• Scientific and pedagogical direction - Master of Engineering Sciences

ON1. Conduct research and obtain new fundamental and applied results, plan research in accordance with the approved direction of research in the field of specialization. Apply modern methods of mathematical modeling for scientific research.
ON2. Use the concepts of the essence, mechanisms and patterns of natural-physical, chemical-technological, natural, biological, medical and random processes in the development of conceptual and theoretical models of solvable applied problems.
ON3. Use high-performance computing systems and methods of mathematical and computer modeling in the analysis and solution of applied problems.
ON4. To draft and develop recommendations for the implementation of the research and numerical experiments in the production and financial industry using mathematical and computer simulation methods. Use probabilistic methods to solve actual problems of mechanics, physics, and economics.
ON5. To carry out an in-depth analysis of problems, to produce a substantiation of physical problems, to reveal their natural-scientific essence in the course of scientific and research activities, to apply the corresponding mathematical apparatus and a numerical algorithm to solve them.
ON6. Create mathematical models and apply numerical methods for solving problems of heat and mass transfer with a moving boundary, inverse and ill-posed problems of mathematical physics, biomedical processes, natural-physical processes, chemical processes, financial processes, atmospheric processes, dynamics of multiphase turbulent flows.
ON7. Analyze, design and conduct numerical experiments of constructed mathematical models of industrial, physico-technological, non-linear non-stationary physical, chemical, biomedical, financial processes. Reproduce numerical solutions of engineering problems of hydrodynamics on high-performance systems
ON8. Conduct scientific research in the field of mathematical modeling of heat and mass transfer phenomena, continuum dynamics, thermal and complex processes, mechanical processes, thermodynamic processes in gas dynamics, thermodynamic and electrical processes in solids, applied problems, problems of mathematical physics, and stability theory in economics and technology.
ON9. Apply mathematical and numerical apparatus to research in the field of financial mathematics, computational hydrodynamics, mechanics, turbulence modeling, physical, chemical, biomedical, nonlinear nonstationary physical processes and complex systems for solving applied problems.
ON10. To conduct educational and extracurricular work, have the skills of pedagogical activity. Conduct lectures, seminars and laboratory classes for undergraduate students on the profile of the specialty. To master and introduce new innovative technologies and approaches in the field of education in teaching practice.
ON11. Conduct research to use the results obtained in the framework of the implementation of interstate programs in the field of mathematical modeling, mathematics, biomedicine, physics, chemistry and mechanics. Participate in scientific seminars and conferences.
ON12. To work in a team, tolerantly perceiving social, ethnic, confessional and cultural differences, critically evaluate one’s activity, team one’s activities, outline ways and choose means for self-development, improvement of one’s qualifications.