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

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. Supplemental exam if required will consist of 100% exam.