FOCUS ON THE USE OF SIMULATION IN CLINICAL EDUCATION|PROVIDE AN OPPORTUNITY TO BROADEN UNDERSTANDIN

Module overview

The module is divided into 4 units. Each unit contains some useful information and guidance in order to complete a series of tasks.

Unit 1:-...

Differential and Riemannian Geometry provide an important tool in modern mathematics,impacting on diverse areas from the pure to the applied. The first aim of...

Differential and Riemannian Geometry provide an important tool in modern mathematics,impacting on diverse areas from the pure to the applied. The first aim of this course is to give a thorough introduction to the theory of abstract manifolds, which are the fundamental objects in Differential Geometry. The second aim is to describe the basics of Riemannian Geometry, in particular the notion of geodesics and curvature. Our final objective will be to analyse manifolds with constant curvature, with a focus on the sphere and hyperbolic space. By the end of the course, students will have a thorough understanding of curved spaces and will have gained an introduction to the applications of Riemannian geometry to topology.

Analytical dynamics develops Newtonian mechanics to the stage where powerful mathematical techniques can be used to determine the behaviour of many physical...

Analytical dynamics develops Newtonian mechanics to the stage where powerful mathematical techniques can be used to determine the behaviour of many physical systems. The mathematical framework also plays a role in the formulation of modern quantum and relativity theories. Topics studied are the kinematics of frames of reference (including rotating frames), dynamics of systems of particles, Lagrangian and Hamiltonian dynamics and rigid body dynamics. The emphasis is both on the formal development of the theory and also use of theory in solving actual physical problems.

Rings are the basic mathematical entities in which we calculate. The most elementary examples are fields and the resulting theory is completely covered in the...