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Natural & Applied Sciences
Functional Methods in Differential Equations and Interdisciplinary Research
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Functional Methods in Differential Equations and Interdisciplinary Research

People's Friendship University
On campus
 1279 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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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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