A 20sided die from Roman times. 
MAT 160 Mathematical Problems and Games

Index Course Description Homework 
Dates  Material covered  Homework 
Jan 26 
Some mathematical card tricks: 1. Mulcahy: Nos. 2, 3, 4, 5, 7 (6 done in class) 2. The Wizard's Clock. 
HW 1 (for 02/02) Students were assigned a trick to prepare. (Some tricks required two). Please be sure to understand the math! 
Feb 2  Homework 2
Solutions 

Feb 9  Homework 3  
Feb 16  Be prepared for a quiz on "downunder" dealing and on NIM. No written homework.  
Feb 23  Cretantype mazes. See "Build your own labyrinth"  Devise an original 12level Cretantype labyrinth, draw it in rectangular form and if possible in rolledup form. (Hand in). 
Mar 2  Counting mazes, Catalan numbers  Homework 5 
Mar 9  Catalan numbers, Pigeonhole principle  Homework 6 
Mar 16  Parity, Topology principle  Homework 7 
Mar 23  Graphs  Homework 8: write out the arguments that show that K(3,3) and K(5) are not planar. Show that K(5) can be embedded in the graph of edges of the tesseract (4Dcube) and that this graph is also nonplanar. 
Apr 6  Infinite sums I  (no homework this week). 
Apr 13  Infinite sums II  Homework 9 
Apr 20  Problems and paradoxes with probability  Homework 10 
Apr 27  Problems and paradoxes with logic  Homework 11 
Last modified: May 1, 2010