# Mathematics and Artificial Intelligence

02.03.01*In english*

Level of education Bachelor

Type of instruction Full-time

Duration 4 years

- Mathematical Analysis
- Functional Analysis
- Algebra and Number Theory
- Geometry and Topology
- Differential Equations
- Probability Theory
- Mathematical Statistics
- Calculus of Variations
- Mathematical Physics Equations
- Graph Theory
- Combinatorics
- Extremal Problems
- Theoretical Cybernetics
- Art of Mathematical Proof and Mathematical Logic
- Artificial Intelligence
- Algorithms and Data Structures
- Machine Learning
- Database Theory
- Programming C
- Programming C++
- Programming in Unix Environment
- Computational Complexity Theory
- Software Developing Technologies
- Statistical Data Analysis
- Dynamical Systems and Simulation
- Computational Mathematics
- Modern Robotics
- Parallel and Distributed Computing
- Highload and Parallel Calculations
- Computer methods of convex programming
- Introduction to Theory of Dynamical Systems
- Stability of Dynamical Systems
- Additional Topics in Differential Equations
- Differential Equations: Special Functions
- Lyapunov Exponent Theory
- Additional Chapters of Variation Calculus
- Advanced Algebra and Number Theory
- Mathematical Logic
- Galois Theory
- Algebraic Topics of Combinatorics
- Linear Groups
- Algebraic Geometry
- Category Theory
- Rings and Modules
- Homological Algebra
- Representation Theory
- Group Schemes and Formal Groups
- Elliptic Curves and Abelian Varieties
- Algebraic Number Theory and Elements of Cryptography
- Applications of Mathematical Cybernetics and Artificial Intelligence to Internet
- Computational Statistics and Statistical Methods for Machine Learning
- Regression Analysis
- Additional Chapters of Statistics
- Stochastic Analysis
- Stochastic Processes
- Additional Chapters of Probability Theory
- Limit Theorems in Probability Theory and Statistics
- Probability Theory: Combinatorial Problems of Probability
- Probability Distributions and Their Properties
- Queueing Theory: Simulation
- Algorithms of Integral Transform Inversions and Mathematical Software
- Regularization Methods for Not Well-Posed Problems and Numerical Calculations
- Eigenvalues Algebraic Problem and Numerical Algorithms for its Solving on PC

Educational mission:

- to train highly qualified specialists able to solve problems in mathematics, computer science and related areas, perceive ideas in different areas of mathematics and apply them in computer sciences, and use computer science achievements in scientific research in theoretical and applied mathematics
- to give professional skills in scientific research, implementation of theoretical results, innovative use of current science achievements, artificial intelligence technologies
- to teach students to use the most effective and advanced machine learning and artificial intelligence technologies

The programme meets to address the interests of those students who want to combine their basic studies in Mathematics with considerable involvement in Computer Science and Artificial Intelligence

Students will get:

- the core of mathematics basics in algebra, mathematical analysis, probability, analytical geometry, calculus, topology and differential equations
- knowledge of mathematical models of a broad variety of natural and engineered systems
- understanding information and computation as essential components of those systems
- experience in treating fundamental problems with the potential for long-term and real-world impact experience in research with synergy effects between traditionally separated disciplines

Future careers of our students may be associated with research or teaching in the areas of pure and applied mathematics, and with advanced algorithms and software development in academia and industry.

#### Organisations where our graduates work

- In Russia:

Intel, Oracle, Huawei, Yandex, Jet Brains, Lanit-Tercom, Transas, EMC, Digital Design, Cybertex, Assaia, DIGDES, FIRSTLINE, StarLine, Russian State Scientific Center for Robotics and Technical Cybernetics, Russian Universities, Russian Academy of Sciences.

- International:

MIT (USA), SUPELEC (France), UNSW (Australia), University of Sheffield (UK), NTNU (Norway), Lund University (Sweden), TU/e (Netherlands), and a lot of others