Real Analysis
Boston College, Fall 2017
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 functional analysis such as L^pspaces, Radon measures and 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. Knowledge of linear algebra will also be assumed.
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
you can also find the Course Syllabus in PDF here.
Schedule
MWF 1111:50
Room:Devlin Hall 221
Homework
There will be periodic homework assignments posted here.

Assignment 1 , due date: Fri Sep. 15, 2017

Assignment 2 , due date: Fri Sep. 29, 2017

Assignment 3 , due date: Fri Oct. 14, 2017

Assignment 4 , due date: Fri Oct. 27, 2017

Assignment 5 , due date: Fri Nov. 10, 2017

Assignment 6 , due date: Mon Nov. 20, 2017

Assignment 7 , due date: Wed Dec. 06, 2017
Contact me at: dubi.kelmer@bc.edu, Office : Maloney Hall 526, tel: (617) 5521011
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