Trigonometry Madison Area Technical College Fall 2011 Syllabus Course Information Catalog Number: 20-804-213 Class Number: 40458 Schedule: TTh 10:30am-12:20pm Location: West Room 347 Dates: 8/30/2011-12/22/2011 Credits: 3 Instructor Information Instructor: Sarah Bannen Email: sccunningham@matcmadison.edu Phone: (608) 246-6071 Office hours in Truax 260A: MW 12:30-1:15 Office hours in West 341: TTh 12:30-1:15 Description In this course you will study the six trigonometric functions and their inverse functions; solve right and oblique triangles; know and apply basic identities and simplify trigonometric expressions using identities; solve trigonometric equations; graphing trigonometric functions; understand and apply De Moivre s theorem and the nth-root theorem; understand and use complex numbers and polar coordinates; and solve application problems that rely on trigonometry. Prerequisite: College Algebra, 20-804-212 with a grade of C or better or appropriate placement score. Supplies The required textbook is Trigonometry, ninth edition by Lial, Hornsby, and Miller. 9th Ed. 2009. McGraw-Hill. ISBN #0321528859. Source: Madison College bookstore. A scientific calculator is also required, and a graphing calculator is recommended. Bring your calculator and a pencil to every class. We will do in-class activities that are required for your attendance grade, and you may use your calculator for every test. Grading Component Point Value Number Total Percentage Homework* 5 38 180 18% Practice Tests 25 8 200 20% Tests 100 4 400 40% Final Exam 200 1 200 20% Attendance* 1 30 20 2% Total Possible 1000 100% A [92%, 100%] AB [88%, 92%) B [82%, 88%) BC [78%, 82%) C [72%, 78%) D [65%, 72%) F [0%, 65%) (*You can get 10 extra points for perfect homework and 10 extra points for perfect attendance.) 1
Trigonometry Syllabus Page 2 of 7 Homework (18% of your grade) There will be homework assigned for each section covered in class (see the schedule below). The homework assignments will be due on the day the practice test for that chapter is due. No late homework is accepted. Here is how the homework is graded, out of 5 points per assignment: One problem from the section will be chosen and graded out of 3 points based on neatness, the correct steps being shown, and the correctness of the final answer. You will not get credit for this problem if you do not show your work. You will get a possible 2 points for the completeness of the assignment. This includes whether it is stapled and has your name on it. Although you may turn in homework up to the day the practice test for that chapter is due, it is strongly recommended that you try to keep up with the homework every day. You will understand the day s material better and you will have a chance to ask questions before the tests come along. There are 38 homework assignments, each worth 5 points, for a total of 190 points, but the homework grade will be calculated out of 180. Therefore you can get 10 extra credit points, or 1% of your grade, for perfect homework. Practice Tests (20% of your grade) There will be a Practice Test for every chapter (see the schedule below). The Practice Tests will give you a good idea of the problems that will be on the tests, so they are your best study guides. They give you a chance to work collaboratively to review for the tests. As with the homework, Practice Tests will not be accepted late. Tests (40% of your grade) There will be 4 tests, approximately one per chapter (see the schedule below). You may use one page of handwritten notes, front only, for the tests. Anyone can take a makeup test within one week of the day the test is handed back. In order to do a makeup test, you must complete a correction packet: on a separate sheet of paper, write new correct solutions for the problems you got wrong, plus sentences explaining what you did wrong. Even if you were absent on the day of the test, you must still complete a correction packet using the blank in-class version of the test, which will be posted on Blackboard on the test day. If your correction packet is not done satisfactorily, I may refuse to let you take the makeup test. Your makeup test grade will be final I will not take the higher of the two grades unless you write do not grade on the makeup test before you turn it in. Final Exam (20% of your grade) There will be a cumulative final exam during exam week. You may bring two pages of handwritten notes to the final exam. There are no makeups on the final. Attendance (2% of your grade) Attendance counts for only 2% of your grade, so it is quite possible (but not easy) to get an A even if you miss a lot of class. Therefore, please do not come unless you are willing to be an active participant. Please don t send text messages, check the internet, or do other distracting things during class. If you do act in a distracting manner during class, you will be given a warning, then asked to leave. You must turn in the in-class activity for the day in order to get credit for attendance for that day. In-class activities will consist of problems that can be done alone or in groups. There are 30 class days, each worth 1 attendance point, but the attendance grade will be calculated out of 20. Therefore you can get 10 extra credit points, or 1% of your grade, for perfect attendance. Partial Credit I am a firm believer in partial credit, so it is always better to make an attempt rather than completely omit a question or blow off an assignment.
