The course covers two distinct topics. The first, Partial Differential Equations (PDEs), looks at the basics of mathematical modelling with PDEs, with special emphasis on diffusion and wave equations in Cartesian, cylindrical and spherically symmetric systems. The course will cover separable PDEs and orthogonal functions. The second topic, Probability and Statistics, builds on the first-year probability course to consider a selection of topics such as: lifetime distributions, hypothesis testing, lifetime data and regression. Computer packages such as Excel, R and MATLAB will be used in both topics to analyse typical engineering problems.