Programs
Mathematical and computer modeling 6B06103
The duration of training in the specialty is 4 years
The language of instruction is English
Goals, objectives:
Training of highly qualified specialists in the field of mathematical and computer modeling. In this direction, the faculty strives to improve the quality of the educational process by introducing modern teaching methods and techniques, updating and creating new mathematical courses that take into account the needs of the growing economy of the Republic of Kazakhstan.
The content of the educational program:
- Calculus I is the concept of a numerical function. Elementary functions and their graphs. Basic properties. Limit and continuity of the function. Derivative and its applications
- Calculus II - Primitive. A definite integral. Applications of certain integrals. The simplest differential equations of the first order
- Linear algebra - Methods for solving a system of linear algebraic equations. Matrices and actions on them. Determinants. Elements of vector algebra. Linear geometric objects (a straight line on a plane and in space, a plane). Curves and surfaces of the second order. Linear operators. Eigenvalues and eigenvectors of a linear operator. Quadratic forms and reduction of quadratic forms to canonical form
- Probability theory and Mathematical statistics, Mathematics IV - Random events and operations on them. Classical and geometric definition of probability. Basic formulas for calculating probability. Bernoulli's scheme. Discrete random variables. Continuous random variables. Elements of mathematical statistics.
- Numerical Methods, Mathematics III - This course studies the basics of working with MATLAB analytical and numerical computing systems. Fundamentals of the theory of errors. Numerical solution of nonlinear equations. Numerical solution of systems of linear equations. Interpolation. Numerical differentiation. Numerical integration. Numerical solution of differential equations
- Mathematics I - Elements of linear Algebra. Elements of analytical geometry. Introduction to analysis. Differential calculus of a function of one variable. Functions of multiple variables
- Mathematics II - Integral Calculus. Complex numbers. Differential equations. Multiple integrals. Rows. Elements of field theory
- Ordinary differential equations are differential equations of the first order. Linear differential equations with constant coefficients. Systems of differential equations. The simplest boundary value problems (heat equation, wave equation, Laplace equation)
- Optimization and management - Linear programming. Network planning. Dynamic programming. Integer programming. Nonlinear programming. Game theory.
Academic mobility to foreign universities is provided for the students of the School of Applied Mathematics:
- Budapest University of Technology and Economics (Hangary)
- Kozminski University (Warsaw, Poland)
- University of Washington (Seattle, USA)
- Babes-Boiai University (Cluj-Napoca, Romania)
- Krakow Technical University (Krakow, Poland)
- Loughborough University (London, UK)
- Furtwangen University (Black Forest, Germany)
- S.L. Sobolev Institute of Mathematics (Novosibirsk, Russia)
- Novosibirsk State University (Novosibirsk, Russia)
Practice
ǿý of the School of Applied Mathematics have the opportunity to undergo practical training:
- Institute of mathematics and mathematical modelling
- University of Washington (Seattle)
- Institute of Computational Mathematics and Mathematical Geophysics (SB RAS)
- Novosibirsk State University
- MIT - Massachusetts Institute of Technology
Graduates of School of Applied Mathematics
Graduates of the School of Applied Mathematics work in the field of:
- Higher education institutions and research centers
- IT companies
- Financial firms
- Commercial banks
- Logistics companies
- Big4 accounting firms and others