Instructor: Dr. Pawel Gora,
LB-901-17, tel.: 848-2424, ext.
3257
e-mail: pawel.gora@concordia.ca
Office
hours:
Mondays 12:30-13:00 and 14:45-15:15
Wednesdays 14:45-16:00 , at LB-901-17
or by
appointment.
Textbook:
Real
Analysis, by H.L. Royden, Macmillan,
1988 (3rd or 4th Edition).
Suggested
References: Real
Analysis, Measure Theory and Integration,
by E.M. Stein and R.
Shakarchi, Princeton University Press, 2005.
Functional
Analysis, by
E.M. Stein and
R. Shakarchi, Princeton University Press,
Macmillan, 2011.
Topics:
The main
part of the course will consist of the following topics
taken from the text (Chapters 3-6, 11, 12 in Royden, 3rd
edition):
-
Lebesgue measure
- Lebesgue
integral
-
Differentiation and integration
-
Lebesgue (Lp) spaces
- Abstract
measure theory
Additional topics may be covered if time permits.
There will be one class test and
the final exam (3 hours).
Assignments will be given
every week and solutions should be returned to
the instructor on due time. No late assignments
will be accepted.
The final grade will be either a 100% final exam mark or a combination: 60% final exam + 20% test + 20% assignments, whichever is higher.
Assignments make an important
part of a course, as it is generally believed
that the only way to learn mathematics is to
work independently on problems.
Solutions will be posted in pdf format at
http://www.mathstat.concordia.ca/faculty/pgora/m467/
Assignments: #1 , #2 , #3 , #4 , #5 , #6 , #7 , #8 , #9 , #10 , #11
Solutions: #1 , #2 , #3 , #4 , #5, #6 , #7 , #8 , #9 , #10 , #11