Abstract:

In this article the authors present the development of Mathematical concepts in Mechanical Engineering, where a new methodology for computational oriented mathematics education is performed. Finding new opportunities of applying new technologies in teaching and learning mathematics in the engineering community are increasing. Computational oriented mathematics education in virtual learning environments has led to new possibilities for engineering work in which complex mathematical problem solving with computer visualization and simulation, plays a central role and its developments incorporate numerical analysis and simulations. The study of dynamical system stability is presented in a systemic way by using simple and compacted techniques, showing the connection among different solving methods.
Linear time invariant dynamical systems are gradually developed to study the model that represents the early feedback stage in simple description of physical phenomena. This approach facilitates software engineering professionals when designing systems with controllers, where the feedback is considered a main feature.
Our goal in this study of dynamical systems will be accomplished by using the linearity property transfer function and feedback mechanisms as basement of their analysis and synthesis.
The integration of computer-oriented mathematics is very important for the educational process in engineering as well as for improving their qualifications, in the sense that are considered real systems and structures which solve real problems.

Keywords:

Feedback, modeling, transfer function, dynamical systems.