This article describes one university's experience in creating a master's geriatric clinical nurse specialist-nurse educator program to address the nursing faculty shortage and the need for geriatric clinical nurse specialists. The successes and challenges are outlined, and curricular ideas that may be beneficial to other nursing programs also are presented. This program has enhanced the univer...

Abstract The primary object of study is the “cosine-sine” functional equation f ( xy ) = x g y )+ h for unknown functions f, g, : S → ℂ, where a semigroup. name refers to fact that it contains both sine and cosine addition laws. This has been solved on groups semigroups generated by their squares. Here we find solutions larger class discuss obstacles finding general solution all semigroups. Exa...

in this article, we investigate sufficient conditions for existence of maximal and minimalsolutions to a coupled system of highly nonlinear differential equations of fractional order with mixedtype boundary conditions. to achieve this goal, we apply monotone iterative technique togetherwith the method of upper and lower solutions. also an error estimation is given to check theaccuracy of the me...

Most mathematicians consider themselves, at least to some degree, to be both educators and researchers. Yet few embrace or even respect the subject at the intersection of these fields: research in mathematics education. Mathematicians rarely apply their own logical acumen to assessment of teaching and learning, nor do they often read the vast and growing literature in educational research. They...

I t is a widespread fallacy that what mathematics contributes to biology is quantification of an otherwise innumerate science. But experimental biologists have long been expert at measuring and quantifying. The real contribution of mathematics lies in a precise qualitative framework of reasoning. The ratelimiting step in the advance of biology is usually experiment, not theory. (One of the very...