Math 508: Advanced Analysis I | Fall 2010 |
---|
Faculty: Jerry L. Kazdan
Telephone: (215) 898-5109
email: kazdan AT math.upenn.edu
Office Hours: Wed. 10:30-11:30 (and by appointment) in DRL 4E15TA: Sneha Subramanian, DRL 4C9
email: ssneha AT math.upenn.eduText: 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
- Thurs. Oct 14 (just after Fall Break)
- Thurs, Dec. 9 (the last day of class). Because of the structure of the course, this will be cumulative, not just since Exam. 1.
- No Final Exam
Some References: books, articles, web pages
Notes:
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:
- Set 0 Due: Thurs., Sept. 9 (Rust Remover. This will not be collected.)
- Set 1 Due: Thurs., Sept. 16. [Late papers: accepted until 1:00 PM Friday.]
- Set 2 Due: Thurs., Sept. 23. [Late papers: accepted until 1:00 PM Friday.]
- Set 3 Due: Thurs., Sept. 30. [Late papers: accepted until 1:00 PM Friday.]
- Set 4 Due: Thurs., Oct. 7. [Late papers: accepted until 1:00 PM Friday.]
Solution of Bonus Problem- Set 5 Due: Thurs., Oct. 21. [Late papers: accepted until 1:00 PM Friday.]
- Set 6 Due: Thurs., Oct. 28. [Late papers: accepted until 1:00 PM Friday.]
- Set 7 Due: Thurs., Nov. 4. [Late papers: accepted until 1:00 PM Friday.]
- Set 8 Due: Thurs., Nov. 11. [Late papers: accepted until 1:00 PM Friday.]
- Set 9 Due: Thurs., Nov. 18. [Late papers: accepted until 1:00 PM Friday.]
- Set 10 Due: Tues., Nov. 30. [Late papers: accepted until 1:00 PM Wednesday.]
- Set 11 Due: Never.
You may find the following lecture notes on Contracting Mappings useful: "The Magic of Iteration" by Richard S. Palais
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].