Coursework and Final Student's Projects

Teacher

Position & academic degree

Research Areas

Avhadiev Farit Gabidinovich

Head of Department, Professor, Dr.Sc.

• Extreme problems of complex analysis (isoperimetric problems of mathematical physics, generalization of the principle of a hyperbolic metric, accurate  coefficient's estimates).
• Integral inequalities (variational inequalities of Hardy and Rellich for harmonic and polyharmonic operators, Brunn – Minkowski inequalities, and comparition theorems for the moments of domains).
• Geometric theory of functions (constructing of globally univalent mappings families, conformally invariant inequalities, boundary value problems and their applications for hydromechanics).

Agachev Yury Romanovich

Associate Professor, Ph.D.

• The theory of functions approximation by various devices, such as, polynomials and splines.
• Approximate methods for solving integral, differential and integro-differential equations.
• The study of the correct formulation of fractional integral, fractional differential and integro-differential equations.
• Optimization of computational methods.

Bikchantaev Ildar Akhmedovich

Professor, Dr.Sc.

• Differential equations
• Complex analysis

Gubaidullina Renata Kamilevna

Assistant, Ph.D.

• Approximate solution of multidimensional weakly singular and singular integral equations with a polar core.

Kiyasov Sergey Nikolaevich

Associate Professor, Dr.Sc.

• Factorization of matrix functions.
• Systems of singular integral equations.

Makletsov Sergey Vladislavovich

Associate Professor, Ph.D.

• Artificial neural networks (mathematical models and their software implementations, built on the principles of biological neural network's organization and functioning).
• Natural computations (dynamic models derived from nature and based on natural processes, such as evolutionary processes of natural selection, interaction processes of simple living organisms etc.).

Nasibullin Ramil Gaysaevich

Associate Professor, Ph.D.

• Discrete and integral inequalities of Hardy type.
• Harmonic mappings.
• Sufficient conditions for univalence and multivalent.

Ozhegova Alla Vyacheslavovna

Associate Professor, Ph.D.

• Singular integral and integro-differential equations.
• Theoretical substantiation of various approximative methods based on the general theory of approximate methods of analysis.
• Numerical methods for solving problems of aerodynamics, electrical engineering, theory of elasticity, economics, etc.

Pershagin Mikhail Yuryevich

Senior Lecturer

• Theory of functions and approximations.
• Singular integral and integro-differential equations (justification of direct methods, sufficient conditions for the method's convergence).

Salekhov Leonard Garunovich

Associate Professor, Ph.D.

• Convolution equations in the space of generalized functions.
• Multiplicative convolution equations in Vladimirov's algebra.

Salekhova Ilyusya Garunovna

Associate Professor, Ph.D.

• Boundary value problems for analytic functions.
• The Riemann problem in the case of a countable set of contours and its application to the solution of some boundary problems.
• Schwartz problem, mixed problem for the plane and others.

Shafigullin Ilnar Kasiymovich

Assistant, Ph.D.

• Integral inequalities of Hardy type.
• Harmonic mappings.
• Inequalities for operators.