Key information
- Faculty
- Faculty of Mathematical and Physical Sciences
- Teaching department
- Mathematics
- Credit value
- 15
- Restrictions
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This module is normally taken (a) as an option by second or third year students on single or combined honours mathematics degrees and (b) as a compulsory module by second year students on Mathematics and Statistics, all of whom will have taken MATH0003 and MATH0004 Analysis 1 and 2. It may be suitable for other students with a suitable background in analysis, for example a strong result in MATH0048 Mathematical Analysis.
- Timetable
-
Alternative credit options
There are no alternative credit options available for this module.
This course introduces students to the foundations of modern mathematical analysis, reinforcing the concepts of convergence and continuity studied in the first year in the context of functions of a single real variable, and extending them to the setting of general metric and topological spaces. We introduce some powerful new concepts such as compactness, uniform convergence and contraction mappings, which, as an illustrative application, we use to prove well-posedness of initial value problems for ODEs. On top of its intrinsic elegance, the material studied in this course also prepares students for further study in functional analysis, partial differential equations, variational methods, numerical analysis and spectral theory.
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
-
144
- Module leader
-
Dr David Hewett
- 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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