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.

# Course MAT523

## Advanced Analysis

**Reading/Writing Assignments:**

Weekly problem sets.

**Requirements/Grading:**

Take Home Midterm Exam 20%

Take Home Final Exam 30%

Problem Sets 50%

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

undergraduates.

MAT325 and MAT335 or equivalent.