Math 3F03
Advanced Differential Equations

FALL 2010 Homepage


Instructor: Gail S. K. Wolkowicz
Office: Hamilton Hall, Room 318
Office Hours: Tu 15:30-16:20 & Th 14:30-15:20 (see announcement Dec. 3 about special office hours before the final)
Telephone: (905) 525-9140, Extension 24808
Email:

wolkowic@mcmaster.ca

Homepage:

http://www.math.mcmaster.ca/wolkowic/wolkowic.html



|Handouts|Assignments|Practice Assignments|Term Tests|Grades| Announcements|Software|

Handouts

  • Course Information Sheet
  • Existence, Uniqueness, and Continuation Theorems (pdf format).
  • Jordan Canonical Form (pdf format)

  • Assignments

    To be handed in on the due dates given on the Course Information Sheet
  • Assignment 1 due Thursday, September 23, 2010.
  • Assignment 2 due Thursday, October 7, 2010. There was a typo in the definition of generalized eignenvectors in question 5 of Assignment 2. This is now the revised version. Your class notes should be correct.
  • Assignment 3 due Thursday, October 21, 2010.
  • Assignment 4 is due Nov. 16, 2010 (instead of Nov. 4).
  • Assignment 5 due Dec. 2, 2010, (instead of Nov. 25).

  • Practice Assignments

  • Practice Assignment 1 (pdf format)
  • Practice Assignment 2 (pdf format)
  • Practice Assignment 3 (pdf format)
  • Practice Assignment 4 (pdf format)
  • Practice Assignment 5 (pdf format)

  • Term Tests

    The confirmed dates and location are:
  • Term Test 1 will be held on Tuesday, Oct. 26, 2010 in T29/105, 16:30-17:30.
  • Term Test 2 will be held on Tuesday, Nov. 23, 2010 in T29/105, 16:30-17:30.

  • Grades

    Class marks are posted here by student number (last 5 digits). Please bring any discrepancy to your instructors attention as soon as possible and certainly before you write the final examination.
  • Class marks

  • Announcements

  • Dec. 12, 2010. The marking scheme for assignment 5 is posted above.

    Your class marks are posted above. Please bring any discrepance to your instructor as soon as possible, and certainly before the final examination, Dec. 21.

  • Dec. 7, 2010. The tutorial on Friday, Dec. 17 will be held in the usual room for the tutorials, BSB 136 (12:30-1:20).
  • Dec. 6, 2010. Note that the tutorial by our T.A. Diego will be held on Friday, Dec. 17 (NOT Dec. 10).
  • Dec. 5, 2010. Click here for a practice final exam.
  • Dec. 3, 2010. Solutions to Assigment 5 are now posted.

    Office hours next week will be as usual.

    Once assignment 5 has been graded, I will be posting your class marks, by ID number on this web page. Please make sure to check them and if there is a discrepancy, please let me know before the final exam, on Dec. 21.

    Extended office hours during the week of Dec. 13 and Dec. 20:

    • Tues. Dec. 14 and Thurs. Dec. 16: 2:00-4:00pm
    • Mon. Dec. 20: 1:30-4:30pm
    • Tues. Dec. 21: 11:00-noon and 1:30-3:00pm.

    Diego will lead a tutorial on Friday, Dec. 17, from 12:30-1:20, BSB/136 as usual.

  • Nov. 25, 2010. Assignment 5 is now posted above.
  • Nov. 24, 2010. I have posted the solutions to Test 2 and the marking scheme for Assignment 4 above.
  • Nov. 17, 2010. I have posted the solutions to Assignment 4 above.

    Your 2nd term test will be held on Tuesday, Nov. 23, 2010 in T29/105, 16:30-17:30. The emphasis of the test will be on the material covered in class since the last term test.

  • Nov. 16, 2010. I have posted a practice test 2 and its solutions above.

    Material in your text book related to the material covered in class can be found it Chapters: 1, 2, 3, 4, 5, 6, 8, and 9.

  • Nov. 7, 2010. Note that there were a couple of minor typos in the solutions to Test 1, that have been corrected. The marking scheme to Test 1 is posted above.

    There will be a tutorial on Friday at noon, Nov. 12. Our TA, Diego will not be able to hold a tutorial on Friday, Nov. 19 as originally planned. In class we will dicuss an alternative plan, e.g. I can hold the tutorial instead, and/or I can hold additional office hours on Monday, Nov. 22.

