MATH 7132: Functional Analysis
Spring 2006. University of Colorado at Denver

PREREQUISITE:
MATH 6131: Introduction to Real Analysis, or with instructor's approval

HOURS: TR 1-2:15 pm, CU (Dravo) 626.

INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo) 644. Phone: 556-8102.
Office hours: TR 2:30-3:45 pm (or by appointment)
WWW: http://www-math.cudenver.edu/~aknyazev/

TEXTBOOKS:
Required: Introduction to Hilbert Spaces : With Applications by Lokenath Debnath, Piotr Mikusinski,
Hardcover - 522 pages 2 Ed edition (November 1998) Academic Pr; ISBN: 0122084365
Optional independent reading:  Integral, Measure, and Derivative by Georgi. Shilov,  B. L. Gurevich , and
Richard A. Silverman (Translator), ISBN:  0486635198,  Publisher  Dover Publications. (Apparently out of print)

SUBJECT:
Linear metric and normed spaces, spaces of functions, linear operators, compact operators, elements of spectral theory.

CONTENTS:
The class will follow the outline below, touching on each major topic in a depth that will be determined by the pace of the class.

GRADING will be based on 3 quizzes: one quiz for every chapter 1,3,4 (60% of the total grade), and the final test (40% of the total grade). Projects are optional and contribute 10% of extra credit.

IMPORTANT INFOMATION FOR STUDENTS:

Math Dept. Associate Chair: Lynn Bennethum CU-Bldg., Rm. 638 Ph.303-556-4810

Late work: Late work will NOT be accepted.

Missing an Exam: If circumstances arise that prevent you from attending an exam, please contact me ahead of time as I will be much more lenient. Unexplained absences will require hard evidence such as a death certificate, hospital paperwork, etc.

Final Exam: Attendance at the final exam is mandatory. Having the final rescheduled is extremely rare and is not permitted for reasons such as a plane ticket that was purchased earlier or attendance at weddings.


Responsibilities for CLAS Students
*      CLAS students must always have an accurate mailing and e-mail address. Please go to: http://www.cudenver.edu/registrar to update.
*      Students are responsible for completing financial arrangements with financial aid, family, scholarships, etc.


CLAS Incomplete (IW/IF) Policy
The faculty in the College of Liberal Arts and Sciences passed the following policy relating to the awarding of Incomplete grades.  This CLAS policy is consistent with the UCDHSC campus policy.
Incomplete grades (IW or IF) are not granted for low academic performance. To be eligible for an Incomplete grade, students must (1) successfully complete 75 percent of the course, (2) have special circumstances (verification may be required) that preclude the student from attending class and completing graded assignments, and (3) make arrangements to complete missing assignments with the original instructor.  A CLAS Course Completion Agreement is strongly suggested.
 The CLAS Course Completion Agreement is available from the CLAS Advising  Office, NC 2024 or from the Department of Mathematics.

Disability Accommodations
Faculty in the University of Colorado system have both a legal and moral   obligation to provide reasonable accommodations to students with  disabilities.  To be eligible for accommodations, students must be  registered with the UCDHSC Office of Disability Resources and Services  (AR 177, 303-556-3450, 303-556-4766 TDD).  The DRS staff has experience  to assist faculty in determining reasonable accommodations to coordinate  these accommodations.
Spring 2006 Registration and Academic Deadlines
- CLAS students must always have an accurate mailing and e-mail address: http:/www.cudenver.edu/registrar
- Students are responsible for completing financial arrangements with financial aid, family, scholarships, etc.
- January 12, 2006 (5:00 pm) Payment plan deadline for students registering by December 16, 2005. Students who have not applied for financial aid are administratively dis-enrolled for non-payment on January 13, 2006.
- January 19, 2005 (midnight) Last day to be added to the wait-list for a closed course.
- January 17 - January 27, 2006 Students are responsible for verifying an accurate Spring 2006 registration via SMART.
- January 26, 2006 (midnight) Last day to add courses via the web SMART system.
- February 1, 2006 (5:00 pm) Last day to add 16-week structured courses without a written petition for a late add. This deadline does not apply to independent study, internships, and late-starting modular courses.
- February 1, 2006 (5:00 pm) Last day to drop a Spring 2006 course for tuition refund and no transcript notation.
- February 1, 2006 (5:00 pm) Last day for undergraduates and graduates to apply for May 2006 graduation.
- February 10, 2006 (5:00 pm) Last day for CLAS students to add a Spring 2006 course. Treated as an absolute deadline.
- April 3, 2006 (5:00 pm) Last day for students to drop a Spring 2006 course without college approval.
- April 14, 2006 (5:00 pm) Last day for CLAS students to drop a Spring 2006 course. Treated as an absolute deadline.
- May 1, 2006 (5:00 pm) Last day to withdraw (drop all courses) without a written petition.
Other resources for this course
The Center for Learning Assistance
* The Center for Learning Assistance is where students go to get help or insight with class assignments, course-loads, and study skills. The Center also helps with arranging tutoring sessions, which take place in the days or evenings.
                       North Classroom Building (NC) Room 2006
                     (303) 556-2802
             Monday - Thursday 8am-7pm 
                   Friday 8am-5pm

Program Access for Persons with Disabilities
* The University of Colorado at Denver is committed to providing reasonable accommodations and access to programs and services to persons with disabilities.  Students should contact the Disabilities Services Offices. 
                     Arts building 177; 303-556-3450, TTY 303-556-8484.  

Academic Advising Center
* This office serves as the first point of contact for students who are pre-business, pre-engineering, or who have not declared a major in CLAS or CAM.  In addition, the center provides general information and resource referral to all students.
                       North Classroom Building (NC) Room 1 
                                     Phone # 303-352-3520

Career Center
* The Career Center offers a full array of services that prepare students for career success, such as resume help, internship and career counseling and they have a large career library.
        Tivoli Student Union Room 260