MATHEMATICS 100 — All sections Spring 2012 COURSE OUTLINE Welcome to Math 100: Calculus I. In this course we will learn a few tools from calculus that will be useful in your future career in math, engineering, economics, physics, or any other science. Thank you, and we wish you a productive and rewarding term. Dr. Slim Ibrahim Dr. Frederick H. Willeboordse 1 Logistics Instructors There are two instructors in this course. For math-related questions, you are welcome to talk to any of us; you are not restricted only to your lecturer. If you cannot make our office hours, the Math and Stats Assistance Centre is a fantastic resource and of course you can talk to us at the end of a lecture. We are always happy to talk to students! Instructor Dr. Slim Ibrahim Dr. Frederick H. Willeboordse Email ibrahim@math.uvic.ca fhw@uvic.ca Office SSM A547 SSM A438 Phone (250) 853-3294 (250) 721-6332 Office Hours Thursdays 10:30-12:30 Tuesdays 9:30-11:15 Prerequisites: Minimum grade of B in one of Principles of Mathematics 12, Pre-calculus 12, or equivalent, or a passing grade in Math 120, or passing the Placement Test. Course Content: See Section 5. Course site: Go to http://moodle.uvic.ca and sign in with your Netlink ID. All course announcements, including homework assignments and instructions for midterms, will be posted there. We expect you to check the site regularly. Textbook: Calculus Early Transcendentals, 7th Edition, Edwards and Penney, published by Pearson/Prentice Hall. It is stocked by the Campus Bookstore. SUBtext, a student-run used book store located in the Student Union Building, may also have used copies. There is an instructor solution manual which contains full solutions to almost all problems in the textbook. There are copies of it in the Reserve Reading Room of the Library and in the Math Assistance Centres. In addition, you can access an online version of this manual at MathXL. For instructions on how to access it, see http://www.math.uvic.ca/~alfonso/Math100/MathXL2011.pdf Math 100 vs Math 102: Math 100 and Math 102 are similar courses. Math 100 requires a greater facility with algebra and trigonometry, and will prepare you to take further courses in calculus. It is mostly intended for students in mathematics, the physical sciences, and engineering. Math 102 is a course for students who will not require any further calculus courses afterwards, mostly in business and the social sciences. You cannot receive credit for both Math 100 and Math 102. 1 2 Lectures and tutorials There are twelve sections for this course. Please check on http://fast.uvic.ca/FASTPORTAL/ to make sure you are enrolled in the correct section and to find out your room and schedule. Each section has three hours of lectures and one hour of tutorial per week, which are all required. If you would prefer to attend a different section, you are welcome to do so, but you need to change your enrollment first. 3 Evaluation We will compute the final mark in this course as follows: • Homework - 10%. • First midterm, on Thursday, February 2nd, 18:15-19:45pm — 20%. • Second midterm, on Friday, March 9th, 18:15-19:45pm — 20%. • Final Exam — 50%. Homework There will be 5 homework assignments. Assignments are due at the beginning of tutorials in the weeks as indicated in the lecture schedule, and you have to turn them in at the tutorial in which you are enrolled. We will not accept any late homework assignments. For the specific dates on which they are due, see section 5. Midterms All twelve sections will have common midterms on a Thursday or Friday evening (see dates above). Locations and material covered will be announced on the moodle site. If you miss a midterm for a justified reason (illness, accident, or family affliction) we can excuse it, but we will need proper documentation. In that case, please contact your instructor as soon as you are able to do so. Final Exam The final exam will be in April on a date to be determined by the