The article deals with the application of modern mathematical apparatus in information and cyber security namely fractal analysis. The choice of fractal modeling for the protection of information in the process of its digital processing is grounded. Based on scientific sources, the basic definitions of the research are analyzed: fractal, its dimension and basic properties used in the process of information protection. The basic types of fractals (geometric, algebraic, statistical) are presented and the most famous of them are described. The historical perspective of the development of fractal theory is conducted. Different approaches to the application of fractal theory in information and cyber security have been reviewed. Among them are: the use of fractal analysis in encryption algorithms; development of a method of protecting documents with latent elements based on fractals; modeling the security system of each automated workplace network using a set of properties that can be represented as fractals. The considered approaches to the application of fractal analysis in information and cyber security can be used in the preparation of specialists in the process of research work or diploma work.

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The article deals with the problem of training modern specialists of the specialty "125 - Cyber Security". Issues of providing students with specialized and professional knowledge and skills in cryptographic protection of the information are considered. The necessity of obtaining practical knowledge on information protection with a certain amount of theoretical knowledge for future cybersecurity specialists has been substantiated. Through the analysis of literature and the use of own experience, the essence and structure of the concept of "competence on cryptographic protection of the information" have been determined. Formation of these competencies have been carried out within the framework of interdisciplinary links of educational disciplines, namely: "Applied Cryptology", "Secure Programming". The list of requirements for professionally significant characteristics of a cybersecurity specialist in the field of cryptographic protection of information has been determined. An overview of cryptographic libraries has been conducted and the main criteria for selecting the cryptographic service and the programming environment have been determined. The article demonstrates the need to use modern cryptographic .Net Framework services and the Microsoft Visual Studio application development environment to provide students with the knowledge and practical skills of information protection. The model of formation and development of competences on cryptographic protection of the information for students of the specialty “125-Cyber Security” has been developed and the ways of its realization at Borys Grinchenko Kyiv University have been offered. In the course of the research it was determined that in the programming of cryptographic protection mechanisms, practical skills of using cryptographic algorithms in the processing and transmission of data have been effectively formed. It is proved that the definition of the volume of theoretical knowledge and practical skills, taking into account the interdisciplinary connections of educational disciplines, allows preparing specialists with practical skills in cryptographic protection of the information. Such specialists are necessary for IT companies in the labor market.