Trigonometry Syllabus Page 3 of 7 Blackboard and Madison College Email The course website is on Blackboard (http://blackboard.matcmadison.edu). I will post your grades on an ongoing basis on Blackboard so that you can monitor your progress in the class. I will also post everything I hand out in class so that you can download and print it if you miss class. Please check your Madison College email regularly so that you don t miss important announcements. You should already have received an announcement in your Madison College email inbox. Please notify me if you did not receive it. Disability Act Statement Madison College complies with all provisions of the Americans with Disabilities Act and makes reasonable accommodations upon request. Please contact Disability Resources Services at 246-6716 (Students who are deaf via Relay 711), room 159 at Truax or email drs@matcmadison.edu If you have an accommodation card from their office indicating that you have a disability which requires academic accommodations, please present it to me so we can discuss the accommodations that you might need in this class. It is best to request these accommodations at the beginning if not before class so there is ample time to make the accommodations. Religious Holidays If you need to turn in a homework or test late due to a religious holiday, let me know ahead of time so it won t count against you. Student Responsibilities Students are expected to be familiar with Madison College policies and procedures. Many of the important policies and procedures are on the Madison College website, located at http://matcmadison.edu/student-rightsresponsibilities. Academic Integrity is an expectation in all Madison College classes. Plagiarism, cheating and collusion are prohibited at Madison College. Plagiarism is defined as passing of another persons work as your own. Students who fail to observe these standards are subject to disciplinary action. Madison College has a strong policy on Academic Misconduct which is published on the Madison College website. Please refer to this page on the Madison College Website to review all Academic Integrity and Misconduct policies located at http://matcmadison.edu/academicintegrity. Withdrawal Policy If a situation arises that prevents the successful completion of this course, please note that it is each student s responsibility to formally withdraw from this course. Class Cancelation Besides local radio stations and the Madison College website, students can call the hotline to inquire about weather related school closings. (608) 246-6606.
Trigonometry Syllabus Page 4 of 7 Instructor Schedule Madison College Sun Aug 28 Sat Sep 3, 2011 (Central Time) Sun 8/28 M o n 8 / 2 9 Tue 8/30 W e d 8 / 3 1 Thu 9/1 Fri 9/2 S a t 9 / 3 8 a m 9 a m 10am 2 3 7 9 : 3 0 a m - 1 0 : 2 0 a m 2 3 7 9 : 3 0 a m - 1 0 : 2 0 a m 11am Trig, West 347 1 0 : 3 0 a m - 1 2 : 2 0 p m Trig, West 347 1 0 : 3 0 a m - 1 2 : 2 0 p m 1 2 p m 1 p m Office Hour, Truax 2 6 0 A Office Hour, West 3 4 1 Office Hour, Truax 2 6 0 A Office Hour, West 3 4 1 2 p m 3 8 2 1:30pm - 2:20pm 3 8 2 1:30pm - 2:20pm 3 p m Elem Alg, Truax 3 8 1 2:30pm - 4:50pm Elem Alg, Truax 3 8 1 2:30pm - 4:50pm 4 p m 5 p m 6 p m 7 p m
