The course covers material from ordinary differential equations (ODE's), complex numbers and probability. These are arguably the most important tools when Mathematics is applied to situations in science and engineering. Students will study first-order and second-order ODE's analytically, graphically and numerically. Many applications of ODE's will be explored. The possibilities that complex numbers open up are fascinating, and proficiency in them is developed. Random variation is present in almost all modelling situations. The foundation to probability presented here will make students aware of how much order there is in 'randomness' and how uncertainty can be quantified.