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Direct linkDobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2004
Two heuristic and three rigorous arguments are given for the fact that functions of the form Ce[kx], with C an arbitrary constant, are the only solutions of the equation dy/dx=ky where k is constant. Various of the proofs in this self-contained note could find classroom use in a first-year calculus course, an introductory course on differential…
Descriptors: Calculus, Classroom Techniques, Teaching Methods, Mathematics Instruction
Wu, Dane W. Wu; Bangerter, Laura M. – International Journal of Mathematical Education in Science and Technology, 2004
Given a set of urns, each filled with a mix of black chips and white chips, what is the probability of drawing a black chip from the last urn after some sequential random shifts of chips among the urns? The Total Probability Formula (TPF) is the common tool to solve such a problem. However, when the number of urns is more than two and the number…
Descriptors: Probability, Biology, Mathematical Formulas, Computation
