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MATH 713

Abstract and Real Analysis

Catalog2026-2027
Credits3 units
LevelGraduate
Average gradeB+
Standard

Overview

Description

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

Requirements

Recommended Preparation

  • MATH 310 with a “B” or better
  • MATH 440 with a “B” or better
MATH 310MATH 440
Original catalog text

Recommended Preparation

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

Units

Lecture3

Catalog Details

Offering

Offered: Every Fall

Terms

fall

Attributes

Standard

Learning Outcomes

  • demonstrate understanding of measure theory.
  • demonstrate understanding of Lebesgue integration.
  • demonstrate understanding of the uses of modern theories of measure and integration.