Not only can students and researchers working through mathematical models more efficiently and with less errors than with pencil and paper, they also can easily find, both analytically and numerically, more complex and computationally intensive models. Intended for undergraduate science and engineering at the sophomore / junior high level, this guide is an introduction to the mathematical model of science is full of examples from various disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. Topics are organized into appetizers dealing with aspects of graphics, fried to concentrate on symbolic computation, and numerical simulations illustrate Desserts. The core of the text is a large number of recipes based on computer algebra systems Maple 10 software. Every part of the recipe followed by a series of problems that readers can use to check their understanding or to develop this topic further. This text is the first of two volumes, the book continued, aimed at junior / senior / graduate level students, dealing with more advanced models of differential equations.