This report is aimed at the engineering and/or scientific professional who wishes to learn about Fractional Calculus and its possible applications in his/her field(s) of study. The intent is to first expose the reader to the concepts, applicable definitions, and execution of fractional calculus (including a discussion of notation, operators, and fractional order differential equations), and second to show how these may be used to solve several modern problems. Also included within is a list of applicable references that may provide the reader with a library of information for the further study and use of fractional calculus.