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Math 4096: Schedule and Homework Assignments
The schedule below will be gradually filled out as
the class progresses.
Day |
Section |
Topic |
Homework/Note |
8/30 | 1.1 | The origins of knot theory | |
9/1 | 1.2 | Knot composition | Homework
1, due 9/8
| 9/6 | 1.3 | Reidemeister moves | Bring colors next time
| 9/8 | 1.5 | Tricolorability | Homework
2, due 9/15
| 9/13 | 1.4 | Links and linking numbers | See project
| 9/15 | 2.1, 2.2 | Tabulation and Dowker
notation | Homework
3, due 9/22
| 9/20 | 2.4 | Knots and planar graphs | Tell me groups for
project by 9/22
| 9/22 | 3.1, 3.3 | Crossing number and unknotting
number | Homework
4, due 9/29
| 9/27 | 2.3, 3.2 | Rational knots and bridge number |
| 9/29 | | no class |
| 10/4 | 4.1 | Surfaces and Euler characteristic | Bring tape &
scissors next time
| 10/6 | 4.1, 4.2 | Surfaces with
boundary | Homework
5, due 10/13
| 10/11 | 4.2, 4.3 | Surfaces in knot theory | Project topics by today
| 10/13 | 4.3 | The genus of a knot | Homework
6, due 10/20
| 10/18 | 5.1 | Torus knots |
| 10/20 | 5.2 | Satellite
knots | Homework
7, due 10/27
| 10/25 | 5.3 | Hyperbolic surfaces |
| 10/27 | 5.3 | Hyperbolic knots | Homework
8, due 11/3
| 11/1 | 5.4 | Braids |
| 11/3 | 5.4, 6.1 | Braid groups, bracket
polynomial | Homework
9, due 11/10
| 11/8 | 6.1 | Jones polynomial | Draft of paper due today
| 11/10 | 6.1, 6.2 | Jones polynomials of alternating links |
Homework
10, due 11/17
| 11/15 | 6.2 | Jones polynomials and crossing number |
| 11/17 | 6.3 | Alexander polynomials |
| 11/29 | | Presentation: Knot theory and DNA |
See review sheet for final exam
| 12/1 | | Presentation: n-colorability |
| 12/6 | | Presentation: Knots and links in graphs |
| 12/8 | | Presentation: Knot-based cryptography | Papers and
individual reflection due
| 12/13 | | Review session, 4:00 PM |
| 12/15 | | Final exam, 1:00 - 3:00 PM |
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Last modified: Wed Jan 6 15:35:22 PDT 2010
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