MATH 455 - College Geometry II

Description:
Introduction to non-Euclidean geometry including history, deductive reasoning, and topics in hyperbolic and elliptical geometry.

Prerequisites:
Prerequisites: MATH 355 and MATH 260 with grades of C or higher.

Credits: (3)

Learner Outcomes:
Upon successful completion of this course, the student will be able to:

Utilize inductive and deductive reasoning in the development of geometric notions.
Utilize the concepts of Neutral geometries to compare all incident geometries
Utilize the concepts of non-Euclidean geometry in its coordinate free form.
Utilize the concepts of non-Euclidean geometry in its coordinate form.
Utilize the concepts of non-Euclidean transformations and their respective invariants in heuristic, coordinate free, and coordinated forms.
Utilize the concepts of equivalence relations and equivalence classes to identify similar geometric objects.
Utilize technology appropriately to examine, explore, expand, and explain the concepts of Euclidean Geometry.

Learner Outcomes Approval Date:
1/21/04