MTH 322 Fall Semester 2006


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
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, The SMSG Postulates 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 some history of Geometry and axiomatic systems. In this class you will do mathematical proofs and exposition of mathematical topics.
To Do Homework 1: The homework is due on monday, September 18, in class, and it can be done without the book, just use the handout I gave in class, and the 5 undefined terms: point, line, lie on, between, congruent. Read page 27 (click here for a copy of p.27-28 ) carefully, and then do problems 1 and 2 (all parts, except for 2e)