Skip to main content

Trinity College Dublin, The University of Dublin

Trinity Menu Trinity Search

School of Mathematics

You are here Courses > Undergraduate > Courses & Modules

Module MA22S3: Fourier Analysis for Science

Credit weighting (ECTS)
5 credits
Semester/term taught
Michaelmas term 2014-15
Contact Hours
11 weeks, 3 lectures including tutorials per week
Lecturer
Prof Ruth Britto
Learning Outcomes
  • Calculate the real and complex Fourier series of a given periodic function;
  • Obtain the Fourier transform of non-periodic functions;
  • Evaluate integrals containing the Dirac Delta;
  • Solve ordinary differential equations with constant coefficients of first or second order, both homogenous and inhomogenous;
  • Obtain series solutions (including Frobenius method) to ordinary differential equations of first or second order;
  • apply their knowledge to the sciences where relevant.
Module Content
 
Module Prerequisite
MA1S11 & MA1S12, co-requisite MA22S1
Assessment Detail
This module will be examined in a 2 hour examination in Trinity term. Continuous Assessment will contribute 20% to the final annual grade, with the examination counting for the remaining 80%. Supplemental exam if required will consist of 100% exam.