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University of North Carolina

Math 653
Introductory Analysis

Fall 2009

Pictured above Augustin Cauchy, French postage stamp (11/10/1989).  Image from jeff560.tripod.com/

Links:

Syllabus
Schedule and Homework Assignments
Exams 

Course Information:
Instructor:  Jason Metcalfe
E-mail:  metcalfe@email.unc.edu
Office:  Phillips 324K
Office Hours: W 10:00-11:00am, Th 9:15-10:15am, and by appointment.

Lecture:  TuTh 2:00-3:15pm
Classroom:  Phillips 224


Announcements:

[10/29/09] - Exam 2 has been rescheduled for Tuesday, November 10 since there appears to be unanimous agreement on this proposed change.


[9/10/09] - I will be away for a conference 9/14-9/18.  On 9/15, the class will be covered by Prof. Cima.  On 9/17, Prof. Hawkins will lecture in my absense.  Please note that office hours are canceled during this period.  Please email for an appointment if additional assistance is needed.

[8/24/09] - Welcome, and best wishes for a happy and productive semester!

The text book that I listed is just one of many options.  I will draw material from a number of sources.  You may wish to consult some of these as well.  These include, but are not limited to:

T. Tao.  Analysis Volume I, Anlaysis Volume II.  The latter will be more relevant to this particular course.  See Tao's webpage Vol. I, Vol. II for some related notes, etc.
W. Rudin.  Principles of Mathematical Analysis.
A. Browder.  Mathematical Analysis: An Introduction.
J. Hunter and B. Nachtergaele.  Applied Analysis
E. Stein and R. Shakarchi.  Real Analysis: Measure Theory, Integration, and Hilbert Spaces.


Past UNC Ph.D. Comprehensive Exams