Department of Mathematics

University of Toronto

MAT237Y. ADVANCED (MULTIVARIABLE) CALCULUS

2000/2001 winter session

Course Information


Cordial greetings

I believe that you are a student taking MAT 237Y at winter 2000/2001 session. Otherwise, why are you wasting your valuable time reading this?

Official Description

Remark

In some University documents this course is referred as "MULTIVARIABLE CALCULUS" and in other as "ADVANCED CALCULUS". In your future resume you can call it even ADVANCED MULTIVARIABLE CALCULUS.

Should you take MAT237?

Alternatives

There are two other similar courses: MAT257. Analysis II is a heavy-duty course designated for mathematicians and specialists in a very mathematical theoretical physics. If you are going to be one of them, MAT237 is not for you. Another course MAT235. Calculus II is MAT237 Lite but there is no very big difference. So, if you need to know mathematics seriously, but not as professional, MAT237 is your course. There is no difference between MAT237 and MAT239 offered in the previous years.

What's else?

There are other mathematical 200-courses on the same mathematical level as our: MAT223/224 Linear Algebra and MAT244 Ordinary Differential Equations. We use a lot of Linear Algebra in our course but MAT223/224 is not prerequisite or corequisite: instead a quick and dirty exposition of Linear Algebra is given in the first weeks. On the other hand, MAT244 uses a lot from our course. My recommendation is to take all three of them (MAT223/224 is rather a one year course separated in two term courses).

Prerequisite

Officially, MAT135Y(80%) or MAT136Y MAT137Y or MAT157Y. In the real life, students with two first courses are in trouble and should work really hard. On the other hand, students with MAT157Y have too deep fundament for a rather humble building we a going to construct.

What's after?

Important courses MAT334 Complex Variables, MAT338H Introduction to Real Analysis and APM334H Differential Equations (MAT235 doesn't provide a good base for them) seem to be just for you, you can take rather funny course MAT335H. Chaos, Fractals and Dynamics. You cannot take heavy- duty course MAT357Y. Analysis III and may be you should avoid MAT363H/MAT364H. Differential Geometry I/II (especially the second one), APM351Y. Differential Equations of Mathematical Physics and a bunch of 400-courses APM and MAT. So, if you did well in MAT157 you'd better think hard over 300- and 400- courses before coming here rather than in MAT257. And there is a bunch of rather unrelated 300- and 400- courses (but again, even if courses are not related, some combinations look really funny).

Instructors:

Professor Felix Recio

  • Section: L0501
  • Phone: 978-4031
  • Phone: 978-2438
  • e-mail: recio@math.toronto.edu
  • Office: NC064
  • Office hours: TBA
  • To reach FR: TBA
  • Professor Victor Ivrii

  • Section: L0101.
  • Other duties: course coordinator, markskeeper & webmaster
  • Phone: 978-4031
  • e-mail: ivrii@math.toronto.edu
  • Office: SS4057
  • Office hours: Mon 12:00-1:30
  • To reach VI you can use e-mail (keeping your messages as short as possible) or phone. You can come in my office as well. You need to look at my time-table to make sure that I am here and you'd better come during my office hours: I will not kick you out if you come in another time but I can be absent or really busy.
  • TA

    All TAs are graduate students.

    TA: Lionel Nguyen Van The

  • Phone: TBA
  • e-mail: lnguyen@math.toronto.edu
  • Office: TBA
  • Office hours: TBA
  • To reach LNVT: TBA
  • TA: Fridolin Ting

  • Phone: TBA
  • e-mail: fting@math.toronto.edu
  • Office: TBA
  • Office hours: Tue, 3-4 at SS 6027
  • To reach FT: TBA
  • TA: Ramin Mohammadalikhani

  • Phone: TBA
  • e-mail: ramin@math.toronto.edu
  • Tutorials:
    • Mon, 4-5 at SS MAC
    • Thu, 5-6 at ViC MAC
  • To reach RM: email
  • TA: Joon-Hyeok Song

  • Phone: TBA
  • e-mail: song@math.toronto.edu
  • Office: TBA
  • Office hours: TBA
  • To reach JHS: TBA
  • TA: James Coleman

  • Phone: TBA
  • e-mail: coleman@math.toronto.edu
  • Office: TBA
  • Office hours: TBA
  • To reach JC: TBA
  • TA: Ana Maria Savu

  • Phone: TBA
  • e-mail: ana@math.toronto.edu
  • Office: TBA
  • Office hours: 12-13 SSMAC
  • To reach AMS: TBA
  • Contacting instructors and TA

  • To have your mathematical questions answered you can contact any of us. Note that no real mathematical consultation will be delivered by e-mail or phone!!!
  • Administrative questions should be directed to instructors.
  • `"Why I got this mark for my for my GHA, Term Test'' questions should be first addressed to TA who graded it, and only if you cannot come to resolve the problem with him/her, you should ask instructor.
  • Marks management is a responsibility of Victor Ivrii
  • Please, note that your email should be short and plain ASCII: RTF or HTML tags or encodings are rude and stupid. Note, that ``calling back'' is very time consuming; so don't bother to leave messages with this request.

    Textbook and Matherial

    Vector Calculus, Marsden & Tromba 4th edition, publisher - Freeman. Take care to look at correct problem sets for no-credits home work. There is an (optional) Study Guide for Vector Calculus by K.Pao & F.Soon containing major formulae and solutions to selected problems. It could be useful but it is not really necessary and I didn't order it.

