Abstract: The rapid development of the latest information and computer technologies, which affect absolutely all spheres of human activity. Their application affects the country’s economy, politics, education, culture, affects areas of professional activity, radically changes our everyday life, etc. The development of these technologies concerns different segments of the population and all age categories. The field of education, which, firstly, is connected with the young generation, which gladly reaches for everything new; secondly, it is closely related to the development of science and scientific research, responds to the challenges created by the development of the latest technologies and, accordingly, changes. The global pandemic of COVID­19 and the Russian­Ukrainian war of 2022 accelerated the processes of introducing innovative computer technologies into the educational process in the form of distance learning. The purpose of the article is to study the peculiarities of the educational process in the extreme conditions of quarantine and war, to analyze the various forms of education that were proposed and implemented, to summarize the practical experience of teaching mathematical disciplines in technical and economic universities, which was acquired during this unique period. The paper analyzes the state of the educational process and the dynamics of its changes in the legislative sphere. There is a well­founded need to develop a distance form of education in the educational process. Peculiarities of conducting lectures, practical and seminar classes and controlling the level of students` knowledge in the distance form of education are considered. The peculiarities of conducting classes in asynchronous mode are determined. The article has a scientific and methodological character.