Trigonometry Syllabus Page 5 of 7 Schedule and Assignments Items in bold indicate due dates. If you can t come to class on those days, please talk to me before the date in question. I do not accept late work, but we may be able to arrange for you to do it early. If you have an emergency, get in touch with me! If you don t talk to me beforehand, don t expect me to accept your late work. For each section, there will be an in-class activity on the date indicated, and homework will be assigned that day to be done after class. Homework is due the day the practice test for that chapter is due, but I strongly recommend keeping up with it every day. Chapters 1 and 2: Trig Functions, Acute Angles, and Right Triangles Tues. 8/30 1.1: Angles (1) Page 7 # 1, 5, 9, 11, 13, 21, 23, 24, 25, 27, 33, 37, 43, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 103, 105, 106, 107, 109, 114, 115, 119, 123, 127, 129, 133, and 134 1.2: Angle Relationships and Similar Triangles (2) Page 16 # 1, 3, 5, 9, 13, 15, 21, 23, 24, 25, 26, 27, 28, 30, 39, 41, 45, 47, 51, 53, 57, 59, and 69 Thurs. 9/1 1.3: Trig Functions (3) Page 27 # 1, 2, 5, 9, 11, 15, 117, 19, 23, 24, 25, 29, 33, 37, 41, 45, 49, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 77, 81, 85, 87, 89, 91, 93, 95, 96, 99, 100, and 103 1.4: Using the Definitions (4) Page 37 # 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 20, 21, 25, 28, 31, 35, 39, 45, 47, 49, 51, 53, 55, 57, 61, 63, 65, 69, 73, 77, 81, 82, 85, 88, 91, 94, and 97 Tues. 9/6 Ch. 1 Homework and Practice Test due 2.1: Trig Functions of Acute Angles Thurs. 9/8 2.2: Trig Functions of Non-Acute Angles (5) Page 55 # 1, 3, 5, 9, 11, 15, 18, 19, 20, 21, 22, 23, 26, 27, 31, 37, 39, 41, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 65, 69, 70, 73, 77, 79, 80, and 81. (6) Page 63 # 1, 5, 10, 11, 12, 13, 14, 15, 16, 17, 19, 23, 27, 31, 35, 37, 39, 43, 44, 45, 46, 50, 55, 56, 58, 62, 70, 71, 75, and 79 2.3: Using a Calculator (7) Page 68 # 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 37, 39, 44, 45, 46, 47, 49, 51, 55, 57, 61, 63, and 65 Tues. 9/13 2.4: Solving Right Triangles (8) Page 78 # 6, 7, 9, 11, 13, 15, 17, 21, 25, 29, 33, 39, 31, 43, 44, 47, 48, and 52. 2.5: Further Applications (9) Page 87 # 5, 9, 13, 14, 15, 17, 22, 25, 27, 29, 33, 37, and 38 Thurs. 9/15 Ch. 2 Homework and Practice Test due Tues. 9/20 Test for Chapters 1 and 2
Trigonometry Syllabus Page 6 of 7 Chapters 3 and 4: Radian Measure, Circular Functions, and their Graphs Thurs. 9/22 3.1: Radian Measure (10) Page 106 # 1, 5, 9, 11, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 83, 85, and 87 3.2: Applications (11) Page 113 # 1, 5, 9, 13, 17, 19, 21, 25, 27, 29, 31, 33, 35, 36, 37, 39, 43, 47, 51, 55, 58, 61, 62, 63, 64, and 66 Tues. 9/27 3.3: The Unit Circle (12) Page 126 # 1, 5, 9, 13, 17, 21, 25, 29, 33, 35, 39, 43, 45, 49, 51, 55, 59, 61, 63, 65, 67, 69, 77, and 78 3.4: Linear and Angular Speed (13) Page 131 # 3, 7, 11, 13, 17, 19, 23, 25, 27, 28, 29, 33, 35, 37, 40, and 44 Thurs. 9/29 Ch. 3 Homework and Practice Test due 4.1: Graphs of Sine and Cosine (14) Page 153 # 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 21, 22, 23, 25, 27, 29, 31, 35, 39, 41, 43, 45, 47, 48, 50, 51, and 53 Tues. 10/4 4.2: Translations (15) Page 164 # 1, 2, 3,4 5, 6, 7, 8, 9, 10, 11, 12, 15, 16, 17, 18, 21, 23, 25, 27, 29, 31, 33, 37, 39, 43, 47, 51, 53, 55, and 57 4.3: Graphs of Tangent and Cotangent Thurs. 10/6 4.4: Graphs of Secant and Cosecant (16) Page 174 # 1, 2, 3, 4, 5, 6, 7, 11, 15, 19, 23, 27, 31, 33, 35, and 45 (17) Page 183 # 1, 2, 3, 4, 5, 9, 13, 17, 19, 21, 23, 25, 27, and 31 4.5: Harmonic Motion (18) Page 187 # 1, 5, 9, 12, 15, 19, and 21 Tues. 10/11 Ch. 4 Homework and Practice Test due Thurs. 