The problem of increasing the activity of learning in constructing the course of lectures "The computer mathematics - applied aspects" in SMTU
The problems reviewed, are on increasing the activity of learning in the development of a new course of lectures "Computer Mathematics", which has not been delivered in Russian universities. The course reflects the main trends in the development of conceptual solutions based on a creative approach to the integration of intelligent technologies and high performance computing. Features of the course are associated with the development of new approaches to simulation the dynamics of complex systems in an evolving environment. This opens up prospects for creating integration theories and conceptual solutions when interpreting dynamic situations in the mode of emergency calculations. Such integration is carried out within the framework of models of the dynamic theory of catastrophes, focused on the transformation of information in the form of a chain “modeling - forecasting - decision making”. Environment of computer mathematics is presented as an active learning system based on a set of interacting learning objects that provide information and control interaction communication in the process of acquiring and assimilating knowledge. An approach based on the cognitive paradigm, Delphi and “Brainstorming” methods are considered as methods for increasing learning activity. Examples of implementation of these technologies in the process of developing technical solutions in the field of creating new equipment and technologies are given.