## Mechanics and Mathematics

## Faculty of Mechanics and Mathematics

**Dean:** Corresponding Member of the Russian Academy of Sciences, Professor Oleg B. Lupanov

**International Students Office: phone:** +7-095-939-5570, fax: +7-095-939-2090

**EMail:** mechmat@nw.math.msu.su

### General Information

The significance of Mathematics in the general system of human knowledge continuously rises. Modern mathematical ideas and methods are becoming more and more necessary for the control of large systems of different kinds: flights of spaceships, industry branches, wide transport systems. Applications of various domains of Mathematics became the part of natural and humanitarian sciences, i.e.: Physics, Chemistry, Geology, Biology, Medicine, Linguistics, Economics, Sociology and etc.

Mechanics is one of the main scientific fundaments of the techniques. On the base of theoretical and experimental analysis of phenomena it studies and develops main laws of motion of the bodies, particles, and mass; it studies mechanical properties of various media; it expresses these laws and properties in the form of mathematical formulas; it formulates the most general laws to solve the problems of the motion.

Our Faculty trains specialists of highest qualification in the areas of Mechanics, Mathematics and Applied Mathematics. Our graduates possess deep theoretical knowledge as well as the technique of scientific experiment.

The Division of Mechanics provides a wide range of experimental facilities including different laboratories of the Institute of Mechanics, that has a variety of scientific and educational equipment. It provides the possibility to fulfill the strict modern experiments.

Courses in Mathematics were delivered since the University foundation in 1755. The Faculty of Mathematics was opened in 1933. It included three divisions: Mathematics, Mechanics and Astronomy. Later the Astronomy Division was transferred to the Department of Physics and the Faculty of Computational Mathematics and Cybernetics had separated from the Faculty.

The names of Moscow University professors in the area of Mathematics D.M.Perevoschikov, N.D.Brashman, P.L.Chebyshev, N.E.Zshukovski, S.A.Chaplygin, N.N.Luzin, P.S.Aleksandrov, A.N.Kolmogorov, S.L.Sobolev, I.G.Petrovski, M.A.Lavrentjev, M.V.Keldysh are well known among mathematicians all over the world.

Nowadays the Faculty of Mechanics and Mathematics is one of the leading scientific centres in the field of Mathematics and Mechanics. About 2,500 undergraduate and postgraduate students study at the Faculty now. The Faculty staff includes 350 professors, associate professors and researchers.

### Departments

- Mathematical Analysis
- Theory of Functions and Functional Analysis
- Differential Equations
- Higher Geometry and Topology
- General Topology and Geometry
- Theory of Probabilities
- Mathematical Statistics and Random Processes
- Mathematical Logic and the Theory of Algorythmus
- Higher Algebra
- Number Theory
- Computational Mathematics
- Differential Geometry and its Applications
- Discrete Mathematics
- Theoretical Mechanics
- Hydromechanics
- Aeromechanics and Gas Dynamics
- Applied Mechanics and Control
- General Problems of Control
- Mathematical Theory of Intellectual Systems
- Theory of Elasticity
- Theory of Plasticity
- Mechanics of Composites
- Gas and Wave Dynamics
- Computational Mechanics
- Studies in Applied Mathematics and Mechanics

### Laboratories

- Theory of Probabilities
- Theory of Computational Medium
- Theory of Large Random System
- Mathematical Statistics
- Logic Problems of Informatics
- Computational Methods
- Computer modelling
- Computer Methods in Natural and Humanitarian Sciences
- Wave processes
- Applied Mathematical Analysis
- Theoretic cybernetics
- Survey of Imitation Dynamic System
- Deformed Media
- Cabinet of Elementary Mathematics
- Cabinet of History of Mathematics and Mechanics

### Bachelour and Master Degrees

5 years full-time

#### Directions

- Mathematics. Applied Mathematics
- Mechanics. Applied Mathematics

#### General Courses (first two years)

- Mathematical Analysis
- Algebra
- Analytical Geometry
- Linear Algebra and Geometry
- Introduction into Mathematical Logic
- Complex Analysis
- Theory of Functions and Functional Analysis
- Differential Equations
- Theory of Probabilities
- Computer Using and Programming
- Computer Practice
- Foreign Language
- Political History of XXth Century
- Philosophy

#### Courses on Speciality

Division of Mathematics:

- Theory of Functions and Functional Analysis
- Differential Equations in Partial Derivatives
- Differential Geometry and Topology
- Theory of Numbers
- Mathematical Statistics
- Theory of Random Processes
- Variation Calculus and Optimal Control
- Computer Practice
- Methods of Computations
- History and Methodology of Mathematics
- Theoretic Mechanics
- Mechanics of the Continuous Media
- Mathematical Logic
- Applied Problems of Algebra
- Theory of Functions and Functional Analysis Applications
- Discrete Mathematics
- Methods of Applied Computations
- Applied Problems of Geometry
- Modern Problems of Mathematical Physics
- Theory of Probabilities and Mathematical Statistics

Division of Mechanics:

- Functional Analysis
- Equations of Mathematical Physics
- Theory of Complex Variables Functions
- Theory of Probabilities and Random Processes
- Computer Practice
- Methods of Computations
- History and Methodology of Mechanics
- Theoretic Mechanics
- Mechanics of Continuous Media
- Physical and Mechanical Practice
- Mechanics of Controlled Systems
- Special Course on Physics

### Master Degree

2 years full-time

#### Directions

- Mathematics. Applied Mathematics
- Mechanics. Applied Mathematics

### PhD Degree

3 years full-time

#### Specialities

- Mathematical Analysis
- Theory of Functions and Functional Analysis
- Differential Equations
- Higher Geometry and Topology
- General Topology and Geometry
- Theory of Probabilities
- Mathematical Statistics and Random Processes
- Mathematical Logic and the Theory of Algorythmus
- Higher Algebra
- Number Theory
- Computational Mathematics
- Differential Geometry and its Applications
- Discrete Mathematics
- Theoretical Mechanics
- Hydromechanics
- Aeromechanics and Gas Dynamics
- Applied Mechanics and Control
- General Problems of Control
- Mathematical Theory of Intellectual Systems
- Theory of Elasticity
- Theory of Plasticity
- Mechanics of Composites
- Gas and Wave Dynamics
- Computational Mechanics
- Studies in Applied Mathematics and Mechanics