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.
MA1S11 & MA1S12, co-requisite MA22S1
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.