Analysis 3: Complex Analysis (MATH0013)

Key information

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

Restrictions: This module is normally taken as a compulsory course by second year students on single or combined honours Mathematics degrees. The normal pre-requisites are MATH0003 Analyis 1 and (preferably) MATH0004 Analysis 2. It may also be suitable for students who have done well in MATH0048 Mathematical Analysis or similar.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

This is a course on complex functions. The treatment is rigorous. Starting from complex numbers, we study some of the most celebrated theorems in analysis, for example, Cauchy鈥檚 theorem and Cauchy鈥檚 integral formulae, the theorem of residues and Laurent鈥檚 theorem. The course lends itself to various applications to real analysis, for example, evaluation of definite integrals and finding the number of zeros of a complex polynomial in a region.

Module deliveries for 2024/25 academic year

Intended teaching term: Term 1 听听听 Undergraduate (FHEQ Level 5)

Teaching and assessment

Mode of study: In person
Methods of assessment: 80% Exam

15% Coursework

5% In-class activity
Mark scheme: Numeric Marks

Other information

Number of students on module in previous year: 276
Module leader: Professor Alex Sobolev
Who to contact for more information: math.ugteaching@ucl.ac.uk

Last updated

This module description was last updated on 8th April 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 exams and in-class activity will be confirmed by the teaching department for the module.

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