APPLICATION OF MATHEMATICAL MODELING AND ALGORITHMIC APPROACHES IN INFORMATION TECHNOLOGIES
Keywords:
Mathematical modeling, algorithmic approach, information technologies, optimization, data analysis, digital transformation, computational methods, economic systems.Abstract
This article examines the practical significance of mathematical modeling and algorithmic approaches in the development, optimization, and management of information technologies. In the context of digital transformation, mathematics serves not only as a theoretical foundation but also as an applied instrument for solving complex computational, economic, analytical, and managerial problems. Mathematical models make it possible to represent real technological processes in a formal structure, predict system behavior, evaluate risks, and support decision-making under conditions of uncertainty. Algorithmic approaches, in turn, provide a logical sequence of operations for processing data, automating calculations, optimizing resources, and improving the efficiency of information systems. The article focuses on the role of modeling, optimization methods, graph theory, probability theory, statistics, numerical methods, and algorithm design in modern information technology practices. Special attention is given to the relevance of these approaches for economic universities, where mathematical and digital competencies are becoming essential for preparing specialists capable of working with data-driven systems, business analytics, financial technologies, and automated management platforms. The study emphasizes that the integration of mathematical thinking with information technologies contributes to the formation of analytical competence, technological literacy, and innovative problem-solving skills.
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