Compound Program Packages in Random Science Training and Technical Modeling

This paper presents a review of our applications of computer algebra systems (CAS) [10, 11, 40] to different problems: for analysis of random phenomena in nonlinear dynamical systems and primary education in this sphere; for finding of control functions; and for mathematical modeling of a mechanical object's movement. To archive final results for various tasks, it is required to process a large number of mathematical calculations. Moreover, the complexity of investigated objects requires automation of a procedure of model construction that results in the necessity of using CAS (together with numerical accounts) at all stages of scientific research.