**Head of Department: **Professor, D.Sc. in Physics and Mathematics – Veniamin G. Krotov

**Department Staff:** 4 Professors, 8 Associate Professors, 6 Senior Lecturers, 4 Assistants

### Scientific directions

- boundary-value problems of analytic function theory;
- function spaces;
- approximation theory;
- harmonic analysis;
- integral operators and equations;
- fractional calculus and its applications;
- fractional differential equations of one and several variables and its applications;
- methodic of Mathematical Analysis and Complex Function Theory teaching.

### Specializations

- Mathematical Analysis;
- Complex Function Theory;
- Integral Equations.

### Basic Courses

- boundary-value problems of analytic functions theory;
- Sobolev spaces;
- Hardy spaces;
- basics of approximation theory;
- integral operators;
- interpolation of linear operators;
- singular integral operators;
- integral equations and its applications in mechanics;
- fractional calculus and its applications;
- partial differential equations of fractional order;
- rational approximation;
- singular integral equations;
- special function;
- orthogonal series;
- Fourier transform and wavelets theory;
- methodic of Mathematical Analysis teaching;
- methodic of Complex Function Theory teaching.