MTH 322 Fall Semester 2005


Department of Mathematics, U. of Rhode Island


Instructor Orlando Merino,, 874-4442, Tyler Hall 220
Office Hrs  To be announced
Text Euclidean and Non-Euclidean Geometry, by
Marvin J. Greenberg, 3rd Edition,
W.H.Freeman Co. ISBN: 0-7167-2446-4
Topics Most Chapters of the textbook: Euclid's Geometry and Historical Perspective, Logic and Incidence Geometry, Hilbert's Axioms of Euclidean Geometry, Euclidean Geometry, History of the Parallel Postulate, Introduction to Non-Euclidean Geometry, Independence of the Parallel Postulate, Geometric Transformations, Hyperbolic Geometry.
Evaluation Midterm Exam (25%), Final Exam (25%), Assignments (25%), Presentations (25%).
About the Course This course is an introduction to Euclidean Geometry and to some developments in Non-Euclidean Geometry. We will explore some history of Geometry and axiomatic systems. In this class you will do mathematical proofs and exposition of mathematical topics.