Real Analysis
Boston College, Fall 2012
The aim of this course is to provide the basic methods and techniques of real analysis. We will start by
going over the foundations of measure theory, which is necessary in order to properly study integration of
real functions. We will then study elements of Hilbert spaces and L^pspaces, and some aspects of Fourier
analysis, as well as their various applications.
Prerequisites
The course is intended for the first year graduate students; Interested undergraduate students are also welcome.
I will assume knowledge of a basic courses in analysis including the topology of metric spaces.
Bibliography
The main text book for the course is
G.B Folland, Real Analysis: modern techniques and their applications.
You should also consult
E. M. Stein and R. Shakarch, Real Analysis: Measure Theory, Integration, and Hilbert Spaces
Schedule
MWF 12
Room: Carney 202
Homework
There will be periodic homework assignments posted here.

Assignment 1, due date: Sep. 19, 2012.

Assignment 2, due date: Oct. 03, 2012.

Assignment 3, due date: Oct. 17, 2012.

Assignment 4, due date: Nov. 1, 2012.

Assignment 5, due date: Tue Nov. 20, 2012 (in my mailbox).

Assignment 6, due date: Fri Nov. 30, 2012.

Assignment 7, due date: Fri Dec. 7, 2012.
Contact me at: dubi.kelmer@bc.edu, Office : Carney 268, tel: (617) 5526588
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