Course MAT523

Advanced Analysis

The course covers the essentials of the first eleven chapters of the textbook, "Analysis" by Lieb and Loss. Topics include Lebesque integrals, Measure Theory, L^p Spaces, Fourier Transforms, Distributions, Potential Theory, and some illustrative examples of applications of these topics.

Textbook(s)
Description of Classes

Reading/Writing Assignments:
Weekly problem sets.

Requirements/Grading:
Take Home Midterm Exam 20%
Take Home Final Exam 30%
Problem Sets 50%

Who Takes This Course

The course should be of interest to graduate students in mathematics and physics as well as advanced
undergraduates.

Placement and Prerequisites

MAT325 and MAT335 or equivalent.