Application of the MatLab Opportunities During the Study of the Fourier Series by Future Border Guard Officers

The article is devoted to the analysis of the possibilities of using modern applications in the teaching of higher mathematics for future border guard officers of the State Border Guard Service of Ukraine. The article describes the possibilities of the software stand developed on the basis of the mathematical package of the MatLab system, which allows cadets to perform spectral analysis of signals, which is important for solving professional problems of future professional activity. In addition, the article describes the process of the stand and presents its program code. The interface of the developed software stand allows to choose a window for the analysis of a kind of pulses, to receive their images, corresponding radio pulses, and also their spectra. The obtained amplitude spectra allows to compare and state the similarities and differences in the radio signal and signal spectra. In addition, if it is necessary to demonstrate the form of an arbitrary (periodic or non-periodic) signal or a signal with noise, the presented software product allows the cadet to generate a signal depending on its characteristics. The article notes that conducting classes using this software product develops the motivation of cadets to study fundamental disciplines, promotes interest and increases their knowledge and skills in higher mathematics and related disciplines, as the classes have a purposeful informational and emotional impact on future officers, their analytical-synthetic skills and critical thinking develop. In addition, the article considers the features of experimental verification of the classes effectiveness using a program stand to improve the knowledge and skills of cadets in professionally-oriented disciplines, as well as the reliability of the results using mathematical statistics.