ACOUSTIC WAVES|ELECTROMAGNETIC WAVES|PLANE WAVE REFLECTION|RADIATION|GREENS FUNCTIONS

Modelling the propagation and scattering of acoustic and electromagnetic waves has proved a major challenge to mathematicians and physicists for many...

Modelling the propagation and scattering of acoustic and electromagnetic waves has proved a major challenge to mathematicians and physicists for many centuries, and its practical importance can be observed in many applications prevalent throughout our modern world. These include the mitigation of aircraft, rail and traffic noise in urban areas, sonar detection, wireless and fibre optic communication, baggage screening, medical diagnostics and the workings of the cochlea. This course aims to provide an introduction to linear and nonlinear wave theory and the approximate methods used to tackle wave reflection, transmission and scattering in inhomogeneous media.

The traditional title for this material is Advanced Calculus and Geometry. Building on the material covered in MATH0040, it provides a foundation course in...

The traditional title for this material is Advanced Calculus and Geometry. Building on the material covered in MATH0040, it provides a foundation course in 3-dimensional geometry, calculus of several variables, differential operators and eigenvalue problems.

The course provides the type of mathematics useful in physical sciences. It focuses on revising and extending A-level work, aimed at those with a high pass (B...

The course provides the type of mathematics useful in physical sciences. It focuses on revising and extending A-level work, aimed at those with a high pass (B or A) in A-level Mathematics.

Teaching Delivery: This module is taught in 20 weekly lectures.

Content: This module aims to enable students to acquire the principles and techniques of...

Teaching Delivery: This module is taught in 20 weekly lectures.

Content: This module aims to enable students to acquire the principles and techniques of writing Latin prose (translation from English). We will use the text-book R. Ashdowne & J. Morwood 2007 Writing Latin: An introduction to writing in the language of Cicero and Caesar (London). To begin with, we will revise the more complex constructions of Latin syntax, and translate sample sentences from English into Latin. After the first few weeks, we will proceed to translating passages of around 200 words, and eventually, we will move onto translating more extended passages of English prose. Each week, for homework, students will be expected to translate sentences or passages from English into Latin, and to revise their knowledge of Latin accidence. In class, we will test the students’ knowledge of accidence, go over the homework, and cover new topics in Latin syntax.

Skills: Students will develop their ability to express themselves in writing, to analyse sentence structures, and to solve complex problems by applying extensive memorized information.

Introductory reading: R. Ashdowne & J. Morwood 2007 Writing Latin: An introduction to writing in the language of Cicero and Caesar (London); Tobias Reinhardt, Michael Lapidge & J. N. Adams (edd.) 2005 Aspects of the Language of Latin Prose (Oxford) (see the introduction in particular).