University
of Toronto at Mississauga
Fall 2019
Course
Outline
MAT 388H5F, Topics in Mathematics
- Instructor: Michael Yampolsky, Room DH-3022
- e-mail: yampol(at)math(dot)utoronto(dot)ca
- Lectures: Tue, 03:00 PM - 05:00 PM MN 1170
Thu, 01:00 PM - 02:00 PM IB 235
- Office
hours: Tue/Thu 11-12
- TA: Nishant Narechania, e-mail nishant(dot)narechania(at)mail(dot)utoronto(dot)ca
- TA's office hours: Mon 4-5pm in CC2110
- Textbook: An Introduction to Mathematical Biology,
by Linda J. Allen. Pearson, 2007.
- Computing
assignments: The computational side of the course will be
based on the use of a powerful computer algebra system Maple.
There is a wealth of information on Maple on the World Wide Web. An excellent starting point is http://www.mapleapps.com. It contains links to several on-line Maple tutorials. An extensive tutorial is found here.
- Using Maple at UTM: go to http://xenweb.utm.utoronto.ca/. If this is the first time you are using it, you will need to install Citrix desktop app on your computer. After that, use your UTORId to log in, and you will have Maple as one of the available apps on your screen.
Marking scheme:
- 36% three take home assignments.
- 20% Midterm, October 24, in class
- 44% Final Exam
IMPORTANT: Please note that there will be no make-up
tests, an undocumented absence will result in zero credit. No late assignments
will be accepted. A late hand-in will also result in zero credit.
Click here to see sample solutions for the midterm.
Click here to download the third assignment. Due November 28th, in class
Click
here for the suggested homework exercises.
Supporting materials.
- The Wikipedia page is a good resource on Fibonacci numbers.
- Right-click here to save a Maple worksheet with examples of second-order difference equations.
- Right-click here to save a Maple worksheet with an example of an age-structured population model for sea turtles.
- Right-click here to save a Maple worksheet with an example of using the cobwebbing technique for studying first-order nonlinear equations.
- Right-click here to save a Maple worksheet with an example of a SIR model.
- Right-click here to save a Maple worksheet with an example of a Nicholson-Bailey model.
- Right-click here to save a Maple worksheet with an example of a two-compartment pharmacokinetic model.
- Right-click here to save a Maple worksheet with examples of phase portraits of 2D non-linear systems.
- Right-click here to save a Maple worksheet with a model of heartbeat dynamics.
- Right-click here to save a Maple worksheet with a model of a nerve impulse.
- Right-click here to save a Maple worksheet with a model of an oscillating chemical reaction.
Plagiarism and academic honesty: Students are expected to
adhere to the academic regulations of the University as outlined in the
"Code of Behaviour on Academic Matters" which can be found in the UTM
Calendar.
The
work you submit must be your own. Plagiarism is a form of academic fraud, and
the University treats it very seriously. See the guide How
Not to Plagiarize.
IMPORTANT NOTE on PRE- and CO-REQUISITES: pre/co-requisites will be checked, and students without them will be removed from the course (they will receive an e-mail informing them of their removal from a course).
If a student believes that s/he does have the necessary background material, and is able to prove it (e.g., has a transfer credit from a different university), then s/he should submit a 'Prerequisite/Corequisite Waiver Request Form', which can be found by
clicking here.
The student should complete Part A of the form and submit it to the instructor.
Students must give a reason for requesting a waiver. Simply submitting the form does not mean they can stay in the course.