University General Course Catalog 2018-2019 
    
    Dec 14, 2025  
University General Course Catalog 2018-2019 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE. CHECK WITH YOUR ADVISOR.

MATH 713 - Abstract and Real Analysis

(3 units)
Lebesgue measure, measurable spaces, integration, convergence theorems, Fubini Theorem, measure–theoretic foundations of probability, topological measures, differentiation. Radon-Nikodym Theorem, Riesz Representation, special topics.

Units of Lecture: 3
Offered: Every Fall

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate understanding of measure theory.
2. demonstrate understanding of Lebesgue integration.
3. demonstrate understanding of the uses of modern theories of measure and integration.


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