10/13 Test for Chapters 3 and 4 Chapter 5: Trig Identities Tues. 10/18 5.1: Fundamental Identities 5.2: Verifying Trig Identities Thurs. 10/20 5.3: Sum and Difference: Cosine 5.4: Sum and Difference: Sine and Tangent (19) Page 203 # 1, 3, 5, 7, 11, 21, 23, 25, 29, 33, 34, 35, 36, 37, 45, 47, 51, 53, 55, 57, 59, 61, 63, 65, 67, 77, and 81 (20) Page 212 # 1, 5, 9, 13, 17, 21, 25, 29, 33, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 81, 83, 85, 87, 89, and 93 (21) Page 221 # 1, 2, 3, 4, 5, 9, 15, 17, 19, 23, 27, 31, 33, 35, 37, 39, 43, 47, 51, 53, 55, 57, 59, 61, 63, and 65 (22) Page 229 # 1, 2, 3, 4, 5, 6, 7, 9, 13, 17, 21, 23, 27, 29, 31, 33, 35, 39, 41, 45, 47, 51, 53, 55, 57, 59, 61, 63, and 65 Tues. 10/25 Convocation No Class Thurs. 10/27 5.5: Double-Angle Identities (23) Page 239 # 1, 2, 3, 4, 5, 6, 7, 11, 15, 17, 19, 21, 23, 27, 29, 30, 31, 33, 35, 37, 41, 45, 49, 53, 55, 59, 61, and 65 5.6: Half-Angle Identities (24) Page 245 # 1, 3, 11, 13, 15, 17, 19, 21, 23, 27, 29, 33, 37, 41, 45, 47, 49, 51, 53, 55, and 62 Tues. 11/1 Ch.5 Homework and Practice Test due Thurs. 11/3 Test for Chapter 5
Trigonometry Syllabus Page 7 of 7 Chapters 6 and 7: Inverse Functions, Trig Equations, and Applications Tues. 11/8 6.1: Inverse Circular Functions (25) Page 269 # 1, 5, 7, 8, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, and 65 6.2: Trig Equations I (26) Page 278 # 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, and 57 Thurs. 11/10 6.3: Trig Equations II (27) Page 284 # 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, and 45 6.4: Equations With Inverse Trig Functions (28) Page 290 # 1, 5, 9, 13, 17, 21, 25, 29, 33, 35, 39, 41, 45, 49, and 50 Tues. 11/15 Ch. 6 Homework and Practice Test due 7.1: Oblique Angles and the Law of Sines (29) Page 308 # 3, 5, 7, 9, 13, 17, 21, 25, 29, 33, 36, 39, 43, 53, and 55 Thurs. 11/17 7.2: The Ambiguous Case (30) Page 317 # 1, 5, 7, 9, 11, 13, 15, 17, 21, 25, 29, 31, and 36 7.3: The Law of Cosines (31) Page 326 # 9, 13, 15, 19, 23, 27, 31, 35, 39, 43, 45, 49, 55, 61, 63, 65, 67, 73, 74, and 80 Tues. 11/22 7.4: Vectors, Operations, and the Dot Product (32) Page 341 # 5, 7, 9, 11, 13, 19, 23, 25, 29, 33, 35, 37, 41, 43, 47, 49, 51, 55, 59, 63, 67, 71, 73, 75, 77, 79, 81, 83, 85, 87, and 89 Thurs. 11/24 Thanksgiving No Class Tues. 11/29 Ch. 7 Homework and Practice Test due Thurs. 12/1 Test for Chapters 6 and 7 Chapter 8: Complex Numbers, Polar Equations, and Parametric Equations Tues. 12/6 8.1: Complex Numbers (33) Page 369 # 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 35, 37, 39, 41, 43, 47, 49, 53, 55, 59, 63, 67, 71, 75, 79, 81, 85, 89, 95, 99, 103, 105, and 109 8.2: Trigonometric Form (Polar Form) Thurs. 12/8 8.3: The Product and Quotient Theorems 8.4: De Moivre s Theorem; Powers and Roots Tues. 12/13 8.5: Polar Equations and Graphs 8.6: Parametric Equations and Graphs (34) Page 376 # 3, 5, 7, 9, 11, 13, 19, 25, 27, 29, 31, 33, 35, 37, 39, 43, 47, 49, 51, and 53 (35) Page 382 # 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, and 40 (36) Page 389 # 1, 3, 5, 7, 9, 11, 13, 17, 21, 27, 29, 31, 33, 37, 41, and 43 (37) Page 401 # 1, 5, 9, 13, 17, 21, 25, 37, 38, 39, 40, 41, 45, 51, 53, 55, and 57 (38) Page 411 # 5, 9, 13, 17, 21, 25, 29, 33, 37, and 41 Thurs. 12/15 Ch. 8 Homework and Practice Final due Tues. or Thurs. 12/20 or 12/22 For the final exam, you will have a choice between Tuesday or Thursday of exam week during normal class time.