|Date||In Class||Section in GI
|Wed 1/4||Introduction, survey, bicycle chains and cancelling kinks (problem 1 on the worksheet).||4
||Start reading Weeks Ch. 1-4||Think about problems 2-4 on the worksheet.||Worksheet 1: Bicycle Chains available on blackboard.|
|Fri 1/6 NO CLASS.||Class moved to x-hour.
|Mon 1/9||Bicycle chains; discuss problem 4 (and maybe also 2,3); turning a sphere inside out.||4||HW 1: Read Weeks Ch 1-4 and do Problems 2-6 on Worksheet 1. Due Friday.|
|Tues 1/10 x-hour||Immersed curves and the rotation number as an invariant of regular homotopy. Relationship to bicycle chains.|
|Wed 1/11||Introduction to knot theory; knot diagrams; Reidemeister moves; crossing number. Build a knot table.
|Fri 1/13||Knot invariants; Writhe and linking number; tricolorability||7-10||
||HW 1 due|
|Mon 1/16- NO CLASS (MLK Day)||Class moved to x-hour.|
|Tues 1/17 x-hour||Discussion of Weeks Ch. 1-4.||
||Be ready to discuss Weeks Ch. 1-4|
|Wed 1/18||Quiz. Tabulation of knots ctd; Kauffman bracket||
||Start reading Weeks Ch. 5-6||QUIZ Weeks Ch. 1-4
|Fri 1/20||Bracket and Jones Polynomials; Wind and Mr. Ug.||
|Mon 1/23||Exercises in Imagining,
|Tues 1/24 x-hour||Project Meetings/ HW help session|
|Wed 1/25||Review surfaces, intrinsic/extrinsic geometry and topolgy: In groups, discuss the reading and the exercises in Weeks to review for the quiz.||18-19
||HW 2 due.|
|Fri 1/27||Platonic solids and polyhedra||14
||Start reading Weeks Ch. 7-8||Project topic paragraph due.||QUIZ Weeks Ch. 5-6|
|Mon 1/30||Graphs, planarity, Euler's formula, Four Color Theorem|
|Tues 1/31 x-hour||Project meetings/ HW help session|
|Wed 2/1||Maps, dual polyhedra, graphs on the torus, Klein bottle, and projective plane, and Euler's formula on those surfaces.||Deadline for first project meeting.
HW 3 due
|Fri 2/3||Orientability, Euler characteristic and genus, cell decompositions, relationship to graphs on surfaces.||
|Mon 2/6||Classification of Surfaces||21||Project proposal due.|
|Tues 2/7 x-hour||Classification of Surfaces contiued|
|Wed 2/8||Wallpaper intro, Mirrors||22||HW 4 due
Class was moved to Tues 2/7
|Mon 2/13||Types of symmetry||23||QUIZ
|Wed 2/15||Recognizing patterns, notation||25||Start reading Weeks Chapter 7.||Course portfolio draft due.
|Fri 2/17||Quotient orbifolds and paper cutting|
|Mon 2/20||Orbifold Euler characteristic, Sketch of the proof that there are 17 patterns.
||24||Detailed project description due.|
|Wed 2/22||Spherical and hyperbolic geometry. Vegetables activity.||28||HW 5 due.|
|Fri 2/24||Curvature of surfaces. Discuss Weeks Ch. 9-11 in groups. Gauss-Bonnet Theorem.||35||QUIZ (tentative)|
|Mon 2/27||Spherical and hyperbolic wallpaper. Ping-pong ball activity.||29|
|Wed 2/29||Examples of 3-Manifolds
||HW 6 due.|
|Fri 3/2||Examples of 3-Manifolds|