The Application of Mathematics in the Engineering Disciplines

David Reeping and Kenneth J. Reid

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This text serves as the companion text to Introductory Engineering Mathematics, which introduces common mathematical concepts we see in engineering, including trigonometry, calculus, and functions. This text assumes a level of mathematics of a high school senior, plus some elements from the introductory text. Additional concepts we see in engineering are also introduced: specifically, matrices, differential equations, and some introduction to series. After, the basics of system analysis, including stability, are explored.

The concepts are presented using examples rather than strict mathematical derivation. As a result, this text likely will not be an effective substitute for a differential equations course, but by illustrating the implementation of differential equations, it can be a companion to such a course. We primarily use historical events as examples (including failures) to illustrate the use of mathematics in engineering and the intersections of the disciplines. We hope you develop an appreciation for how to apply these concepts, and  nd a new lens through which to view engineering successes (and failures).

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David Reeping

David Reeping is a PhD candidate in engineering education at Virginia Tech and a National Science Foundation graduate research fellow. David was the recipient of the Remsburg Creativity Award for 2013 and the DeBow Freed Award for outstanding leadership as an undergraduate student (sophomore) in 2014. He has extensive experience in curriculum development in K-12 and creates material for the Technology Student Association’s annual TEAMS competition.

Kenneth J. Reid

Kenneth J. Reid is an associate professor in engineering education at Virginia Tech. He earned his PhD in engineering education in 2009. Among other awards, he and his coauthors received the Wickenden award (2014), best paper award for the Educational Research and Methods Division of ASEE (2014) and IEEE-USA Professional Achievement Award (2013) for developing the nation’s  rst BS degree in engineering education. He is active in engineering within K-12, including the Technology Student Association (TSA) board of directors.