Level of study Third/Final year
Credit value 20
Semester Students may study either 1, 2 or both.
Pre-requisite modules 22488,22497,22499
Semester 1: This module uses real and complex analysis to develop the theory of Fourier transform 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.
Semester 2: This module introduces students to the techniques and analysis of numerical methods in linear algebra, specifically to the numerical solution of linear equations and the numerical determination of eigenvalues and eigenvectors. The theory is further illustrated by applications using current software packages like eg., Maple or Matlab.