Topics include axiomatic foundations of Euclidean geometry, Euclidean rigid motions, isometry theorems, the Fifth
Parallel Postulate and non-Euclidean geometries, Riemannian geometry, and the philosophy and history of geometry.
The software package Geometer's Sketchpad and other appropriate technologies are employed. Theorem proving is stressed.
A research paper is assigned.
Triad:
Mathematics or College Composition II.
Prerequisite:
MAT 242 Calculus II and MAT 289 Introduction to Mathematical Rigor.