|
MATH 8041 (old 557)
Fall 2009 |
Real Analysis I
Course Information |
| Instructor |
Cristian E. Gutiérrez Wachman Hall 432 Phone: 1-7284 email: gutierre@temple.edu |
| Lectures | Tuesdays and Thursdays 12:30 - 1:50 PM, Wachman Hall 527. |
| Text | Measure and Integral, An Introduction to Real Analysis, by R. Wheeden and A. Zygmund, Marcel Dekker, 1977, ISBN: 0824764994. |
| Additional references |
B. Makarov et al., Selected problems in real analysis, Translations of Math. Monographs,
vol. 107, American Mathematical Society, 1992, ISBN: 0821809539.
Containing many beautiful exercises and problems at different levels of difficulty.
Real Analysis : Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis III) by Elias M. Stein and Rami Shakarchi, Princeton University Press (2005), ISBN: 0691113866. |
| Syllabus | This course and its continuation, Math 558, covers the core areas of analysis. It focuses on the development of Lebesgue measure and integration theory, differentiation, abstract measures and integration, Hilbert spaces, and Hausdorff measure and fractals. Emphasis will be on exercises and problems. |
| Homework |
Approximately every two weeks there will be homework that will be collected.
|
| Solutions to Exams | |
| Evaluation | There will be two tests, and a comprehensive final exam. The final grade will be based on the homework, tests and final exam. |
| Problems | Click here. |