The foundation of engineering at any level can be described in terms of mathematics. In most instances, students take a standard calculus series and a foundational course in differential equations as their initial course work. Progression into more advanced courses heavily relies on the students ability to apply the theory from their mathematics courses to engineering problems (e.g. Signals and Systems, Dynamic Systems). In light of this constant challenge in engineering education, this two-volume work on mathematics used for engineering will introduce mathematics as the language of engineering, the framework in which engineering problems are understood and solved. The first volume, entitled Introductory Mathematical Concepts, covers mathematical concepts typical of an engineering students first and second year. A short chapter describing the core of engineering--the analysis and design of systems--sets the stage for the focus of the text: solving problems, inputs and outputs, and engineering systems. Calculus is introduced without delving too deeply into the theory, with only significant results necessary to solve engineering problems. The inputs and outputs section expands on the idea of functions presented earlier in the book.
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Ohio Northern University
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