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ABSTRACT
This paper presents a series of basic computational problems that are mathematically and/or graphically appealing, and provides an idea of places one might go in trying to understand what is happening, integrating mathematics, computation, and graphics. The real point of this paper is to make a case, through those examples, for computation as an early and integral part in the undergraduate mathematics curriculum. By computation we mean the ability to rapidly and easily program exploratory calculations, and as well display the results with a versatile suite of graphics capabilities. The problems used here, and the philosophy behind them, derive from a MATLAB-based course in computation, programming, and mathematical applications that the author has taught for over 10 years.
DISCLOSURE STATEMENT
No potential conflict of interest was reported by the author.
Additional information
Notes on contributors
Harvey Diamond
Harvey Diamond received his Ph.D. at M.I.T. in 1977 and has been a faculty member at West Virginia University since then. His interests are in applied mathematics, broadly interpreted. He has enjoyed teaching (with minimal oversight) an introductory course in MATLAB and associated applications in mathematics for over 10 years, in which every semester brings some new discoveries and mindblowing images, and through which he is able to indulge his interest in exploratory programming and graphics, first begun with punchtape on a Monrobot Mark 11 in high school.