Fall Semester 2007

100411 Real Analysis

Links:

Homework problem sheets etc.

Summary:

The course covers the fundamental concepts of abstract measure and integration theory and its traditional applications, including selected chapters from point set topology, functional analysis, and probabilty. It closely follows the book by G. Folland (Chapters 1-6 plus selected material from Chapters 7-10) cited below.

Reading:

G. B. Folland, Real analysis: Modern techniques and their applications, 2nd edition, Wiley-Interscience, 1999 (Primary reading, well structured, not overloaded).
W. Rudin, Real and complex analysis, 3rd edition, McGraw-Hill, 1987 (Chapters 1-9).
S. Lang, Real and functional analysis, 3rd edition, Springer 1993 (Selection from parts 1-3).
R. M. Dudley, Real analysis and probability, Cambridge Univ. Press, 2002 (Nice exposition with detailed historical notes).
H. L. Royden, Real analysis, 3rd edition, Macmillan Publ. Comp., 1988.

Prerequisites:

Integration and Manifolds (100311) or alike is prerequisite. Talk to the instructor if you haven't taken this course.

Contact Information:

Instructor:	Peter Oswald
Email:	p.oswald@jacobs-university.de
URL:	http://www.faculty.jacobs-university.de/poswald
Phone:	200-3179
Office hours:	Mo 1:30-3pm (or by appointment) in Research I, 113

TA/Grader:

Depends on enrollment

Time and Place:

Lectures

Mo 9:45-11:00 and We 11:15-12:30 in East Hall 8

Homework:

Homework will be handed out roughly every 10 days. Written solutions need to be turned in on the due date, no late homework will be accepted. Homework is your individual work. You can ask the instructor for hints. You may also consult books and internet resources, provided you always quote the source. Further details will be announced by the instructor.

Grading:

There will be one Midterm and a Final Exam. The final IUB grade will be computed from the weighted average of percentages of maximal scores with the weights

Homework:	40%
Midterm Exam (week 7):	20%
Final Exam:	40%

according to the following table:

Cutoff score:	95%	90%	85%	80%	75%	70%	65%	60%	55%	50%	45%	40%
IUB Points:	1.0	1.33	1.67	2.0	2.33	2.67	3.0	3.33	3.67	4.0	4.33	4.67

Last modified: 2007/08/15
This page: http://www.faculty.jacobs-university.de/poswald/Teaching/RealAnal/RealAnal.htm
Peter Oswald (p.oswald@jacobs-university.de)