This course explores geometry from heuristic, axiomatic, and computational angles. Students examine ancient results, Euclid, non-Euclidean geometry via the Poincaré disk, and transformational geometry.
Calculate the similarity dimension of geometric objects.
Prove Simple theorems of hyperbolic geometry.
Summarize contributions of pivotal geometers.
Explain the significance of denying the fifth axiom of Euclid's Playfair's Postulate.
Construct objects in the Poincaré Disk.
Calculate distances, angle measures, and areas in the Poincaré Disk.
Axiomatic Systems and Ancient and Neutral (Finite) Geometries
Solve elementary problems from Western and Non-Western sources.
Demonstrate properties of components of axiomatic systems.
Prove elementary theorems in neutral geometry.
Euclidean Plane Geometry and Constructions
Prove theorems in Euclidean Geometry.
Perform basic constructions with straight-edge and compass.
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Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.