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Theory of Functions of a Real variable II MAT 5213 Spring, 2009 Instructor: J. Iovino |
Textbook
H. L. Royden, Real Analysis, Third Edition, Prentice Hall, 1988.Content
Part III of Royden's book (general measure and integration theory).Evaluation
There will be five problem sets. Each problem set will be worth 20% of the grade.You should be prepared to sustentate your solutions orally.
Material covered
- 1/13: Introduction. Section 11.1.
- 1/15: Section 11.1.
- 1/20: Exercises.
- 1/22: Exercises.
- 1/27: Section 11.2.
- 2/3: Section 11.3.
- 2/5: Section 11.3.
- 2/10: Section 11.3.
- 2/12: Exercises.
- 2/17: Section 11.5.
- 2/19: Exercises.
- 2/24: Section 11.5.
- 2/26: Section 11.6.
- 3/3: Section 11.6.
- 3/5: Section 11.6.
- 3/17: Section 11.7.
- 3/19: Section 11.7.
- 3/24: Digression: convexity.
- 3/26: Section 11.7.
- 3/31: Section 11.7.
- 4/2: Section 11.7.
- 4/7: Section 11.7.
- 4/9: Section 11.7.
- 4/14: Topological prelimiraies.
- 4/16: Topological prelimiraies.
- 4/21: Topological prelimiraies.
- 4/23: Topological prelimiraies.
- 4/28: Presentation. Here are Jonathan's notes.
- 1/15: Section 11.1.
Assignments
- Assignment 1. Due 2/24.
- Assignment 2. Due 3/19.
- Assignment 3. Due 4/7.
- Assignment 4. Due 4/28.
- Assignment 2. Due 3/19.
How to contact the instructor
Office: SB 4.02.50
Telephone: 210-458-5531
Email: iovino at math.utsa.edu
Office hours: Tuesdays and Thursdays, 3:30-5:00 pm, or by appointment.
