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This module develops the theory of groups beyond the finite setting studied in MATH2003. While many familiar results in algebra concern finite structures, a large part of modern mathematics studies infinite groups, whose behaviour is richer and often governed by geometry rather than counting.

We begin with structural examples, including finitely generated abelian groups and their classification, before introducing free groups and the combinatorial viewpoint of group theory via words and relations. This leads to geometric and graphical methods, including Cayley graphs and Stallings graphs, which allow algebraic problems to be studied using topology and geometry.

The module then explores how groups arise as symmetry groups of spaces. In particular, we study isometry groups of Euclidean, spherical and hyperbolic geometries, illustrating how algebra encodes geometric structure and how geometry constrains algebra.

Throughout the course, the emphasis is on developing intuition for infinite groups and on techniques that appear across modern areas of mathematics such as geometric group theory, topology and algebra.

This module develops the theory of groups beyond the finite setting studied in MATH2003. While many familiar results in algebra concern finite structures, a large part of modern mathematics studies infinite groups, whose behaviour is richer and often governed by geometry rather than counting.

We begin with structural examples, including finitely generated abelian groups and their classification, before introducing free groups and the combinatorial viewpoint of group theory via words and relations. This leads to geometric and graphical methods, including Cayley graphs and Stallings graphs, which allow algebraic problems to be studied using topology and geometry.

The module then explores how groups arise as symmetry groups of spaces. In particular, we study isometry groups of Euclidean, spherical and hyperbolic geometries, illustrating how algebra encodes geometric structure and how geometry constrains algebra.

Throughout the course, the emphasis is on developing intuition for infinite groups and on techniques that appear across modern areas of mathematics such as geometric group theory, topology and algebra.

Tomorrow’s healthcare professionals will work in a context characterised by continual change, challenging environments, rapidly evolving technologies and the need for innovation. To operate successfully in this context, these professionals must be able to influence the delivery of high quality, safe healthcare. They must be able to lead themselves, working autonomously, or as an equal partner with a range of other professionals, and be able to operate in interdisciplinary teams.

This module is concerned with the application of leadership and management to deliver and improve these complex health care systems. Rather than examining leadership in a vacuum, we will instead critically evaluate what leadership is and how it is applied to influence change in healthcare settings. We will discuss and analyse concepts, theories, characteristics, tools, and practices across the five broad themes of (1) leadership, (2) teamwork, (3) change and innovation, (4) service improvement and (5) risk, error and quality management. Much of the class time will be spent in critical discussions and analyses of case studies that illustrate the five central domains of the module.

The module aims to introduce you to the fields of information systems and the digital aspects of management in contemporary organisations.

You will be introduced to the key definitions and conceptualisations of information systems. The distinction between data, information and knowledge will be outlined, and new trends such as big data will be discussed and put into context. The components of an information system, information quality dimensions, and different perspectives on digital practices and business processes will be considered.

Information systems and related research fields are then examined and you will reflect on how research themes in these subject areas have over time varied from the study of the development, use and management of these systems within their traditional organisational boundaries to the wider societal impact of information and communication technologies or their role in globalisation, development, etc. The module addresses business applications of information technology, managing and evaluating information systems, systems development, and aspects of working with information systems in an organisational or societal setting. By the end of the module, you will have a background understanding of the areas studied in the Digital Strategy and Information Systems (DSIS) MSc programme and be able to position specific work in this area against its broader context.

The module aims to introduce you to the fields of information systems and the digital aspects of management in contemporary organisations.

You will be introduced to the key definitions and conceptualisations of information systems. The distinction between data, information and knowledge will be outlined, and new trends such as big data will be discussed and put into context. The components of an information system, information quality dimensions, and different perspectives on digital practices and business processes will be considered.

Information systems and related research fields are then examined and you will reflect on how research themes in these subject areas have over time varied from the study of the development, use and management of these systems within their traditional organisational boundaries to the wider societal impact of information and communication technologies or their role in globalisation, development, etc. The module addresses business applications of information technology, managing and evaluating information systems, systems development, and aspects of working with information systems in an organisational or societal setting. By the end of the module, you will have a background understanding of the areas studied in the Digital Strategy and Information Systems (DSIS) MSc programme and be able to position specific work in this area against its broader context.

The purpose of this module is to equip students with a useful grounding in digital strategy and information systems (IS) management. After introducing the characteristics and concepts of systems and IS, the module will provide an overview of strategic planning for IS, and also the important issue of the integration of digital strategies with business objectives. Particular attention will then be paid to the digital frameworks that are available to assist managers in IS strategic analysis and help them understand the strategic impact of digital trends ranging from social media to cloud computing and artificial intelligence. Issues surrounding the management of information technology (IT) projects, process improvement, organisational change, and IT outsourcing or offshoring are examined. The principles of digital privacy and data security are also considered.

The purpose of this module is to equip students with a useful grounding in digital strategy and information systems (IS) management. After introducing the characteristics and concepts of systems and IS, the module will provide an overview of strategic planning for IS, and also the important issue of the integration of digital strategies with business objectives. Particular attention will then be paid to the digital frameworks that are available to assist managers in IS strategic analysis and help them understand the strategic impact of digital trends ranging from social media to cloud computing and artificial intelligence. Issues surrounding the management of information technology (IT) projects, process improvement, organisational change, and IT outsourcing or offshoring are examined. The principles of digital privacy and data security are also considered.

The purpose of this module is to equip students with a useful grounding in digital strategy and information systems (IS) management. After introducing the characteristics and concepts of systems and IS, the module will provide an overview of strategic planning for IS, and also the important issue of the integration of digital strategies with business objectives. Particular attention will then be paid to the digital frameworks that are available to assist managers in IS strategic analysis and help them understand the strategic impact of digital trends ranging from social media to cloud computing and big data. Issues surrounding the management of information technology (IT) projects, process improvement, organisational change, and IT outsourcing or offshoring are examined. The principles of digital privacy and data security are also considered.

The purpose of this module is to equip students with a useful grounding in digital strategy and information systems (IS) management. After introducing the characteristics and concepts of systems and IS, the module will provide an overview of strategic planning for IS, and also the important issue of the integration of digital strategies with business objectives. Particular attention will then be paid to the digital frameworks that are available to assist managers in IS strategic analysis and help them understand the strategic impact of digital trends ranging from social media to cloud computing and big data. Issues surrounding the management of information technology (IT) projects, process improvement, organisational change, and IT outsourcing or offshoring are examined. The principles of digital privacy and data security are also considered.