Mathematical Models in Interdisciplinary Research

Profession

The area of professional activity of the master in applied mathematics and computer science is research work with an emphasis on interdisciplinary research, the construction of mathematical models and the study of them by analytical methods; development of algorithms, methods, software; creation, support and administration of information and communication systems, as well as work in general educational organizations, professional educational organizations and organizations of additional education. The success of professional activities in these areas is based on the elegance and universality of mathematical models, the power of modern computer systems and the effectiveness of the latest information technologies.
Graduates are in demand in all organizations and structures where computer technology is used. They can engage in research activities, are able to solve urgent problems of fundamental and applied mathematics, improve and implement new mathematical methods for solving applied problems, develop mathematical models and analyze them when solving problems in the field of professional activity, combine and adapt existing information and communication technologies to solve tasks in the field of professional activity, taking into account information security requirements.

Educational Process

The master’s program sets itself the goal of forming future specialists with modern knowledge in the field of solving theoretical and applied problems, and instilling in students a penchant for research. The obligatory part of the program includes fundamental training in mathematical disciplines, the study of modern mathematical methods, and active research work.
During the training program, students study the following disciplines:
First year of study:
— Basic part
Foreign language in the professional activities of the master
History and Methodology of Mathematics and Computer Science
Computer technologies in science and education
Applied problems of mathematical modeling
Scientific programming
Continuous Mathematical Models
Computing experiment technology
— Variable part
Nonlocal boundary value problems
High-performance computing processes in problems of mathematical physics
Nonlinear problems of mathematical physics
Neural networks
Mathematical models in economics and ecology

Practice

The research work and practices envisaged by the curriculum are carried out on the basis of the Scientific Center for Nonlinear Problems of Mathematical Physics of the Mathematical Institute named after Academician S.M. Nikolsky.
For masters, master classes are held annually by leading experts and representatives of employers from real sectors of the economy, Russian and foreign scientists from leading universities and research centers. There is an all-Moscow scientific seminar on differential and functional-differential equations, in which major Russian and foreign mathematicians, teachers, students, graduate students and doctoral students take part. Mathematical Institute. CM. Nikolsky closely collaborates with Moscow State University. M.V. Lomonosov Mathematical Institute. V.A. Steklov RAS, Computing Center RAS. A.A. Dorodnitsyna, Moscow Aviation Institute.

Career

The acquired knowledge and practical skills allow graduates to work in scientific and research centers. Graduates are in demand in the aviation and space industries, and thanks to teacher training, also in education. In addition, many of them work in the financial sector: banks, major insurance companies, investment and pension funds.
Examples of professions:
— Researcher at a research institute;
— programmer, system administrator in IT enterprises and divisions of commercial organizations;
— financial analyst and applied programmer in the financial divisions of state and commercial organizations;
— teacher in a higher education institution
There is the possibility of continuing studies in graduate school in the following areas:
— 01.06.01 “Mathematics and Mechanics”
— 09.06.01 “Informatics and computer engineering”