Programme includes taught elements over all years which cover generic skills (professional skills, career planning), research methods, and discipline specific modules chosen from: numerical solution of ordinary differential equations; numerical solution of partial differential equations; dynamical systems; non-linear algebraic systems and optimisation; integral equations; finite-element analysis; advanced mathematical modelling; financial optimisation in practice; mathematical programming and optimisation; main research areas are: applied mathematics; mathematical physics; computational optimisation and modelling; operational research; numerical analysis and computation.