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Note: This course is not available for the current semester.
Course No: 92.502; Last Offered: No Data;
Course Description
The class is aimed to give a rigorous exposition of the measure theory and Lebesgue integration. These techniques are widely used in modern analysis, in particular, in mathematical probability. Tentative topics are: Families of subsets (Sigma-algebras, Rings, Semi-rings and Dynkin systems); Measure; Caratheodorys extension theorem; Measurable functions; Various types of convergence (almost everywhere, almost uniformly, in measure); Lebesgue integral; Fatou, monotone convergence and dominated convergence theorems; Product measures, Fubinis theorem; Signed measures; Absolute continuity and Radon-Nikodim theorem. Prerequisites: 92.501 Real Analysis or equivalent
Prerequisites & Notes
- Prerequisites:
- Special Notes:
- Credits: 3;
Questions About This Course?
Contact the Advising Center at 978-934-2474 or
Continuing_Education@uml.edu
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