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Alexandr Eduardovich Pasenchuk 

Member

Dissertation Council 212.208.29

E-mail:
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Personal page in Russian:
https://sfedu.ru/person/aepasenchuk
Personal page in English:
https://sfedu.ru/en/person/aepasenchuk

Research interests:

Research interests: operators of convolution type, boundary value problems, the operators of linear conjugation, multidimensional Wiener-Hopf operators and Toeplitz in Banach and schktno-normed spaces

Teaching:

  • 1. Algebra
    Read on for direction 01.03.01 "Mathematics", bachelor; 44.03.05 "Pedagogical Education. Mathematics and Physics "Bachelor. Volume 9z course (3 semesters). The course outlines the main provisions of the theory of matrices, linear systems, determinants, polynomials. We study the linear and Euclidean spaces and elements of the theory of operators in these spaces. The basic algebraic structures.
  • 2. Additional chapters of algebra
    Read on for direction 01.04.01 "Mathematics", MSc. The volume rate 3z. The course introduces the basics of Galois theory.
  • 3. Discrete Mathematics
    Read on for directions 09.03.02, 09.03.04 "Applied Informatics" Bachelor. The volume rate 6z. The fundamentals of algebra of logic, the theory of Boolean functions, the theory of sets and mappings of sets, combinatorics bases.
  • 4. Additional chapters of discrete mathematics
    Read on for directions 09.03.02, 09.03.04, 02.03.02 "Applied Informatics", the volume rate 3z. The theory of graphs, some of the problem of optimization g8rafah, theory of algorithms, automata theory.
  • 5. Generalized functions and their applications
    Read on for direction 01.03.01 "Mathematics", Bachelor, 3z volume, direction 01.04. 01 "Mathematics", MSc, volume 4 z. The fundamentals of the theory of generalized functions (L.Shvartsa approach). We give an application of the theory of PF in the theory of partial, theories of convolution type operators.
  • 6. Semigroups of linear operators.
    Read on for direction 01.06.01.72.00 "Mathematics and Mechanics", post-graduate courses. The volume rate 3z. The fundamentals of the theory of semigroups of linear operators in a Banach space. The concept of the generator of the semigroup, are some of the applications in the perturbation theory.
  • 7. Ф-theory
    Read on for the direction of 01.04.01.68. "Mathematics", MSc. The volume rate 3z. It outlines the basic provisions of the theory of Noether operators in Banach spaces. We give Noethericity criteria in terms regularizers, theorems on stability of relatively small and compact perturbations. We give the concept of the index and its properties are studied. We consider Fredholm operators.
  • 8. Equations of convolution type
    Read on for 010100.62.00 specialty "Mathematics", MSc. The volume rate 3z. The theory of discrete Noether operators, convolution, Wiener-Hopf operator pairs in the space of square summable sequences.
  • 9. Mathematics (NSHF)
    Read on for the students directions 38.03.01 "Economy", Bachelor; 09.03.01 "Computer Science and Engineering", Bachelor enrolled in Novoshakhtinsk branch of SFU. It outlines the main sections of the course of higher mathematics provided the PLO.
  • 10. Econometrics (NSHF)
    Read to students the direction 38.03.01 "Economics" Bachelor enrolled in Novoshakhtinsk branch of SFU. The volume rate 3z. The theory of econometric modeling. The focus is on simple and multiple linear regression model, given the application to the problems of the economy.
  • 11. Numerical methods (NSHF)
    Read to students the direction 09.03.01 "Computer Science and Engineering" Bachelor enrolled in Novoshakhtinsk branch of SFU. The volume rate 3z. The methods for solving the linear approximation, differential equations, approximate calculation of integrals. We consider the applied problems.
  • 12. Methods of making optimal decisions (NSHF)
    Read to students the direction 09.03.01 "Computer Science and Engineering", Bachelor enrolled in Novoshakhtinsk branch of SFU. The volume rate 3z. The methods of analysis (optimization methods), algebra and geometry (mathematical programming), the concept of optimization problems on graphs, network planning techniques.