Pre-requisite: 64613/75613
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.