Foundations of Geometry - Fall 2007
Office: LeConte 313 D.
Office Hours: Tu W Th 1:00-2:00
or by appointment.
Course Announcements For Thursday, Nov 8, 2007:
Course Announcements For Wednesday, Dec 12, 2007:
Final Exams are being graded and I will notify you by e-mail when the grades are posted.
This course is a study of geometry as a logical system based upon postulates and undefined terms. The fundamental concepts and relations of Euclidean geometry are developed rigorously on the basis of a set of postulates, particularly Euclid's fifth postulate concerning parallel lines. As time allows, some additional topics will be included from non-Euclidean geometry, in particular, projective geometry with applications to robotic vision and computer graphics.
Math 241 or Math 250 (Math 241/250)
The Four Pillars of Geometry (Chapters 1-6) by John Stillwell, Springer Undergraduate Texts in Mathematics, 2005.
David Joyce's on-line Euclid Elements with interesting discussions and analysis.
Assigned Homework (10%), Three Tests (20 % each) and Final Exam(30%).
Graduate students will be required to write a term paper on a topic negotiated with the instructor, and their coursework will be graded more rigorously.
Important Course Dates:
Homework Assignments & Other Course Materials
Check this Link for homework assignments and other course materials.
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