Course overview
This course introduces and develops the theory of integral transforms, with a focus on how they can be applied to solve problems in science and engineering. It introduces the Dirac delta function, a generalised function or distribution that can be used to represent a point source or instantaneous impulse. Students will develop a range of techniques for solving ordinary and partial differential equations using the Laplace and Fourier Transforms, including problems involving the Dirac delta-function. Students will also understand a range of other integral transforms, and how they are applied to solve specific types of problems.