**Duration:**

**Number of lectures per week:** 3

**Assessment:**

**End-of-year Examination:** One three hour examination, Professor Crane: 100%

**Description: **

Curvilinear Coordinates, Vector Analysis

Gauss and Stokes Theorem

Fourier Series and transforms

Potential Theory, Legendre polynomial

Associated Legendre function, Spherical Harmonic, Bessel function

Wave equation and diffusion equation, Green's function

Calculus of Variation

Computational methods, Numerical Integration of Boundary Value Problems (ODEs),
Matrix methods for computing.

**Objectives:**

Introduction to basic techniques of applied mathematics, with
application.

Jun 10, 1998 Jun 10, 1998