MAT136H1S Calculus I(B) (January – April 2016) Course Outline Department of Mathematics University of Toronto COURSE DESCRIPTION: This is a first-year Introduction to Integral Calculus course containing some applications to the Sciences. In general, theorems will be stated precisely, mostly without proofs but with an indication of the mathematical ideas involved. The topics to be covered in this course include: Antiderivatives, Integration and the Fundamental Theorem, Techniques of Integration, Applications (Areas, Volumes, Arc Lengths, etc.), Introduction to Differential Equations and their Applications (Predator-Prey Systems, Models for Population Growth, etc.), Sequences and Series, Taylor Series. PREREQUISITE: MAT135H1 or MAT125H1 To be eligible to enrol in MAT136H1S, you must have passed MAT135H1 or MAT125H1 in December or in a previous year (or have obtained special transfer credit for MAT135H1 or MAT125H1). If you enrol in MAT136H1S without having passed MAT135H1 or MAT125H1, you will eventually be removed from MAT136H1S. TEXT: Single Variable Calculus, Early Transcendentals version - 8th edition - by James Stewart (Publishers: Cengage Learning) REFERENCE: Student Solutions Manual for the above textbook (Most highly recommended!) Note: If you already have the 7th edition of the textbook and do not want to buy the new 8th edition, then it will be your responsibility to be able to borrow the new textbook from your friends once a week, in order to be able to at least look at the new problems (exercises). Note that only the new Student Solutions Manual has the solutions to the new problems, of course. If you do not have the textbook and want to buy the book, you should not buy either a new or used copy of the 7th edition, no matter how cheap it is. You should only buy the 8th edition. Note that the University Bookstore is selling the new textbook and solutions manual as a Special Package, at a special price. This Special Package also comes with a free third booklet, called "Calculus Test and Exam Prep", containing extra exercises (with answers and/or solutions), which may be useful for review purposes. Instead of buying the Special Package from the Bookstore, you can rent the Special Package from the Bookstore (which is much cheaper than buying the books). Please ask the Bookstore for details. page 1 LECTURES: All MAT136H1S students must enrol in one Lecture section. Every Lecture section has 3 hours of lecture per week. Lectures will start on January 11, 2016. If you need to enrol in a Lecture section, or if you want to change your Lecture section, please use your computer to go to ROSI/ACORN to enrol or make the changes. Do not come to the Mathematics Departmental Office. The last day to change a Lecture section is January 24, 2016. If you want to enrol in a Lecture section or change your Lecture section after the deadline of January 24, you must go to your College Registrar to make a special request. The MAT136 Lecture sections are as follows: Lecture section L0101 Time Location Instructor MP 102 Diana Ojeda-Aristizabal L0201 T9 WF10 MWF9 MP 102 Yinhe Peng L0202 MWF9 WB 116 SS2118 Anup Dixit L0301 MWF11 MP 203 Mohammad Niksirat L0401 MWF12 MP 102 Dmitry Faifman L0501 MWF1 MP103 Nikita Nikolaev L0601 MWF3 MP 203 Chen-Yun Lin L0701 TRF10 MP 202 Anthony Lam L0801 T9 R10 F12 BA3116 BA3116 BA3116 Qingyun Wang L0901 T12-2 R12 LM 159 LM 159 Emile LeBlanc L1001 W3 F2-4 MP 103 MP 103 Anthony Lam L1101 TWR9 MP 203 Mohammad Niksirat L1201 MWF10 MP 203 Kevin Luk L5101 R6-9 WB 116 Emile LeBlanc L5201 T6-9 SS2118 Jack Klys page 2 TUTORIALS: All MAT136H1S students must enrol in one Tutorial section. You will have to write Quizzes in the tutorials. Note that you can only pick a Tutorial time, e.g., T0101 (Monday 4 p.m.), T0401 (Friday 2 p.m.), etc., not the Tutorial section itself. If you need to pick a Tutorial time, or if you want to change your Tutorial time, you may do so by going to ROSI/ACORN, until Wednesday, January 20, 2016. On Sunday, January 24, an official Tutorial List, showing student numbers, Tutorial sections assigned and Tutorial rooms, will be posted on the MAT136H1S Website: