•     To consolidate and extend the mathematics required by physical scientists. •     To assist students in acquiring the skills necessary to use the mathematical techniques        developed in the module.

(LO1) be able to manipulate matrices with confidence and use matrix methods for solving simultaneous linear equations;

(LO2) have an introductory knowledge of vector algebra, functions of several variables and vector calculus;

(LO3) be familiar with some methods of solving first and second order differential equations in one variable.

Matrices: Addition, multiplication.  Determinant, inverse.   Solutionsof linear equations by matrix methods. Introduction to vector calculus: Vector and scalar fields.   Grad,Div, Curl in Cartesian co-ordinates. Applications including work done, moment of a force, angular momentum, gravitational and electromagnetic fields.  Differential equations: First and second order differential equations in one variable.  Separable equations, integrating factors, homogeneous. Applications involving different boundary conditions, electrical circuits, damped and forced vibrations, gravitational motion. (Mention of Laplace's and Poisson's equations and different co-ordinatesystems).  Series solutions.  LegendrePolynomials (Mention of Spherical Harmonics and Schrödinger's equation).  Fourier Series and Transforms: Fourier Series, periodic functions, even and odd expansions. Fourier integrals, non periodic functions. 0; Fourier Transforms. (Mention some of the applications).