Real Analysis I/Measure Theory and Integration
Prerequisites: A score of 68% or higher in MATH 321.
Instructor
Joel Feldman
Text
I will post all handouts, problem sets, etc. on the web
here.
Other References

H. L. Royden, Real Analysis.

W. Rudin, Real and Complex Analysis.

E. H. Lieb and M. Loss, Analysis.
Topics

Measures
(§1):
Sigmaalgebras, measures
Borel and Lebesgue measures

Integration
(§2):
Measurable functions, integration
Convergence, product measures

Differentiation (§3):
Signed measures, LebesgueRadonNikodym Theorem

L^{p} Spaces (§6):
L^{p} Spaces, Holder and Minkowski inequalities
Dual spaces
Grading

There will be weekly problem sets accounting for about 50% of the final mark.

The final exam will account for about 50% of the final mark.

Grades will probably be scaled.
Policies

The final examination will be strictly
closed book: no formula sheets or calculators will be allowed.

There is no supplemental examination in this course.

Late homework assignments normally receive a grade of 0.
Missing a homework normally results in a mark of 0.
Exceptions may be granted in two cases: prior consent of the instructor
or a medical emergency.