Math 372

Math 372: Course Outline
Many thanks to Dr. Gerda de Vries for preparing much of the material below.

Assignments

Assignment 1, due Sept. 21, 2012. Here are the solutions.

Assignment 2, due Oct. 12, 2012. Here are the solutions.

Assignment 3, due Nov. 2, 2012. Here are the solutions and supplementary files: whale simulation, whale picture for part b, whale picture for part d and infection simulation.

Assignment 4, due Nov. 16, 2012. Here are the solutions.

Extra practice problems

Some extra, assignment type problems.

    Solutions: the newspaper problem, the candy problem,the currency problem, and the elections problem.

A practice midterm. and solutions.

Midterm solutions.


Projects and presentations

You must choose the topic for your project (and send it to me via email) before November 2, 2012. The report will be due in class on December 3, 2012 and the presentations will be in class during the last two or three weeks of term.

Project requirements.

A list of project topics.

Evaluation forms for the report and presentation .

FGRS tips on preparing a talk.

More talk tips.

Even more talk tips (these are specifically for shorter talks).

The UofA Centre for Writers.

A (long) article on scientific writing.

Slides on writing in applied mathematics.


Supplementary lecture material

Sept 5: The modelling process

Sept 7, 10: The automobile problem, the solution and the Maple code.

Sept 12, 14: The whale population problem, the solution and the Maple code.

Sept 14, 17: The TV radiation problem, (with solutions) and the Maple code.

Sept 19: The personal computer problem, the solution and the Maple code.

Sept 24: The pig problem, the solution and the Maple code.

Sept 26: The carpenter problem, solutions and some notes on linear programming.

Oct 5: A maximization problem and solutions.

Oct 12: The bank problems and solutions.

Oct 15: Simulation of a bacterial culture.

Oct 19: The random walk problem.

Oct 22: The goby fish shrimp problem and simulations.

Oct 24: A simulation of the rabbits and wolves problem.

Oct 29: Some differential equations notes.

Oct 31: Notes on steady states.

Nov 5: Some simulations on ODEs using Euler's method.

Nov 7: The tank problems and numerical simulations.

Nov 9: Pendulum simulation.

Nov 14: Notes on stability of steady states in systems of ODEs.

Nov 16, 19: The supply and demand problem and a simulation.

Some computing resources:

A Matlab tutorial and some more advanced topics.

A Maple tutorial.