TEACHING HIGHER MATHEMATICS IN INITIAL COURSES AT UNIVERSITY, TAKEN INTO ACCOUNT OF SCHOOL KNOWLEDGE (ELEMENTS OF MATHEMATICS AND THE BEGINNING OF ANALYSIS

Mathematics, school education, algebra, analysis, differential equation, field theory, operational calculus, probability theory, mathematical statistics, methods of teaching mathematics at universities

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The article discusses the problems of teaching mathematics for non-mathematical areas in the context of new educational standards developed for bachelor's, master's and doctoral studies. In addition, this paper analyzes the gap between the knowledge of the school mathematics course and first-year students who entered the university and the materials on higher mathematics taught in the initial semesters. Based on the analysis performed and many years of observations and experience in teaching higher mathematics in technical and economic areas, the need to conduct tests to determine weak points in the knowledge of first-year students at the beginning of the academic year is proposed.