The student should learn how to recognize, manipulate and apply the foundational concepts of metric analysis: metric spaces and metrics; isometries; the distance between points and sets; the boundary, closure and interior of sets; open and closed sets and balls; the topology of a metric space, convergence of sequences and continuity of functions; Cauchy sequences; compactness, completeness, fixed point theorems and a selection of additional topics as covered in the course (for example, normed vector spaces, isolated points and accumulation points, the diameter of a set, connectedness).

The student is required to have attained the learning outcomes of a module in elementary real analysis such as MATH10320, which includes the rigorous definitions of the convergence of a sequence of real numbers and the continuity of a function on the real numbers.

All questions about eligibility should be addressed to the module coordinator.

• Group/class feedback, post-assessment

Not yet recorded.