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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
9/131.4 Links and linking numbers See project
9/152.1, 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