Math 108-Section 2 - Trigonometry - Summer 2018
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Math 108-Section 2 - Trigonometry - Summer 2018 Instructor: Mashael Albaidni Email: mashael.albaidani@wsu.edu Office: Neill Hall 316 Office Hours: Mon, Wed. from 2:30 pm to 3:30 pm in Cleveland 130 (MLC) or by appointment in case of time conflict. Course Website: learn.wsu.edu Course Description: Topics include trigonometric functions and their inverses, trigono- metric identities, trigonometric equations, the laws of sines and cosines, polar coordinates, and graphs of polar equations. Prerequisite(s): A grade of C or higher in Math 106 (College Algebra). A solid under- standing of basic algebra rules and concepts is highly expected. Credit Hours: 2 Meeting Times: M-Th, 1:00 pm - 2:15 pm, CUE 319. Required Text: College Algebra and Trigonometry, Julie Miller and Donna Gerken, Pub- lished by McGraw Hill Course Objectives: At the completion of this course, students will be able to: 1. understand the concept of radian and degree, and convert from one to the other 2. recognize and use the vocabulary of angles (including standard position, initial and terminal sides, quadrantal angles, coterminal angles, acute, right, and obtuse angles) 3. use right triangles to evaluate the six trigonometric functions 4. compute the six trigonometric functions of any angle by using reference angles 5. know and draw the graphs of the six trigonometric functions and their variations 6. understand the definitions of the inverse trigonometric functions 7. prove and apply identities involving the trigonometric functions 8. solve trigonometric equations 9. recognize polar coordinates and graph polar curves 10. convert between polar and rectangular coordinates 1
Grading Category Percent Written Homework 25 In-Class Activities 10 Quizzes 20 Midterm Exam 20 Final Exam 25 Letter grades will be assigned as follows. Each percent grade listed is the minimum grade needed to achieve the corresponding letter grade. Percent Grade 0 60 67 70 73 77 80 83 87 90 93 Letter Grade F D D+ C− C C+ B− B B+ A− A Dates of Quizzes and Exams Quiz 1 Thursday, June 21 Quiz 2 Thursday, June 28 Midterm Exam Thursday, July 5 Quiz 3 Thursday, July 12 Final Exam Thursday, July 26 Quiz 4 Thursday, July 19 Holidays Independence Day, July 4 (NO CLASS) Course Policies: Homework Expect to spend at least two hours on homework per one hour of class time. This means that you should be spending at least 10 hours per week on homework especially if you struggle with mathematics. Homework deadlines will be announced in class and on the course website. Late homework will not be accepted for any reason, so do not procrastinate and be sure to submit your homework promptly. Homework papers placed in my mailbox also will not be accepted. About five or six homework sets will be assigned. Your lowest homework score will be dropped from your overall grade. The teaching assistant will be instructed to deduct points or give a grade of zero if the following instructions are not followed: 2
• The homework solutions you submit should be written neatly and in an or- ganized manner. As you present a solution, it should be easy for a reader to follow how one step leads to another. The examples in the text are good guides to follow in this regard, as are any examples I may work in class. Some problems may be difficult and require multiple attempts before finding a suc- cessful strategy. Use scratch paper for preliminary work, and only include the successful attempt on your submitted homework. Papers containing sloppy and illegible work will not be graded. This includes papers with scribbles. • Your solutions should be clearly labeled and in order. If multiple sheets of paper are required to complete an assignment, they must be COLLATED and STAPLED together. I advise that you use loose-leaf paper to write your solutions on. If you wish to use notebook paper, be sure that all fringes are completely removed before you submit your assignment. Please write your name and the assignment number on the front page. • Your written solutions should contain enough explanation so that the grader is convinced that you know what you are doing. Generally, it is inadequate to merely write down the final answer to a problem. • You are encouraged to work together on homework assignments. However, each of you must submit your own assignment. Everything you submit should be in your own words and you should thoroughly understand everything you write down. Offering and accepting solutions from others is an act of pla- giarism, which is a serious offense and all parties involved will be penal- ized according to WSU’s Academic Integrity Policy. Quiz Policy There will be quizzes given during each Thursday class, except during exam weeks. The problems will be similar to homework and examples done in class. No make- up quizzes will be given. Please write neatly in pencil, show all of your steps, and circle (or box) your final answers on all quizzes. Unless stated otherwise, notes, books, and electronic devices (including calculators) are not allowed on any quiz. Exam Policy There will be a midterm exam and a comprehensive final exam. Students must bring a valid ID to each exam. All exams must be taken during their scheduled date and time. There will be no make-up exams unless a stu- dent can provide verifiable evidence that he/she has a significant illness or serious family crisis that will prevent him/her from attending. Except under extremely unusual circumstances (i.e. jail or car accident), you must inform me in advance of the missed exam. In the event that this happens, you are expected to promptly make arrangements with me to make up the exam. Please write neatly in pencil, show all of your steps, and circle (or box) your final answers on all exams. Unless stated otherwise, notes, books, and electronic devices are not allowed on any exam. 3
Expectations • Respect your classmates, yourself, and your instructor. • Attendance and active participation is highly expected as it is critical to your grade. Show up to class on time and come prepared, i.e. bring paper and a pencil at the minimum. • All cell phones, pagers, MP3 players, and other noise makers must be kept silent during the entire class period. A repeated pattern of classroom interruptions by electronic gadgets will be considered grounds for discipline. • Any disruptive behavior will not be tolerated as this detracts from the learning envi- ronment. • Any form of cheating will not be tolerated. If you are caught cheating during a quiz or exam, then your quiz/exam will be taken from you and you will receive a 0% for that particular quiz/exam and possibly the course. In other words, academic honesty is expected and will be enforced. • I insist on the use of a pencil for all mathematical work. In mathematics, mistakes occur, but I expect you to be able to erase these mistakes on homework, quizzes, and exams. Tutoring The Math Learning Center (MLC) is an ideal place to work on homework between classes if my office hours are not sufficient. It is a supportive place for students to come together and study in groups or individually. Tutors are available to help you solve problems and improve your math skills. The MLC is located in Cleveland 130. The MLC Summer Session weekly hours are: 10:00 am to 5:00 pm from Monday to Thursday. Students with Disabilities Reasonable accommodations are available for students with a documented disability. If you have a disability and need accommodations to fully participate in this class, please either visit or call the Access Center (Washington Building 217; 509-335-3417) to schedule an appointment with an advisor. All accommodations MUST be approved through the Access Center. An Invitation If you have any questions on homework, questions/concerns about the course, concerns about your grade, etc, please see me during my office hours or make an appointment to see me. NOTE: I reserve the right to add-to or modify the information contained on this syllabus if needed. 4
Course Topics 5.1 Angles and Their Measure 5.2 Right Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle 5.4 Trigonometric Functions Defined on the Unit Circle 5.5 Graphs of Sine and Cosine Functions 5.6 Graphs of Other Trigonometric Functions 5.7 Inverse Trigonometric Functions 6.1 Fundamental Trigonometric Identities 6.2 Sum and Difference Formulas 6.3 Double Angle, Power-Reducing, and Half-Angle Formulas 6.4 Product-to-Sum and Sum-to-Product Formulas 6.5 Trigonometric Equations 7.1 Applications of Right Triangles 7.2 The Law of Sines 7.3 The Law of Cosines 8.1 Polar Coordinates 8.2 Graphs of Polar Equations NOTE: Depending on the time permitted, topics may be added or removed from this list. 5
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