MATH 4220-001 TEST THREE
DUE MAY 15, 2009 AT 5:30PM
You should either email your final test to T imothy.V [email protected], fax it to 303.556.8550 (attn: Timothy Vis), or turn it in to my mailbox in the math department. In order to receive full credit for
MATH 4220-001 TEST TWO
DUE APRIL 1, 2009 AT 5:30PM
In order to receive full credit for this take-home exam, your work must adhere to the following conditions: All work must be done neatly. Messy handwriting, excessive erasure, crossed out work, and the li
SUBPLANES
TIMOTHY VIS
One of the most common studied properties of a given object (be it a set, group, graph, or a plane) in mathematics is its sub-objects. That is, given a group, what other groups are contained inside it? Or, in the context of geometry,
THE THEOREM OF DESARGUES
TIMOTHY VIS
1. Introduction In this worksheet we will be exploring some proofs surrounding the Theorem of Desargues. This "theorem" plays an extremely important role in projective geometry, although it is not universally true. We
EXERCISE 3.1.2
TIMOTHY VIS
Exercise 3.1.2 reads
Two planes of a projective space S4 of dimension 4 are said to be skew if they
intersect in only one point. Let , , and be three mutually skew planes in S4 .
Prove that there exists a unique plane of S4 inte
AXIOMS OF PROJECTIVE SPACE
TIMOTHY VIS
1. Axioms We do not use the axioms of the textbook to define projective space. Rather, we use a simpler, shorter, and more geometric set of axioms and obtain those axioms as propositions. Definition 1. A projective s