Math 302, NonEuclidean Geometry, Fall 1997

Meetings:
in 243 Altgeld Hall, MWF at 11am (sect D1) or 3pm (sect G1).
Web address:
Course information is available online at http://www.math.uiuc.edu/~jms/m302
Professor:
John M. Sullivan, jms@uiuc.edu, 326 Illini Hall, 244-5930 (with answering machine).
Office hours:
Tentatively, Wed 2-3pm, Fri 10-11am, or by appointment.
Textbook:
The Foundations of Geometry and the Non-Euclidean Plane, George Martin.
TAs:
Vivek Chawla (chawla@math.uiuc.edu) and Amine Fawaz (asalimef@math.uiuc.edu).
Department mailboxes:
in 250 Altgeld Hall.
Prerequisites:
The official prerequisite is a 2xx-level calculus course, but this course does not build on that material; what is necessary is a certain amount of mathematical maturity.
Homework:
There will be weekly homework assignments, due on Mondays, often with problems assigned from the textbook. The homework counts for 30% of the course grade. Learning to write good mathematical proofs is one of the goals of this course.
Exams:
There will be three hour-tests on Fridays in class. These will be on Sep 19, Oct 17, and Nov 21; the material covered on each will be announced later. The lowest grade among the three will be dropped. Only the best two will count towards your course grade. Because of this, there will be no make-up tests offered. If you miss one test, your grades on the other two will be counted. These tests count for 40% of your grade. The final exam covers the entire course, and counts for 30% of the course grade. The final for the 11am section will be 8-11am Mon 15 Dec, and the final for the 3pm section will be 7-10pm Thu 18 Dec.
Different Sections:
Since the two sections of Math 302 have the same instructor, they will cover the same material and proceed at the same pace. The exams will be comparable but slightly different. It will be considered cheating to discuss the contents of an exam with students in the other section between the two administrations of the exam.
Outline:
This course gives an axiomatic development of plane geometry, including examination of the tacit assumptions made by Euclid, and various nonEuclidean geometries. It will mostly cover the first 25 chapters of Martin, but students are also responsible for additional material covered in lecture. Often on Fridays, instead of a regular lecture, there will be other hands-on or computer-based activities.