**Duration:**

**Number of lectures per week:** 3

**Assessment:**

**End-of-year Examination:** One three hour examination

**Description: **

Curvilinear coordinates, Vector analysis

Theorems of Gauss and Stokes

Fourier series and transforms

Potential theory, Legendre polynomials

Associated Legendre function, Spherical harmonics, Bessel function

Wave equation and Diffusion equation, Green's function

Calculus of Variations

Computational methods

Numerical integration of Boundary Value Problems (ODEs)

Matrix methods for computing.

**Objectives:**

Introduction to basic techniques of applied mathematics, with
application.

May 13, 1999