Given at the beginning of syllabus. 60% complete = 24 points. 100% complete = 24 plus 16 points Extra Credit. ALL Homework is Due at the start of the Final Exam Make-ups: No make-ups will be given for either the tests or the quizzes. If you miss a test as a result of absence for whatever reason, I will use that test as your drop test. Late quizzes may be turned in late (up to two weeks after being assigned) with a penalty of one point. No quiz can be made up after two weeks. Please do not turn in quizzes during the same class after returning from an absence. Take the quiz home and understand the problems, then turn it in the next class. Tutoring: Besides coming to my office, there are several other sources for outside help: 1. Tutoring center provides help with all concepts of trig: Located in the LRC Fourth Floor 9:00 am to 8 pm M- F And 9 – 2 Saturday 2. This book is linked to MyMathLab software online at Mathxl.com Behavior A. B. C. Academic Honesty: The act of misrepresenting your test results in lower scores for the other students in the class, since cheating increasing the score needed for any particular grade. If you see anyone attempting to get a higher score by unethical means, please write me a short note. Remember that their cheating may lower your score by increasing the curve. The following behaviors and class results: Result (Test may not be dropped) 1. Unauthorized notes found in or near your test in progress: 100 pts deduction 2. Looking at someone’s test or communication 20 pts subtracted from test with another during a test. score (first offense),100 pts second offense 3. Graphing Calculator found near test. 20 pt deduction Courtesy: ANY BEHAVIOR WHICH IMPEDES OTHER STUDENTS FROM COMPLETING THEIR ASSIGNMENT OBJECTIVES COULD BE CAUSE FOR CLASS DISMISSAL-SEE CONDUCT POLICY - MESA COLLEGE CATALOG Academic Accommodations STUDENTS WITH DISABILITIES WHO MAY NEED ACCADEMIC ACCOMODATIONS SHOULD DISCUSS OPTIONS WITH THE PROFESSOR DURING THE FIRST TWO WEEKS OF CLASS Note: this class will be a mentally invigorating and time-consuming experience. Take the challenge and be the best you can be. It will pay off in your life. good luck!!! And . Tentative Schedule. SEE next page Mathematics 104 – Trigonometry (Tentative Schedule) Ron Sandvick CRN 73522 MW 2:20 – 3:45 Rm MS 320(Spring 2017: 1/30/2017 – 5/27/2017) Monday Tuesday Wednesday Thursday Friday 1/30 1.1/1.2 Functions of Trig 2/6 1.6 2/13 Review 1/31 2/1 1.4 2/2 2/3 2/7 2/9 2/10 2/16 2/17 Lincoln Day 2/20 Washington Day 2/27 2.2 3/6 2.4 3/13 Test Chap 2 Graphing 3/20 3.2 3/27 Recess 4/3 3.5/3.6 4/10 Test Chap 3 Identities 4/17 4.2 4/24 Review 2/21 2/8 1.5 2/15 Test Chap 1 Basic Trig 2/22 2.1 Graphing 3/1 2.3 3/8 Review 3/15 3.1 Identities 2/23 2/24 3/2 3/3 3/9 3/10 3/16 3/17 3/22 3.3/3.4 3/29 Recess 4/5 Review 4/12 4.1 Equations 3/23 3/24 3/30 Recess 4/6 3/31 Cesar Chavez Day 4/7 4/13 4/14 4/20 4/21 4/27 4/28 5/1 5.1/5.2 5/8 6.3 5/15 Review 5/2 5/4 5/5 5/11 5/12 5/18 5/19 5/22 Final Review 5/23 Final review is due at start of final exam or earlier 4/19 4.3/4.4 4/26 Test Chap 4 Equations 5/3 6.2 5/10 6.4 5/17 Test chap 5-6 Non Right triangles / Polar Equations 5/24 Test 6 Final includes all chapters 5/25 5/26 2/14 2/28 3/7 3/14 3/21 3/28 Recess 4/4 4/11 4/18 4/25 5/9 5/16 Withdrawal Deadline