MTH5123 - Differential Equations - 2023/24

Differential equations are present in almost every application of mathematics to science, engineering, social sciences and economics. Difference is about change and differential equations focus on quantitatively describing the change of quantities of interest over space or time. Therefore, solving these equations can provide us with meaningful and extremely useful information about patterns of change (e.g. the volatility of stock markets) or underlying mechanisms of phenomena such as the behaviour of predators and preys in nature.  In this module, we will look at various techniques (both analytical and numerical) that can be used to solve these equations (accurately or approximately). Concepts and techniques from the first year Calculus modules will appear throughout the module. By the end of this module you will be able to describe the main features of ordinary differential equations and model real-world problems through them.