Learning Outcomes:
On completion of this module, the student is expected to: (1) demonstrate an understanding of the theoretical aspects of the topics covered in this module, and (2) be able to carry out any computations involving the objects described in this module (such as finding the determinant of a matrix). More generally, students should be able to recognise, read and correctly use standard mathematical symbols and notation. They should be able to ask pertinent questions, to decide which questions are relevant, answerable and so on. They must understand the reasoning behind any methods or procedures they use and be able to demonstrate that understanding. Students must also be able to produce examples themselves, in order to illustrate a definition, show a method, or test boundaries of an idea.