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Math 532 - Real Analysis II (Spring 2019)

Instructor: İlker Koçyiğit,  ikocyigit@ku.edu.tr

Office:  SCI 104
Office Hours:  Tue 9:45-10:45, Wed 16:00-17:00
Class time : Tue 08:30 - 09:45
                      Thr 08:30 - 09:45
Class location:
SNA-161
 
TA
:   İhsan Demirel, idemirel@ku.edu.tr
PS Sessions: Fridays 11:30 - 12:45  at  SCI129

Course Webpage : http://home.ku.edu.tr/~ikocyigit/m532

Description :  Elements of Functional Analysis (Normed vector spaces, linear functionals, Baire Category theorem, Topological Vector Spaces), Lp spaces, Hilbert Spaces, Applications (Fourier transform, some applications to PDE's). The coverage of the course is contained in Chapters 5 and 6 of Folland and Chapters 4 and 5 of Stein&Shakarchi. There might be some variations depending on the time constraints. 


Textbooks 

- Real Analysis: Modern Techniques and Their Applications, by G. B. Folland, Second Edition,Wiley Interscience, 1999

- Real Analysis: Measure Theory, Integration, and Hilbert Spaces, by E. M. Stein and R. Shakarchi, First Edition, Princeton University Press, 2005.


Grades

Homework Assignments : %30
Midterm Exam : %30
Final Exam : %40  

You will be held responsible for all information that is discussed during lecture and in the homework.


Homeworks

There will be several homework assignments which are an important component of this class. Late homework will not be accepted, however, each student is allowed to submit one homework late (up to 4 days) without presenting any excuse.

Exams
The midterm will be held on class time and include all previously covered material. The Final Exam is cumulative. Check the class website for the location and date/time of the exams. Note: There will be no make up for exams.  In case of an unexpected event such as an accident contact me as soon as possible. In that case you will be required to provide necessary documentation for your absence. In such a case you might not take a makeup but your final exam or homework might be weighted more heavily.


Academic Honesty
Students and faculty adhere to the principles of academic honesty at Koç University. Read all sections of Student Code of Conduct including academic dishonesty such as cheating, plagiarism and their consequences.
 



 
     EXAM SCHEDULE

Midterm: March 28

Final deadline:
May 24
 


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