MATH 445A – Geometry 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)
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)
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
3. Group III, Pick’s formula.
a. Members: Annie, Byron, Claire, Jameson
4. Group IV, Euler’s formula for planar graphs and Platonic solids.
a. Members: David, Kelsey, Kurt, Yue Yuan
5. Group V, Apollonian gasket.
a. Members: Guthrie, Jeffrey, Yang, Yasin
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)
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.
Hyperbolic geometry: The Official M.C.Escher website
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