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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.


Special information

Note: Students whose prerequisites are not identified by the system should contact the Math and Statistics Department for an override at
3 Undergraduate credits

Effective May 8, 2019 to present

Meets graduation requirements for

Learning outcomes


  • Compare/contrast the development, axioms and/or postulates and theorems of Euclidean and Non-Euclidean geometries.
  • Define and understand mathematical axiomatic systems and their properties.
  • Present concepts of Euclidean geometry from a transformational viewpoint.
  • Use hypotheses to draw valid conclusions and to avoid making invalid arguments.

Spring 2022

Section Title Instructor
01 Modern Geometry Kaus, Cynthia C Books Course details