Fundamental Mechanics

Courses in all branches of mathematics

• Algebra
• Mathematical Analysis
• Complex Analysis
• Analytical Geometry
• Differential Geometry and Tensor Analysis
• Discrete Analysis
• Differential Equations
• Probability Theory and Mathematical Statistics
• Methods of Computation • Functional Analysis
• Equations of Mathematical Physics

Courses in programming

• Programming and Computational Workshop
• Computer Architecture and Operating Systems
• Databases and Operating Systems
• Software Packages
• Computational Program Packages
• Computer-Based Methods in Mechanics

Courses in mechanics

• Theoretical Mechanics
• Hydroaeromechanics
• Elasticity Theory

Special courses in all the principal branches of mechanics

• Mathematical Models in Mechanics and Programming
• Finite Element Method
• Stability and Motion Control
• Extremal Problems in Mechanics
• Problems of Robotics
• Problems of Structural Stability
• Vibrations of Elastic Bodies
• Stability of Plates and Shells
• Theory of Nonholonomic Systems
• Vibrations and Waves
• Spacecraft Dynamics
• Nonlinear Problems of Cosmodynamics
• Dynamics of Electromechanical Systems

• Fundamental knowledge in mathematics and programming makes it possible to work in the most high-tech fields of modern mechanics.
• An outstanding team of lecturers and researchers provides training in: theoretical mechanics; mechanics of fluid, gas and plasma; solid mechanics; mechanics of new materials; and biomechanics.
• Students have the opportunity to take part in grants and projects devoted to important theoretical and applied problems of mechanics.
• The existence of acting scientific schools that make it possible for students to be actively engaged in research work directly at the University.
• Work on unique experimental facilities in our own laboratories; combining the capabilities of theoretical and experimental approaches that make it possible for graduates to comprehensively study the most complex problems of mechanics.
• Mastering the application programmes for solving problems of theoretical mechanics, hydroaeromechanics and the theory of elasticity (ANSYS, FLUENT, etc.) and creating their own algorithms and programmes for specific problems of modern mechanics using the cutting-edge computer equipment. 
• Students have the opportunity to: be involved in grant research implemented by the teaching staff; take part in contests of youth projects; and present their reports at international conferences.
• Grants / projects implemented within the framework of the academic programme (the University) 

The Russian Foundation for Basic Research projects

• ‘Investigation of the effects of unstable behaviour of failure characteristics of materials in high-speed and impulse action tests’
• ‘Relationship between crystallographic and thermodynamic features of structural-phase transitions with functional properties of shape memory alloys’
• ‘Non-stability effects of limiting characteristics of fracture and irreversible deformation of materials under dynamic loads’
• ‘Development of shooting methods for shape memory alloy bodies using macroscopic and microstructural models’
• ‘Damage and long-term strength of aged viscous-elastic media’
• ‘Modelling highly non-equilibrium flows of gas mixtures of the atmospheres of Earth and Mars using new approaches of kinetic theory’
• ‘Shock waves in carbon dioxide with regard to vibrational relaxation’
• ‘New efficient methods for calculating the energy exchange rate coefficients in carbon dioxide’
• ‘Structure and properties modification of porous TiNi alloy obtained by self-propagating high-temperature synthesis with simultaneous action of ultrasound’

The Russian Science Foundation projects

• ‘Modelling of nonequilibrium carbon dioxide flows in modern problems of space aerodynamics and environment’
• ‘Development of methods for the numerical simulation of supersonic and hypersonic gas flows using graphic processes’
• ‘Development of the physical basis for the design of shape memory alloy thermal mechanical actuator with a narrow working temperature cycle’
• St Petersburg University projects
• ‘Machine learning in nonequilibrium aerodynamics problems’ 

• Students have an opportunity to take part in research projects that are implemented in collaboration with the world's top scientific centres (the European Space Agency; French and German aerospace research centres) and leading universities in Europe (Great Britain, France, Italy, Germany, Sweden), the USA, Canada, China, Brazil, India, and Belarus.
• Students can take part in academic mobility programmes with the universities of Lappeenranta (Finland) and Stockholm (Sweden).

Professions

Graduates can work as research associates and R&D specialists in the field of mathematical modelling, scientific and applied research for science-driven high-tech industries, production and technology. They can also work as lecturers at higher education institutions, and teachers at secondary general and vocational education institutions.