Syllabus: in pdf format. You also might want to look at the following handout from
Prof. Leibowitz's math 223 class, spring 2004.
Homework
- Due 9/10: find the hole in the argument pg. 23-25, problem #7, pg. 30, problems
1,2,4,5 pg. 63-64
- Due 9/24: #9 from mid-level exercises, pg 64; #1,2,5,6 from major exercises,
pg 64-66. Also the following:
- Prove that any incidence geometry has at least threee lines. (Hint: pick three
non-collinear points.)
- An automorphism of an incidence geometry is a one-to-one, onto map from the
geometry to itself (points to points, lines to lines) which preserves the incidence
relations. How many automorphisms does 3-point incendence geometry have? (Be sure to justify
your answer. And don't forget to count the identity map!)
- Due 10/15: review exercises (pg 134-135) 1,2,4,13 (give counter-examples
for the false ones) and exercises (pg 136-138) 3,12,13,17
- Due 10/29: pages 203--209, problems #1,4,7;
also pages 279, problems P3, P4
- Due 11/19, problems P1, P5, P7, P9 on pages 279-282
Handouts
- Here is a handout about great circles on the two-sphere.
It's missing some drawings, which I had to add by hand.
- Solutions to most of the homework 2 problems are here.
- Solutions to most of the homework 3 problems are here.
Exam materials
- Here are some practice problems for the first exam. This lacks
the pictures you need to do some of the problems, but at least you can get started.
- Some solutions to the practice problems here.
- Solutions to the first exam.
- Here are some practice problems for
the second exam.
- Some solutions to the practice problems here.
- Solutions to the second exam.
- Here are some practice problems for
the final exam.
- Solutions to the practice problems
for the final exam