FORMATION OF COMPETENCIES IN A DIFFERENTIATED APPROACH IN PREPARATION FOR THE STUDY OF THE THEORY OF BOUNDARIES

Introduction. According to Ukrainian law the education system requires the introduction of a set of activities in higher education institutions. It provides adequate conditions for each student in development, in the formation full-fledged person and the acquisition of competencies necessary for acquiring the appropriate level of knowledge. Methods. Differentiated learning is a specially organized educational and cognitive activity that takes into account the age, individual peculiarities of subjects of study, social experience, aimed at optimal physical, spiritual and mental development of students and students, the acquisition of the necessary knowledge, practical actions under different curricula and programs. Purpose. Try to consider the theoretical and practical issues of a differentiated approach to the formation of preparatory material during the study of the theory of boundaries. Results. According to our research we have developed a system of exercises which can be useful in studying such notions as a module of a real number, a function, an okil point, «get into the area», the mapping of the plural. Originality. Development of the system of exercises, so that on their basis it was possible to construct an outline of the theoretical material of the content block «The boundary of the sequence», «The boundary of the function», etc. Conclusion. Thus, based on the analysis of theoretical sources, a system of exercises was developed to improve the material absorption by students of higher educational institutions with different levels of knowledge.