Role within programme and connections to other courses. In the course of an undergraduate physics programme we employ a variety of theoretical techniques. This course exposes us to theoretical ideas that are widely applicable in electromagnetism, quantum mechanics, classical mechanics and relativity. Special emphasis will be placed on demonstrating the general nature of the topics considered. Content. Non-orthogonal, non-normalised bases, tensors, special functions (general solutions to second order differential equations) and expansions in special functions, integral transforms (Fourier, z-transform, Laplace transform).