Abstract. This paper presents a mathematical modeling module for ODE courses. The module uses light-weight systems engineering approach to promote the competency of undergraduates to overcome the complexity in applied mathematics problems. The mathematics training of undergraduates in most colleges is limited to solving applications with a couple of variables in few steps of computations. Once faced with problems beyond that level of complexity, they are not only challenged to plan a scheme for finding solutions, but also to provide justification for their answers. This module combines an iterative modeling process with the compartmental analysis methodology to leverage these challenges. Verification and validation techniques are introduced for assuring the soundness of answers. The query-based process forces the students to trace critical mathematics equations to the corresponding phenomena of the problem under consideration. Examples within the module are arranged with incremental complexity. Stella is used as a modeling and simulation tool
ERAU), where she has been teaching since 2005. She obtained her bachelor's in aeronautics and space from EPF, Ecole d'Ingénieur (France), and her M.S. in aerospace engineering from ERAU. She currently teaches Introduction to Programming for Engineers. She is involved in developing and maintaining the hybrid version of that class, and researching improvements methods to teach programming to incoming freshmen using new technologies.
In this paper, the authors discuss the development of a framework for creating computational mathematics modules for engineering students. The purpose of the modules is to introduce mathematical concepts through modeling real-world applications and is intended to develop the students' ability to generalize a concept and to work with models of varying abstraction. The authors represent an interdisciplinary team contributing expertise from the fields of mathematics, computational science, and teacher education.
The goal of this research was to apply the economic concept titled Input-Output Analysis to an aviation safety concept titled Safety Management Systems (SMS). Input-Output (IO) is based upon the interrelationships of various components of an economic system and what happens to the system when one or more of those components changes. Since SMS is, by definition, a system with definable components, the research sought to determine if the interrelationships between those components could be determined and quantified. The term ''marbles'' was used to describe the
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