Math 506 Modern Geometry (Graduate) – Fall II

This course offers a critical presentation of the development and philosophical significance of non-Euclidean geometry. The goal of this course is to advance understanding of Euclidean and non-Euclidean geometries, through analytic methods and critical thinking. Upon completion of this course, you should be able to construct mathematical proofs and logical arguments, compare Euclidean and non-Euclidean geometries, evaluate several important theorems of hyperbolic geometry, evaluate several important theorems of projective geometry, analyze several important theorems of fractal geometry, examine God’s natural order in light of mathematical understanding.

Prerequisite: A bachelor’s degree with a Mathematics major or must be state certified (in any state) to teach Mathematics at a secondary school level and show evidence of completing an undergraduate course in Modern Geometry with a minimum grade of “C”.

Sequential Offerings:
Math 502 Abstract Algebra (Spring 2020)
Math 504 Real Analysis (Summer I 2020)
Math 501 Linear Algebra (Summer II 2020)
Math 505 Statistical Methods (Fall 2020)
Math 506 Modern Geometry (Late Fall 2020)
Math 503 Advanced Calculus (Spring 2021)