Functional Methods in Differential Equations and Interdisciplinary Research
Russian / English
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.
Program presentationpdf 1.9 MB