Course MAT425

Analysis III: Integration Theory and Hilbert Spaces

(Replaces MAT332 beginning AY 2012-13)

The theory of Lebesgue integration in n-dimensional space. Differentiation theory. Hilbert space theory and applications to Fourier transforms, and partial differential equations. Introduction to fractals.   The third semester of a four-semester sequence, but may be taken independently. 

Description of classes

Classes meet Tuesday and Thursday.


70% of grade will be based on performance on weekly problem sets.

Placement and Prerequisites

MAT 215, 218 or permission of instructor.


Mid Term Exam - 10%
Take Home Final Exam - 20%
Problem set(s) - 70%