Meets: MWF 1:10–2pm, EN 2070.
Moorhouse, Ross 216, 766-4394.
Please read Chapter 5 of the textbook.
The final exam will be comprehensive, i.e. it will cover all material we have studied
this semester, including Chapters 1, 2 and 5 of the textbook. Also please bring a
compass and straightedge to the exam as we agreed to have a construction problem on
the exam. It is not necessary to bring a blue exam booklet, as all answers
will be placed on the printed exam copy. For further details regarding the final exam,
please refer to the syllabus (copies of which are available through the link below).
- Students and Teachers
Working Together (UW policy on the rights and responsibilities of students
- Syllabus / Policies (130 KB)
- Overview of Modern Geometries (46 KB) handed out at the first class, Mon Aug 28
- Introduction to Axiomatic Systems (57 KB) handed out on Fri Sept 1, containing Homework Assignment #1
- Sept 11 Handout (306 KB) on consistency, completeness and Godel's Theorem
- Sept 15 Handout (67 KB) describing the application of finite geometries in experimental design
for Tom Lehrer's song Lobachevsky played in class on Wed Sept 13
- Solutions to HW1 (122 KB). I graded problems 1,2,4 each out of 10 points. The median grade was 23/30.
- An applet illustrating Pascal's Theorem (described
in class on Wed Sept 20). You'll need to select both boxes (the line of collinearity; and extend lines). Also see the
applet describing the dual of Pascal's Theorem (Brianchon's Theorem).
- Homework Assignment 2 (71 KB) due Mon Oct 2. Solutions
- Handout on an application of finite geometry to Error-Correcting Codes (284 KB) distributed in class on
Wed Sept 27. This accompanies Section 1.4 of the textbook
- Handout on Encoding and Decoding with the Hamming Code (182 KB) distributed in class on Fri Sept 29.
This also accompanies Section 1.4 of the textbook
- Sample Test (74 KB) in preparation for Monday's test. Question 11 has been corrected!
Thanks to Michael Henry for pointing out a previous error.
- Solutions to Sample Test (53 KB). Do not read this until after you have worked
through the sample test yourself! I have also corrected Question 11 in these solutions.
- Term Test (64 KB), Mon Oct 16. Solutions (43 KB)
- Geodesics on surfaces as described in class
- Models of the hyperbolic plane constructed by crochet
(4.7 MB) including some nice photographs. You don't need to read all the technical formulas here to appreciate the point and gain some
intuition into the structure of the hyperbolic plane!
- Textbook author Judith Cederberg's site for resources
for investigating the hyperbolic plane, including scripts for Geometer's Sketchpad
- Wikipedia's page on Hyperbolic Geometry
- Handout on Inversive Planes including HW3 (90 KB) handed out in class on
Fri Oct 27. Solutions
- Applet illustrating Steiner's Porism
- Handout on Inversive Plane Geometry (240 KB), Wed Nov 1
- Leonard Mlodinow's book
is highly recommended reading for this course, particularly Chapter I (The Story of Euclid) and Chapter III, Sections 16 through 19 (describing
hyperbolic space, and the question of consistency in axiomatic systems for geometry).
/ revised November, 2006