Math 509: Advanced Analysis (Spring 2005)

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 4E15

TA: Calder Daenzer, Office: DRL 3E6A email: cdaenzer AT math.upenn.edu

Text: Walter Rudin, Principles of Mathematical Analysis, McGraw-Hill, 1976.

Some References: books, articles, web pages

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Homework Assignments:

• Set 1 (pdf) (due: Tues., Jan. 18)
  [See inequalities.pdf for solutions of Problem 3 and completeness of \ell_1 (pdf) for Problem 8]
• Set 2 (pdf) (due: Thurs., Jan. 27)
• Set 3 (pdf) (due: Thurs., Feb. 3)
• Set 4 (pdf) (due: Thurs., Feb. 10)
• Set 5 (pdf) (due: Thurs., Feb. 17)
• Set 6 (pdf) (due: Thurs., Feb. 25)
• Set 7 (pdf) (due: Thurs., Mar. 17) You may find the following lecture notes interesting: "The Magic of Iteration" by Richard S. Palais
• Set 8 (pdf) (due: Thurs., Mar. 24)
  The folllowing notes give a useful application of implicit function theorem Matrices: A(t).
• Set 9 (pdf) (due: Thurs., Mar. 31)
• Set 10 (pdf) (due: Thurs., Apr. 14)
• Set 11 (pdf) (due: Thurs., Apr. 21)

Exams: (One 3 × 5 card with notes allowed)
    Exam 1 (PDF) Thursday, March 3, 1:30--2:50
    Final Exam (PDF) Thursday, April 28, 11:00--1:00