MTH 322 Geometry Fall 2012
Department of Mathematics, University of Rhode Island
Instructor |
Orlando Merino, merino@math.uri.edu, 874-4442, Lippitt Hall 101C, Office Hrs. MWF 10-10:50 a.m. or by appt. |
Meets |
Lippitt Hall 204, MWF 11 a.m. |
Text |
Euclidean and Non-Euclidean Geometries, by Marvin J. Greenberg, Fourth Edition. ISBN 978-0-7167-9948-0 |
Prerequisites |
MTH 215 or permission of the instructor |
Topics |
History of early geometry, Logic and Incidence Geometry, Hilbert's Axioms, Neutral Geometry, The Parallel Postulate, Non-Euclidean Geometriy. |
Evaluation |
Midterm 15%, Final Exam 25%, Written project 20%, oral presentation 20%, Homework 20%. |
About the Course |
This course is an introduction to Geometry. In this class you will do mathematical proofs, as well as oral and written exposition of mathematical topics. Students in Secondary Education in Mathematics must take MTH322, and we will pay special attention to the NCATE/NCTM Program Standards 2, 3, and 11, which are listed below. MTH322 is also a good class for students of mathematics or other areas who are interested in learning about geometry. NCATE/NCTM Program Standards (2003) Standard 2: Knowledge of Reasoning and Proof Candidates reason, construct, and evaluate mathematical arguments and develop an appreciation for mathematical rigor and inquiry.
Standard 3: Knowledge of Mathematical Communication Candidates communicate their mathematical thinking orally and in writing to peers, faculty, and others. Indicators
Standard 11: Knowledge of Geometries Candidates use spatial visualization and geometric modeling to explore and analyze geometric shapes, structures, and their properties. Indicators
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Technology |
We will use the software GEOGEBRA, which is available free for download. |
Instructor's expectations |
[Based on: Zucker, S., Teaching at the University Level, AMS Notices (43), 1996, pp 863-865.] |
Special Needs |
Any student with a documented disability is welcome to contact me early in the semester so that we may work out reasonable accomodations to support your success in this course. Students should also contact Disability Services for Student, Office of Student Life, 330 Memorial Union, Kingston, 874-2098. |
Academic Honesty |
All submitted work must be your own. If you consult other sources (class readings, articles or books from the library, articles available through internet databases, or websites) these MUST be properly documented, or you will be charged with plagiarism and will receive an F for the paper. In some cases, this may result in a failure of the course as well. In addition, the charge of academic dishonesty will go on your record in the Office of Student Life. If you have any doubt about what constitutes plagiarism, see the URI Student Handbook, and UNIVERSITY MANUAL sections on Plagiarism and Cheating at http://www.uri.edu/facsen/8.20-8.27.html - cheating. |
Late work |
Late work is either not accepted, or accepted under certain conditions and with a penalty. More details will be given in class. |
Additional Information |
The University Manual (See www.uri.edu/facsen/MANUAL_08.html ) contains useful information: 8.39.10-12 (attendance); 8.51.11-14 (excused absences); 8.51.15 (examinations during the semester); 8.51.16 (final examinations); 8.27.16-19, 8.27.17-19, 8.27.10-15 (plagiarism-instructor's responsibilities, judicial action, and student's responsibilities); and 8.52.10 (grading criteria). |
Civility Policy |
Students are responsible for being familiar with and adhering to the published "Community Standards of Behavior: University Policies and Regulations” which can be accessed in the University Student Handbook. If you must come in late or leave early, please do not disrupt the class. Please turn off all cell phones (no texting!), pagers, or any electronic devices. |
"Incomplete" grade |
URI regulations concerning incomplete grades will be followed to the letter. The following paragraphs are taken from the university manual:
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