MATH 6850 Modern Geometry

A study of the axiomatic method of learning geometry. Covers Euclidean and non-Euclidean geometries with a focus on the rigorous proving of theorems.

Credits

3

Student Learning Outcomes

Upon the completion of this course, students will be able to demonstrate the following outcome-based learning skills:

1. Compare and contrast the development, axioms, 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.