Methodological aspects of teaching the stochastic component of a course in mathematics for bachelor degree students (based on bachelor degree curriculum in “Ecology and natural resources management”)

The paper presents some methodological guidelines that can be used by instructors when teaching the sec-tion of probability theory and mathematical statistics to bachelor degree students at the course on mathemat-ics in “Ecology and Natural resource management”. Quantitative methods in ecology attract global attention. Therefore, in mathematical education of an ecologist probabilistic and statistical training should be in-depth and at the same time specialised, taking into account the needs of the most probable applications. Properly chosen methodology promotes the development of scientific concepts among students, the study reveals the specifics of the subject, helps to find the most productive ways to solve practical problems.The paper identifies the main purpose of teaching section of probability theory and mathematical sta-tistics course in mathematics. It is emphasized that the material of the discipline should match the current level of science and be taught in a certain didactic system, reflecting this science and its laws. It is shown that the presentation of theory of probability in classical language is currently not possible. The question naturally arises: what alternatives are available? The first alternative - the language of set theory and measure theory in the form given to it by Kolmogorov in the famous “Kolmogorov axioms”. The second alternative to the classic language of probability theory - language of “theory groups” by R. Mises. This language is less common than the language of the Kolmogorov axioms, as it has been partly superseded by the latter. As a result of studying the discipline, students should have a clear understanding of the interaction of these languages, as the specific content and practical application of probability theory according to R. Mises and A. N. Kolmogorov coincide.