Functional Analysis (MATH0018)

Key information

Faculty: Faculty of Mathematical and Physical Sciences
Teaching department: Mathematics
Credit value: 15

Restrictions: This module is normally taken by third year students on single or combined Mathematics degrees who have previously taken MATH0051 Analysis 4. It may also be suitable for other students with a strong background in Analysis.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

Elementary analysis mostly studies real-valued functions on the real line R or on n-dimensional space Rn. Functional analysis, by contrast, shifts the point of view: we collect all the functions of a given class (for instance, all bounded continuous functions) into a space of functions, and we study that space (and operations on it) as an object in its own right. Since spaces of functions are nearly always infinite-dimensional, we are led to study analysis on infinite-dimensional vector spaces, of which the most important cases are Banach spaces and Hilbert spaces. This course provides an introduction to the basic concepts of functional analysis. These concepts are crucial in the modern study of partial differential equations, Fourier analysis, quantum mechanics, probability and many other fields.

Module deliveries for 2024/25 academic year

Intended teaching term: Term 2 听听听 Undergraduate (FHEQ Level 6)

Teaching and assessment

Mode of study: In person
Methods of assessment: 90% Exam

10% Coursework
Mark scheme: Numeric Marks

Other information

Number of students on module in previous year: 32
Module leader: Dr Mikhail Karpukhin
Who to contact for more information: math.ugteaching@ucl.ac.uk

Last updated

This module description was last updated on 19th August 2024.

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Important information

The catalogue has been updated with key information about the modules that will run during the 2024/25 academic session. Current and prospective students can browse through the catalogue to consider possible module choices for the coming year.

Please note,听information in the catalogue is听subject to change as teaching and assessment arrangements for 2024/25 may need to be adjusted in line with the University's Feedback and Assessment principles and operating model.

Centrally managed exam durations will be provided on students' individual exam timetables. Arrangements for locally managed timed assessments and in-class activity will be confirmed by the teaching department for the module.

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