Department of Mathematics

University of Toronto

MAT244S. ORDINARY DIFFERENTIAL EQUATIONS

97/98 winter session

Course Information


Cordial greetings

I believe that you are a student taking MAT 244S at Winter 97/98 session (Spring 98). Otherwise, why are you wasting your valuable time reading this?

Should you take MAT244?

Alternative

There is another course covering ODE: MAT267. Advanced Ordinary Differential Equations is supposed to be heavy-duty and rigorous course designated for mathematicians and those who heavily use ODE. If you are going to be one of them, MAT244 is not for you and my advice is to take MAT267F.

Prerequisite

MAT135Y/137Y/157Y and MAT223H/240H. Some topics from MAT224/227 will be used too and in this case a quick and dirty presentation will be provided.

Co-requisite

MAT235Y/237Y/239Y.

What's after?

Important courses MAT334 Complex Variables, MAT338H Introduction to Real Analysis and APM334H Differential Equations seem to be just for you, you can take rather funny course MAT335H. Chaos, Fractals and Dynamics. You should pobably avoid APM351Y. Differential Equations of Mathematical Physics and a bunch of 400-courses APM and MAT which require deeper knowledge of ODE. 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 Victor Ivrii

  • Section: L0501.
  • Other duties: course coordinator, markskeeper & webmaster (and the author of this text)
  • Phone: 978-4031
  • e-mail: ivrii@math.toronto.edu
  • Office: SS4057
  • Office hours: Tuesday 4-6 at MAC (Math Aid Center)

    TA: Orest Bucicovschi

  • Phone: 978-4794
  • e-mail: orest@math.toronto.edu
  • Office: SS4056
  • Office hours: Monday and Wednesday 1-2

    Contacting instructors and TA

    To have your mathematical questions answered you can contact any of us. There are some subjets (marks management, make-up) which require to contact course coordinator. Note that no real mathematical consultation will be delivered by e-mail or phone!!!
  • To reach Victor Ivrii 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.

  • How to reach Orest Bucicovschi: The best thing during the office hours; he is not necessary in his office in the other time; you can e-mail or phone him (but his office and phone are shared, so use the phone as the last reserve).

    Textbook and Matherial

    Elementary Differential Equations and Boundary Value Problems, Boyce & DiPrima, 6th edition, publisher - John Wiley & Sons. Note, that there are two books: Elementary Differential Equations and Elementary Differential Equations and Boundary Value Problems. Second book is a bit larger and actually we don't need extra material but the difference seems to be about 6 bucks only and it gives a better value.

    We will be covering Chapters 1-9. 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 calculus and linear algebra is essential in this course.

    Evaluation

    There will be 2 quizzes, 45 min. each of the equal weight (10%) of the final mark each, together making 20% of the final mark worth, 4 Graded Home Assigments of the equal weight (5%) of the final mark each , together making 20% of the final mark worth, Midterm Test, 20% of the final mark and Final Exam will be 40% worth. Your final mark will be just a sum of your scores (no belling or bulling). Some of these tests will contain Bonus problems to give you an opportunity to show how smart you are and earn extra points. If your rescaled examination mark will be higher than this sum, you will get the rescaled examination mark. But it doesn't happen often and you should not rely upon this chance!!! Quizzes will be in schedule while Midterm Test (2 hours) will be not.

    Make-up

    If you missed the quiz or home work due to really good reasons (from my point of view!) you should contact me 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 my discretion). If your case is not so noble or if you failed to contact me 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 my discretion again). Further, you can make-up up one quizzes you didn't do well with 20% reduction of your second score (you should ask in 7 days after return of the papers). If your first score was higher, it will not be changed. Remember, however, that this is a heavy load for instructor and TA and my intention is to make you to learn more rather than to improve your mark. The grading of quizzes, term tests and home works is done by TA and you should contact him/her first if you have related questions.

    If you came to course later

    Contact me as soon as possible!

    If you have a problem

    Contact me 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 quizzes 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".

    Quizzes and Graded Home Assignments

    Make-up will be only on the following week. Students, having a good reason to miss the quiz and make-up should be ready to submit the proof.

    Final Exam

    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

    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 (to be sure that I make a correction). I can correct TA errors in mark calculation only; for grading discussions you must contact TA. 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 some time 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. You can see how it looked like one year ago.

    M.A.C. at Sidney Smith

    This M.A.C. means Math Aid Centre. 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 244S notice board inside the above M.A.C.


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