This is the page where I post material related to the MATH 1001 course I am teaching in WINTER 2012.
These are some rough notes on various areas of mathematics. They're not as finished as I'd like, but I hope they will prove helpful summaries of what I said in the lectures.
Here is a detailed explanation of the essays and project to be completed, with suggestions for what could be included. The topics for later essays may be changed. In this case, submissions based on the original titles will still be accepted, but may require more research on your part.
Choose one essay for each submission date:
One of the topics of this course is the intellectual joy derived from mathematical problems. To give you a taste of this experience, I include a few example problems. These are not for credit, but I hope you will find the experience worthwhile, and helpful to your understanding of the issues in the course. Take as much or as little time as you like on them.
The problems are in no particular order, and vary a little in difficulty. Feel free to attempt whichever problems seem interesting, or whichever you think you have a better chance of approaching. The problems cover a variety of areas, but should all be accessible with just school-level mathematics.
Feel free to work together, or ask me for hints or advice, or to check your solutions.
Problems