The paper examines the organisational and methodological aspects of individualization behind professional higher education through the implementation of an individual learning trajectory of higher education candidates, taking into account the forced activation of distance learning. It analyses a survey of students on the individual learning trajectory as well as the organisational and methodological approaches to its implementation in one of the typical higher educational institutions of Ukraine. The authors discuss ways of using elements of different types of training in the process of realisation of the student's individual learning trajectory. The conducted analysis allowed them to pinpoint the main organisational and methodological directions of updating the individual educational trajectory. The theoretical basis of the study became the main principles and regulations of higher education organisation. The study used historical-logical and systemic approaches, general scientific and special methods, in particular: statistical (when analysing and interpreting data from higher education students on the individual trajectory of education); monographic and abstract-logical methods (when analysing the influence of individualisation of students' set of competences on the format of higher education); methods of observation and generalization (when discussing the use of elements of various forms of education in the implementation of the students' individual learning trajectory); methods of systemic analysis and synthesis. As a result, the directions for the development of the means of implementing the individual learning trajectory of higher education students in specialty 073 "Management" were formed.

The article examines the peculiarities of digitalization of the educational process of higher education institutions of Ukraine and reveals the impact of the COVID-19 pandemic. It was found that modern world challenges have become a turning point for rapid innovations in the field of education. In particular, the COVID-19 pandemic created a unique opportunity for the unprepared introduction of digital technologies into the educational process, and with the beginning of the war in Ukraine, the digital format of education became almost the only opportunity to obtain higher education. It is noted that in the conditions of digitization of the educational process, distance education has become more and more widespread, the specialty of which is the provision of educational services through the use of modern information and communication technologies in education. The authors emphasize the advantages of distance learning in higher education institutions of Ukraine, the main ones being: temporal, geographical, psychological, ergonomic ones and others. It is highlighted that the problematic aspects in the process of organizing distance learning are related to: the need for high internal motivation of the student; the problem of quality control of education and academic dishonesty; technical flaws; the problem of student identification; lack of live dialogue with the teacher; lack of digital competences, etc. Based on the analysis of secondary data, the dynamics of processes related to the use of digital distance learning technologies in the conditions of nationwide quarantine are outlined; also analysed are the factors that negatively affect the quality of implementation of digital learning technologies in higher education institutions. It was emphasized that owing to digitalization, the educational process becomes more personalized, mobile, accessible and flexible.

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This paper outlines theoretical and methodological foundations of teaching mathematics to extramural students, formulates and argues requirements for the organisation of teaching mathematics to extramural students of technical universities, clarifies the concept of distance learning, develops methodology of teaching mathematics to extramural students of technical universities via program-methodological complex and it proves that it effectively improves teaching mathematics to extramural students of higher technical institutions, providing additional opportunities for individualisation of students' learning due to the use of interactive and educational programs, which help to control acquired knowledge, skills and competences acquired in mathematics.

The paper discusses programme competences of students majoring in the specialty 073 -Management in conditions of distance learning caused by the pandemic COVID-19. It analyses the influence of distance learning methods and techniques on the programme competences of managers. The paper studies the curriculum design of the first (bachelor's) degree course 073 -Management within the field of knowledge "Management and Administration" (07) at one of the typical higher education institutions in Ukraine in conditions of distance learning. The authors consider relevant components of the curriculum design. The analysis allowed the authors to identify which of the programme competences in the course design were made easier for the students to acquire due to pandemic-induced distance learning mode. The authors suggest a way to improve the curriculum design for the next year of study.