MATH 531

Foundations of Geometry  - Fall 2007
Professor Robert Sharpley
Meets: TuTh   2:00-3:15 in LeConte College 115

Instructor Information
 Office:   LeConte 313 D.
 Office Hours: Tu W Th  1:00-2:00
   or by appointment.

Course Announcements For Thursday, Nov 8, 2007:
  • The Geometer's Sketchpad site has a Workshop Guide which is something like a tutorial. Click here for a copy. The Department has copies of the software available for your use in two of its computing labs on the first floor (LeConte 102 and 124, open Mon-Fri 8 am to 5 pm).
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.

Course Topics

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)

Primary Reference

The Four Pillars of Geometry (Chapters 1-6) by John Stillwell, Springer Undergraduate Texts in Mathematics, 2005.

Additional References

David Joyce's on-line Euclid Elements with interesting discussions and analysis.

Course Grading

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.


For further information, please contact

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This page maintained by Robert Sharpley ( and last updated August 28, 2007. 
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