Faculty of Mathematics and Computer Sciences

Duration: 4 years (8 semesters)

Full-time program

Profiles:

• Mathematical modelling;
• Teaching Mathematics.

The professional activity of the graduates is related to

• Mathematical methods and the application of computer technology,
• Creating and using mathematical models of processes and objects,
• Development of effective mathematical methods for solving problems in science, technology, economy, management, information security,
• Modern problems of theory and methodology of teaching mathematics.

Future professions:

• IT specialist,
• programmer,
• Mathematician,
• mathematical engineer,
• Analyst,
• Mathematical modelling consultant,
• Mathematical and computer model developer,
• Mathematics and computing teacher.

Main subjects studied:

• Mathematical, complex and functional analysis;
• Algebra;
• Differential and integral equations;
• Programming Techniques;
• Analytic and Differential Geometry;
• Discrete mathematics;
• Probability Theory;
• Mathematical statistics;
• Theory and methods of teaching mathematics and computing.

Duration: 4 years (8 semesters)

Full-time program

Profiles:

• Computing, Software Information Systems and Computer Engineering;
• Mathematical and computational modelling;
• Algebra, number theory and discrete analysis.

Graduates have a fundamental education in mathematics, but also a professional background in computer science.

Their professional activities are related to mathematical modelling, computer engineering, programming, information systems and technologies, computer security.

Graduates can work as mathematicians, analysts, software engineers, system administrators, web designers in many fields of science and industry.

Main subjects studied:

• Mathematical, complex and functional analysis;
• Partial differential equations;
• Fundamental and computer algebra;
• Mathematical packages;
• Fundamentals of Computer Science;
• Programming Techniques;
• Numerical methods;
• Information Security;
• Computational Geometry and Geometric Modelling.

Duration: 5 years (10 semesters)

Full-time program

The programme prepares students for one of the most popular professions in the era of global computerisation — teacher of mathematics and informatics.

The knowledge and skills acquired during the educational process will enable the students to use modern information technologies in their professional activity, to develop software resources, to work with databases, to design web resources, as well as to effectively apply basic mathematical preparation and knowledge in the field of informatics in the teaching of mathematics and informatics.

Main subjects studied:

• Mathematical analysis, abstract and computational algebra;
• Analytical geometry;
• Elements of Functional Analysis;
• Programming;
• Software;
• Operating systems;
• Computer Networks;
• Interactive technologies in education;
• Theory and methods of teaching mathematics and computing;
• Pedagogy;
• Psychology.

Duration: 5 years (10 semesters)

Full-time program

Profiles:

• Fundamental Mathematics and its Applications;
• Computational Mechanics and Engineering.

The professional activities of graduates are aimed at

• Fundamental problems of mathematics,
• Effective algorithms for solving applied problems,
• Information security issues and the processes of optimal management and safe operation of any industry.

Our graduates can study a wide range of problems in different disciplines (mechatronics, additive technologies, programmable devices, applications in agriculture, economy, production, etc.).

Their main scientific interests are

• Applied Mathematics and Numerical Analysis;
• Data analysis and machine learning techniques;
• Computational mechanics;
• Function theory methods in mathematical physics and their applications;
• Computational implementation of these methods.

Main areas of study:

• Mathematical, complex and functional analysis;
• Differential and integral equations;
• Partial derivative equations;
• Analytic and Differential Geometry;
• Algebra;
• Theoretical Mechanics;
• Theoretical Numerical Methods in Cryptography;
• Information Security;
• Algorithms for Statistical Data Analysis.

The Department of Theory of Functions was established in 1970 and was headed by the first Vice-Rector for Research, Professor I. Mityuk. At present it is headed by Associate Professor M. Golub, Doctor of Physics and Mathematics.

Recent and ongoing projects relate to the following applications

• Acoustic metamaterials;
• Machine learning applications in mechanics and agriculture;
• Non-destructive testing and condition monitoring of structures.

