Applied Mathematics II

School of Mathematics

College of Engineering and Physical Sciences

Details

Code 22504

Level of study Second Year

Credit value 20

Semester Both. However, it may be possible, on a case by case basis,for a student to study only one’s worth of material.

Pre-requisite modules 23601,23602,22482

Module description

In this module the concept of a phase space will be developed, with particular emphasis on the phase plane. We examine the theory of rigid body motions in three-spatial dimensions. We consider the time-optimal control of linear odes. Key theorems relate vector fields to their sources and give a precise characterisation of conservative vector fields. Vector calculus will be used to derive partial differential equations of mathematical physics. Methods of solving these equations will be introduced, using separation of variables. Calculus of variations will be introduced.

Teaching and learning methods

Lectures.