MTH 322 Fall Semester 2007

CONCEPTS OF GEOMETRY

Department of Mathematics, U. of Rhode Island



 

Instructor Orlando Merino, merino@math.uri.edu, 874-4442, Tyler Hall 222
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
The text will be supplemented with additional material.
Topics Euclid's Geometry and Historical Perspective, Logic and Incidence Geometry, Hilbert's Axioms of Euclidean Geometry, Euclidean Geometry, The Parallel Postulate, Angles, Segments and Measures. Polygons and the Area Postulates. Similarity, Circles.
Evaluation Midterm Exam (25%), Final Exam (25%), Assignments (25%), Presentations (25%).
About the Course This course is an introduction to Euclidean Geometry. We will explore the history of Geometry and axiomatic systems. In this class you will do mathematical proofs and exposition of mathematical topics.