A 20-sided die from Roman times.
MAT 160 Mathematical Problems and Games
Spring 2010
Index Course Description Homework|
A 20-sided 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 |
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| Feb 9 | Homework 3 | |
| Feb 16 | Be prepared for a quiz on "down-under" dealing and on NIM. No written homework. | |
| Feb 23 | Cretan-type mazes. See "Build your own labyrinth" | Devise an original 12-level Cretan-type labyrinth, draw it in rectangular form and if possible in rolled-up 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 (4D-cube) and that this graph is also non-planar. |
| 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 |