## Computational Mathematics and Cybernetics

## Faculty of Computational Mathematics and Cybernetics

**Dean:** Corresponding Member of the Russian Academy of Sciences, Professor Evgeny I. Moiseev

**International Students Office: phone:** +7-095-939-5455, **fax:** +7-095-932-8851

**EMail:** fao@cs.msu.su

WWW: http://fao.cs.msu.su/

### General Information

In the fields of Applied Mathematics and Computer Science the Faculty of Computational Mathematics and Cybernetics has an outstanding record with regard to teaching and research in one of the most rapidly changing areas of human knowledge. The Faculty provides the maximum number of possible entry routes into the broad applications of computers in various fields of education, science, technology, economics and management.

The famous mathematician A. N. Tikhonov (1903-1993) was the initiator of the foundation of the Faculty in 1970. Since that time many highly qualified specialists have done scientific research and arranged educational programs. Nowadays more than 250 Professors including 80 Doctors of Science, 8 Full members (academicians) and 10 Corresponding members of the Russian Academy of Science work at the Faculty.

The highly qualified staff, effective forms of students’ training and the modern level of computing facilities ensure that our graduates have a deep theoretical knowledge as well as good skills in practical applications. This makes them immediately employable.

### Departments

- General Mathematics
- Mathematical Physics
- Computational Methods
- Research Automation
- Non-Linear Dynamic Systems and Control Processes
- Operations Research
- Optimal Control
- Mathematical Statistics
- Mathematical Cybernetics
- Systems Analysis
- Mathematical Methods of Forecast
- Algorithmic Languages
- Computer Systems Architecture
- System Programming
- Foreign Languages

### Laboratories

- Mathematical Physics
- Heat and Mass Transfer Simulation
- Computational Methods of Gas Dynamics
- Computational Electrodynamics
- Inverse Problems
- Mathematical Diagnostics and Image Processing
- Statistical Simulation
- Mathematical Modelling in Physics
- Difference Methods
- Statistical Analysis
- Computer Systems
- Microcomputer Systems
- Dialogue Information Systems

### Bachelour Degree

4 years full-time

**Direction:** Applied Mathematics and Informatics

During the first two years students are trained in the fundamental disciplines forming the basis of modern applied mathematics, computer and information sciences studies.

### General Courses

- Mathematical Analysis
- Linear Algebra
- Analytical Geometry
- Discrete Mathematics
- Differential Equations
- Theory of Probabilities and Mathematical Statistics
- Introduction into Informatics (MS-DOS)
- Algorithms and Algorithmic Languages (Pascal)
- Computer Systems Architecture and Assembly Language (Intel)
- System Software (C-language)
- Operating Systems (UNIX, WINDOWS)
- Applied Software
- Computer Graphics

Beginning with the third year foreign students are trained according to one of the following programmes:

### 1. Applied Mathematics

#### Specialisations

- Mathematical Physics
- Mathematical Modelling
- Computational Diagnostics
- Numerical Methods
- General Topology and Geometry
- Computational Mathematics
- Optimal Control
- Mathematical Statistics

#### Courses on Specialisation

- Mathematical Physics
- Numerical Methods
- Functional Analysis
- Methods of Optimisations
- Games Theory and Operations Research
- Physics of Wave Processes
- Quantum Mechanics
- Partial Differential Equations
- Inverse Problems
- Data Bases
- Parallel Data Processing
- Method of Finite Elements
- Probability Methods
- Stochastic Processes
- Mathematical Bases of Probability Theory
- Calculus of Variations
- Numerical Methods of Optimal Control
- Convex Analysis
- Modern Problems of Programming
- Differential Games
- Discrete Optimisation
- Elements of Ergodic Theory
- Methods of Experimental Results Processing

### 2. Computer Science

#### Specialisations

- System Programming
- Mathematical Cybernetics
- Systems and Networks
- Algorithmic Languages
- Data Bases

#### Courses on Specialisation

- Computer Structure
- Principles of Cybernetics
- Programming Technology
- Programming Languages
- Mathematical Logic
- Construction of Compilers
- Computing Systems
- Artificial Intelligence
- Network Technologies
- Applied Packages
- Discrete Mathematics
- Applied Problems of Cybernetics
- Algorithms Complexity
- Probability Methods
- Optimisation Methods
- Games Theory and Operations Research
- Parallel Data Processing
- Computer Practicum
- Distributed Systems and Nets
- Computer Systems Architecture

### 3. Informatics

#### Specialisations

- Financial Mathematics
- Business Informatics
- Information Systems
- Artificial Intelligence
- Operations Research
- Systems Analysis

#### Courses on Specialisation

- Dynamic Systems
- Multivalent Analysis
- Methods of Identifications
- Functional Analysis
- Dynamic Programming and Control Processing
- Applications of System Analysis
- Economics
- Models of Environment
- Computer Systems of Decision Making Support
- Financial Mathematics
- Stochastic Analysis and Modelling
- Computer Graphics and Geometry
- Dynamics of Controlled Processes
- Actuarial Sciences
- Numerical Methods in Actuarial Mathematics
- Mathematics of Compound Interest
- Games Theory and Operations Research
- Probability Models
- Stochastic Process
- Information Systems
- Artificial Intelligence
- Information Security

#### Master Degree

2 years full time

**Direction:** Applied Mathematics and Informatics

The period of study is devoted to deepening students’ knowledge and practical skills in the chosen program. You will join a special seminar guided by a scientific advisor, take part in a research project and present a Master’s thesis.

### Programmes

- Mathematical Physics
- Mathematical Modelling
- Computational Diagnostics
- Numerical Methods
- Theory of Probabilities and Mathematical Statistics
- Operations Research and Systems Analysis
- Optimisation and Optimal Control
- Mathematical Cybernetics
- Networks Software
- System Programming
- Software for Computers and Computer Systems
- Mathematical and Informational Support of Economical and Financial Activities

### PhD Degree

3 years full time

### Specialities

- Mathematical Physics
- Computational Mathematics
- Mathematical Cybernetics
- Mathematical Statistics
- Differential Equations
- Mathematical Modelling
- Scientific Computation
- Computers Application
- Numerical Methods and Applied Software
- Networks and Distributed Systems
- Database Development
- Operations Research and Systems Analysis