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.

Supporting materials.

• 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.