At present, highly-skilled specialists who are able to independently solve complex mathematical problems, which, as a rule, are reduced to the study and solution of differential equations, acquire special value. Today many areas of human activity lack specialists with fundamental mathematical training in the best traditions of classical education. The master program of the Department for differential equations enables us to train such specialists. Professional training allows our graduates to conduct scientific and pedagogical activities professionally, as well as to work as experts and analysts at industrial enterprises and in various organizations and government structures.
The medium of instruction for this program is English.
The study of differential equations and related boundary value problems is found in almost every applied science, and therefore the study and analysis of differential equations solution play a key role. The behavior of solutions largely determines the nature of a process and it is very important for the researcher to have a picture of this behavior. The theory of differential equations and boundary value problems is closely related to other mathematical disciplines, such as harmonic analysis, the theory of functions, the theory of operators and the theory of integral equations. The methods of these mathematical sections are widely used in the theory and often lead to interesting and useful results.
Skills & Competencies
Students will become competent in methods of studying partial differential equations and boundary value problems. They will study the latest achievements in this field and obtain certain research skills and techniques that will help them in their upcoming work on their thesis.
Antoine Dautry / Unsplash
- Equations in discrete spaces;
- Contemporary Mathematics issues;
- Elements of Fourier Analysis;
- Linear Operators in Functional Spaces;
- Advanced Seminar;
- Foreign language in professional field;
- Organization of research;
- Selected problems of partial differential equations theory;
- Selected problems of mathematical analysis;
- Linear Integral Equations.
- Equations of continuum mechanics;
- Theory of elliptic equations and systems;
- Harmonic analysis in the theory of partial differential equations;
- Boundary value problems on graphs;
- Selected problems of complex analysis;
- Singular integral equations.
- Boundary value problems of function theory;
- Equations of mixed type;
- Pseudo-differential operators;
- Elements of spectral theory;
- LaTex and publishing technology to develop mathematical texts;
- Computer technology creating educational materials.
Usually, most theoretical classes are held within the 1st and 2nd terms of the program, yet certain classes may also take place during the 3rd term. While following the program, students will carry out research and experimental work.
Most research work is conducted during the 3rd term of the program. Upon the termination of their research activities, students prepare a Research Account which will be partially covered in their theses.
During the 4th term, students are mainly engaged in working on their theses.
After the program is completed, students who have not prepared their master thesis, receive a Certificate, and those who have prepared and defended it, are awarded a Master's degree in Mathematics.
Admission to International Master Programs is open to both Russian and international students. Given that all classes will be conducted in English, we recommend that non-native speakers of English achieve a TOEFL score of at least 525 (paper-based) or 200 (computer-based) prior to admission. To apply for a two-year Master's program, the applicant must hold a Bachelor's degree in a related field. Upon completion of the program, the applicant will receive a Russian State diploma.
The deadline to submit the application for Fall 2020 is August 10, 2020, however, international students are strongly encouraged to apply by July 20, 2020.