Noise control engineering is concerned with the application of basic acoustics and vibration theory to reduce noise in practical situations. The noise control engineer needs to know how to set targets, how to characterise and quantify noise sources, and how to reduce noise either at source or, more commonly, in the transmission path. Suitable formulae are provided and explained for each of these steps. The main assessment consists of a design calculation study which makes use of these formulae to solve a practical problem. The report is written in a form suitable for a client.
This module will further establish your knowledge, technical skills and develop your clinical reasoning within non-invasive cardiology. The fundamental theme will be your ability to clinically interpret electrocardiographic data derived from a range of procedures including; 12 lead ECGs , ambulatory monitoring and cardiac stress testing and echocardiography. Your teaching will take place in a dedicated specialist facility at University Hospital Southampton and delivered by clinical specialists. All theory and practice is designed to prepare you for your year 2 clinical placement in a cardiac department.
Modern (and future) aircraft employ a variety of nonlinear techniques to both design control systems and perform analysis of the arising closed-loop. This is due to the fact that aircraft dynamics are fundamentally nonlinear and also, with the widespread use of digital fly-by-wire technology today, because engineers have considerably more opportunity to be flexible and adventurous with their designs. However, as with any control system, great care has to be taken to ensure that the arising system is stable and robust; this is all the more important with nonlinear methods as one cannot directly apply the powerful linear techniques which the student will be familiar with from classical control. This module will i) provide a broad and deep foundation in nonlinear control theory, ii) introduce the student to a number of interesting nonlinear controller design techniques, and iii) illustrate the use of such techniques using flight control examples. The module will highlight the opportunities and drawbacks provided by nonlinear techniques, equipping the student with a balanced appreciation of when and where such techniques may be effectively applied.
This module is designed to familiarise students with the principal theories, concepts, and research methods relevant to the area of nostalgia. The lectures and readings are designed to acquaint students with both classic and current research trends in the area of nostalgia. This module will help students to discover ways in which to apply the subject matter to their day-to-day experiences, and to better understand themself and others. Lectures will include discussion and class presentations. Discussion and class activities are important to class dynamics and the learning environment, and active participation will increase students understanding of the subject matter.
Students will learn about Nuclear Scattering, various properties of Nuclei, the Liquid Drop Model and the Shell Model, radioactive decay, fission and fusion. By the end of the course, the students should be able to classify elementary particles into hadrons and leptons, and understand how hadrons are constructed from quarks. They will also learn about flavour quantum numbers such as isospin, strangeness, etc. and understand which interactions conserve which quantum numbers. They will study the carriers of the fundamental interactions and have a qualitative understanding of QCD as well as the mechanisms of weak and electromagnetic interactions. This course provides an introduction to nuclear and particle physics. There are approximately 16 lectures for each section supplemented by directed reading. Lectures delivered using mainly blackboard and with a slight admixture of computer presentation for selected topics. There will be three problem sheets with respective three sessions devoted to going over these problem sheets. Model solutions will be provided after the problem sheets are due to be handed in. The problem sheets also contain non-assessed supplementary questions usually of a descriptive nature designed for deeper understanding of the material.
The aim of this module is to introduce students to some of the basic ideas of number theory, and to use this as a context in which to discuss the development of mathematics through examples, conjectures, theorems, proofs and applications. The module will introduce and illustrate different methods of proof in the context of elementary number theory, and will apply some basic techniques of number theory to cryptography. One of the pre-requisites for MATH3078
The solution of differential equations is essential in most mathematical sciences. This module introduces the numerical techniques needed when the problems are not analytically tractable, and the mathematical techniques to analyse the resulting numerical methods.
