An overview of several mathematical models (of differential type) used in various fields of applied science (biology, physiology, industrial technologies) will be presented. Where necessary, the suitable mathematical prerequisites will be introduced. The precise content of the course (i.e. the specific models to be presented) may vary from year to year.
Online material accessible through the e-learning web site Moodle(e-l.unifi.it/course/view.php?id=1370)
Learning Objectives
Becoming aware of the possible use of mathematics to simulate enviromental,natural and industrial processes
Prerequisites
Only curricular courses of the first three years.
Teaching Methods
Frontal lessons
Type of Assessment
Oral examination based on a technical discussion over selected topics of the course with the aim of clarify the level of understanding reached by the student compared with what expected as explained above
Course program
The idea of mathematical modelling, additional topic in ODEs, cyclic elements in Rerum Vulgarium Fragmenta, climatic and paleo-climatic models, introduction to heat conduction, neutralization of acid waters, models of river flows, the Kelvin's estimate of Earth age, Turing's theory of morphogenesis, swimming at low Reynolds numbers.