Mathematics

MATH 450: Geometry

Fall 2006, 3 Credits, MWF 10.00 a.m.  MRC 419
Instructor: Dr Michael Wodzak, Associate Professor of Mathematics
Office: MC 530, 796-3659;
Email: mawodzak@viterbo.edu
Hours: MWF 9 – 10, WF 11 – 12,R 9—11,  and by appointment

Course Description: Topics in Euclidean and other geometries; Foundations of geometry; Place of Euclidean geometry among other geometries.
Prerequisite: A grade of C or higher in MATH 260.

TextFundamental Concepts of Geometry, by Bruce E Meserve.

OBJECTIVES Students will
-become acquainted with historical developments in geometry
-explore the many applications of geometry in various areas of mathematics
-provide a variety of geometric concepts and tools for use in other branches of mathematics
-present Euclidean geometry as a mathematical system and as one of several geometries
-present geometry as a rich source of mathematical models
-provide informal expository developments of school geometry
-challenge the prospective teacher to consider what high school geometry could be

Topics Covered:  These will include but will not be limited to
Axiomatic Systems
The relationship between Geometry and Abstract Algebra
Projective Geometry
Analytic Geometry
Affine Geometry
Euclidean v. Non Euclidean Systems
Topology

Assessment Procedures:
Semester grades in this course will be awarded according to a standard scale:
(90% and above) = A
(85% and above) =AB
(80% and above) = B
(75% and above) = BC
(70% and above) = C
(65% and above) =CD
(60% and above) = D
(Below 60%)         = F

Semester grades are calculated purely on a points basis, that is, the letter grades you earn on individual exams are purely guidelines for you to gauge your progress.  For example, if you miss a particular grade on an exam by a certain number of points, it is still possible to make up those points (and get into that grade bracket) in other parts of the course, perhaps on the next exam.  On the other hand, just because you got a good grade on one test, you should realize that you can lose enough points to get into a lower grade bracket by doing poorly in another area of the course.  Once again: it is points that count.