Jun 06, 2020
MATH 455 - College Geometry II
Introduction to non-Euclidean geometry including history, deductive reasoning, and topics in hyperbolic and elliptical geometry.
Prerequisites: MATH 355 and MATH 260 with grades of C or higher.
Upon successful completion of this course, the student will be able to:
Learner Outcomes Approval Date:
- 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.
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