Medical Physics and Biomedical Engineering

This module is for students who undertake an extra mural year in the Biomedical Engineering third year of study.

SHIP STRUCTURES|SUBSEA STRUCTURES|FINITE ELEMENT ANALYSIS

Overview:

This advanced module in surface ship and subsea structural design covers loading, structural synthesis techniques at hull girder and grillage...

Overview:

This advanced module in surface ship and subsea structural design covers loading, structural synthesis techniques at hull girder and grillage levels, stress analysis and failure modes.

The aim of the module is to give students an advanced theoretical grounding in one of the fundamental analytical discipline fields of Naval Architecture and Ocean Engineering.

Topics covered:

Ship Structural Design
	Finite Element Analysis
	Grillage Synthesis
	Subsea Structural Design

Overview:

This module provides a systematic understanding, and the ability to deploy accurately, established naval architectural and ocean engineering...

Spectral theory came to prominence when quantum mechanics was introduced in modern physics. In quantum mechanics classical quantities (position, momentum etc)...

Spectral theory came to prominence when quantum mechanics was introduced in modern physics. In quantum mechanics classical quantities (position, momentum etc) are represented by operators (bounded, unbounded, self-adjoint etc). The eigenvalues of these operators are the only precise measurements of the quantity. Without requiring knowledge of physics, this course introduces the fundamentals of such operators and the space of their eigenvalues, which is called the spectrum.

This is a course in number theory. An elliptic curve is an equation of the form y2 = x3 + ax2 + bx + c, where a, b, c are given rational numbers. The aim of...

This is a course in number theory. An elliptic curve is an equation of the form y2 = x3 + ax2 + bx + c, where a, b, c are given rational numbers. The aim of the course is to be able to find the solutions (x, y) to this equation with x and y rational numbers. The methods used are from geometry and algebra. The study of elliptic curves is an important part of current research in number theory and cryptography. It was central to the proof of Fermat's last theorem. There are still many unsolved problems in this area, in particular the Birch-Swinnerton-Dyer conjecture, for which there is a $1 million prize offered by the Clay Institute.