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Mathematical Methods 4 (MATH0056)

Key information

Faculty
Faculty of Mathematical and Physical Sciences
Teaching department
Mathematics
Credit value
15
Restrictions
This module is normally taken as an option by second or third year students on single or combined honours mathematics degrees, who have taken MATH0013 and MATH0016. It may be suitable for other students with a suitable background in mathematical methods and complex analysis. Mathematics students can only take this at level 6.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

This course continues from the course MATH0016 (previously MATH2401) and aims to introduce further tools required to solve the partial differential equations which arise in applied mathematics. It first looks at the application of the separation of variables method in cylindrical and spherical coordinates. This necessitates a study of Bessel's and Legendre's equations and their solutions. This is done via a combination of the Frobenius method of series solution of ODE's together with generating functions. The course then moves on to study transform methods of solving PDEs, complementing the method of separation of variables and concentrating on the Fourier and Laplace transforms. The necessary techniques of integration in the complex plane will be reviewed.

Module deliveries for 2024/25 academic year

Intended teaching term: Term 2 ÌýÌýÌý Undergraduate (FHEQ Level 7)

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
1
Module leader
Professor Gavin Esler
Who to contact for more information
math.ugteaching@ucl.ac.uk

Intended teaching term: Term 2 ÌýÌýÌý 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
185
Module leader
Professor Gavin Esler
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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