A rigorous
treatment of the fundamentals of two-dimensional geometry: Euclidean,
spherical, elliptic, and hyperbolic. The course will present the basic
classical results of plane geometry: congruence theorems, concurrence
theorems, classification of isometries, etc. and their analogues in
the non-euclidean settings. In this course we will explore the link
between
classical geometry and modern geometry, preparing for study in group
theory, differential geometry, topology, and mathematical physics.
The approach will be analytical, providing practice in proof
techniques. This course is strongly recommended for
prospective teachers of mathematics.
Prerequisite: 205 or permission of instructor
Distribution: Mathematical Modeling. Majors can fulfill the major
presentation requirement in this course in 2005-06.
