** Math 6255 (CRN #85562) **

** Functional Analysis **

#### TR: 9:30 am - 10:45 am, McB 204

Instructor: Martin Klaus
(klaus@math.vt.edu)
**Office**: McBryde 472, phone 231-6533

**Office Hours**: TR: 2:00 pm - 3:00 pm, or by appointment

**Text**: ``Introductory Functional Analysis with Applications'' by E. Kreyszig

**Course Content**: Functional Analysis is an important tool for the study of various branches of physics like
quantum mechanics and related areas in mathematics like ordinary and partial differential equations and the calculus of variations.
The mathematical problems that arise in these areas require us to work in spaces of infinite dimensions and to combine methods of analysis
(real and complex) and linear algebra. For example, we may think of a differential operator as a linear map on a large set of functions
(an infinite dimensional function space). This leads to the study
of linear functionals and, since the space is infinite dimensional,
to questions about the convergence of sequences and series in the space;
these questions are then treated with the tools of analysis.
This is a two-semester course with the first semester being devoted to the study of spaces and bounded linear operators.
In the second semester we will study unbounded operators and their
application in various areas.

**Homework**: Homework will be assigned regularly and it
will be graded. You are encouraged to discuss homework problems with me
or other students. However, the work you turn in should be written up
independently and reflect your understanding of the material.

** Evaluation**: Your grade will be based on the homework and
additional projects including presentations. An important criterion
will be the effort you put into your assignments.

** Honor system**: I will assume that you have read
the Va Tech Honor policy and I expect you to abide by it.

If you are not on the class roll that comes out after the last add date,
immediately check your schedule at a terminal and start attending the
proper section. For no forseeable reason (computer and registrar
personnel mistakes included) will you be allowed to stay in the wrong
section or to drop a section for which you are actually enrolled
after the last drop date. By simply attending a section you will
not be placed on its roll.

*Mathematics Department*

*Virginia Polytechnic Institute & State University*

* Last updated on Wednesday, August 23, 2017.*