Courses for Bachelors and Master Programs

The Chair suggests two circles of elective courses for bachelors who want to prepare themselves for master programs: ‘Comples Analysis’ (supervisor – Prof. S.R.Nasyrov ) and ‘Functional Analysis’ (supervisor – Prof. D.Kh.Mushtari). The students start to be involved in the Chair's scientific problems from very early steps in their university courses.

Special and elective courses in functional analysis:

• Locally convex spaces
• Banach algebras and their representations.
• Geometry of Banach spaces
• Elementary theory of Hilbert spaces
• Spectral theorem
• Vector spaces.
• Finite-dimensional operator algebras
• Glison theorem
• Topological vector spaces
• Elementary theory of von Neumann algebras
• Theory of Tomito-Takesaki

Special and elective courses in complex analysis:

• Symmetry method
• Boundary value problems for analytic functions
• Inverse boundary value problems
• Quasiconformal mappings
• Application of the symmetry method to conformal mappings and boundary value problems
• Geometrical theory of functions of complex variable
• Riemann surfaces
• Univalent resolvability of boundary value problems
• Boundary value problems of the mechanics of continuous media
• Complex potential of a flat field with elements of mathematics modeling
• Isoperimetric inequalities