www.math.utoronto.ca/lam/ Note that you must attend your official Tutorial section as shown on the Tutorial List on the MAT136H1S Website. You should remember your Tutorial Code, e.g., Tutorial M4A (Monday 4 p.m., section A), Tutorial T5C (Tuesday 5 p.m., section C), Tutorial R5E (Thursday 5 p.m., section E), etc. You will have to write your Tutorial Code and the name of your TA on your test paper. TUESDAY & THURSDAY EVENING LECTURE SECTIONS: Students enrolled in a Tuesday or Thursday evening Lecture section must also enrol in one of the Tutorial sections listed in the Timetable. Please see the previous paragraph for more information about Tutorial enrolment. LATE ENROLMENTS AND LATE CHANGES IN TUTORIALS: Tutorial change is not allowed once a student has been assigned to a Tutorial section. Exceptions will be given only to those students who have a verifiable time-table conflict with another course. Such students, as well as those who need to enrol in a MAT136H1S Tutorial after the January 20 deadline, must contact the course administrator Anthony Lam, either in person (office: BA6125) or by e-mail ([email protected]). NOTE: If you have a lab which ends at 5 p.m. and have a MAT136 Tutorial which starts at 5:10 p.m., you should make sure that you arrive at your Tutorial room on time! Your lab going overtime will NOT be accepted as an excuse for arriving late at your MAT136 Tutorial room. It may be best that you do not enrol in a MAT136 Tutorial which meets immediately after your lab. MORE INFORMATION ABOUT THE TUTORIALS: The duration of each Tutorial is 50 minutes. Tutorials meet once a week and will start the week of January 25, 2016. For the very first Tutorial, attendance is optional. Starting February 1, tutorial attendance is compulsory. The purpose of the tutorials is to give you a chance to ask questions. If you have difficulty with the lecture material or the Problem Sets, you should ask the TA in your tutorial. Each Tutorial starts 10 minutes past the hour and ends on the hour. You must arrive at your correct tutorial room no later than 5 minutes after the start of the tutorial, i.e. no later than 15 minutes past the hour. MARKING SCHEME: Quizzes 5% Term-test 30% Final Exam 65% page 3 PROBLEM SETS and QUIZZES: Problem Sets (consisting of problems from the textbook) are given on p.7. These do not have to be submitted for marking. However, students must do these weekly problems in order to prepare themselves for the Quizzes, the Term-test and the Final Exam. Answers to the even-numbered assigned problems will be posted from time to time on the MAT136 Notice Board on the ground floor of Sidney Smith Hall (please see floor plan on page 8). The purpose of the Quizzes is not to "prepare the students for the Termtest". Rather, they serve to encourage the students to do the homework problems and to come to the tutorials. Students should realize that the Quizzes give them an opportunity to earn 5 relatively easy marks. Each Quiz will consist of just one multiple-choice question. The Quiz questions will be very similar to the questions in the Problem Sets. All Quizzes (each lasting 5 to 10 minutes) are to be written in Tutorials during the weeks indicated on p.6. Quizzes are to be written at the beginning of the tutorial (at precisely 15 minutes past the hour). If you arrive at the tutorial room later than 15 minutes past the hour, i.e., later than 5 minutes after the start of the tutorial, you will not be allowed to write the Quiz and will then get a zero for that Quiz. Students must write their Quizzes in their official Tutorial. Anyone writing a Quiz in a wrong tutorial room will get a mark of zero. Students will be informed by their TA about the material to be covered in each Quiz. This information will also be posted on the MAT136 Website, one week before each Quiz. There will be a total of 6 Quizzes to be written. For each Quiz, you will get a mark of 0 or 1. For each of you, we will count only the best 5 out of the 6 Quizzes that you write. NOTE: You are not allowed to skip your MAT136 Tutorial and Quiz in order to write some other Test, e.g., BIO130 (whether the regular sitting or the early