Functional Methods in Differential Equations and Interdisciplinary Research

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.