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MATH 370 Modern Geometry

This course goes beyond the Euclidean Geometry typically taught in high schools. This is a modern approach to geometry based on the systematic use of transformations. It includes a study of some advanced concepts from Euclidean Geometry and then proceeds to examine a wide variety of other geometries, including Non-Euclidean and Projective Geometry. A working knowledge of vectors, matrices, and multivariable calculus is assumed.

Prerequisites

Special information

Note: Students whose prerequisites are not identified by the system should contact the Math and Statistics Department for an override at MATH@metrostate.edu.
4 Undergraduate credits

Effective May 2, 2024 to present

Meets graduation requirements for

Learning outcomes

General

  • Present concepts of Euclidean geometry from a transformational viewpoint.
  • Use hypotheses to draw valid conclusions and to avoid making invalid arguments.
  • Compare/contrast the axioms and/or postulates and theorems of Euclidean and Non-Euclidean geometries.
  • Express mathematical/logical ideas clearly in writing.

Spring 2026

Section Title Instructor books eservices
01 Modern Geometry Kaus, Cynthia C Books for MATH-370-01 Spring 2026 Course details for MATH-370-01 Spring 2026