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.

Recommended preparation: MATH 310 with a “B” or better and MATH 440 with a “B” or better.

Grading Basis: Graded
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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