Minimization of functions. Numerical integration. Solution of systems of ordinary differential
equations. Working with polynomials.
Expected results: In the process of studying the discipline, students should know the basics of the
implementation of numerical methods of algebra and analysis, application of methods and bases
when dealing with integrated packages of mathematical calculations, the feasibility of statistical
processing
and
the
use
of
numerical
methods.
As a result of studying the discipline, students should be able to handle a variety of calculations for
the
scientific
and
engineering
problems,
develop
new
calculation
packages.
Post requisites: "Design of Information Systems", "Fundamentals of computer simulation"
OIO2303 Fundamentals of operations research, 3 credits
Prerequisites: Algebra and geometry, mathematical analysis, mathematical foundations of
computer
science.
The purpose of the study: the study of the foundations of the system analysis, operations research.
Summary: The main tools of operations research. Staging and classification of mathematical
programming problems. Linear programming and its features. Models operations, leading to
problems of linear programming. Methods for solving linear problems. Integer variable as a specific
requirement related to the distribution of an indivisible resource. Methods for solving integer
problems. Practically important problems of nonlinear programming. Network planning multi-step
operations. Quantitative indicators and networking methods of calculation. Critical Path. The game
as a mathematical model of conflict. The concept of optimality in game theory.
Expected outcomes: Students should be able to build a model of the system, set the task of
research, apply mathematical methods and computational tools to produce the desired results,
substantiate
optimal
solutions
operation
management
tasks.
Post requisites: Computer modeling, reliability of information systems, information systems.
TPR2303.1 Theory of making decision, 3 credits
Prerequisites: Algebra and geometry, mathematical analysis, mathematical foundations of
computer
science.
The purpose of the study: the study of the foundations of the system analysis, operations research.
Summary: The methodology of decision theory. Production of typical problems and their
mathematical models in general. The general scheme of optimization techniques. Linear
programming and its features. Models operations, leading to problems of linear programming.
Methods for solving linear problems. Duality in linear programming. Statement of the
transportation problem. A method for solving the transportation problem is closed. Integer variable
as a specific requirement related to the distribution of an indivisible resource. Methods for solving
integer problems. Practically important problems of nonlinear programming. Classification of
methods for solving linear programming problems. Network planning multi-step operations.
Quantitative indicators and networking methods of calculation. Critical Path. The game as a
mathematical model of conflict. The concept of optimality in game theory. Application of the
principles
of
game
theory
in
management.
Expected outcomes: Students should be able to build a model of the system, set the task of
research, apply mathematical methods and computational tools to produce the desired results,
substantiate
optimal
solutions
operation
management
tasks.
Post requisites: Computer modeling, reliability of information systems, information systems.