Description
410: Foundations of Advanced Mathematics.
Goal: To provide a capstone experience for mathematics majors and to further prepare students for graduate level study by exploring topics in set theory and metric spaces from contemporary, historical, and philosophical viewpoints.
Content: Rigorous development of the real number system. Dedekind cuts, Cantorian set theory, transfinite numbers, Axiom of Choice, well-ordering principle, Zorn?s Lemma, Russell?s paradox, basic properties of metric spaces, and fractal geometry.
Taught: Spring. Alternate years.
Prerequisites: MAT 311 or 401.
Credit: 3 hours