**Head of Department: **Professor, D.Sc. in Pedagogics, Ph.D. in Physics and Mathematics – Natalia V. Brovka

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

- boundary-value problems of the analytic function theory and their applications;
- function spaces;
- approximation theory;
- harmonic analysis;
- integral operators and equations;
- mathematical analysis applications;
- methods of teaching mathematical analysis and the theory of functions of a complex variable

- Mathematical Analysis;
- Theory of functions of a complex variable;
- Integral Equations.

- 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;
- applications of mathematical analysis
- orthogonal series theory;
- Fourier transform and wavelets theory;
- Methods of teaching mathematical analysis;
- Methods of teaching the theory of functions of a complex variable.