Metropolitan State University

MATH 370 : Modern Geometry

A. Course Description
Credits: 4
Prerequisites: MATH 310 Calculus III: Multivariable Calculus  
Lab Hours/ Weeks: Corequisites: None
Lecture Hours/ Week :  
MnTC Goals: Goal 04 - Mathematical/Logical Reasoning , Goal LS - Upper Division Liberal Studies
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.
B. Course Effective Dates: 05/03/2005 - 01/08/2006 01/09/2006 - Present
C. Outline of Major Content Areas:
See Course Description for major content areas.
D. Learning Outcomes (General)
  1. Compare/contrast the development, axioms and/or postulates and theorems of Euclidean and Non-Euclidean geometries.
  2. Define and understand mathematical axiomatic systems and their properties.
  3. Present concepts of Euclidean geometry from a transformational viewpoint.
  4. Use hypotheses to draw valid conclusions and to avoid making invalid arguments.
E. Learning Outcomes (MN Transfer Curriculum)
Goal 04 - Mathematical/Logical Reasoning
  1. Apply higher-order problem-solving and/or modeling strategies.
  2. Clearly express mathematical/logical ideas in writing.
  3. Illustrate historical and contemporary applications of mathematical/logical systems.
  4. Explain what constitutes a valid mathematical/logical argument(proof).
Goal LS - Upper Division Liberal Studies
G. Special Information