IME

Spring 2015 Problems


Week of January 21 - Introduction to Matrices. (Nick L. led the discussion.)


Week of January 28 - We played games involving graphs, and discussed strategies for these games. The handout and a description of the games can be found here (Megan led the discussion.)


Week of February 4 - "Seven Bridges and a Traveling Salesman: An Introduction to Graph Theory." The handout can be found here. (Katie led the discussion.)


Week of February 11 - We had a math battle! Students were given questions and we broke up into two teams. Each person was only allowed to present a problem once, but students were encouraged to work together with their teams. (Problems were chosen by Gleb.)


Week of February 18 - We had another math battle! We had a new set of problems, but the setup was the same as the February 11 Math Battle. (Problems were chosen by Megan.)


Week of February 25 - We discussed Pick's theorem. (Brian led the discussion.)


Week of March 4 - We discussed sequences and introduced everyone to the online encyclopedia of integer sequences (oeis.org). The handout can be found here. (Megan led the discussion.)


Week of March 11 - We celebrated an early Pi day by building spinning tops with zometools. We discussed angular momentum and centripetal force. (Megan led the discussion.)


Week of March 18 - No Math Circle due to spring breaks.


Week of March 25 - We had a Math battle! The problem set was new, but the setup was the same as the February 11 and February 18 Math Circles. (Megan chose the problems.)


Week of April 1 - In the spirit of April fools day, we looked at some false "proofs" and discussed techniques for determining whether a "proof" is true or false. The handout can be found here. (Katie led the discussion.)


Week of April 8 - We discussed the Tower of Hanoi problem. (Megan led the discussion.)


Week of April 15 - We celebrated Euler's birthday by looking at a few of his notable mathematical contributions. The handout can be found here. (Megan led the discussion.)


Week of April 22 - We discussed a number theory problem known as the "lightbulb problem." (Antonio led the discussion.)


Week of April 29 - We had a Math battle! The problems were chosen by the Math Circle volunteer team.


Week of May 6 - We discussed the 12 coins problem. The Math Circle volunteer team led the discussion.