Functional Analysis (L.7) (851G1)
15 credits, Level 7 (Masters)
In this module, you cover:
- Banach spaces, Banach fixed-point theorem, Baire's theorem
- bounded linear operators and on Banach spaces, continuous linear functionals, Banach-Steinhaus uniform boundedness principle
- open mapping and closed graph theorems, Hahn-Banach theorem
- Hilbert spaces, orthogonal expansions, Riesz representation theorem.
20%: Coursework (Portfolio, Problem set)
80%: Examination (Computer-based examination)
Contact hours and workload
This module is approximately 150 hours of work. This breaks down into about 33 hours of contact time and about 117 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.
We regularly review our modules to incorporate student feedback, staff expertise, as well as the latest research and teaching methodology. We’re planning to run these modules in the academic year 2022/23. However, there may be changes to these modules in response to COVID-19, staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of material changes to modules at the earliest opportunity.
This module is offered on the following courses: