The main features of the lecture stochastics course for the students of economics universities are described. The ways of realization of two categories of theoretical material: the basic theoretical and practical are outlined and analyzed. The key learning objectives of each unit are identified. The details of implementation of new applied units in a lecture course are proposed, the example of risk assessment of business is given. These differences in the content of the lecture material of stochastics for the students of economic specialties from traditional universities are shown. The main task of the teacher in the development of teaching methods in stochastic economic institution is formulated. It is revealed in the organization of the education system, aimed at the practical application of theoretical concepts, theorems and methods of probability theory in the professional activity of students, the use of modern information technologies for solving socio-economic problems, providing training of qualified specialists who are able to make informed choices in conditions of uncertainty and risk, prediction of the further development of the phenomenon, reducing the risk of adverse effects, thereby increasing the efficiency of economic and entrepreneurial activity. The main purpose of learning the basic theoretical sections is the formation of new probability and statistical concepts, defining their properties and revealing the potential of their use in various branches of modern science, i.e. creating a foundation for further study of the applied units of stochastics. Economic concepts and processes used in the lectures, for example, demand, supply, insurance, lending, etc. must be known to the students from the life experience or studied in the course of general economic disciplines and have an illustrative character. Teaching basic lecture material is the traditional way of forming concepts from the concrete to the abstract. The main purpose of teaching applied units is the study of methods of mathematical modeling for the study of economic processes with probabilistic character. The core of the lecture constitutes the economic problem, which presupposes the use of previously studied stochastic concepts and their properties, as well as the general scheme for the construction of economic-mathematical models.
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