You will be expected to read sections of the book before they are discussed in class.
| Week | Dates | Monday | Wednesday | Friday |
|---|---|---|---|---|
| 1 | 1/13-1/17 | Read 0.1-0.2 | Due: 0.1.1.1-2, make a topological
map of the US using rectangular regions, similar to fig. 6 , p. 9 (map of US map of US ) |
|
| 2 | 1/20-1/24 | MLK | Finish 0.2 | Read 0.3, Due 0.1.[6.[1,2],8.2,9.1] |
| 3 | 1/27-1/31 | read 0.3.1-4 | read 0.3.5-9 | Due 0.[1.9.1,2.[1.[1,3],4.[1,2,4]]] |
| 4 | 2/3-2/7 | read 0.3 | Homework
Solutions |
|
| 5 | 2/10-2/14 | read 0.3 | redo 0.2.4.2&4, Prove that two
graphs are homeomorphic if and only if they are combinatorially equivalent (common subdivision) 0.2.4.3, 0.3.1.1 Solutions |
|
| 6 | 2/17-2/21 | read 0.4 | Homework
Solutions |
|
| 7 | 2/24-2/28 | Homework
Solutions |
||
| 8 | 3/3-3/7 | read 0.5 | Homework
Solutions |
|
| 9 | 3/10-3/14 | read 1.1, 1.2 | read Conway's
ZIP Proof |
1.2.[2.1,3.2,3.3]
What surface do you obtain by gluing the opposite edges of a polygon in 1. an orientation preserving fashion. 2. orientation reversing? Solutions |
| 10 | 3/24-3/28 | read 1, 2.1 | 1.3.8.2, 1.3.9.1, 1.3.9.3, 1.4.1.1, 1.4.2.1
Solutions |
|
| 11 | 3/31-4/4 | read 2 | 2.1.3.2,2.1.5.2,2.1.6.1,2.1.7.1
Find the general formula for an isometry of the hyperbolic plane (in the conformal unit disk model). Solutions |
|
| 12 | 4/7-4/11 | read 3.1,3.2 | 2.2.6.1, 2.2.7.1, 2.2.7.3
Construct the cover bouquet of two circles with fundamental group the free group F=<a,b>, corresponding to the subgroup <g^2, g in F> Solutions |
|
| 13 | 4/14-4/18 | read ch. 3 | 3.1.5.1,3.2.2.1,3.3.1.1, 3.3.2.1,3.3.2.2
Solutions |
|
| 14 | 4/21-4/25 | read 4.1 | 3.4.4.1,3.4.4.2,3.4.5.2,3.5.2.1
Solutions |
|
| 15 | 4/28-5/2 | read 4.2 | 4.1.6.1, 4.2.1.1,
A. Prove that the fundamental group of R^3-(two unlinked circles) is free of rank 2 B. Prove that the abelianization of the fundamental group of a knot complement is always Z. Solutions |
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