| Date |
In
Class |
Section in GI
|
Reading |
HW |
Other |
| 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.
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| 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. |
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| Wed 1/11 |
Introduction to knot theory; knot diagrams; Reidemeister moves; crossing number. Build a knot table.
|
6 |
|
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| 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. |
|
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| Tues 1/17 x-hour |
Discussion of Weeks Ch.
1-4. |
|
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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. |
|
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| Mon 1/23 |
Exercises in Imagining,
Not Knot |
11
|
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| Tues 1/24 x-hour |
Project Meetings/ HW help session |
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| 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 |
|
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| Tues 1/31 x-hour |
Project meetings/ HW help session |
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| Wed 2/1 |
Maps, dual polyhedra, graphs on the torus, Klein bottle, and projective plane, and Euler's formula on those surfaces. |
|
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Deadline for first project meeting.
HW 3 due
|
|
| Fri 2/3 |
Orientability, Euler characteristic and genus, cell decompositions, relationship to graphs on surfaces. |
|
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| Mon 2/6 |
Classification of Surfaces |
21 |
|
Project proposal due. |
|
| Tues 2/7 x-hour |
Classification of Surfaces contiued |
|
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|
| Wed 2/8 |
Wallpaper intro, Mirrors |
22 |
|
HW 4 due
|
|
Friday 2/10-Carnival
Class was moved to Tues 2/7 |
|
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| Mon 2/13 |
Types of symmetry |
23 |
|
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QUIZ
|
| Wed 2/15 |
Recognizing patterns, notation |
25 |
Start reading Weeks Chapter 7. |
Course portfolio draft due.
|
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| Fri 2/17 |
Quotient orbifolds and paper cutting |
|
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| 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 |
|
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| Wed 2/29 |
Examples of 3-Manifolds
|
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HW 6 due. |
|
| Fri 3/2 |
Examples of 3-Manifolds |
|
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| Mon 3/5 |
TBD
|
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| Wed 3/7 |
wrap-up |
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