Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…

Despite widespread calls for the incorporation of mathematical modeling into the undergraduate biology curriculum, there is lack of a common understanding around the definition of modeling, which inhibits progress. In this paper, we extend the "Rule-of-Four," initially used in calculus reform efforts, to a "Rule-of-Five"…

A common example of real-world motion that can be modeled by a differential equation, and one easily understood by the student, is the simple pendulum. Simplifying assumptions are necessary for closed-form solutions to exist, and frequently there is little discussion of the impact if those assumptions are not met. This article presents a…

This article describes the initial development of a qualitative system dynamics model as part of the periodic review of a mathematics course. In an effort to enhance the learning experience of undergraduate computing students (for whom the course is a compulsory part of their curriculum) a small sample of students were interviewed regarding their…

In this article we provide two detailed examples of how we incorporate biological examples into two mathematics courses: Linear Algebra and Ordinary Differential Equations. We use Leslie matrix models to demonstrate the biological properties of eigenvalues and eigenvectors. For Ordinary Differential Equations, we show how using a logistic growth…

We developed, piloted, and evaluated a successful model for integrating other disciplinary perspectives while learning a specific discipline. Faculty who taught first-year biology and mathematics courses produced examples of how these disciplines complement each other. These faculty presented students with the connecting threads that integrate…