Innovative methods of teaching and quality control of knowledge of disciplines from the cycle of applied mathematics and computer science for master degree and postgraduates programs.

This article deals with the problem of the functioning of existing training programs for students mastering natural science programs for applied training areas, which take into account the dominant part of the load on the problem-experimental essence of the knowledge acquisition process. It consists in solving specific problems with a different nature of phenomena, which are easier to consider in the context of simulation tools in a virtual environment. The nature of cognition is determined, affecting both the form of imparting properties to the studied phenomenon or process, and the specific characteristics of the assimilation of knowledge, mediated with work in special-purpose software environments. The authors also indicate the aspectology of the process of cognitive activity in a virtual environment exclusively - they emphasize the role of learning to work with a specific type of software, which often have a complicated and single-tasking graphical interface. The result of software development is demonstrated. It provides an adaptive design of teaching in accordance with the type of problem to be solved on the part of the student, the optimization role of the complex of topics under consideration is indicated. [ABSTRACT FROM AUTHOR]