A discrete model of invasion by subversive alien bodysnatchers is constructed and analysed numerically as a proposed undergraduate project. Several extensions of the model are demonstrated, including a spatial system of ten planets arranged on a one-dimensional lattice, and we discuss some of the practical considerations that arise when…

Epidemiological models have enhanced relevance because of the COVID-19 pandemic. In this note, we emphasize visual tools that can be part of a learning module geared to teaching the SIR epidemiological model, suitable for advanced undergraduates or beginning graduate students in disciplines where the level of prior mathematical knowledge of…

The boundary element method provides an excellent platform for learning and teaching a computational method for solving problems in physical and engineering science. However, it is often left out in many undergraduate courses as its implementation is deemed to be difficult. This is partly due to the perception that coding the method requires…

In this article, we present the results of a qualitative research project on the effect of motion analysis activities in a Video-Based Laboratory (VBL) on students' understanding of position, velocity and frames of reference. The participants in our research were 48 pre-service teachers enrolled in Education Departments with no previous strong…

Discusses reasons for and ways of using computer software to teach mechanics. Describes using software to explore mechanics, challenge misconceptions, make links between mathematical representations and motion, and solve non-standard problems. Stresses the need for structured approaches to the use of software. (Contains 24 references.) (Author/ASK)

The way in which computer algebra systems, such as Maple, have made the study of physical problems of some considerable complexity accessible to mathematicians and scientists with modest computational skills is illustrated by solving the multiple pendulum problem. A solution is obtained for four pendulums with no restriction on the size of the…