MATH30090

Learning Outcomes:

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 diameter of a set; the boundary, closure and interior of sets; balls; open and closed sets; density; the topology of a metric space; convergence of sequences; continuity of functions; Cauchy sequences; completeness and a selection of additional topics that will be covered in the course (for example, isolated points and accumulation points, fixed point theorems, compactness, connectedness).

Student Effort Hours:

Approaches to Teaching and Learning:

Requirements, Exclusions and Recommendations

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.

Module Requisites and Incompatibles

Assessment Strategy

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

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