  • Nov. 1, 2010. Practice Assignment 4 and its solutions are posted above. Assignment 4 is also posted above. It is due Nov. 16, 2010.
  • Oct. 30, 2010. The marking scheme for Assignment 3 is posted above.
  • Oct. 28, 2010. Solutions to the term test 1 areposted above.

    Please note the new due dates for Assignment 4 (Nov. 16) and Assignment 5 (Dec. 2).

  • Oct. 24, 2010. Solutions to assignment 3 are posted above.
  • Oct. 19, 2010. I have posted a practice term test and its solutions above in the Tests section.
  • Oct. 17, 2010. Term Test 1 will be held on Tuesday, Oct. 26, 2010 in T29/105, 16:30-17:30.
  • Oct. 13, 2010. I have posted the marking scheme for assignment 2 above. It will be returned in class tomorrow.
  • Oct. 12, 2010. I have posted the solutions to Assignment 2, the questions for Assignment 3, and Practice Assignment 3 with its solutions above.

    There will be a tutorial this Friday and next Friday as you requested to help you prepare for the midterm test. If you have any requests about the format or what you would like reviewed that I should relay to the teaching assistant who will be leading the tutorial, please let me know by e-mail as soon as possible.

  • Oct. 4, 2010. There was a typo in the definition of generalized eignenvectors in question 5 of Assignment 2. Please omit the "det" in the definition in parts (a) and (b). Your class noTes should be correct. I have replaced the old version of the assignment with the revised version above.
  • Oct. 3, 2010. The marking scheme for Assignment 1 is posted above in the Assignments section. The graded assignments will be returned in class tomorrow.

  • Oct. 1, 2010. As students requested, there will be 2 tutorials held before the first term test. Since the first term test is scheduled for Tuesday, October, 26, 2010, the tutorials preceeding this test will be held on the Fridays of Oct. 15 and 22 in BSB/136 from 12:30-1:20 as was timetabled by the registrar). If you have some preferences about the format or what topics need to be covered, please let me know ahead of time so that I can let our TA know.

  • September 27, 2010. I have posted solutions to Assignment 1 and the questions for Assignment 2 above.

    We will discuss the handout posted above on Jordan Canonical form during the lecture tomorrow. Section 5.5 of the text book is related to what we are discussing in class, but the approach we are taking is a bit different.

    The Java appplet DFIELD (the software that I demonstrated in class for direction fields) was not working properly. However, it seems to be working properly now. Use sqrt(x) for the square root of x rather than x^(1/2).

  • September 26, 2010. I have posted Practice Assignment 2 and its solutions above.

  • September 17, 2010. The assignment drop off lockers for M3F03 have been set up next to HH/105. They are as follows:
    • C62: Surnames (A - L)
    • C63: Surnames (M - Z)
  • September 13, 2010. Assignment 1 and Practice Assignment 1 (with solutions) have been posted above.
  • September 11, 2010. The first class was held on September 9, 2010. Here is the Course Information Sheet distributed in class.

    Besides the topics listed in the item on August 30, 2010 below, you might also wish to review the concepts of basis and linear dependence and independence from linear algebra. I will be assuming that you already know the material in sections 5.1, 5.2, 5.3, and 5.4 of the text book.

    All clickable links on this page should now work. If there is a problem, please let me know as soon as possible so that I can fix it.

    Please give me your input with regard to tutorial format as requested in class as soon as possible.

  • August 30, 2010. Course announcements will be posted here regularly. I expect you to check this web page for announcements regularly.

    The first class will be held on Thursday, September 9, 2010.

    As preparation for the course, you should review eigenvalues and eigenvectors from your course in linear algebra (see Chapter 5 of the text sections 5.1-5.3), as well as your basic graphing techniques for graphing functions from your calculus course. Also read Chapter 1 of the text, sections 1.1 and 1.2. I also expect you to know how to solve the differential equations that you learned how to solve in Math 2C03, especially the linear and separable DEs.


  • Software

    WinPP, XPPAUT, Matlab, and Maple are of particular interest.

    Software for downloading (optional)


    Useful Links

    Instructor's Home Page | Department of Mathematics & Statistics | McMaster University

    maintained by Gail Wolkowicz
    last updated: Sept. 27, 2010