Math 508: Advanced Analysis I |
Fall 2008 |
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Faculty: Jerry L. KazdanTelephone: (215) 898-5109

email:kazdan AT math.upenn.eduOffice Hours: Wed. 10:30-11:30 (and by appointment) in DRL 4E15TA: Peter Du, DRL 4C21

email:home pagedu AT math.upenn.edu

Text:Walter Rudin,Principles of Mathematical Analysis, McGraw-Hill, 1976.The course will mainly follow the order of topics in the Rudin text. This will be similar to the same course I taught in Fall 2006. See its web page Math 508: Fall 2006

Prerequisites & Review Material

Some References:books, articles, web pages

Notes:

Some Basic Inequalities

Completeness of l_{_1}

Two inequalities for integrals of vector valued functions

Homework Assignments:

- Set 0 (pdf) Due: Thurs., Sept. 4 (Rust Remover. This will not be collected.)
- Set 1 (pdf) Due: Thurs., Sept. 11. [Late papers will be accepted until 1:00 PM Friday.]
- Set 2 (pdf) Due: Thurs., Sept. 18. [Late papers will be accepted until 1:00 PM Friday.]
- Set 3 (pdf) Due: Tues., Sept. 30. [Late papers will be accepted until 1:00 PM Wednesday.]
- Set 4 (pdf) Due: Thurs., Oct. 9. [Late papers will be accepted until 1:00 PM Friday
in Peter Du's office: DRL 4C21.]- Set 5 (pdf) Due: Thurs., Oct. 23. [Late papers will be accepted until 1:00 PM Friday.]
- Set 6 (pdf) Due: Thurs., Oct. 30. [Late papers will be accepted until 1:00 PM Friday.]
- Set 7 (pdf) Due: Thurs., Nov. 6. [Late papers will be accepted until 1:00 PM Friday.]
- Set 8 (pdf) Due: Thurs., Nov. 13. [Late papers will be accepted until 1:00 PM Friday.]
- Set 9 (pdf) Due: Tues., Nov. 25. [Late papers will be accepted until 1:00 PM Wednesday.]
- Set 10 (pdf) Due: Never
You may find the following lecture notes on

Contracting Mappingsuseful: "The Magic of Iteration" by Richard S. Palais

Exams:(you may always use one 3"x5" card with notes on both sides)

Exam 1 (pdf) (Thurs, Oct. 16, 2008)

Exam 2 (pdf) (Thurs, Dec. 4, 2008) [solutions]

Old Exams:

Exam 1, Fall 06 [solutions]

Exam 2, Fall 06 [solutions].