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
Room:           MTH 0302
Instructor:     Dr. K. Okoudjou
Contact:           Office: MTH 2111 (Mathematics Building);Phone: 301-405-5081;email: kasso(at)math(dot)umd(dot)edu
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, 2009,ISBN: 9780817643065.
Syllabus:     http://www-users.math.umd.edu/~kasso/syl-SP15.pdf
Course web page: http://www-users.math.umd.edu/~kasso/math631SP15.html
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 .
Tentative schedule for the exam and the final exam
Grading: 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 )
Material Schedule Homework
2.3 -- 2.5 & 3.6
2 weeks HW1 Due 2/3
HW2 Due 2/10
HW3 Due 2/17
Chapter 5
3 weeks HW4 Due 2/24
HW5 Due 3/3
Chapter 6
3 weeks HW6 Due 3/10
HW7 Due 3/24
HW8 Due 3/31
Chapter 7
2 weeks HW9 Due 4/7
HW10 Due 4/14
Topics from Appendix A
4 weeks HW11 Due 4/21
HW12 Due 4/28
HW13 Due 5/5