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Winkel, Brian J. – PRIMUS, 2012
This paper describes a forward approach to an inverse problem related to detecting the nature of geological substrata which makes use of optimization techniques in a multivariable calculus setting. The true nature of the related inverse problem is highlighted. (Contains 2 figures.)
Descriptors: Calculus, Geology, Mathematics Instruction, College Mathematics
Winkel, Brian J. – PRIMUS, 2011
We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and two-species competition models. We discuss student-evolved strategies and offer "Mathematica" code for a gradient search approach. We use historical (1930s) data from microbial studies of the Russian biologist,…
Descriptors: Population Growth, Calculus, Mathematics Instruction, College Mathematics
Rash, Agnes M.; Winkel, Brian J. – PRIMUS, 2009
This paper describes details of development of the general birth and death process from which we can extract the Poisson process as a special case. This general process is appropriate for a number of courses and units in courses and can enrich the study of mathematics for students as it touches and uses a diverse set of mathematical topics, e.g.,…
Descriptors: Equations (Mathematics), Probability, Calculus, Mathematics Instruction