University. Letter grades We will convert your numerical scores to letter grades as follows: 90–100 A+ 4 85–89 A 80–84 A– 75–79 B+ 70–74 B 65–69 B– 60–64 C+ 55–59 C 50–54 D 0–49 F Questions? • For questions about which math course at UVic is right for you, contact the Math Advisor Dr. Jill Simmons: SSM A537, (250)721-7451, mathadv@uvic.ca. • For questions about registration, pretests, or other administrative issues, contact the Administrative Officer Ms. Carol Anne Sargent: SSM A436, (250)721-7459, msadmin@uvic.ca. • For questions about Math 100, contact any of the two instructors (see Section 1). 2 5 Provisional lecture schedule Week Dates Bk section(s) Homework Assignments HW 1 due at beginning of tutorial 1 2 3 4 5 04/01 09/01 16/01 23/01 30/01 - 06/01 13/01 20/01 27/01 03/02 2.1, 2.3, 3.2, 3.5, 3.7, 2.2 2.4, 3.1 3.3, 3.4 3.6 3.8 6 8 9 10 06/01 20/02 27/02 05/03 - 10/02 24/02 02/02 09/03 3.9, 4.3, 4.6, 4.8, 3.10, 4.2 4.4, 4.5 4.7 4.9 11 12 13 14 12/03 19/03 26/03 02/04 - 16/03 23/03 30/03 05/04 5.2, 5.3, 5.4 5.5, 5.6, 5.7 5.7, 5.8, 5.9 Review HW 2 due at beginning of tutorial Midterms Midterm 1 on Thursday evening (up to Section 3.6) HW 3 due at beginning of tutorial HW 4 due at beginning of tutorial Midterm 2 on Friday evening (up to Section 4.7) HW 5 due at beginning of tutorial We will post the homework assignments on the moodle site. These assignments will be marked and returned to you. In addition, we expect you to work on all the practice problems in Section 6. Without the experience you will earn by doing them you will be very unlikely to succeed in this course. 3 6 Practice problems In addition to the problems that you will turn in and be marked on, we expect that you will solve all the practice problems below. These problems will not be turned in or marked, but will provide you with the amount of practice you need to perform well on tests. When you have questions (and you will!) come see us during office hours or visit the Math Assistance Centre. We have divided the problems into two categories: core problems (the ones that we expect everybody to do) and suggested problems (to give you more practice if you are not confident enough after solving the core problems). You can also see full solutions to all of them in the instruction solution manual at MathXL (see section 1). Book Section Core Problems Suggested Problems 2.1 2.2 2.3 2.4 5, 1, 5, 1, 11, 13, 15, 21, 23, 27, 29, 31, 33, 37, 41 9, 13, 17, 21, 29, 35, 39, 43, 49, 55, 57, 61 11, 17, 23, 25, 27, 31, 33, 41, 51, 55, 59 7, 9, 13, 19, 23, 27, 31, 35, 43, 51, 55, 59, 71 2, 2, 2, 2, 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 9, 1, 5, 1, 1, 2, 3, 1, 3, 3, 11, 19, 23, 29, 33, 37, 41, 43, 45, 49, 53 7, 13, 19, 25, 31, 37, 43, 49, 53, 55, 61, 67 9, 12, 13, 26, 29, 48, 52, 61, 66 6, 9, 28, 30, 16, 45, 46, 55, 57–62, 64, 69 3, 7, 8, 9, 20, 25, 38, 47–52, 55 3, 9, 10, 14, 15, 18, 29, 36, 40, 41 8, 14, 15, 19, 21, 49, 63, 67, 69, 72, 73, 88 3, 5, 11, 13, 21, 25, 27, 35, 41, 51, 56, 60, 62, 65 5, 11, 17, 23, 25, 27, 35, 37, 43, 45, 53, 57, 59 7, 11, 15, 19, 21, 25, 33, 42, 43 10, 12, 20, 24, 28, 32, 36, 38, 40, 44, 48, 52 2, 8, 14, 20, 26, 32, 38, 42, 50, 52, 56, 63, 68 1, 11, 15, 17, 21, 23, 25, 37, 43, 51, 60 3, 7, 23, 31, 39, 47, 53, 63, 66 2, 6, 19, 23, 27, 29, 31, 39, 41, 44 1, 5, 7, 11, 16, 19, 20, 23, 25, 26, 31, 37 12, 20, 32, 34, 37, 50, 68, 87 7, 9, 33, 46, 52, 59, 70 4, 6, 14, 16, 20, 24, 32, 36, 38, 56, 60 4, 8, 10, 16, 20, 22, 26, 34, 36, 44 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.2 7, 1, 1, 3, 1, 2, 1, 2, 3, 17, 19, 21, 23, 29, 33, 41, 45, 49 3, 5, 9, 19, 23, 29, 35, 37, 41, 47, 61 3, 7, 11, 19, 23, 27, 31, 41, 48, 55 7, 9, 17, 23, 25, 29, 43, 49, 57 24, 26, 29, 32, 33, 35, 36, 45, 48, 63, 71, 76, 77–82 8, 11, 13, 15, 17–28, 35, 37, 42, 48, 53, 69 4, 5, 6, 8, 19, 21, 23, 26, 29, 35, 45, 63 3, 4, 7, 9, 13, 15, 16, 17, 19, 22, 30, 48 4, 7, 8, 17, 22, 27, 32, 34, 37, 39, 46, 56, 70, 76 8, 14, 16, 22, 24, 32, 34, 