MATH 497B Elements of Functional Analysis Fall 2013

Lectures: Monday, Wednesday, Friday 1:25-2:15 p.m. in 113 McAllisterRecitation: Tuesday 1:25-2:15 p.m. in 113 McAllisterInstructor: Boris Kalinin http://www.personal.psu.edu/bvk102/E-mail: kalinin@psu.eduOffice, phone: 338 McAllister Building, 814-865-5181Office hours: Monday, Wednesday, Friday 2:20-3:20 p.m., or by appointmentTeaching assistant: Shilpak BanerjeeOffice, phone, e-mail: 010 McAllister Building, 814-863-9675, banerjee@math.psu.eduOffice hours: Tuesday 2:15-3:15 p.m., Thursday 2:30-3:30 p.m., or by appointment

Text: Elements of the Theory of Functions and Functional Analysisby A. N. Kolmogorov and S. V. Fomin. Dover Publications, 1999. ISBN: 978-0486406831

Course description: This course is a part of the MASS Program. The course will introducestudents to various ideas and techniques of functional analysis. The topics covered willinclude normed vector spaces and examples; Banach and Hilbert spaces; functionals andoperators on vector spaces; elements of measure theory and spaces of integrable functions.Additional topics and applications will be explored as time permits.

Attendance: You are expected to attend every class.

Homework: Homework assignments will be given on a weekly basis and will be collectedon Wednesdays. The solutions must be neatly and clearly written and logically structured.

Exams, Project, and Grading Policy: There will be a written midterm exam and anoral final exam, the latter will include the presentation of your project. Projects will beassigned in the first half of October. The course grade will be based on your performanceon the midterm exam, the final exam, homework and the project.

Academic Integrity: All Penn State Policies regarding ethics and honorable behaviorapply to this course. http://www.psu.edu/ufs/policies/

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In order to receive consideration for reasonable accommodations, you must contact the appro-priate disability services office at the campus where you are officially enrolled, participate inan intake interview, and provide documentation: http://equity.psu.edu/ods/doc-guidelines.If the documentation supports your request for reasonable accommodations, your campussdisability services office will provide you with an accommodation letter. Please share thisletter with your instructors and discuss the accommodations with them as early in yourcourses as possible. You must follow this process for every semester that you request accom-modations.