Bachelor
2021/2022
Systems Analysis
Type:
Elective course (Applied Mathematics and Information Science)
Area of studies:
Applied Mathematics and Information Science
Delivered by:
Department of Mathematics
Where:
Faculty of Computer Science
When:
4 year, 2, 3 module
Mode of studies:
offline
Open to:
students of one campus
Language:
English
ECTS credits:
5
Contact hours:
60
Course Syllabus
Abstract
The course is an introduction to the tools and techniques of analyzing mathematical and applied systems, which are studied using the examples of the systems having linear or convex structures. It includes the studying of both how to develop and analyze mathematical models of applied systems in economics, sociology, and engineering, and how to analyze mathematical features of these systems. The main focus of the course is on systems with nonlinear objective functions, including the maximum functions of a finite number of convex and quasiconvexquasiconcave (monotone) functions in finite-dimensional Euclidean spaces, and linear constraints. The course consists of two interrelated parts—theoretical and applied ones—studied in parallel. In the theoretical part, the students study approaches to formulating hypotheses about the properties of applied systems and methodologies of analyzing these properties. In the applied part of the course, the approaches and the methodologies studied in its theoretical part are used to analyze practical problems in management systems in economics, in industry, in transport, in trade, in agriculture, in advertising, in electoral systems, in personnel deployment, and in banking.