Where and when:

We meet regularly on Thursdays from 12:00 to 1:30pm in Tilley 420. Everybody is welcome!
For enquiries, please contact Nicholas Touikan nicholas.touikan@unb.ca

Upcoming competitions

• The Putnam Competition, December 1 2018 (registration deadline: October 15 2018.)
• Science Atlantic Mathematics & Statistics Competition, October 12 2018.

Mistake in some of the posters

There was a typo in question on the poster. It should be:
Let \(f\) be a function with the following properties:

1. \(f(n)\) is defined for every positive integer \(n\);
2. \(f(n)\) is an integer;
3. \(f(2)=2\);
4. \(f(nm)=f(n)f(m)\) for all \(n\) and \(m\); and
5. \(f(n)>f(m)\) whenever \(n>m\).

Prove that \(f(n) = n\) for \(n=1,2,3,\ldots\).

Resources

Many of the following were taken from Barry Monson's page.

• Strange new things in math: Feature columns from the AMS.
• Handouts for background material.
  1. Polynomials
  2. Infinite Series, Pigeon Holes, Congruences, etc.
  3. Barycentric Coordinates, Ceva's Theorem, etc
  4. Invariance - what stays the same
  5. Angles and Circles
• Lists of problem sets:
  1. Stan Wagon's problem of the week.
  2. Old Putnam exams, with some answers
  3. Old APICS exams
  4. Math central at the University of Regina
  5. Old Science Atlantic sompetitions