The module facilitates the learning of advanced analytical and computational methods used in engineering and science.
Multiple integrals and their applications : line, surface and volume integrals. Green’s Theorem.
Vector operators; div, grad, curl.
Fourier series.
Power Series solutions to differential equations.
Matrix Eigenvalues and eigenvectors with applications. Solution of simple systems of ordinary differential equations using eigenvalues and application to vibration problems.
Numerical methods for the solution of differential equations, both first and second order.
Finite differences. Initial and boundary value problems.
