SYLLABUS –MATH 5132

Fall 2009

Course title: Real Analysis

Class time/location: M & W 7:00-8:20 p.m./BAYOU 1211

Instructor: Dr. Zack (also known as Zokhrab) Mustafaev

Office: Bayou 3521-6, phone: (281) 283-3735

E-mail: mustafaev@uhcl.edu

Office hours: Mon & Wed 4:00-5:20 p.m., Tu & Th 3:00-3:50 p.m., and by appointment

Text: Principles of Real Analysis, C.D. Aliprants and O. Burkinshaw, Academic Press, 3rd Edition

Prerequisites: Intro to Analysis

Content: An introduction to Lebesque measure, the Lebesque integral and the classical Banach spaces.

Course Objectives/Learning Outcomes: Upon completion of this course, students should have mastery of the following concepts: 1) elementary metric space topology, with special emphasis on euclidean spaces 2) basic properties of Lebesgue measure and the Lebesgue integral; 3) general measure and integration theory in an abstract measure space.

Homework: A typical homework assignment will consist of a few of the assigned problems on each area when content is introduced. I will regularly collect two homework exercises on Wednesday at the beginning of class. No later homework will be accepted. Students are responsible for the solution of homework problems. It is allowed to discuss homework problems with others in class. However, you must write up your own solutions independently and individually. I strongly encourage you to see me if you are having difficulty with the material in this course. I will do my best to help you overcome any difficulties with the material.

Exams: There will be two exams. Exams will be taken on the assigned date. Personal illness or a family emergency, accompanied by appropriate documentation, are the only excuses for submitting a late homework assignment or for requesting a make-up exam.

Grading: Exam I - 40%, Final - 40%, HW - 20%

Attendance: Students are expected to attend class regularly and to take exams as scheduled unless arrangements are made in advance. A student is responsible any work missed due to absence.

Honesty Policy: The Honesty Code is the university community’s standard of honesty and is endorsed by all members of the University of Houston - Clear Lake academic community. It states: I will be honest in all my academic activities and will not tolerate dishonesty.

Disabilities: If you are certified as disabled, please notify me as soon as possible. If you are not currently certified and believe you may qualify, please contact to the UHCL Health and Disability Services office.

Remark: September 8, 2009; Last day to Drop/Withdraw without Grade Penalty