sitting of that Test), since lectures, tutorials and practicals take priority over other Tests. TERM-TEST: The Term-test will be held on Wednesday, March 2 (6:15 to 7:45 p.m.), 2016. Locations for writing the Term-test will be announced later. The Term-test (as well as the Final Exam) will have both multiplechoice and non multiple-choice questions. NOTE: You are not allowed to use any books, notes, calculators or scrap paper while writing the Quizzes, the Term-test or the Final Exam. MAKE-UP TEST: If you believe that you cannot write the Term-test because of special reasons, you should contact the course administrator Anthony Lam (office: BA6125, E-mail:[email protected]), to try to obtain special prior permission to skip the test. You must provide proper documentation. Such special permission will be given only for truly legitimate reasons (for example, you are on the university hockey team and have to go out of town for a competition the night of the Term-test). Permission will NOT be given for reasons such as: "I have been extremely busy recently because of personal reasons and do not have enough time to prepare for the test", "I have three different tests on three consecutive days", "I have other tests on the day of the MAT136 test (which however do not create a direct time conflict with the MAT136 test) ". Anyone who skips the Term-test without prior approval will get a zero for the test (unless absence is due to illness, properly documented). If you cannot show up for the test because of illness, you should submit your medical documentation to Anthony Lam no later than one week after the page 4 day of the test. All students who have missed a test because of illness or any other reason deemed legitimate by the course administrator will be required to write a make-up test. Information about the make-up test (date, time, location, format, etc.) will be posted on the MAT136 Website the week after the regular test. MATH AID CENTRES: There are various Math Aid Centres throughout the campus. The one in Sidney Smith Hall is located at SS1071. Most probably, it will start operating on January 18. The hours of operation will be posted on the door of SS1071. If you have Math problems, you should visit one of these Math Aid Centres, where Math tutors will be able to help you. MAT136 WEBSITE: You can go to the MAT136 Website by typing: http://www.math.utoronto.ca/lam Note that this is the only official MAT136H1S Website (even though your instructor may have his/her own website). Any important information concerning the course will be posted on this Website. Such information will also be announced in class by the instructors. ADMINISTRATIVE PROBLEMS? TERM-TEST CONFLICTS? If you have a problem of an administrative nature (e.g., term-test time conflict), you should contact the course administrator Anthony Lam, either by e-mail ([email protected]) or in person (office: BA6125). During the academic year, he will have regular office hours. If you have a term-test time conflict, you should contact Mr. Lam in early February, to make special arrangements. Note: Any e-mail message to Anthony Lam should contain the word “MAT136” in the Subject line. When you send e-mails to A. Lam, you should use your [email protected] e-mail account; otherwise, your e-mail may be treated as spam and deleted automatically by the Computer. If you don't have such an account, please set one up. It is free! Also, when Mr. Lam sends you a reply, it will be to your [email protected] e-mail address. You should NOT redirect your e-mail to another e-mail address (such as hotmail). Doing so usually means that his reply will never reach you! page 5 MAT136H1S (Jan. – April 2016) Schedule for the course Week of Jan. 11 to 15 Sections (from the textbook) to be covered 4.9, 5.1, 5.2 Additional notes Tutorial enrolment Jan. 18 to 22 5.2 (cont.), 5.3, 5.4 Jan. 25 to 29 5.5, 6.1, 6.2, 6.3 Feb. 1 to 5 6.5, 7.1, 7.2 Feb. 8 to 12 7.3, 7.4, 7.5 Last day to pick a Tutorial Time: Wed., Jan. 20 Tutorials start this week. Tutorial attendance is optional for this week. Quiz 1 to be written this week; all Quizzes to be held in tutorials Quiz 2 to be