Functional Methods in Differential Equations and Interdisciplinary Research

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