| Due Date | Chapter | Problems |
|---|---|---|
| 1/23 | 1.1 | 6, 8, 12, 15, 21, 23, 26, 30, 32, 35, 40, 42, 45, 46, 52 |
| *** | Visit one of the talks by job candidates or a colloquium and submit your reactions on OneDrive. Schedule of talks is available on OneDrive. | |
| 1/30 | 1.2 | 2, 7, 8, 10, 12, 16, 20 |
| 1.3 | 7, 8, 12, 13, 14 | |
| 2/6 | 1.4 | 4, 6, 8, 12, 13, 19, 20 |
| 1.5 | 2, 4, 6, 9, 10 | |
| 1.6 | 2, 6 | |
| 1.7 | 4, 6, 7, 8, 12, 14 | |
| 1.8 | 4, 6, 8, 11, 13, 14 | |
| 2/13 | 2.1 | 1-15 |
| 2.2 | 7, 8, 11, 14 | |
| 2/20 | 2.3 | 4, 7, 13 |
| 2.4 | 2, 3, 4 | |
| 2.5 | 2, 4, 8, 10 | |
| 2.6 | 2, 4, 10, 13 | |
| 2.7 | 5, 6, 9, 10 | |
| 2.9 | 4, 7, 9 | |
| 2.10 | 2, 4, 6, 10, 11 | |
| 3/6 | 5 | 10, 18, 25, 30 |
| 6 | 2, 4, 6, 10 | |
| 3/27 | 7 | 5, 8, 10, 14, 18, 22, 32 |
| 4/3 | 8 | 8, 10, 14, 16, 22, 26 |
| 4/10 | 9 | 6, 8, 10, 14, 26, 34 |
| 4/17 | 10 | 4, 8, 10, 16, 20, 33 |
| 5/1 | Graphs | Draw all trees on 5 vertices (up to isomorphism) |
| Draw all connected graphs on 4 vertices (up to isomorphism) | ||
| Draw all graphs (connected or disconnected) on 4 vertices (up to isomorphism) | ||
| Verify that our theorems from class are satisfied for the examples you drew above. | ||
| Connected Spaces | For each of the following subspaces of R^n determine the interior points,
whether or not the set is open, and whether or not the set is connected. Justify your answers as much as you can. a. {1/n | n \in N}. b. {(x,y) | x^2+y^2 = 1} c. R^3-{0} | |