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Math 143 - Modern Geometries and Their Applications

Course Description

Principles, Methods and Applications of Non-Euclidean, Projective and Other Geometries

Course Learning Outcomes

After completion of the course, the student should be able to:

1. Identify commonalities and differences among various types of geometries.
2. Discuss the different kinds of geometric transformations.
3. Prove important results and propositions in non-Euclidean geometries.
4. Apply the various geometric concepts and tools in modeling and problem solving.
5. Evaluate the role and contributions of modern geometries to mathematics, science, culture, and society.

Course Outline

UNIT 1. Axiomatic System and Geometry

UNIT 2. Transformational Geometry

UNIT 3. Hyperbolic Geometry

UNIT 4. Elliptic and Spherical Geometries

UNIT 5. Projective Geometry