Math 1060 – 005 3 Credit Hours Trigonometry MWF 11:00 – 11:50 a.m. Fall 2016 LA 127 Instructor: Dr. Vivienne Faurot E-mail: faurotvi@uvu.edu Office: LA 121X Phone: 801-863-8680 Office Hours: MWF 10:00 – 10:50 a.m & 12:00 - 12:50 p.m. or by appointment Textbook: College Trigonometry, 6th Edition, by Aufmann, Barker and Nation Prerequisite: Math 1050 with a grade of C or higher or appropriate placement exam score. Students who have not satisfied this prerequisite will be administratively withdrawn from the course. Course Description: Trigonometry is the study of certain periodic functions and their properties. It builds upon the basic concepts concerning functions that were developed in College Algebra and completes the preparation for Calculus. Trigonometric functions are initially defined using right triangles. Extending this idea naturally leads to the modern view of trigonometric functions as “circular” functions. These functions, along with their graphs, are used to solve a variety of problems and develop some important identities. Finally, the related topics of vectors, complex numbers, and polar coordinates are briefly examined. Learning Outcomes: Upon successful completion, students should be able to: 1. Give the right triangle definition of the trigonometric functions; 2. Solve trigonometric equations 3. Evaluate the trigonometric functions without a calculator at multiples of the reference angles π/6, π/4, π/3, and π/2; 4. Graph trigonometric functions including phase shifts, amplitudes, and periods 5. Prove trigonometric identities; use trigonometric identities to simplify trigonometric expressions; 6. Use the Laws of Sines and Cosines to solve application problems; 7. Write the trigonometric form of complex numbers and use De Moivre’s Theorem 8. Describe the construction of the inverse trigonometric functions, describe their domains and ranges, and know how to use a calculator to solve for angles using inverse trigonometric functions; 9. Carry out conversions between polar and rectangular coordinates; write the polar equations of conics. Attendance: Students are expected to attend each class meeting and are responsible for all material covered. If a student is absent on a particular day, he/she is responsible for obtaining the missed lecture notes, assignments, and any changes to the class schedule or syllabus. For this purpose, write the name and phone number of two students in the space below. Teaching Methods: Lecture and small group work Drop Dates: September 6 - Last day to drop a class with no record on transcript. October 3 - Last day to withdraw from a class (with a “W” on transcript). Students can drop or withdraw from this class via the myUVUonlineregistration systembeforetheLastDaytoDroporlastdaytowithdraw. See https://www.uvu.edu/registration/info/audit.html for information on AUDIT grades. Attention Students with Disabilities: Students who need accommodations because of a disability may contact the UVU Accessibility Services Department (ASD), located on the Orem Campus in LC 312. To schedule an appointment or to speak with a counselor, call the ASD office at 801-863-8747. Deaf/Hard of Hearing individuals, email nicole.hemmingsen@uvu.edu or text 385-208-2677. Academic Dishonesty Information: The following definitions are quoted from the UVU “Student Right and Responsibilities Code”, SectionVII-D: “Each student is expected to maintain academic ethics and honesty in all its forms, including but not limited to avoiding cheating and plagiarism defined hereafter: 1. Cheating is the act of using or attempting to use or providing others with unauthorized information, materials, or study aids in academic work. Cheating includes, but is not limited to, passing examination answers to or taking examination for someone else, or preparing or copying other's academic work. 2. Plagiarism is the act of appropriating any other person's or group's ideas or work (written, computerized, artistic, etc.) or portions thereof and passing them off as the product of one's own work in any academic exercise or study.” Students caught cheating on an exam will receive a score of zero for that exam. Grading: The course grade is based on written assignments, short quizzes, three onehour exams, and a final exam. The percentage contribution of each component is as follows: Assignments - 15% Final Exam - 25% One-Hour Exams - 60% (20% each) Grading Scale: The final course grade is determined using the following scale: 100 - 93% 92 - 90% 89 - 87% 86 - 83% 82 - 80% = A = A= B+ =B = B- 79 - 77% = C+ 76 - 73% = C 72 - 70% = C69 - 67% = D+ 66 - 63% = D 62 - 60% = D59 - 0% = E Assignments: To succeed in this course, it is essential to keep up with the written assignments. To encourage this, I will normally collect assignments every class period. I will not accept late assignments. Assignments must be neat and organized. If more than one page is required, you must staple or paperclip the pages together. Indicate the textbook section for the problems you are working on. Number each problem and write down the problem statement. (Long problem statements may be paraphrased, giving the essential information.) Show all of your work and aim to communicate clearly. This will help when you go back to study your completed assignments. Also circle your answers. This makes it easier for the grader to find your answers. Half of your score will be based upon your following the above instructions. One-Hour Exams: The use of calculators on the exams depends on the material covered on each exam. I will let you know what exams and/or what problems you may use a calculator. The tentative dates of the one-hour exams are as follows: Exam 1 – Wednesday, September 21 – Chapter 2 Exam 2 – Monday, October 17 – Chapter 3 Exam 3 – Friday, November 18 – Chapters 4 & 5 Final Exam: The final exam is comprehensive and will be given on Wednesday, December 14 from 11:00 am – 12:50 pm in LA 127. Itisuniversitypolicythatno finalmaybetakenearlysoplanaccordingly. Math Dept Policy: Students are expected to: 1. Perform basic algebraic and arithmetic operations using their knowledge of mathematical facts, rules, and properties. 2. Recognize and use their knowledge of a wide variety of mathematical definitions, terms, symbols, expressions, statements, formulas, procedures, and methods taught or used in the course 3. Solve problems by selecting the most appropriate mathematical formula, procedure, or method from among several formulas, procedures, or methods known by the students. Student Evaluations: UVU faculty is committed to improving their methods of instruction. Student input is not only welcome, but vital to this process. Please take the time to participate in the on-line version of the Student Rating of Instructor (SRI). Your feedback is important. As always, I will not see the results until after grades have been submitted. Helpful Hints • • • • • • You will be able to participate more effectively in classroom discussions if you read the text in advance and review your notes from the previous class. It is often helpful to do more problems than those assigned. Another good way to learn mathematics is to "teach" it. Try explaining a concept to another student or show someone in your study group how to solve a particular problem. If you can do so, you most likely have a good, solid understanding of the material. Try not to fall behind. If you start to have difficulty, get help from me in my office, by studying with other students, or by meeting with a tutor at the Math Lab in LA 201. Free drop in tutoring at the Math Lab is available Monday - Thursday 8 am to 8 pm, Friday 8 am to 5 pm, and Saturday 10 am to 3 pm. Before working problems in an assignment, study the text and your notes as if you were taking an exam. Then work through the problems without the aid of your text and notes. You may struggle and it may take more time, but what you figure out on your own will stick with you much better than if you just look it up in your notes or book. Remember, you won't have your notes or text available during an exam, so this is excellent practice. Of course, use your notes and the text when necessary. Strive to understand the concepts that are developed and recognize the patterns that arise. Do not think of math as simply memorizing formulas. Remember: MATHEMATICS IS NOT A SPECTATOR SPORT. Note: Any changes to this syllabus will be announced in class.