Handbook

This unit will broaden your exposure to the toolkit of applied mathematics techniques required to tackle various problems encountered in real-world modelling. Building on the prerequisite knowledge of linear algebra and multivariable calculus, you will learn methods for reducing real world problems into mathematical ones. You will then learn a broad range of analytical techniques focused on some commonly encountered systems in modelling. Some of these topics include analysing dynamical systems and partial differential equation models, and understanding the derivation of continuum mechanics models. Application areas include traffic modelling, heat flow, multiphase flow, solidification and other scientific and industrial problems. Whilst we will discuss various specific applications, the emphasis will be placed on mathematical methods and, in particular, a unique quantitative perspective of scientific processes. You will have the opportunity to consider a specific real world problem using your own mathematical modelling approach alongside a cohort of students. Assessment will include examination of the mathematical content but also working in teams to solve real-world problems in a creative way, and presenting and communicating the results and your own ideas.