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Course Information

FOUNDATIONS OF ADVANCED MATHEMATICS (MAT 410)

Term: Spring 2010

Faculty

Jennifer K. AustShow MyInfo popup for Jennifer K. Aust
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Schedule

Tue-Thu, 1:30 PM - 2:45 PM (1/13/2010 - 5/17/2010) Location: MAIN MUN 203

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