Over the past decade, members of the team have won competitive research awards, grants from the Humboldt Foundation and DAAD (Germany), the Swedish Institute Scholarship, the Russian Presidential Scholarship for Young Scientists, the Medal of the European Academy and the Medal of the Russian Academy of Sciences.

Employees of the department regularly participate in conferences at the all-Russian and international level, and organise the international school conference «Complex analysis and its applications».

In August 2018, Professor E. Scherbakov spoke at one of the largest events of the quadrennium in the field of mathematics — the Congress of Mathematics in Rio de Janeiro (Brazil).

In 2019, members of the Department presented their results at the International Acoustic Congress in Aachen (Germany), the International Conference dedicated to the 90th anniversary of Academician Y. Reshetnyak, the 14th International Conference on Mathematical and Numerical Approaches in the Study of Wave Propagation in Vienna (Austria).

The Department of Computational Mathematics and Informatics was established in 1993 for the teaching of computational and applied disciplines in the Department of Mathematics. Since then, Associate Professor S. Haydenko, Candidate of Physics and Mathematics, has been the head of the department.

The main research directions of the Department of Computational Mathematics and Informatics are as follows

• Boundary value problems for differential equations in partial derivatives (qualitative theory, existence and uniqueness of generalised solutions, their behaviour near the boundary, numerical methods for differential problems in the generalised formulation, numerical methods of mathematical physics);
• numerical methods for solving integral equations in mathematical models of hydro- and aeromechanics);
• Theoretical and practical problems of artificial intelligence, analysis of neural networks;
• Predictive models;
• Optimal control theory; parallel computing, databases, web programming.

Since its establishment in 2005, the Department has been headed by Prof. S. Grushevskii, Doctor of Pedagogy. The Department employs three Doctors of Sciences and 14 Candidates of Sciences. More than 10 candidates and doctors of Pedagogics have defended their dissertations.

The teachers of the department publish the results of their research in scientific journals which are indexed in international bases, in the editions included in the RSCI, and the editions recommended by the advisory councils of Higher Attestation Commission. They participate in scientific-practical conferences of different levels, in international, all-Russian and city Olympiads, competitions and seminars.

There is active work on research grants:

• In 2020-2021 «Designing software and methodological support of distance learning for gifted children in the paradigm of digitization of education (in the subject of physical and mathematical disciplines)»;
• in 2020-2022 «Creation of a centre for engineering-mathematical and digital education»;
• 2021-2023 «Digital didactics for subject teaching, pupils’ educational work and teachers’ professional training».

The Department of Functional Analysis and Algebra was established in 2013 with the reorganisation of the Department of Higher Algebra and Geometry and the Department of Differential and Integral Equations. The Department is headed by Associate Professor, Candidate of Physics and Mathematics V. Barsukova.

In 2018, the department, with the Institute of Mathematics and Mechanics of the Ural Branch of RAS, held an international school conference on group theory.

Under the leadership of Professor A. Rozhkov, Doctor of Physics and Mathematics, the Department implements a master’s programme «Algebraic methods of information protection». The development and improvement of this programme is supported by a grant from the V. Potanin Foundation. Within the framework of the programme, active research is carried out with students, in particular on the application of Julia in experimental (computational) number theory and cryptography.

The Department of Mathematical and Computer Methods was established in September 2013 and now is the base for the profile «Mathematical and Computer Modelling» in the Bachelor’s/Master’s degree programmes in «Mathematics and Computer Science». Currently, the Department is headed by Associate Professor, Candidate of Physics and Mathematics A.V. Lezhnev.

The scientific interests of the department include

• Modelling in fluid and gas mechanics (relevant for food, oil and gas, chemical industry, medicine);
• Modelling and optimisation of economic processes and systems;
• Mathematical processing of digital images (computer vision tasks, control of unmanned aerial vehicles).

Activities of the Department are connected with problems of artificial intelligence, practice of application of artificial neural networks, development of computer algorithms and programs, problems of mathematical physics.