    We will be covering all the length of Marsden & Tromba. Some of the starred sections which are technical will not be done in depth (or even skipped) but we don't mind if you read them. In general the emphasis in this course will be on solving problems rather than on theory, but problem solving based on a solid grasp of the concepts involved, rather than cookbook recipes. You will also be expected to know the statements of the theorems that will be covered in class and be able to explain what they mean intuitively. You will not be asked to prove theorems but some of the problems will be of a theoretic nature, asking you to prove something, usually as a straight forward application of some of the theorems.

    An understanding of some linear algebra and the ability to visualize and draw (perhaps crudely) 3-dimensional figures is essential in this course. We will be covering this material in chapter 1 but if you have not had linear algebra before you will have to work especially hard on this chapter in order to become comfortable with the ideas soon.

    Tutorials

    There is no tutorial in the schedule. However, we will try to arrange them and they will be announced as soon as possible.

    Evaluation

    There will be 6 GHA (Graded Home Assignments), of equal value, 2% of the final mark each (12% together), 3 term tests, 2 hours each (out of regular classes hours, with two sittings 4-6 and 6-8) of the equal value 16% of the final mark each (48% together), and the final exam which contributes 40% of the final mark.
    Fall Spring
    GHA 1 (Sep) 02% GHA 4 (Jan) 02%
    GHA 2 (Oct) 02% GHA 5 (Feb) 02%
    TT 1 (end of Oct) 16% TT 3 (Feb) 16%
    GHA 3 (Nov) 02% GHA 6 (March)02%
    TT 2 (Dec: Winter Exam Session) 16%
    Subtotal: 38% Subtotal: 22%
    Final Exam (Spring Exam Session) 40%
    (See TestSchedule and News for exact dates when they will be available\)

    Make-up

    If you missed the test or home work due to really good reasons (from instructor' point of view!) you should contact us as soon as possible (phone and e-mail are OK) and make-up will be arranged if possible. Otherwise, your mark will be rescaled (subject to instructor's discretion). If your case is not so noble or if you failed to contact instructor promptly (one week after test or dead-line is OK but this period could be extended in some cases) you will get a make-up or rescaling with 10% or 20% reduction of your score for this test (subject to instructor's discretion again). The grading of GHAs and Term Tests is done by TA and you should contact them first if you have related questions.

    If you came to course later

    Contact instructor as soon as possible!

    If you have a problem

    Contact instructor as soon as possible! Don't let you problem grow-up until it will be mature and hard-to-solve!

    Problem Sets

    The problem sets (usually consisting of problems from the textbook) will be assigned weekly. These problems will be not submitted for marking. Students must do these weekly problems in order to prepare themselves for the GHAs and term tests. We will try to provide answers for them on the same. Remember: it is very important to solve all the suggested problems. You can trap yourself frequently applying the rule "I know how to solve this problem, ergo I shouldn't waste the time solving it".

    Final Exam

    Usually at the end of April. The procedure is completely determined by University policy. No frills! No early sitting, make-up and you will not get your papers back unless you pay some fee (instructors don't get their fair share; actually they didn't get any share of this fee at all)

    Solutions

    will be provided after the tests shortly (including final exam).

    Marks management

    Is done by Professor Victor Ivrii

    In our records we don't distinguish between day and night students. As soon as your tests are graded I put the marks in the Master-File (or rather bunch of them) in my computer. Further, I put marks for every final exam problem in the Master-File. Note, that only this file is used for the final mark calculation. But errors are possible: TA can make problems grading errors, I have yet to see TA who is proficient in arithmetics and I make typing errors. To find errors you must browse your marks in my office or on-line; further you must get your paper, check TA marking, arithmetics and compare master-file mark with the real one. To correct the error you should bring the paper to my office (SS 4057; to be sure that I make a correction). I can correct TA errors in mark calculation only; for grading discussions you must contact TA first. Note, that you should get your paper and check it and browse your mark-on-line!

    Marks-on-line

    You can browse your personal marks via WWW (URL is where yourpass is some special password. By the default, it is your stutent' ID number. If you want a better privacy protection you will get a really hard-to-crack yourpass coming to my office. I hope that you will neither give yourpass to anybody nor put it on your home page as one whiz kid did few years ago. Note, that the file you are browsing is not a master-file but it is generated from Master-File by some script I run only after major changes of the Master-File. So, any correction of your mark in my master-file affects marks-on-line with some delay. Anyway, this file-on-line is not used for any calculation. And again browsing marks doesn't mean that you need not to get and check your real paper: you still must: first, you need to read TA's notes (which can be really useful); second, you can discover marking and copying errors. Further, knowing your score for each final exam problem you can decide if you really want to pay to recover your work.

    M.A.C. at Sidney Smith

    This M.A.C. means Math Aid Centre [joke] rather than Mess And Confusion [/joke]. It is open during the week, starting the week of October 1. The hours of operation and location will be announced. Any important information concerning the course will be posted on the MAT 237Y notice board inside the above M.A.C.

  • This documents URL is http://www.math.toronto.edu/ivrii\/Teaching/MAT237G.html

    JumpStation | Tests Schedule | Problems | News