MATH 445AGeometry for teachers

Spring Quarter 2013

 

Basic course information:

  

Lectures: MWF 10:30, Denny 166

Discussion sessions: T 12:30-1:30, Padelford C-36

 

Instructor: Julia Pevtsova,
e-mail: julia at math.washington.edu

Office: Padelford C-448

Office Hours: M 4-5pm, F 12-1pm

 

Teaching Assistant: Graham Clenaghan,

e-mail clenagh at math.washington.edu

Office Padelford C-331

Office Hours: TH 12-1pm

 

  

Textbook: Axiomatic Geometry by John M. Lee. Only the electronic version is currently available; if you are registered for the class, you can download it here. It is free but access is restricted to registered students.

Euclid’s Elements, translated by T.L.Heath, online version is here (open access)

  

Syllabus (detailed course information)

Discussion Board

Homework

List of axioms and theorems of neutral geometry (Chapter 3-9)

List of axioms and theorems of Euclidean geometry (Chapter 10-13, 16, and extras)

Escher’s Circle Limit III

 

Group Projects:

1.      Group I, the “Mean Team”, Straightedge and compass constructions of the three means.

a.       Members: Juan, Matt, Mikaela, Stacey.

b.      Paper

2.      Group II, Straightedge and compass constructions of the golden ratio and regular pentagon.

a.       Members: Changjin, Matt, Trevor, Sam

b.      Paper, Presentation slides

3.      Group III, Pick’s formula.

a.       Members: Annie, Byron, Claire, Jameson

b.      Paper, Presentation slides

4.      Group IV, Euler’s formula for planar graphs and Platonic solids.

a.       Members: David, Kelsey, Kurt, Yue Yuan

b.      Paper, Presentation slides

5.      Group V, Apollonian gasket.

a.       Members: Guthrie, Jeffrey, Yang, Yasin

b.      Paper, Presentation slides


Exams. Midterm is Friday, May 3rd, in class.

                                            Review session: Thursday, May 2nd, 12-1pm, C-36
                                            Extra Office hours: Wednesday, May 1st 12-1pm and 4-5pm, PDL C-448 (Julia’s office)

                                            Study guide and midterm rules

                                            Practice midterm

 

Final is Monday, June 10th, 8:30-10:20am, in class

                                            Review Sessions: Thursday, June 6, 11:30-12:30 pm (by Graham); Friday, June 7, in class.

                                            Study guide and final rules

                                            Practice final

                                           

Hyperbolic geometry:         The Official M.C.Escher website

                                            Circle Limits on wikipedia

 

Announcements (follow the link to the announcement section on the discussion board, only short summaries will be posted here):

·         How to sign up for notifications from the Discussion board

·         The first Discussion Session will be on Tuesday, April 9