# Off on a Tangent 18.02

### Problem-solving colloquium coming soon

• Title: Math Puzzles and Challenges
• Speaker: Dr. Tim Pennings, Davenport University
• Time/Location: Tuesday, October 1, 2019 at 11:00 AM in VanderWerf 102

Abstract: Polya, or was it Rudin, said that the heart of mathematics is solving problems. So put away your text books filled with useless definitions and theorems, put on your game face, and come get ready to be stumped by – and perhaps solve – some surprising math puzzles and challenges. Not for the weak of spirit.

### Mathematics students enjoy the fall social

Students and professors enjoyed the recent mathematics fall social. Ice cream sundaes were served and everyone participated in the game “Would you rather…” Once the participants figured out their answers, they had to find others with matching answers. Below are some of the groups of “matchers” that were formed.

### Problem Solvers of the Fortnight

Congratulations to Meredith Bomers, Josiah Brett, Anna Carlson, Jonathan Chaffer, Adair Cutler, Adam Czeranko, Kara Dahlenburg, Ryan DeWitt, Emily Dee, Liam Diephuis, Eli Edwards-Parker, Blake Engler, Reilly Herman, Jackson Krebsbach, Peter Le, Cory McGregor, Kyle Magennis, James Mandeville, Matthew Nguyen, Liam Orndorff, Eleni Persinger, Danielle Reiber, Peter Ruffolo, Hugh Thiel, Shane Vaara, Bethany VanHouten, Danni VanIwaarden, Fangtao Wang, and Kamaron Wilcox — all of whom correctly solved the Problem of the Fortnight in the last issue of America’s premiere fortnightly mathematics department news blog.

### Problem of the Fortnight

Find positive numbers n and a1a2 , . . ., an  such that  a1a2 + . . . +  an = 1000 and the product (a1)(a2). . . (an) is as large as possible.  (Hint: Try replacing 1,000 in turn by 2, 3, 4, 5, 6, 7, 8, 9, … and search for patterns that emerge.)

Drop your solution in the Problem of the Fortnight slot outside Professor Mark Pearson’s office, room 212 in the Werf, by 3:00 p.m. on Friday, September 27.  As always, be sure to include your name and the name(s) of your math professor(s) — e.g. Stew Dios, Professor Tott — on your solution.  Good luck and have fun!