Data science has become pervasive in society, with the collection, management and exploitation of data key to how the modern world works. Key methods and approaches will be introduced that are both practically relevant and will support further academic study.
This module provides a comprehensive introduction to practical data science in the R programming language.
We all, in many contexts, face ethical questions: whether to tell the truth or lie, whether to keep a promise or break it, whether to refrain from intervening in some dispute or instead step in. Questions like these are at once tremendously important, but also often tremendously difficult to resolve. This module looks in detail at philosophical attempts to systematically study ethics and ethical decision making, at key theories and arguments on these difficult topics. Perhaps some systematic theory can answer all our ethical questions for us, and even if not, attempts to generate such theories might still teach us valuable lessons about what it is to act ethically. This module will explore these questions at an advanced level.
This module provides a critical understanding of fundamentals of financial accounting. It examines how financial statements are prepared and the concepts and measurement issues underlying their preparation, enabling you to appreciate the way that recording financial information provides a basis of control. The module will consider how financial performance and other information are reported by management in the published financial reports of companies, and how this information may be used by shareholders and analysts, and other stakeholders.
This module will allow students to examine the broader context of health, across the life course, from pre-conception to death. During this module, students will have the opportunity to examine and assess health and health status across the life course, and plan person centered and family centered care. Students will consider working in partnership with those with diverse needs from a range of different groups within society. This will include consideration of inclusive health across the lifespan and the intersections of child, adult, mental health, and learning disability nursing.
Physical Chemistry is concerned with the application of physics to the study of chemical systems. Through physical chemistry one can understand and predict the behaviour of chemical systems, thereby allowing these systems to be optimised. This module will provide an introduction to kinetics (how fast chemical reactions happen) and to the fundamental concepts and reasoning of quantum mechanics.
This module provides you with the theoretical background and practical knowledge of management accounting. It introduces fundamental concepts of relevant cost and revenue for decision making and more contemporary management control techniques.
This fundamentals module is aimed primarily for the MSc students in Maritime Engineering Science and students on the MECH/Navel Engineering programmes. It provides them with the essential knowledge of Maritime Engineering required for their subsequent studies. This module can also be taken by other students who may need the relevant information for their degrees, subject to their Degree programme regulations. Lectures are delivered in Teaching Weeks 0 of the academic year with tutorials, examination, and coursework completed during the rest of the semester.
The module will provide students with an understanding of the basic human anatomy (study of the structure) and physiology (study of the function). The students will learn the coupling of structure with function through a series of lectures and labs. The use of computer-assisted learning during lab sessions will enable the students to learn using virtual 3D representations taken from the freely available or computer-generated Human data sets. The learning is supported by lab sessions to give practical experience of what is learned in class.
This module will provide students with an introduction to the fundamental concepts and principles of remote sensing (which broadly involves the use of remote observations, often space-based observations, to make inferences about the state of the Earth's environment). It will focus on the radiometric concepts that underpin remote sensing such as electromagnetic radiation (EMR), EMR interaction with atmospheric and earth surface features, techniques for extracting useful information from remote sensing data(e.g., inversion, estimation and classification approaches), and how remote sensing data can be used in various terrestrial applications.
This module teaches you the fundamental clinical skills needed to engage with adult clients, to help you assess their readiness to change, and to plan appropriate behavioural interventions. You will make use of these skills in workshop based teaching for other modules on the Programme and will learn how to adapt your approach when working with clients from diverse backgrounds. You will build on your skills to prepare clients for ending therapy and reduce the risk of relapse. Teaching will cover face to face and consideration of online delivery of therapy.
Physical Chemistry is concerned with the application of physics to the study of chemical systems. Through physical chemistry one can understand and predict the behaviour of chemical systems, thereby allowing these systems to be optimised. This module will provide an introduction into the fundamentals of physical chemistry, focusing on basic chemical thermodynamics, the principle of equilibrium and its application to acid-base and electrochemical systems.
Vibrations are the oscillation of a mechanical structure. Vibration may be desirable as in the strings of a guitar or in the human vocal cords. More often vibrations are undesirable as for the vibrations of an electrical motor or of an entire car. In both case modelling can inform the designer so that vibration can be precisely obtained or avoided. Although the optimal and cost effective way to minimise the vibration of a structure is by careful engineering early in the design cycle, frequently the engineer must turn to palliative measures to control vibration at a stage in the design when even minor modifications to the structure are prohibitively costly or detrimental to other performance targets. The general aims of this module are to introduce students with little or no previous experience of mechanical vibrations, and with quite different backgrounds, to the basic concepts of vibrational behaviour, to provide a general introduction to vibration modelling, analysis and control and to give students some experience of vibration measurement. This module also promotes the principles which can influence the design process of mechanical structures and it presents a number of commonly adopted techniques for trouble-shooting vibration problems.
