THE TEACHING OF THE DISCIPLINE "MATHEMATICAL MODELING OF NATURAL PROCESSES"
The article presents examples considered in lectures and workshops with undergraduates studying in the direction 20.04.02 “environmental engineering and water use” in the study of the discipline “Mathematical modeling in the components of nature.” The use of mathematical modeling makes it possible to study natural processes with the help of models, to consider decision-making problems in conditions of uncertainty, to assess the consequences of decisions. In the first example we consider the popular statistical criterion of student. In the second example for the characteristic of temperature regime of the territory the rule of calculation of the basic statistical characteristics of series of meteoparameters is stated. Spatial and temporal variability are invited to explore using the apparatus of the decomposition of fields by natural orthogonal components. Assessment of the significance of the revealed differences is carried out using student's criterion. In the third example the characteristics of dependence of random variables from each other, conditional mathematical expectations (conditional averages) are considered. Regression curves show true dependence, “purified” from all random factors. The considered examples help to solve the problem of motivation in-depth study of mathematics and to form students ‘ systematic and strong knowledge.