This course covers three topics. The first topic, Differential equations, considers methods of solving first-order, second-order and high-order differential equations, as well as modelling various applicable systems using differential equations. 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.