The Second Year Circle will meet on Thursdays from 5 to 7 PM in Loew Hall room 115.
| Session |
Homework Download |
Homework Summary |
| Session 1 (09.25.2014) |
Cutting (PDF) |
Homework 1: Cutting various objects and observing the results |
| Session 2 (10.02.2014) |
Pascal's Triangle (PDF) |
Homework 2: Exploring properties of Pascal's triangle |
| Session 3 (10.9.2014) |
Chromatics (PDF) |
Homework 3: How to properly color graphs given some number of colors |
| Session 4 (10.16.2014) |
Chromatics and Flows (PDF) |
Homework 4: Chromatic polynomials and making flows on a graph |
| Session 5 (10.23.2014) |
Flow Polynomials (PDF) |
Homework 5: Introductions to flow polynomials |
| Session 6 (10.30.2014) |
Duality (PDF) |
Homework 6: Graph duality and the connection between flow/chromatic polynomials |
| Session 7 (11.06.2014) |
Flat Folding (PDF) |
Homework 7: Origami, and some ways to fold flat vs. not |
| Session 8 (11.13.2014) |
Modules (PDF) |
Homework 8: Modular origami with PHiZZ and Sonobe units |
| Session 9 (11.20.2014) |
Block Design (PDF) |
Homework 9: Setting up games with k players so they play each other n times |
| Session 10 (12.04.2014) |
|
Math auction - no homework |
| Session 1 (01.15.2015) |
Dots and Boxes (PDF) |
Homework 11: Play dots and boxes with your friends (beat them) |
| Session 2 (01.22.2015) |
Nim (PDF) |
Homework 12: The game of Nim and other impartial deterministic games |
| Session 3 (01.29.2015) |
Grundy Numbers (PDF) |
Homework 13: Grundy Numbers (nimbers) applied to games other than Nim |
| Session 4 (02.05.2015) |
Partial Games |
Partial games -- order matters |
| Session 5 (02.12.2015) |
Permutation Patterns (PDF) |
Homework 15: Permutation Patterns for rearrangements of 1-2-3 |
| Session 6 (02.19.2015) |
No homework |
Introduction to Catalan Numbers |
| Session 7 (02.26.2015) |
Catalan Numbers (PDF) |
Homework 17: Catalan Numbers and their relation to various problems |
| Session 8 (03.05.2015) |
No homework |
Hats on heads |
| Session 9 (03.12.2015) |
No homework |
TBA |
| Session 10 (03.17.2015) |
No homework |
TBA |
| Session 1 (04.02.2015) |
No homework |
Rope twisting |
| Session 2 (04.09.2015) |
No homework |
More games |
| Session 3 (04.16.2015) |
No homework |
Choosing a pizza topping (a winner) |
| Session 4 (04.23.2015) |
No homework |
More voting strategies (means and oddities with them) |
| Session 5 (04.30.2015) |
Estimates of 2, 3, 5, 7 |
Sequence similarity (if you'd like the program, it is here |