Often in mathematics, it is possible to prove the existence of a solution to a given problem, but it is not possible to "find it". For example, there are general theorems to prove the existence and uniqueness of an initial value problem for an ordinary differential equation. However, it is in general impossible to find an analytical expression for the solution. In cases like these numerical methods can provide an answer, albeit limited: for example, there are numerical procedures (called algorithms) that, given an initial value problem, will compute its solution. This module is designed to cover four key areas: linear equations, quadratures (ie the evaluation of definite integrals) and the solution of Ordinary and Partial Differential Equations. The nature of the module is eminently practical: we will cover relatively little of the mathematical background of the numerical techniques that we will study. On the other hand students will be required to do a reasonable amount of programming in eg python; part of the assessment will test their ability to code in a suitable language and to put into practice the theoretical methods studied at lectures. Seven computer laboratory sessions are associated to this module and will complement the lectures.
Introduce the students to the practical application of a relatively wide spectrum of numerical techniques and familiarise the students with numerical coding. Often in mathematics, it is possible to prove the existence of a solution to a given problem, but it is not possible to "find it". For example, there are general theorems to prove the existence and uniqueness of an initial value problem for an ordinary differential equation. However, it is in general impossible to find an analytical expression for the solution. In cases like these numerical methods can provide an answer, albeit limited: for example, there are numerical procedures (called algorithms) that, given an initial value problem, will compute its solution. This module is designed to cover four key areas: linear equations, quadratures (ie the evaluation of definite integrals) and the solution of Ordinary and Partial Differential Equations. The nature of the module is eminently practical: we will cover relatively little of the mathematical background of the numerical techniques that we will study. On the other hand students will be required to do a reasonable amount of programming in a language such as Matlab or Python; part of the assessment will test their ability to code in Matlab or Python and to put into practice the theoretical methods studied at lectures. Computer laboratory sessions are associated to this module and will complement the lectures. One of the pre-requisites for MATH6149
This module provides an in-depth coverage of key numerical analysis methods that are used to solve practical everyday problems that occur throughout engineering. You will learn the theory underlying these methods and how to code algorithms for these methods using Matlab® programming environment. Numerical Methods is an essential core module that aims to teach you the skill of managing and solving practical engineering problems through critical and logical thinking.
Modern macroeconomic research in academic, government and other institutions relies heavily on using numerical methods to simulate economic models and generate counterfactual outcome for policy analysis. This odule will familiarise the students with numerical methods that are state-of-the-art in macroeconomic research.
Mathematical models of key physical phenomena rely on nonlinear Partial Differential Equations, from industry to astrophysics to climate modelling. Detailed understanding of the solutions to these models requires, in general cases, numerical modelling. This module will introduce numerical methods for PDEs, together with analysis techniques for their stability and accuracy..
This module develops your knowledge and understanding of the causal relationship between nutrition, activity and health and the need to consider nutritional related problems in the context of global strategic ambitions, including the Sustainable Development Goals.
The module will start with an introductory session on common research techniques used in Biomedical Science. This will be followed by sessions covering the following topics: 1. Nutrition, muscle function and health (2 sessions) 2. Gut microbiota as a link between diet and health 3. Adipose tissue biology and immunometabolism (2 sessions) 4. Nutrition and immunity across the life course 5. Omega-3 for optimal health across the life course (2 sessions) The sessions will combine a seminar and general discussion in order to clarify any points and to frame any questions arising from the lecture that the students find interesting. Prior to each topic, a relevant primary research publication and supporting documentation that exemplifies research in the subject area will be provided. Students should read the paper prior to attending the session and pay particular attention to the methods section to ensure they are familiar with the basic principles of the techniques and/or any confusing abbreviations used. Methodological queries will be discussed at the session. For topics 1, 3 and 5, one or more students, depending on class numbers, will be designated to prepare an oral presentation on the selected paper for the following week. The presentation will comprise the paper and background questions arising from the article or the seminar. All students will be expected to join in the discussion of the paper during and after each presentation, although only those students who are presenting will be assessed. Presenting students will be expected to research other articles to introduce concepts in the paper. All students will be expected to research other articles to bring to the general discussion of the selected paper. For topics 2 and 4, all students will write a critical appraisal of a selected paper stating the hypothesis and summarising the background, methods used, results and conclusions with comment on strengths, weaknesses and any new questions arising as a consequence of the paper. There will be no oral presentation for these topics.
