Integral transforms are the most rarefied of analyses – only used by a subset of engineers and computer scientists; laboured over by many an undergraduate, usually with the accompanying moans; yet every computer, every electronic circuit is an incomprehensible jumble of wires without knowledge of integral transforms. The most common, the Fourier transform, is estimated to be the algorithm that is most computed in the world but what of Laplace and z-transforms? This lecture will explain without using daunting mathematics.