MATH 160-02: Precalculus Spring 2014 Course Meeting Location: Wickersham 219 Class Meetings: 4:00-4:50 M 4:00-5:15 TR Course Instructor of Record: Dr. Cynthia Taylor Ph (Office): (717) 871-2417 E-mail: cynthia.taylor@millersville.edu Office: Wickersham 102 Office Hours: MW 9:15-10:15; MTR 3:00-4:00; others by appointment Course Description: MATH 160 is a 4-credit course designed for those intending to continue into Calculus. The prerequisite is two years of high school algebra plus one year of high school geometry and trigonometry AND Math Placement OR a C- or better in MATH 101 (College Algebra). You need a C- or better in this course in order to take MATH 161 (Calculus I). Math 160 counts toward the G2 block in the General Education Curriculum (for non-math majors). Course Objectives: In this course, you will learn material that you need in order to succeed in the Calculus sequence, including how to: correctly use mathematical notation and terminology; describe and distinguish among properties of algebraic, exponential, logarithmic, and trigonometric functions; correctly solve applied problems using the types of functions above; translate and transform functions; use a graphing calculator to generate information and to solve problems as appropriate. Course Content: Functions and Their Graphs (Chap. 1) Polynomial and Rational Functions (Chap. 2) Exponential and Logarithmic Functions (Chap. 3) Trigonometry (Chap. 4) Analytic Trigonometry (Chap. 5) Topics in Analytic Geometry (Chap. 6) Required Materials Textbook and WebAssign: Larson, R. (2011). Precalculus: A Concise Course (second edition). Belmont, CA: Brooks/Cole Cengage Learning. ISBN 13: 978-1424089154 (Hardcopy). o You can purchase access to an electronic version of the text (ebook) at webassign.net. (Homework access together with the ebook is listed at $75.) Note that you will only have access to the ebook for the semester. Online homework will be administered using WebAssign (webassign.net). You must purchase your own access code. It is not possible to share an access code with another student or to purchase a used access code.
2 Required Materials Calculators: You are required to have access to a graphing calculator, and you will sometimes need one for quizzes and exams. The department supports all models of TI-83/Plus, TI-84/Plus, and TI-86 graphing calculators. You may not use a calculator with a computer algebra system (such as the TI-89, TI-92, or TI-Nspire) during an exam or quiz. However, you may use a TI-Nspire with the TI-84 keypad. You will not be permitted to share a calculator with someone else during an exam or quiz. You may not use any other electronic device (cell phone, PDA, etc) during an exam or quiz. Attendance: Regular attendance is expected and essential for success in this course. PLEASE BE PUNCTUAL! TARDINESS is disruptive not only to the instructor, but also other students, and has an adverse effect on course success. WebAssign Homework: You should expect to spend a minimum of three hours outside of class on homework and review for every hour spent in class. Homework exercises help you review and reinforce concepts covered in class. The textbook exercises are arranged in generally increasing level of difficulty. Working only the low-numbered exercises will not prepare you sufficiently for the test and final examination exercises. In addition to practice exercises from the textbook, graded homework problems will be administered on-line through the Enhanced WebAssign website. You are responsible for enrolling in the on-line homework section of Precalculus. Create your account as soon as possible. For almost every section we cover in class, there will be an online homework assignment in WebAssign. Each homework is due at 11:59 pm, two class days after the section is completed in class. For example, if we finish Section 2.1 on a Tuesday, the homework for Section 2.1 is due at 11:59 pm on Friday. The 11:59 deadline is for your convenience, but please understand that I will not be able to answer last-minute email questions. You must plan ahead and get your questions answered during the day. If you do not complete an assignment on time, you can request an automatic extension in WebAssign within 7 days of the due date. You get full credit for any problems that you submitted before the due date, but there is a 25% penalty for any problems submitted during the extension period. Seven days after the due date, you can no longer submit any part of the assignment. For general open-ended questions, you have five chances to get the correct answer. For multiple choice questions, the number of submissions is restricted. For example, for a Yes/No question, you only get one submission. Your two lowest homework scores will be dropped at the end of the semester.
