Real Analysis I - Math 630 - Fall 2014
Prerequisite: MATH411; or students who have taken courses with similar or comparable course content may contact the department.
General description:Lebesgue measure and the Lebesgue integral on R, differentiation of functions of bounded variation, absolute continuity and fundamental theorem of calculus, Lp spaces on R, Riesz-Fischer theorem, bounded linear functionals on Lp, measure and outer measure, Fubini's theorem.


Lectures:      MWF 9:00 am - 9:50 am
Room:           MTH 0103
Instructor:     Dr. K. Okoudjou
Contact:           Office: MTH 2111 (Mathematics Building);Phone: 301-405-5081;email: kasso(at)math(dot)umd(dot)edu
Office Hours: Monday, Wednesday 11:00 am - 12:00pm, Friday 12:00pm - 1:00pm, 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/syl630-FA14.pdf
Course web page:     http://www-users.math.umd.edu/~kasso/math6300FA14.html
Grader: Robert Maschal; email: rmaschal(at)math(dot)umd(dot)edu; Office Hours: Thursdays 4:00 pm - 5:00 pm, Office: MTH 4202

Homework and Examinations: There will be 7 sets of homework problems during the semester. Homework assignments are due in class on Mondays, covering the previous two weeks' 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 bi-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.
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
Chapter 1; 2.1 2 weeks HW 1. Due 9/15
Chapter 2 (2.2-2.3; 2.5) 3 weeks HW 2. Due 9/29
HW 3. Due 10/13
Chapter 3 (3.1 - 3.4; 3.6 3.7) 3 & 1/2weeks HW 4. Due 10/27
HW 5. Due 11/10
Chapter 4 (4.1 - 4.6) 3 & 1/2 weeks HW 6. Due 11/26
Chapter 5 (5.5) 2 weeks HW 7. Due 12/12