Penn Math Math 508: Advanced Analysis I Fall 2010

Faculty: Jerry L. Kazdan
Telephone: (215) 898-5109
email: kazdan AT
Office Hours: Wed. 10:30-11:30   (and by appointment) in DRL 4E15
TA: Sneha Subramanian, DRL 4C9
email: ssneha AT  

Text: Kenneth Hoffman, Analysis in Euclidean space, Dover paperback (reprinted from the 1975 Prentice Hall edition); ISBN-10: 0486458040.

In both Fall 2006 and 2008 I taught a similar course. See the web pages Math 508: Fall 2006 and Math 508: Fall 2008

Prerequisites & Review Material

Exams: There will be two in-class exams, from 9:00-10:20 on

You may always use one 3"x5" card with notes on both sides

Course and Homework Grading

Some References: books, articles, web pages

Some Basic definitions
Relative Topology
Some Basic Inequalities
Completeness of l_1
Two inequalities for integrals of vector valued functions
Notes on Contracting Maps
Note on Convolution
Course Outline (incomplete)

Homework Assignments:
Old Exams: (you may always use one 3"x5" card with notes on both sides)
    Fall 2010 Exam 1     Fall 2010 Exam 2 (Exam 2 solutions)
    Fall 2008 Exam 1     Fall 2008 Exam 2 [solutions]
    Fall 2006 Exam 1 [solutions].     Fall 2006 Exam 2   [solutions].