Course description

In the market economy, the functioning of various socio-economic systems is carried out under the influence of a large number of actions of the external environment, which cause arrhythmia in the movement of flow processes, which leads to large losses in the activity of the systems.

The evolution and non-stationarity of economic objects lead to the need for the widespread use of complex mathematical methods and models of methods that make it possible to take into account the peculiarities of market conditions, enriched with the possibilities of accounting for the evolution of data about the object, changes in planning models, loss assessment and analysis of the implementation of the plan based on simulation and forecasting the impact of various actions.

Mathematical methods and models for research and management of the market economy allow studying economic phenomena and processes and improving the justification and making of management decisions.

The subject of the academic discipline

The subject of the educational discipline is the methodological provisions and tools of mathematical modeling of the processes of analysis and management of economic objects and processes at the macro , meso , and microeconomic levels.

The purpose and tasks of the educational discipline

The purpose of the educational discipline is to form students’ knowledge of the methodology and tools for modeling economic systems, the formation of practical skills in the construction and application of mathematical methods and models of the functioning of objects and processes of the market economy.

Main tasks : study of methodological approaches to the construction and application of economic-mathematical models and methods of analysis of real economic processes and management of economic objects at the macro- , meso- and microeconomic levels in the conditions of a market economy.

The place of the educational discipline in the structural and logical scheme

The discipline “Mathematical methods and models of the market economy” is interconnected with such disciplines as “Technologies of anti-crisis and intelligent business management”, “Course work”, “Production practice”.

Requirements for knowledge and skills

When studying the discipline “Mathematical methods and models of the market economy”, students of higher education acquire the following competences (ability) :

ZK8 – Ability to conduct research at an appropriate level.

SK1 − Ability to apply scientific, analytical, methodical tools to substantiate the strategy of development of economic subjects and related management decisions.

SK12 – Ability to develop economic and mathematical models, model the behavior and development of socio-economic and financial-economic systems, objects of the market economy and business processes, conduct their analysis, evaluation, forecasting, planning and improvement of their management systems .

Program learning outcomes:

PR01 – Formulate, analyze and synthesize solutions to scientific and practical problems.

PR07 – Choose effective methods of managing economic activity, justify the proposed solutions on the basis of relevant data and scientific and applied research.

PR08 – Collect, process and analyze statistical data, scientific and analytical materials necessary for solving complex economic tasks.

PR09 – Make effective decisions under uncertain conditions and requirements that require the use of new approaches, methods and tools of socio-economic research .

PR16 – Demonstrate skills in using Business technologies Intelligence and Data Science for conducting business analysis, identifying regularities, assessing the state and development trends of economic phenomena and processes .

The study of an academic discipline involves the achievement of such a ­qualification level of student training, for which he must:

a) know :

• methodological principles of quantitative analysis and mathematical modeling of objects, systems and processes of the market economy;
• classes of mathematical methods and models of management of the object ­and processes of the market economy;
• principles and methodological approaches to the construction of economic and mathematical models;
• conceptual provisions and tools for the analysis of mathematical models and methods and their application in the management of economic processes.

b) be able to :

• analyze and improve management systems;
• forecast the development of economic systems and processes, monitor and control the development of economic systems;
• provide information and analytical support for management decisions and further development of the company’s strategy;
• apply the anti-crisis management tool of the enterprise; support of cash flow management processes, enterprise finances, operational and investment activities;
• set tasks of quantitative analysis and mathematical modeling of market economy processes;
• develop and research analytical and computer economic-mathematical models for their application in the processes of analysis, evaluation, forecasting, planning, decision-making at enterprises;
• develop and apply dynamic mathematical models and methods of analysis and forecasting of processes and phenomena;
• develop and apply mathematical models for evaluating the innovative capacity of the enterprise and analyzing its dysfunctions related to tax evasion and deterioration of product quality.