Fall 2010. MATH5340.

Functional Analysis

Instructor: Luan Thach Hoang
Office: MA 234. Phone: (806) 742-2580 Ext 232. Fax: (806) 742-1112
Email address: luan.hoang@ttu.edu
Homepage: http://www.math.ttu.edu/~lhoang/
Office hours: M W F 2:50pm - 3:50 pm

Classroom and Time: MA 011, M W F 2:00pm-2:50pm.

Course website: http://www.math.ttu.edu/~lhoang/2010Fall-M5340/
Updates about the course and other related announcements will be posted on this webpage.

Prerequisite: Intermediate analysis MATH 5318, 5319 and Real Analysis MATH 5322.

Text: A course in Functional Analysis, 2nd edition by John B. Conway, published by Springer.
Supplementary texts: Functional Analysis, by W. Rudin, published by McGraw-Hill; Functional Analysis, by K. Yosida, published by Springer.

Course Description: Theories of Hilbert spaces and operators on Hilbert spaces, Banach spaces and operators on Banach spaces, fundamentals of topological vector spaces.

Course Outline:

Expected Learning Outcomes: Fundamentals of functional analysis:

Methods of Assessment of Learning Outcomes: Assessment of the learning outcomes will be achieved through homework assignments, two midterm exams, and a final exam.

Grading policy: Homework will be assigned weekly and will count for 30% of the grade. There will be two midterm exams in class, each will count for 20% of the grade. The final exam will count for 30% of the grade. All in-class exams are closed-book. No make-up exams are given unless legitimate documents for excuses are presented to the instructor at least a week in advance. Grading Scale: A: 90%-100%, B: 80%-89%, C: 70%-79%, D: 60%-69%, F: below 60%

Attendance Policy: Students are expected to attend every class and are responsible for all information given in class.

Examination Schedule:

Critical Dates:

Academic Misconduct: Academic dishonesty is intolerable and will be punished to the full extent allowed by the University policy.

Civility in the Classroom: Students are expected to assist in maintaining a classroom environment that is conducive to learning.

Students with Disabilities: Any student who because of a disability may require special arrangements in order to meet course requirements should contact the instructor as soon as possible. "I would appreciate hearing from anyone who has a disability that may require special accommodations. I am sure we can work out whatever arrangements are necessary. Please see me during my office hours."

NOTE: When needed, the instructor will communicate with the students using their TTU email addresses. At the beginning of the semester, the instructor will send out a message to confirm the students' email addresses.