3 Course Assessment: Final grades will be calculated from your performance on online homework (10%), 6 quizzes (25%), 3 exams (45%), and a cumulative final exam (20%). Letter grades will be based on a tenpoint scale with NO CURVING see table below only the course instructor of record for this class can issue a final grade. There is no extra credit. Quizzes will be announced in class at least two class days in advance. You must contact me in advance (unless it is absolutely impossible to do so) if you are forced to miss a quiz. I prefer that you contact me by email. You will need a documented excuse, with my approval, to take a quiz at any time other than the scheduled time. I will ask you for documentation for your excuse, so be prepared to provide it. Even if you do contact me in advance, your excuse must meet with my approval in order for you to be given a make-up. NO MAKE-UP EXAMS will be given during the semester. You must contact me in advance (unless it is absolutely impossible to do so) if you are forced to miss an exam. You will need a documented excuse, with my approval. If for some extreme and justifiable circumstance you miss an exam, your final exam grade will replace the ONE missed exam grade. Extenuating circumstances will be dealt with on a case-by-case basis. % 93-100 90-92 87-89 83-86 80-82 77-79 Letter A A- B+ B B- C+ % 73-76 70-72 67-69 63-66 60-62 0-59 Letter C C- D+ D D- F Please do not hesitate to see me if you encounter any problems with the course material or a perceived teacher conflict as soon as you encounter problems! I am not a mind reader and the only way I can help meet your individual needs is by discussing them with you. Important Dates: Monday, January 27 th Last day to drop or add a course online (by 11:59pm) Monday, February 24 th Exam 1 Thursday, March 13 th Exam 2 Friday, April 4 th Last day to withdraw from a course and receive a W grade Tuesday, April 22 nd Exam 3 Monday, May 5 th Last regular class day Wednesday, May 7 th, Final Exam, 12:30-2:30 Professional Courtesy Policy Regarding Electronic Devices: It is important that you turn off all cell phones, pagers and music devices while in class and place them out of sight. All students have a right to learn without these intrusions. In addition, the instructor expects your complete attention during class time.
4 Academic Honesty Statement: Academic integrity is expected at all times. If you cheat on a quiz or exam, you will receive a zero for that quiz or exam. Furthermore, the university s policies on academic honesty and dishonesty will be strictly enforced in this course (e.g., policies related to cheating, academic misconduct, etc.). Review these policies in your student handbook and in the Academic Honesty and Dishonesty brochure. Accessibility Statement: If you need accommodations because of a documented disability, if you have emergency medical information to share with me, or if you need special arrangements in case the building must be evacuated, please inform me immediately. Please see me privately after class, or at my office. TAYLOR S TEN COMMANDMENTS OF LEARNING MATHEMATICS 1. Attend and participate (ask questions, make comments, be alert mentally) in every class. 2. Ask questions when in doubt during class. Ask me to slow-up, give a similar example if that would be helpful. 3. Maintain a neat and organized notebook of notes and assignments. 4. During class, use your pencil constantly to record notes, correct errors, practice problems, etc. Do not depend solely on your memory. 5. Try a few problems as soon after class as it is possible. Do not wait several days to start the homework. 6. Complete the minimum number of problems assigned, plus do extras if necessary to remove doubts and errors. 7. Work with one or two other people in the class once or twice a week. 8. Ask questions to remove all doubts and misunderstandings after each assignment. DO NOT WAIT! 9. Complete the Chapter and Cumulative Reviews in the textbook as a pretest before a major test. 10. If you are still having difficulty, contact me or attend the Mathematics Assistance Center (MAC) in Wickersham 100. The center is open Monday through Thursday, starting with the second week of classes. The center is staffed by math majors and is FREE.
