This course covers three topics. The first, Linear Systems, considers linear second-order differential equations, phase planes and modelling various applicable systems using eigenvectors. The second topic, Probability, considers the fundamental laws of probability including continuous and discrete random variables, with applications to system reliability. The third topic, Multivariable Calculus, introduces the student to calculus in two dimensions such as gradients, line and double integrals and basic vector fields. There will be some use of computer packages such as MATLAB.