Methodical approaches for qualitative analysis of dynamical systems in interactive learning of applied mathematics

Abstract

The paper has devoted to the much more important field of modern applied mathematics education: using interactivity of computer mathematics for qualitative analysis of dynamical systems. Author has developed universal methodical approaches: using a hybrid technique - both symbolic and numerical computations. In the paper it has been showed number of examples with original program cods and relevant computer mathematics visualization of symbolically computed functions, which are presented in 2D and 3D graphs to perform of more convenient qualitative analysis.