MAT3243: FUNCTIONAL ANALYSIS (DTP)

The purpose of this module is to equip students with concepts of general topology such as topological spaces and their properties, mapping between topological spaces, homeomorphism, compactness, connectedness, reparability, It will also explore functional spaces such as Normed vector spaces, Banach, Hilbert, Linear operators, space of generalised functions and Sobolev spaces, Lebesgue integration and Gram–Schmidt orthogonalization in Sobolev spaces.