Calendar for Math 425-2, Topics in Geometry, Spring 2011

This calendar is tentative and will be updated throughout the semester.

Tangrams

Week

Day

Date

Topic

Sections

HW







1 Wednesday 1/5/11 Introductions, Euclid Book 1
1.1, 1.3, 1.4, 1.5, 1.9, 1.10, 1.12, 1.13

Friday 1/7/11 Geometer's Sketchpad








2 Monday 1/10/11 Constructions



Wednesday 1/12/11 Pythagorean Theorem



Friday 1/14/11 Origami








3 Monday 1/17/11 Area
3, 22
p.43 3-6,8,9,
p.203 1-3

Wednesday 1/19/11 Pentagon construction
4
p.50 2,4,8

Friday 1/21/11








4 Monday 1/24/11 Hilbert axioms incidence and betweenness
6,7
p.71 1,2,3,5,6,7

Wednesday 1/26/11 Hilbert axioms for betweenness
7
p.79 1,4,5,6,11,14

Friday 1/28/11 Pythagorean Theorem








5 Monday 1/31/11 Betweenness

p.81 15

Wednesday 2/2/11 Snow day



Friday 2/4/11 Eulerian circuits, UPS routes








6 Monday 2/7/11 Figures, Betweenness, Congruence for line segments

p.88 1,4,5,7,10

Wednesday 2/9/11 Congruence for angles, Hilbert planes

p. 96 4, p.103 1-5, 9,10

Friday 2/11/11 Tilings








7 Monday 2/14/11 Hilbert Planes



Wednesday 2/16/11 Circle circle intersection



Friday 2/18/11 Mobius bands

Midterm grades






8 Monday 2/21/11 Euclidean Planes,Cartesian planes over various fields



Wednesday 2/23/11 Variants on Parallel axiom
Ch. 7 section 33
p.301 1-3,6,7a-c, 11

Friday 2/25/11 Golden Ratio








9 Monday 2/28/11 Saccherri Quadrilaterals
33
p.316 1-4

Wednesday 3/2/11 defect of a triangle
34


Friday 3/4/11 Billiards








10 Monday 3/7/11 Limiting parallels



Wednesday 3/9/11 Limiting triangles



Friday 3/11/11 Linkages








11 Monday-Friday 3/14/11-3/18/11 Spring Break







12 Monday 13/21/11 Non-Euclidean Area
36


Wednesday 3/23/11 Circular inversion
37
p.342 1,3,5,8,9

Friday 3/25/11 Fractals








13 Monday 3/28/11 Poincare model

p.366 1,2,3,6,8,13

Wednesday 3/30/11 Poincare model



Friday 4/1/11








14 Monday 4/3/11 Hyperbolic Geometry



Wednesday 4/6/11 Hyperbolic Geometry



Friday 4/8/11








15 Monday 4/11/11 Arithmetic of ends



Wednesday 4/13/11 Arithmetic of ends



Friday 4/15/11








16 Monday 14/18/11 Review and recap



Tuesday 4/19/11 Last class


Wednesday 4/20/11 Reading day

Finals Thursday 4/21/11 3:30-5:30 Geometry Final
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