The Chair of Applied Mathematics and Mechanics

Training: 080202- Applied Mathematics

Specialty Applied Mathematics

The head of the chair:Doctor of physical and mathematical science, Professor Leonid A. Fil’shtyns’kyi

Information about the specialty

The chair of Applied Physics has the 3d level of accreditation. The training is done according to 2 educational-qualification levels of bachelor and specialist on the basis of full-time studying on the state and commercial financing basis.

The qualification: Engineer-mathematician.

The specialists have a high level of computer and mathematical training and are able to deal with the tasks connected with data processing and analysis, modeling and forecasting of development of economic, physical and biological systems and processes, in the field of information protection in banking, private firms, security and legal institutions, insurance companies, systems of electronic commerce.

Graduates work as analysts, researchers and programmers in banks, firms, universities, insurance and finance companies, scientific institutions. Graduates are high-class scientists that work in many universities and scientific-research institutions of Ukraine, Russia, England, Spain, Germany, Sweden and the USA.

The History of the Chair

The chair of applied mathematics and mechanics (till June, 1 2002 – the chair of mathematical physics) was created in September, 1995.

Personnel

There are 10 teachers and 4 specialists with a second job working at the chair, including 6 people with scientific degrees.

Scientific Research Work

Scientific research work has been an inseparable part of life at the chair since the time of its foundation. And there was a state budget laboratory organized. It was devoted to the problems of electro-magnetic power with teachers and lecturers in the personnel. As a result of 35-year work of Professor Fil’shtyns’kyi and his colleagues a whole school of specialists in the field of mechanics of solid body, electric and magnetic power and optimal control of coupled physical fields in solid bodies was created in Sumy.

There’s a scientific seminar at the chair. It works with the problems of modern applied mathematics and mechanics.

There’s a scientific club at the chair. It works with the problems of cryptographic protection of information and questions of approximation. Organizers and heads of the club are an associate professor, V.A. Fil’shtyns’kyi and a post-graduate student A.V.Berezhnyi.

Collaborators of the chair take part in the work of international conferences and seminar and have common research work with foreign colleagues from Russia, Greece and the USA.

Results of scientific researches are used in the educational process and such courses as “Integral Equation”, “Modeling of physical fields in deformable bodies” etc.

Scientific-Research Work of the Chair is Done according to the Following Approaches

1. Mathematical basis of cryptographic protection of information
2. Functional methods of approximation
3. Mathematical modeling in economics
4. Mathematical problems of mechanics of coupled fields
5. Fundamental decisions of mathematical physics in mechanics of the continuum
6. Optimal control of conjugated physical fields in deformed bodies
7. Mathematical theory of line-reinforced composite materials; regularly perforated plates with isotropic, anisotropic and piezoelectric ceramic elements of the structure
8. Contact problems of the theory of plates and shells
9. Non-classical problems of the heat conduction and coupled thermoelasticity. Problems of the fractal heat conductivity.

International Cooperation

The chair has contacts with some universities of Ukraine and Russia and also with other foreign countries. The chair has been working with Athens National Technical University for 10 years. There’re some common researches with Russians and American scientists in terms of International Scientific Program INTAS. For the present the chair has contacts with Pensilvania University (USA). In 2007 the agreement about cooperation was signed with Lodzyn Polytechnical University (Poland).

Educational Process

The training at the specialty “Applied Mathematics” is done according to 2 educational-qualification levels of bachelor and specialist on the basis of full-time studying on the state and commercial financing basis.

Disciplines of the specialty “Applied Mathematics” that are taught at the chair of applied mathematics and mechanics.

The training is done according to 19 normative and 15 selective disciplines.

Disciplines (normative) that are taught at the chair of applied mathematics and mechanics for the students of the specialty “Applied Mathematics”.

• Algebra and geometry (1st year);
• Differential equations (2nd year);
• Theory of the function of real variable (2nd year);
• Additional theory of differential equations (2nd year);
• Theory of numbers in cryptography (3d year);
• Theory of functions of the complex variable (3d year);
• Functional analysis (3d year);
• Control theory (3d year);
• Element of the calculus of variations (3d year).

Since the 4th year of their education students have 2 approaches of the specialization:

• mathematical modeling (the chair of applied mathematics and mechanics);
• modeling of complex systems (MCS).

Disciplines (selective part) of “Mathematical modeling”:

• The mathematical theory of cryptography (information protection);
• Introduction to the theory of approximation;
• Elements of the calculus of variations;
• The theory of the generalized function;
• Electrodynamics;
• Modeling of physical processes and systems: modeling of physical processes in deformed bodies;
• Mechanics of the continuum;
• Analytical mechanics;
• Special functions in mathematical physics;
• Numerical methods in mathematical physics;
• Special languages of programming;
• Theory of physics of nano-systems and technologies.

Disciplines (selective part) of “Modeling of complex systems”:

• Theory of fractals;
• Informational technologies in scientific researches;
• Theory of catastrophes;
• Modeling of chaotic systems;
• Theory of complex systems;
• Modeling of synergetic systems;
• Methodology of the computer experiment;
• Modeling of nonlinear dynamic systems;
• The queueing theory;
• Modeling of stochastically disturbed processes and systems;
• Intellectual systems of calculus mathematics.

Methodical Provision of the Chair

All educational disciplines are provided with students’ books, manuals, dictionaries, educational-methodological documentation and other informational materials on paper and in electronic versions.

The methodological department works at the chair (main building, r.809). It’s open 9.00-16.00 every day. Students can find all educational and methodological manuals there.

With the questions concerning methodological provision contact Eleonora V.Ponomarenko.

Contacs

Main Building
8th floor – Rooms 804, 809, 8B.
9th floor – scientific-research laboratory, room 904.
Tel. (80542) 39-22-93, 33-56-28
e-mail: leonid@mphis.sumdu.edu.ua

Post Address:
Sumy State University,
Chair of applied mathematics and mechanics,
2. Rymskyi-Korsakov St.
Sumy, Ukraine
40007