Real Analysis II - Math
631 - Spring 2015
Prerequisite: MATH 630; or students who have taken courses
with similar or comparable course content may contact the department.
General description: Abstract measure and integration theory,
metric spaces, Baire category
theorem and uniform boundedness principle, Radon-Nikodym theorem, Riesz
Representation theorem, Lebesgue decomposition, Banach and Hilbert
Spaces, Banach-Steinhaus theorem, topological spaces, Arzela-Ascoli and
Stone-Weierstrass theorems, compact sets and Tychonoff's theorem.
Lectures: TuTh 12:30 pm - 1:45 pm
Homework and Examinations: There will be
13 sets of
homework problems during the semester. Homework assignments are due in
class on Tuesdays, covering the
previous week's material. There will be graded and returned to you.
No late homework will be accepted. It is OK to work on the problem
sets in cooperation with others, but you must write up the solutions by
yourself. In addition to the weekly homework assignments, there will be
one (in class) midterm exam and a final exam .
Room: MTH 0302
Instructor: Dr. K. Okoudjou
Office: MTH 2111 (Mathematics Building);Phone: 301-405-5081;email:
Office Hours: Tuesday & Thursday 11:00 am - 12:15pm, or by appointment.
Text: John J. Benedetto and Wojciech Czaja;
Integration and Modern Analysis, SPRINGER, 1st edition,
Course web page:
Tentative schedule for the exam and the final exam
- Exam: Tuesday, March 24, 2015.
- Final Exam: Tuesday, May 19, 2015, 1:30-3:30 pm
The midterm exam is worth 50 points, the final exam is worth 100
points, and the homework assignments are worth 50 points (the lowest three homework
scores will be dropped).
Tentatively, letter grades will be based on your accumulated points
at the end of the semester, according to the following scheme: 90%-A;
80%-B; 70%-C; 50%-D.
- Attendance and absences : You are responsible for
the material covered in class, whether you attend or not. You are also
responsible for the announcements made during class; they may include
changes in the syllabus.
If you need accommodations because of a disability,
please inform me immediately.
- Tentative Course Outline & Homework assignments (
Chapter numbers are from the Textbook )
|2.3 -- 2.5 & 3.6
|| HW1 Due
HW7 Due 3/24
HW9 Due 4/7
|Topics from Appendix A