Keele University Mathematics Undergraduate Programmes 2020 2020 Entry | Page 13

Undergraduate Programmes 2020 | 13 Dynamics At its outset the purpose of “classical mechanics” was to predict the future and determine the history of every particle in the universe. Modern science has established this to be an impossible task, however the laws of Newton are still widely applicable and contain a rich variety of phenomena of interest to many branches of science and engineering. In this module we use mathematics, Newton’s laws and concepts of energy to study a range of particle systems, including projectiles with air resistance, springs with damping and forcing, pendulums, rocket motion and planetary orbits. A key aspect of the module is the skill of translating a description of a physical system into a well-defined mathematical problem. Linear Statistical Models This module presents an introduction to statistical inference and illustrates the theory with practical applications to real life data sets. The first half of the module covers hypothesis testing, confidence interval and parameter estimation. The second half of the module considers regression and analysis of variance methods, and demonstrates how statistical models can be used to draw conclusions from observations and experimental data collected in the physical and social sciences. keele.ac.uk/scm