Number Theory is the study of integers and their generalisations such as the rationals, algebraic integers or finite fields. The problem more or less defining Number Theory is to find integer solutions to equations, such as the famous Fermat equation x^n + y^n = z^n. In this module we build on the group, ring and number theoretic foundations laid in MATH1001, MATH2003 and MATH3086. We will first prove a structure theorem for the group of units modulo n. We then move on to the famous Gaussian Quadratic Reciprocity Law which yields an algorithm to decide solvability of quadratic equations over finite fields. Using geometric as well as algebraic methods, we will then characterise which integers can be written as the sum of two and four squares, respectively. The former leads us naturally to the study of binary quadratic forms, a central topic of this module. In the final part of this module, we will explore rings of integers in algebraic number fields; they generalise the role the integers play within the rational numbers; the simplest new example is the ring of Gaussian integers, Z[i]. We will investigate to what extent certain central properties of the integers, such as unique prime power factorisation, generalises to these rings. The deviation from unique prime factorisation is measured by the so-called ideal class group, probably the most important invariant of algebraic number fields. It can be seen that it is finite and that its order for quadratic number fields is intimately related to the number of equivalence classes of quadratic forms introduced earlier in the module.
Number Theory is the study of integers and their generalisations such as the rationals, algebraic integers or finite fields. The problem more or less defining Number Theory is to find integer solutions to equations, such as the famous Fermat equation x^n + y^n = z^n. In this module we build on the group, ring and number theoretic foundations laid in MATH1001, MATH2003 and MATH3086. We will first prove a structure theorem for the group of units modulo n. We then move on to the famous Gaussian Quadratic Reciprocity Law which yields an algorithm to decide solvability of quadratic equations over finite fields. Using geometric as well as algebraic methods, we will then characterise which integers can be written as the sum of two and four squares, respectively. The former leads us naturally to the study of binary quadratic forms, a central topic of this module. In the final part of this module, we will explore rings of integers in algebraic number fields; they generalise the role the integers play within the rational numbers; the simplest new example is the ring of Gaussian integers, Z[i]. We will investigate to what extent certain central properties of the integers, such as unique prime power factorisation, generalises to these rings. The deviation from unique prime factorisation is measured by the so-called ideal class group, probably the most important invariant of algebraic number fields. It can be seen that it is finite and that its order for quadratic number fields is intimately related to the number of equivalence classes of quadratic forms introduced earlier in the module. One of the primary domains where number theory finds applications is cryptography. We will study some of the famous cryptosystems where number theory has applications. In particular, Rabin cryptosystem, Goldwasser-Micali cryptosystem, lattice based cryptosystems, elliptic curve cryptography are among those.
This module aims to expand your statistical toolbox by exposing you to a broad set of modelling techniques to employ with data that would not satisfy the assumptions of the mainstream Linear and Generalized Linear models. The first half of the module will follow an explanatory approach, introducing Multilevel (Mixed effects) and Marginal models to understand and deal with the type of correlation found in hierarchical and longitudinal data. The second half of the module will introduce a set of modelling techniques widely used in the predictive approach, such as non-parametric regression, Generalized Additive Models (GAM), Penalized Regression or Classification and Regression Trees (CART).
This module provides a broad introduction to more advanced regression methods such as multilevel models, non-parametric and penalised regression and Generalized Additive models. The module assumes that students are familiar with basic regression techniques such as Linear Regression and Logistic regression.
This course aims to introduce some advanced techniques that hold potential for applications in the future generations of wireless communication systems. Currently, research and development in wireless communications is focused on the sixth generation (6G), which is expected to significantly enhance 5G in both techniques and services. This course will cover several candidate techniques designed to enable 6G wireless systems. The course begins by covering the principles of cooperative communications. Various relay/cooperation protocols are considered and analysed to demonstrate their advantages and challenges. Next, it focuses on non-orthogonal multiple access (NOMA), a technique that allows densely deployed users (or devices) to simultaneously transmit their information. Subsequently, the course addresses the principles of full-duplex communication, exploring the challenges of self-interference and corresponding self-interference cancellation techniques, as well as examining the potential of full-duplex for wireless system design. Then, it introduces integrated sensing and communication (ISAC), providing several examples to explain the principles and illustrate the design trade-offs. A review of the fundamentals of MIMO is then provided, followed by analysing the potential of MIMO for meeting the requirements of future wireless systems. A range of technical options for MIMO transceiver optimisation are discussed. Built on the above theoretical foundation, the course then covers the multi-user MIMO and massive MIMO, with the emphasis on their principles, characteristics, and implementation challenges. Finally, the course covers millimeter wave (mmWave) communications. It begins with an overview of mmWave technology, then characterizes mmWave channels, highlighting key differences from conventional radio frequency (RF) communication channels. The course concludes with an introduction to several advanced techniques for the design and optimization of mmWave systems.
In the last 30 years derivatives have become increasingly important in finance and many different types of derivatives are actively traded on exchanges throughout the world. This module explores the pricing and use of forwards, futures and options with a particular focus on contracts where the underlying asset is a financial asset - for example, a stock index (i.e. stock index futures or stock index options). Students will learn how to price these derivatives using various techniques as well as understand how we can use them for (i) speculation, (ii) hedging strategies and (iii) arbitrage. The nature of the subject makes the module more suitable for students with a solid background in mathematics and familiarity with differential calculus and systems of equations.
We will start from outlining fundamental questions we must answer in order to build up a picture of an astrophysical object, e.g., what is it made of? How luminous? How big? How old? How fast? How heavy? These seemingly simple questions are surprisingly difficult to answer but we will cover the different astrophysical tools used to answer them. We will then move outwards to consider the demography, spatial distribution, and environment of galaxies, in the ‘field’ and in clusters. We will then consider galaxies very distant from us in space and time, discuss galaxy formation and evolution, and have an overview of Active Galaxies, super-massive black holes and their co-evolution with their host galaxies.
