MATH 6110

Real Analysis

Course Description

Course information provided by the 2025-2026 Catalog.

MATH 6110-MATH 6120 are the core analysis courses in the mathematics graduate program. MATH 6110 covers abstract measure and integration theory, and related topics such as the Lebesgue integration theorem, the Radon-Nikodym theorem, the Hardy-Littlewood maximal function, the Brunn-Minkowski inequality, rectifiable curves and the isoperimetric inequality, Hausdorff dimension and Cantor sets, and an introduction to ergodic theory.

Prerequisites/Corequisites Prerequisite: strong performance in an undergraduate analysis course at the level of MATH 4140, or permission of instructor.

Forbidden Overlaps Forbidden Overlap: due to an overlap in content, students will not receive credit for both MATH 6110 and MATH 6210.

Last 4 Terms Offered 2025FA, 2024FA, 2023FA, 2022FA

When Offered Fall.

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