MAT267F Ordinary Differential Equations (Winter 2018)
- Professor Eckhard Meinrenken
e-mail: mein at math.toronto.edu
- office: BA 6112
office hours: Tuesday 4-5, and by appointments
- Tuesday 13:00-14:00, Thursday 13:00-15:00 SF1105
- Kenneth Chiu
Email: kennethct.chiu at mail.utoronto.ca
Office hours: TBA
- Malors E Espinosa Lara
Email: srolam.espinosalara at mail.utoronto.ca
Office hours: TBA
Morris Tenenbaum, Harry Pollard: Ordinary Differential Equations, Dover.
We won't be following the textbook very closely, but I may assign some readings and/or problems. An electronic version of the textbook is available through the UofT library.
Preliminary Course Outline:
Course Marking Scheme:
Homework 20%, Midterm 30%, Final 50%. More details TBA
The midterm exam is scheduled for March 8, during class time, in EX300/310.
Policy for the term tests, quizzes and final exam: No tools or unauthorized aids are allowed. (This includes cell
phones, calculators, and other electronic gadgets.)
There will be no makeup quizzes or tests. For excused absences (e.g. doctor's note), the missed work is prorated based on the remaining
Please familiarize yourself with the University policy regarding
January 4: start of classes
Feb 20-23: Reading Week (no classes)
March 8: Midterm Exam (during class time, but different location: EX 300/310)
March 14: Last day to drop course from academic
record and GPA
April 4: end of classes
Request for Volunteer Note Taker:
Accessibility Services is asking for a volunteer note taker for this course. All you have to do is attend classes regularly & submit them consistently.
Step 1: Register Online as a Volunteer Note-Taker at
this site .
Step 2: Select your course and click Register
Step 3: Upload your notes after every class
Email email@example.com or call 416-978-6186 if you have questions. Volunteers may receive co-curricular credit or a certificate of appreciation.
Homework: We will use crowdmark for this course, hence you'll
receive your assignments electronically via crowdmark email, and then
upload your solutions to their site. If you don't receive your
homework, or have trouble with uploading, please send me an email.
As you will see from the instructions given by crowdmark, you can hand-write
the solutions (use a different page for each problem), and then scan them
or take a picture to create a pdf or jpg file for uploading. (A separate set of pages for each problem.) Scanning is available for
at many UofT libraries. Also, I have learned that there are now
apps for smartphones to scan documents, generating a pdf that's much
better quality than a jpg picture. Make sure that whatever you upload is readable -- you can use the preview option on crowdmark for that. According to the crowdmark instructions, you can double-check and resubmit anytime before
the due date.
you are very much encouraged to type the solutions using LaTeX .
you're unfamiliar with LaTeX, here is a
with some instructions, produced using LaTeX,
and here is its
source file . You can rightclick to
downlad the source file, rename it (just make sure it ends on .tex), and
The homework as well as the midterm, will also be returned electronically. If you have questions or concerns regarding the markings, you should first contact the TA who marked the problem (which may not be the TA from your tutorial), by sending him an email. (Be sure to include your crodmark link.) If the mark gets changed you should let me know (email) so that I can enter the information.
Handouts and additional materials:
MAT267 website by Dmitry Panchenko (includes lecture notes)
Online notes from
Direction field plotter
Another direction field plotter, by Darryl Nester. (When using his plotter, it's best to switch from `Euler' to `Runge-Kutta' -- it gives much better results!
Plotting vector fields in general is not so easy, since the lengths of arrows tend to interfere with each other. The following vector field plotter
gets around this by using colors and speeds. Here are some
examples produced with this software.
A physics demonstration of
An example of resonance
Another example of resonance