5 Practice Problems These are assigned homework problems (from the e-book) for all of the chapters. You do not need to complete all of the problems, but you should be able to do them. *Very important concept This list consists of odd-numbered problems only. For example, 3-17 means 3-17 odd. Since the answers to these problems are in the back of the book, you can check your work. Feel free to ask questions about these problems at the beginning of class. Problems marked with ** are challenge problems. If you are a math major or just looking to challenge yourself, try these problems. If you have questions about them, please ask during office hours Chapter 1 1.1 # 5, 7, 13, 15-23, 29, 31, 41, 47, 49, 57, 59, 66, 75**, 77**, 84* 1.2 # 7, 9, 17, 25, 27, 29, 33-43, 63 (by hand), 71, 75, 81, 87, 90* 1.3 # 9, 13, 15, 19-27, 31, 33, 35, 51, 55, 59, 61, 67, 71, 79-93, 113, 115**, 119**, 146* 1.4 # 11, 13, 19-23, 29, 31, 35, 39-45, 49, 51, 59-65, 71-75, 79, 103-109 1.5 # 9-25, 41-45, 83, 85, 87**, 89**, 101, 103, 125-129 1.6 # 11-15, 57, 61, 63 1.7 # 11-23, 33 (no d), 37 (no d), 41 (no d), 45 (no d), 49 (no d), 55-59, 63**, 65**, 77 1.8 # 9-15, 17, 21, 23, 41, 43, 47, 57, 71, 73**, 75** 1.9 # 7 (algebraically), 9 (algebraically), 15, 17, 21, 35, 39, 41, 49, 51, 55, 59, 75**, 77, 87, 89, 93, 95, 101 Chapter 2 2.1 # 7-11, 17, 21, 23, 29-33 (complete the square), 43, 47-51, 75, 77 2.2 # 9-17, 21-27, {35, 37, 39, 43 find zeros algebraically only}, 57, 59, 65, 67, 71, {75, 79, 81, 83 sketch only with zeros}, 93, 95, 108* 2.3 # 11, 13, 21, 27-33, 43-49, 55, 59, 61 2.4 # 9, 17, 21-25, 27, 31, 33, 37, 41-45, 49-53, 69-73 2.5 # 9-25, 33 (only c), 45, 47, 55, 59, 63-73 2.6 # {5, 7 no a}, 9-15, 21-31, 35, 39, 45-49, 55, 61, 65 2.7 # 13-19, 23, 27, 29-35, 41-49, 59-63, 73**, 75** Chapter 3 3.1 # 7-11, {13-16 all}, 23-27, 51-61, 67, 69**, 73 (no c), 79, 81 3.2 # 7-27, 33-41, {45-50 all}, 57, 65, 71-77, 85-91 3.3 # 15-53, 59*, 61*, 63*, 67-77, 81, 85 3.4 # 13-23, 29-37, 43, 45, 49, 51, 55, 59**, 61**, 63, 81, 85, 89, 93-109, 121, 123
6 Chapter 4 4.1 # 17, 19, 23-33, 41, 43, 49-63, 81-101 4.2 # 5-41, 49-57 4.3 # 5-11, 17-21, {22-25 all}, 27, 31-35, {37-42 all}, {57-63 all}, 65, 67, 69*, 70, 71 4.4 # 9-15, {19-22 all}, 23-31, 37-43, 53-75, 89, 91-95 4.5 # 5-17, 39-53, 57, 67, 69 4.6# {9-15 all}, 17-31, {85-90 all} 4.7 # 5-19, 23-27, 31-35, 43-75, 79, 80, 105, 106, 110 4.8# 5, 7, 19, 21, 25, 31 Chapter 5 5.1 # 11-49 5.2 # 9-37, 43, 45 5.3 # 11-19, 23, 25, 26, 27, 28, 29, 30, 33, 39-43 Even Ans: #26: x = 0 or x = π #28: x = π/2 or x = (3π)/2 or x = (2π)/3 or x = (4π)/3 #30: x = π/3 or x = (5π)/3 5.4 # 7-19, 43-47, 61-65, 75-81 5.5 # 11, 12, 13, 19, 23, 37 (not tan 2u), 38 (not tan 2u), 53, 54, 59, 63, 65, 67, 68, 71, 73, 77, 78 Even Ans: #12: 8/17 #38: sin 2u = -24/25 cos 2u = 7/25 #54: sin! 2 = 17 17! #68: sin u $ # & = 5 26! cos u $ # & = 26 " 2 % 26 " 2 % 26 #78: x = 0, x = π/3, x = (5π)/3 5.6 # 5-9, 13-17, 21, 25-31, 45, 48*, 49, 51, 52 Even Ans: #48: The bearing from C to B is 240 #52: C = 30, From Pine Know: 42.4 km, From Colt Station: 15.5 km 5.7 # 5-13, 21, 23, 27-31, 41, 42, 43, 45, 46, 51 Even Ans: #42: Distance from Franklin to Rosemount: 1357.8 miles Bearing from Franklin to Rosemount:! 19.0 Bearing from Franklin to Rosemount: N 56.0 E #46:! 127.2
7 Tentative Schedule Date Section(s) Other Date Section(s) Other 3/17 1/21 1.1, 1.2, 1.3 3/18 1/23 1.3, 1.4 3/20 Spring Break 1/27 1.4 3/24 3.3 1/28 1.5 3/25 3.4 1/30 1.6 3/27 3.4, 4.1 2/3 1.6, 1.7 Quiz I 3/31 4.1 2/4 1.7 4/1 4.2 Quiz IV 2/6 1.7, 1.8 4/3 4.3 2/10 1.8 4/7 4.3 2/11 1.9 4/8 4.3, 4.4 2/13 1.9, 2.1 Quiz II 4/10 4.5 2/17 2.1 4/14 4.5 Quiz V 2/18 2.2 4/15 4.6 2/20 2.2, 2.3 4/17 4.6, 4.7 2/24 Exam I 4/21 5.1, 5.2 2/25 2.4, 2.5 4/22 Exam III 2/27 2.5 4/24 5.3 3/3 2.5 4/28 5.3 3/4 2.6 Quiz III 4/29 5.3, 5.4 3/6 2.6 5/1 5.4, 5.5 Quiz VI 3/10 3.1 5/5 5.6, 5.7 Last day of class 3/11 3.1, 3.2 5/7 Final Exam 12:30-2:30PM 3/13 Exam II