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Groetsch, C. W. – PRIMUS, 2011
The interplay of physical intuition, computational evidence, and mathematical rigor in a simple trajectory model is explored. A thought experiment based on the model is used to elicit student conjectures on the influence of a physical parameter; a mathematical model suggests a computational investigation of the conjectures, and rigorous analysis…
Descriptors: Mathematical Models, Calculus, College Mathematics, Computation
Groetsch, C. W. – PRIMUS, 2005
An aspect of the long history of the struggle to quantify motion is briefly traced through three extended problem sets suitable for use in first year calculus courses. The sketch culminates with an application of simple mathematics to one of the most current problems in the theory of the universe. (Contains 2 figures.)
Descriptors: Problem Sets, Calculus, Motion, College Mathematics