M620 Geometry (3 cr.)

This course provides a formal comparison of non-Euclidean geometry with Euclidean geometry. Advanced Euclidean geometry results concerning concurrency, collinearity, cyclic quadrilaterals, equicircles, and the nine-point circle are discussed.

Upon completion of the course, students are expected to be able to do the following:

1. Describe axiom sets for geometry. (2.a)
2. Compare and contrast neutral, Euclidean, hyperbolic, elliptic, and projective geometries. (1.b)
3. Analyze and critique proofs regarding advanced Euclidean results. (2.b)
4. Prove and present theorems from hyperbolic, elliptic, and projective geometries. (4.d)