Revised: November 2006
Finite geometries, transformations, motions of the Euclidean plane and 3-space, similarity transformations, convexity, and other topics. Prerequisite: Junior standing or permission of department head.
1. Develop an understanding of the meaning and importance of the properties of consistency and independence of axiom systems.
2. Examine the concept of finite geometries, in particular those of Fano and Young.
3. Develop an understanding ofisometries and similarities in transformational geometry and the ability to treat them analytically.
Smart, James. Modern Geometries, Fourth Edition. Brooks Cole, 1993.
1. Krause, Eugene, Taxicab Geometry, Dover Publishers, 1986;
2. Kenney, Margaret J., Bezuszka, Stanley J., and Martin, Joan D., Informal Geometry Explorations, Dale Seymour Publications, 1992.
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance policy is left to the discretion of individual instructors, subject to general university policy.