• Semester 1 (Day)
• Semester 1 (External)

Pre-requisite: 64613/75613

Synopsis

1. Organization:

The  unit  is offered in two concurrent modules. Module 1 is concerned
with topics in advanced calculus and vector analysis and Module 2 with
ordinary and partial differential equations.

2. Content:

Module 1 - deals with smooth scalar and vector functions of scalar  or
vector variables; in particular with curves and surfaces in space  and
scalar  and vector fields. Line, surface and volume integrals and  the
theorems  of  Gauss  and  Stokes  lead  to  the  development  of   the
fundamental  equations of mathematical physics and the  discussion  of
conservative fields and potentials.

Module 2 - deals with the description of linear systems through linear
differential equations. Laplace transform techniques are developed  to
analyse  the  nature of system response to impulses and other  inputs.
Fourier series and transform techniques are also discussed.