INTEGRATION OF FUNDAMENTAL MATHEMATICAL DISCIPLINES INTO THE PRACTICAL TRAINING OF COMPUTER SCIENCE SPE CIALISTS: METHODOLOGICAL ASPECT

Abstract

In the context of the development of AI, GameDev and cybersecurity, there is a need to understand the mathematical apparatus hidden behind the program code. The research is aimed at bridging the gap between academic teaching of mathematics and the applied requirements of the IT industry. The work is devoted to the analysis of interdisciplinary connections between sections and topics of fundamental mathematical disciplines and structural elements of professional disciplines in the training of bachelors of computer science. The practical implementation of mathematical tools in such areas as Data Science, computer graphics, cybersecurity, and the development of gaming artificial intelligence is considered. Special attention is paid to the implementation of solving real engineering cases in the educational process. The aim of the work is to demonstrate and analyze the projection onto current IT technologies and into specific engineering skills of classical mathematical theories and key sections of mathematical disciplines: elementary mathematics and trigonometry, higher mathematics (linear algebra and mathematical analysis), probability theory, probabilistic processes and mathematical statistics (special attention is paid to the use of distribution laws: normal distribution, Poisson distribution), information theory, discrete mathematics (in particular, graph theory), number theory and cryptography and numerical methods. The result of the research was the development of a matrix of practical engineering keys, which establishes a direct correspondence between a mathematical concept and IT technology. The proposed approach allows students to form a holistic engineering worldview, increase motivation to study fundamental disciplines and ensure the training of competitive specialists who are able to create and consciously use optimized and reliable software products.