Functional Analysis (L.7) (851G1)
15 credits, Level 7 (Masters)
Autumn teaching
In this module, you will study:
- 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.
Teaching
100%: Lecture
Assessment
20%: Coursework (Portfolio, Problem set)
80%: Examination (Unseen 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 5X社区视频 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鈥檙e planning to run these modules in the academic year 2024/25. However, there may be changes to these modules in response to feedback, staff availability, student demand or updates to our curriculum.
We鈥檒l make sure to let you know of any material changes to modules at the earliest opportunity.