Course Details in

Module Title	Transform Theory
School	Mathematics
Department	Mathematics
Module Code	06 21059
Module Lead	Dr Jonathan Bennett
Level	Masters Level
Credits	10
Semester	Semester 1
Pre-requisites
Co-requisites
Restrictions	MSci Mathematics G103 - optional
Contact Hours	Lecture-23 hours Tutorial-5 hours Total: 28 hours
Exclusions
Description	This module uses real and complex analysis to develop the theory of Fourier transforms up to the inversion formula for piecewise smooth functions. The properties of the Lebesgue integral that are needed are stated as facts at the beginning of the course and it is used throughout. The properties of the Laplace transform are deduced as a special case of the Fourier transform.
Learning Outcomes	By the end of the module the student should be able to: understand the basic theory of the Fourier and Laplace transform including their inversion formulae defined on suitable function space; use them to solve partial differential and integral equations; explore these topics beyond the taught syllabus.
Assessment	21059-01 : CA Sem 1 : Coursework (10%) 21059-02 : Exam : Exam (Centrally Timetabled) - Written Unseen (90%)
Assessment Methods & Exceptions	90% exam and 10% continuous assessment
Other
Reading List