The author discusses the definition of the ordinary points and the regular singular points of a homogeneous linear ordinary differential equation (ODE). The material of this note can find classroom use as enrichment material in courses on ODEs, in particular, to reinforce the unit on the Existence-Uniqueness Theorem for solutions of initial value…

Investigates the transformation of a developmental mathematics curriculum from a 30-year-old, non-applied passive learner environment to a curriculum that engages students in active learning situations rich in meaningful health-related applications using problem based learning (PBL). Describes the purpose of the Fund for the Improvement of…

When dealing with a complex problem, solving it by reduction to simpler problems, or problems for which the solution is already known, is a common method in mathematics and other scientific disciplines, as in computer science and, specifically, in the field of computability. However, when teaching computational models (as part of computability)…

For this FIPSE funded project, mathematics faculty attended allied health classes and allied health faculty attended developmental mathematics courses to incorporate health examples into the developmental mathematics curriculum. Through the course of this grant a 450-page developmental mathematics book was written with many problems from a variety…

Teaching is a scholarly activity and a life-long learning process with no single method or pedagogy that is always most effective. Applications of teaching pedagogies properly vary from content-based to discipline-based areas. In this paper, various teaching pedagogies, including scaffolding, concept mapping, constructivism, and learning…