Real Analysis

3 Credits · Level: Graduate

This is a PhD-level course in real analysis covering measure, integration, and applications. Topics include: measure theory, the Lebesgue integral, L^p spaces, duality, representation theorems, the Radon-Nikodym and Fubini theorems, and if time allows differentiation of integrals, and a few facts from harmonic analysis. This class provides preparation for the real analysis portion of the Comprehensive Exam.