2002 Fall MATH 123S-01
Bulletin Course Description Euclidean geometry, inverse and projective geometries, topology (M<148>bius strips, Klein bottle, projective space), and non-Euclidean geometries in two and three dimensions; contributions of Euclid, Gauss, Lobachevsky, Bolyai, Riemann, and Hilbert. Research project and paper required. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title GEOMETRY Department MATH Course Number 2002 Fall 123S Section Number 01 Primary Instructor Bryant,Robert L Prerequisites Prerequisite: Mathematics 32, 32L, 41, or consent of instructor. Course Homepage www.math.duke.edu/~bryant/mth123S/
Prerequisites
Math 32 or 41
Synopsis of course content
Euclidean and non-Euclidean geometries.
Axiomatic and historical approach.
Computer software may be used
in the later stages of the course.
Textbooks
Marvin J. Greenberg, Euclidean and Non-Euclidean Geometries: Development and History. (The edition will be either the third or the fourth, if the latter is available by this fall.)
Assignments
There will be regular homework assignments. The algorithm for the due date is as follows: Homework assigned in any given week is due on the first day of class of the following week. These homework assignments will count for 40% of the grade.
Exams
One midterm (20%) and a final exam (20%)
Term Papers
Each student will be required to choose one project from an approved list. The final result of the project will be a 15-20 page report on the subject chosen. The first draft of the project is due before Thanksgiving break. The second draft will be due by the last day of class. The project will count for 20% of the grade.
Grade to be based on
40% Homework
20% Midterm
20% Project
20% Final exam
