Functional Methods in Differential Equations and Interdisciplinary Research

Functional Methods in Differential Equations and Interdisciplinary Research

Mode of study
Level of study
Master’s Degree
Direction of preparation

Training period
2 Years
Language of study
Russian / English
Cost of education
It is shown that the cost of tuition for one year
For Russia and CIS citizens
For the citizens of the countries of "far abroad"
4100 3730
Russia, CIS - 30% for the program

European Credit Transfer and Accumulation System

First term (30)

  • History and methodology of mathematics – 2 credits
  • Russian language (1-3 terms) – 6 credits, total
  • Computer technology in science and education (1-3 terms) – 10 credits, total
  • Modern problems of mathematics (1, 2 terms) – 7 credits, total
  • Function spaces (1-3 terms) – 11 credits, total
  • Variational methods in the operator analysis (1, 2 terms) – 5 credits, total
  • Elements of algebraic topology – 3 credits
  • Nonlinear problems of mathematical physics, optional course (1, 2 terms) – 6 credits, total
  • Operators in functional spaces, optional course (1, 2 terms) – 6 credits, total
  • Research work (1-4 terms) – 30 credits, total

Second term (30)

  • Analytical-numerical methods for the Navier-Stokes equation, optional course – 4 credits
  • Mathematical models for estimation of loan and other securities, optional course – 4 credits
  • Elliptic boundary value problems in domains with nonsmooth boundaries, optional course – 2 credits
  • Quantitative analysis of the credit and operational risks, optional course – 2 credits
  • The term papers (2, 3 terms) – 4 credits, total

Third term (30)

  • Algebraic properties of differential and integro-differential equations, optional course – 3 credits
  • Mathematical methods in medicine, optional course – 3 credits

Fourth term (30)

  • Pedagogical training – 9 credits
  • Pre-graduation training – 9 credits
  • State examination – 3 credits
  • Thesis defence – 6 credits

Master’s Program “Mаthematics. Functional methods in differential equations and interdisciplinary research” has two main focuses: a) mathematical analysis and b) differential equations. The objective of the program is training experts in the fields of analysis, differential equations, and their applications. The Program lasts 4 terms. Graduates will have skills in handling up-to-date mathematical tools and experience in solving practical issues. The program originated from the constantly growing demand for young professionals with a strong background in fundamental mathematics working in industry.

The key priorities of the programme are:

  • Derivation of mathematical models for applied problems in physics, medicine, biology, engineering, and economics.
  • Solving contemporary problems in the fields of differential equations and functional differential equations with application in natural sciences and industry.
  • Working in a team of fellow researches.
  • Job prospects after the program completion:
    • positions of lecturers and researchers at universities, academic institutions, and computing centers;
    • members of mathematical modelling teams of major industrial corporations;
    • employees in banks analytical departments.