Title :
Methodical approaches for qualitative analysis of dynamical systems in interactive learning of applied mathematics
Author_Institution :
Dept. of Inf., Ganja State Univ. (GSU), Ganja, Azerbaijan
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.
Keywords :
computer aided instruction; data visualisation; graph theory; mathematics computing; symbol manipulation; 2D graph; 3D graph; applied mathematics education; computer mathematics visualization; dynamical systems; hybrid technique; interactive learning; numerical computation; qualitative analysis; symbolic computation; symbolically computed functions; Computational modeling; Computers; Equations; Jacobian matrices; Mathematical model; Three-dimensional displays; applied mathematics education; computer mathematics; computer visualization; nonlinear dynamical systems;
Conference_Titel :
Application of Information and Communication Technologies (AICT), 2014 IEEE 8th International Conference on
Conference_Location :
Astana
Print_ISBN :
978-1-4799-4120-9
DOI :
10.1109/ICAICT.2014.7035921
