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Functional Methods in Differential Equations and Interdisciplinary Research
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Functional Methods in Differential Equations and Interdisciplinary Research

People's Friendship University
Moscow, Russia
 1282 Points
2 Years

Program Description

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.

Entry Requirements

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Bachelor's Degree
Degree from State Technical Institute
English Level

Additional Required Documents:

  • A copy of the medical certificate on the absence of contraindications for studying in the Russian Federation and on the absence of HIV and AIDS.
  • Photo.

Other Optional Documents:

  • For example, confirmation of victory in international Olympiads or professional competitions.

Important Information:

  • Personal portfolio of talented applicants will be taken into account. The portfolio is considered according to the following criteria:
  1. average academic grade at the previous level of education, including grades in specialized subjects (max — 45 points)
  2. achievements in educational and social activities, certificates, diplomas, etc. (max — 5 points)
  3. certificate of a foreign language proficiency (5 points)
  4. applicant status based on the results of participation in competitions / Olympiads for foreign citizens (winner — 15 points, prize-winner — 10 points)
  5. recommendations (or other similar documents) from public organizations, associations, Russian missions abroad, foreign diplomatic missions, faculties of RUDN University, etc. (5 points)
  6. volunteer activity (5 points)
  7. position of the university whose document on education the candidate provides upon admission, in the world rankings (10 points)
  8. letter of motivation (10 points)


Year 1

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

Year 2

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


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

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