written this week Feb. 15 to 19 Reading Week (No Lectures this week) Feb. 22 to 26 7.8, 8.1, 9.1 No tutorials and no Math Aid Centre hours this week Quiz 3 to be written this week Feb. 29 to March 4 9.2 (Omit Euler's Method), 9.3 Term-test on Wed., March 2 (6:15 to 7:45 p.m.) Tutorials as usual this week, but no Quiz March 7 to 11 9.4, 9.6, 11.1 (The test papers will be returned to students in the tutorials this week.) Quiz 4 to be written this week March 14 to 18 11.2, 11.3, 11.4 Quiz 5 to be written this week March 21 to 25 11.5, 11.6, 11.7 March 28 to April 1 11.8, 11.9 Tutorials as usual this week, but no Quiz Quiz 6 to be written this week April 4 to 8 11.10, Review (Last day of Lectures and Tutorials: April 8) Tutorials as usual this week, but no Quiz (University closed on March 25, Good Friday) Note: 1. As per university regulations, the MAT136 Tutorials have priority over any tests (e.g., PHY131, CHM139, BIO130, etc.) held at the same time as the MAT136 Tutorials. You are not allowed to skip your MAT136 Tutorial and Quiz in order to write the regular sitting or the early sitting of another test. The instructor of your other course will have to let you write his test on another day or make some other adjustments, according to university regulations. 2. Students missing a Quiz because of medical reasons (properly documented) should contact Anthony Lam in BA6125 (before the day of the Quiz, if possible) for special consideration. In any case, supporting documents must be submitted to A. Lam no later than one week after the day of the Quiz. Anyone expecting to miss a Quiz because of very special non-medical reasons must obtain special approval from A. Lam before the day of the Quiz . page 6 MAT136H1S (Jan. – April 2016) Weekly Problem Sets Week of Jan. 11 to 15 Jan. 18 to 22 Jan. 25 to 29 Feb. 1 to 5 Feb. 8 to 12 Feb. 22 to 26 Feb. 29 to March 4 March 7 to 11 March 14 to 18 March 21 to 25 March 28 to April 1 April 4 to 8 Questions from the textbook (to be done at the end of the indicated week) Section 4.9 #3,5,7,17,21,31,33,36,39,43,45,53,61,63,75 Page 363 #1*,9* Section 5.1 #3,5 Section 5.2 #1,3,7,17,21,29,33,37,39,41,42,47,49,50,67,73,74 Section 5.3 #3,7,11,13,15,17,21,23,29,31,37,39,43,59,63,67,69,76,84 Section 5.4 #7,9,11,15,17,23,27,29,33,37,38,41,45,46,53,59,61,64 Section 5.5 #1,3,11,15,21,25,30,31,39,45,53,55,59,62,67,71,77,81,91 Page 425 #1*,5*,7* Section 6.1 #5,9,11,13,17,25,27,31,33,56 Section 6.2 #1,6,9,11,15,19,21,27 Section 6.3 #3,5,7,11,13,15,17,19,38,41 Section 6.5 #1,5,7,9,10,13,15,19 Page 468 #3* Section 7.1 #1,3,9,13,16,17,27,30,35,37,41,51,52,55,56,71 Section 7.2 #1,7,13,17,23,25,29,37,38,40,43,47,48 Section 7.3 #1,3,7,9,19,20,21,23,30,37 Section 7.4 #1,3,5,7,9,13,17,19,23,29,31,35,41,45,47,51,54,59,60,61,63 Section 7.5 #5,13,19,21,22,31,37,45,49,51,55,56,61,67,71,75 Section 7.8 #9,19,21,25,31,32,33,39,49,53,55,57 Section 8.1 #9,11,13,15,19 Section 9.1 #1,3,5 Section 9.2 #1,9,11 Section 9.3 #1,2,3,5,7,11,12,13,15,19,45 Section 9.4 #3,5,9,13 Section 9.6 #1,5,7 Section 11.1 #21,23,31,37,38,39,42,47,50,53,79 Section 11.2 #1,17,23,25,27,29,36,37,39,43,57,59,63 Section 11.3 #3,5,11,16,17,21,22 Section 11.4 #3,9,13,15,17,21,22,25,28,29,43 Section 11.5 #3,5,11,17 Section 11.6 #3,7,9,11,18,19,23,25,29,33,37,39,41 Section 11.7 #3,7,13,17,23,25,26,27,28,35,37 Section 11.8 #5,7,8,9,11,15,21,25 Section 11.9 #3,5,8,15,17,19,25 Section 11.10 #5,9,12,13,15,21,23,25,31,35,37,43,53,55,61,63,65,73,75,78 Note: All page numbers and problem numbers refer to the 8th edition of the textbook (Early Transcendentals version). Problems with a (*) are challenging problems. page 7 Gror:ncr Floor Plan of sid-,efr garl- s:n-itll To Nort}: Wing Tower of Sid-aey .smi th. EIaI l t.I N. LOEIBY of S]DNLY S[T]E 1 HALL Stairs St'a-irs sS Io81 APUS SSl"68 AsSU ss r og-7 I t sslogBlr=toro] SS loKS t sstot6I =tl'12] :l 'rt ss to83 I tssr"(1 ss lo'lt r{Fl-TH Atf) cr=HfRE t ss to'l3 Stairs S SI o - 1 1S S t"'l Supplemental MAT136 Notice Board (Homework soLutions will MAT136 NOTICE BOARD (All important information wiLl be posted here. ) be posted here.) page I

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