# Spring 2013 Problems

Week of January 9 - We discussed problems on combinatorics. Here is the worksheet we used. (Megan led the discussion.)

Weeks of January 16 and January 23 - We discussed logic problems inspired by the short story "The Lady or the Tiger?" (Amy led the discussions.)

Week of January 30 - We discussed binary mathematics. (Aalok led the discussion.)

Weeks of February 6 and February 13 - We discussed Fermi problems. (Gleb led the discussions.)

Week of February 20 - We discussed problems involving monovariants. Here is the worksheet we used. (Michael led the discussion.)

Week of February 27 - We discussed the proof technique of mathematical induction. (David led the discussion.)

Week of March 6 - We celebrated an early pi day with some pi related activities and apple/mixed berry pie. (Steven led the discussion.)

Weeks of March 13 and March 20- No Math circle due to spring breaks.

Week of March 27 - We discussed the towers of Hanoi problem and how it can be graphically represented. Here is the worksheet we used. (Megan led the discussion.)

Week of April 3 - We discussed Fibonacci problems. Here is the worksheet we used. (Steven led the discussion.)

Week of April 10 - We built hyperboloids out of bamboo skewers and rubber bands to illustrate an example of a ruled surface. We adopted the activity found at this website. (Aalok led the discussion.)

Week of April 17 - We had guest speakers Brian Lapham and Bruce Bayly discuss the history of catapults, how they work (including some of the math, but not all of it!), and how to build one that can throw a four pound pumpkin. They also discussed safety precautions to be aware of while building a pumpkin catapult. The third Annual Tucson Pumpkin Toss will be held on October 13, 2013. Students of all ages are encouraged to build a catapult and enter the competition! For more information, visit http://www.tucsonpumpkintoss.org/.

Week of April 24 - We worked with a brachistochrone curve, which is a curve of fastest descent, built by a graduate student and a professor at the UofA. This activity gave students an introduction to what calculus is and why it is useful. (Steven and David led the discussion.)

Week of May 1 - No Math Circle due to UofA finals.

Week of May 8 - We talked about the speed of light and used a microwave together to calculate this speed. (Megan and Shane led the discussion.)