Day	Section	Topic	Homework/Note
1/14	1.1	The origins of knot theory
1/16	1.2	Knot composition	Homework 1, due 1/23
1/21	1.3, 1.5	Reidemeister moves, tricolorability
1/23	1.4	Links and linking numbers	Homework 2, due 1/30
1/28	2.1, 2.2	Tabulation and Dowker notation	See project
1/30	2.4	Knots and planar graphs	Homework 3, due 2/6
2/4	3.1, 3.3	Crossing number and unknotting number	Tell me groups for project by 2/6
2/6	2.3, 3.2	Rational knots and bridge number	Homework 4, due 2/13
2/11	4.1	Surfaces and homeomorphism	Bring tape & scissors today
2/13	4.1, 4.2	Surfaces with boundary; Euler characteristic	Homework 5, due 2/20
2/18	4.2	Surfaces in knot theory
2/20	4.3	The genus of a knot	Homework 6, due 2/27. Project topics by 2/27.
2/25	4.3	Additivity of knot genus
2/27	5.1, 5.2	Torus knots, satellite knots	Homework 7, due 3/12
3/10	5.2, 5.3	Satellite knots, 3 types of knots
3/12	5.3	Spherical and Hyperbolic geometry	Play with Torus games and hyperbolic games
3/17	5.3	Hyperbolic surfaces, hyperbolic knots
3/19	5.4	Braids; Vogel's algorithm for braiding	Homework 8, due 3/26
3/24	5.4	Braid groups	Paper draft due today or tomorrow
3/26	6.1	Bracket polynomial	Homework 9, due 4/2
3/28	6.1	Jones polynomial
4/2		Writing and editing for clarity
4/7	6.2	Jones polynomials of alternating links
4/9	6.2	Jones polynomials and crossing number
4/14		Presentation: n-colorability	See review sheet for final exam
4/16		Presentation: Knot-based cryptography
4/21		Presentation: The uknotting problem
4/23		Presentation: Knot-based cryptography	Papers and individual reflection due
4/28		Review session, 11:00 AM
5/5		Final exam due at 11:00 AM