Syllabus for MTH 733
Real Analysis

• Instructor: Ilie Grigorescu
• Office: Ungar 411
• Phone: (305) 284-2146
• email: igrigore@math.miami.edu
• Home page: www.math.miami.edu/~igrigore
• Office Hours: MW 3:15-4:15, Th 1:20-3:20 and by appointment.
• Class Hours: MWF 11:15-12:05 in Ungar 402

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  Due to hurricane Irma, classes will continue until 12/20.

  Text:
  

  Real Analysis: Modern Techniques and Their Applications by Gerald B. Folland.
  Wiley; 2nd edition (May 1, 2007) ISBN-13: 978-0471317166 and ISBN-10: 0471317160. Publisher's page
  
  Additional reading:

  Real and Complex Analysis (Higher Mathematics Series) 3rd Edition by Walter Rudin; McGraw-Hill Education; 3 edition (May 1, 1986).

  Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Book 3) First Edition Edition by Elias M. Stein and Rami Shakarchi

  Analysis American Mathematical Society; 2 edition (March 21, 2001), (Graduate Studies in Mathematics) 2nd Edition by Elliott H. Lieb and Michael Loss.

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  Description:
  

  MTH733 - MTH734 Real Analysis is a two semester analysis course introducing measure theoretic integration theory, L^P spaces, point-set topology, elements of functional analysis, Fourier analysis, distribution theory and Sobolev spaces.
  
  

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  Prerequisites: MTH 533/633-MTH534/634.

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  Grading policy:
  

  Homework and a take home final
  

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  General rules / information:

  - check this page for updates.
  - make sure that you have access to the UM listserv (email list via Blackboard) for this class
  - you must show your work in order to obtain credit.
  

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• Homework 0 (from Section 0)
  

  Do problems: 1, 3, 4, 5, 7( part 2, 4, 6, 7), 9, 10 from Notes 0