42, 48, 50 2, 6, 8, 18, 20, 30, 36, 40, 44, 46, 62 5, 8, 12, 20, 26, 29, 32, 42, 46, 50 4, 11, 12, 20, 24, 26, 28, 44, 52, 56 27, 30, 31, 34, 37, 41, 44, 46, 49, 50, 64, 73 3, 6, 10, 12, 15, 46, 47, 50 1, 2, 10, 13, 16, 22, 25, 39, 40, 42, 45 1, 5, 8, 10, 15, 18, 21, 24, 49 2, 13, 14, 15, 35, 38, 41, 47, 53, 57, 67 5.3 5.4 5.5 5.6 5.7 5.8 5.9 1, 1, 1, 1, 1, 1, 1, 4, 12, 14, 19, 26, 29, 33, 38, 46, 47 3, 11, 13, 19, 21, 31, 43, 45, 47 3, 5, 19, 27, 33, 39, 43, 45, 47, 65 13, 15, 19, 21, 33, 45, 47, 49, 55, 57, 67, 69 5, 11, 13, 15, 17, 19, 27, 31, 33, 47, 49, 53, 55, 59, 5, 7, 11, 13, 15, 19, 25, 35, 37, 39, 41, 43, 49 3, 7, 13, 17, 19, 21, 23 6, 2, 2, 2, 2, 2, 2, 4 8, 6, 6, 8, 12, 12, 12, 10, 16, 18, 22, 14, 22, 22, 26, 16, 24, 30, 28, 20, 26, 34, 32, 24, 28, 38, 34, 28, 30, 44, 40, 44, 32, 50, 50, 52, 34, 54, 58, 56, 7, 8, 16, 17, 28, 30, 49, 50 4, 14, 16, 18, 26, 36, 44, 46, 48 4, 14, 26, 30, 40, 44, 46, 48, 64 18, 22, 24, 36, 46, 48, 52, 56, 60, 65 6, 7, 9, 10, 22, 29, 32, 50, 52 6, 12, 14, 20, 24, 34, 40, 42, 44 4, 8, 14, 18, 20, 22, 24, 26 35, 58, 60, 60, 36, 42 60 72 68, 72 7 Appendix B - Departmental policies Final Examination Off-schedule final examinations (i.e., deferred examinations) are given only in accordance with the university policy as outlined in the Calendar. If you are unable to write a final examination due to illness, accident or family affliction, please refer to the following webpages for detailed instructions how to proceed: http://web.uvic.ca/calendar2011/FACS/UnIn/UARe/AcCo.html and http://web.uvic.ca/calendar2011/FACS/UnIn/UARe/DeSt.html Guidelines on Religious Observances 1. Where classes or examinations are scheduled on the holy days of a religion, students may notify their instructors, at least two weeks in advance, of their intention to observe the holy day(s) by absenting themselves from classes or examinations. 2. Instructors will provide reasonable opportunities for such students to make up work or missed examinations. 3. Students will cooperate by accepting the provision of reasonable opportunities for making up work or missed examinations. 4. The University Secretary’s Office will distribute a multi-faith calendar to each academic unit annually. Commitment to Inclusivity and Diversity The University of Victoria is committed to promoting, providing and protecting a positive, supportive and safe learning and working environment for all its members. Academic Integrity Cheating, plagiarism and other forms of academic fraud are taken very seriously by both the University and the Department. The University’s policy on academic integrity can be found at http://web.uvic.ca/calendar2011/ FACS/UnIn/UARe/PoAcI.html. Attendance The university Calendar states ’Students are expected to attend all classes in which they are enrolled.’ (see http://web.uvic.ca/calendar2011/FACS/UnIn/UARe/index.html). The courses in the Department of Mathematics are conducted on that basis. If you miss an announcement (information concerning midterms, corrections to assignment, etc.) because you did not attend class, you must accept the consequences of not having learned of the change. Math and Stats Assistance Centre Experts are available to help you at the Math and Stats Assistance Centre. For hours and locations visit http: //www.math.uvic.ca/~msassist/. This is a free service where you can go to work, on your own or in groups, and to discuss math and stats problems. The Centre is staffed with talented Teaching Assistants who are happy to discuss primarily first and second year course material with you. The Department of Mathematics and Statistics also has a list of private tutors available from our main office SSM A425. Calculators If a calculator is allowed in tests and examinations in a course offered by the Department, then the only acceptable calculator is the Sharp EL-510R. It may be purchased at the UVic Bookstore or elsewhere for about $10. In some courses, calculators are not allowed. 5