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Masters Degrees (Complexity Theory)

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Excited by the role of mathematics in securing the modern electronics and communications that we all rely on? This intensive MSc programme explores the mathematics behind secure information and communications systems, in a department that is world renowned for research in the field. Read more

Excited by the role of mathematics in securing the modern electronics and communications that we all rely on? This intensive MSc programme explores the mathematics behind secure information and communications systems, in a department that is world renowned for research in the field.

You will learn to apply advanced mathematical ideas to cryptography, coding theory and information theory, by studying the relevant functions of algebra, number theory and combinatorial complexity theory and algorithms. In the process you will develop a critical appreciation of the challenges that mathematicians face in facilitating secure information transmission, data compression and encryption. You will learn to use advanced cypher systems, correcting codes and modern public key crypto-systems. As part of your studies you will have the opportunity to complete a supervised dissertation in an area of your choice, under the guidance of experts in the field who regularly publish in internationally competitive journals and work closely with partners in industry.

We are a lively, collaborative and supportive community of mathematicians and information security specialists, and thanks to our relatively compact scale we will take the time to get to know you as an individual. You will be assigned a personal advisor to guide you through your studies.

Mathematicians who can push the boundaries and stay ahead when it comes to cryptography and information security are in demand, and the skills you gain will open up a range of career options and provide a solid foundation if you wish to progress to a PhD. These include transferable skills such as familiarity with a computer-based algebra package, experience of carrying out independent research and managing the writing of a dissertation.

  • Learn from internationally renowned mathematicians, cryptographers and communications specialists.
  • Complete a cutting-edge research project under the supervision of cryptography and communications experts.
  • Enjoy the flexibility to tailor your degree to your interests and specialisms.
  • Join a mathematics department that ranks second in the UK for research impact and fourth for world leading or internationally excellent research output (Research Excellence Framework 2014).
  • Feel at home in a friendly department where you will be known as an individual.

Course structure

Core modules

  • Main Project
  • Advanced Cipher Systems
  • Channels
  • Theory of Error-Correcting Codes
  • Public Key Cryptography

Optional modules

In addition to these mandatory course units there are a number of optional course units available during your degree studies. The following is a selection of optional course units that are likely to be available. Please note that although the College will keep changes to a minimum, new units may be offered or existing units may be withdrawn, for example, in response to a change in staff. Applicants will be informed if any significant changes need to be made.

  • Applications of Field Theory
  • Quantum Information and Coding
  • Principles of Algorithm Design
  • Advanced Financial Mathematics
  • Combinatorics
  • Computational Number Theory
  • Complexity Theory
  • Inference
  • Topology
  • Applied Probability

Teaching & assessment

You will initially choose 8 courses from the list of available options, of which you specify 6 courses during the second term that will count towards your final award. You will also complete a core research project under the supervision of one of our academic staff.There is a strong focus on small group teaching throughout the programme.

Assessment is carried out through a variety of methods, including coursework, examinations and the main project. End-of-year examinations in May or June will count for 66.7% of your final award, while the dissertation will make up the remaining 33.3% and has to be submitted by September.

Your future career

By the end of this programme you will have an advanced knowledge and understanding of all the key mathematical principles and applications that underpin modern cryptography and communications. You will have advanced skills in coding, algebra and number theory, and be able to synthesise and interpret information from multiple sources with insight and critical awareness. You will have learnt to formulate problems clearly, to undertake independent research and to express your technical work and conclusions clearly in writing. You will also have valuable transferable skills such as advanced numeracy and IT skills, time management, adaptability and self-motivation.

Graduates from this programme have gone on to carry out cutting-edge research in the fields of communication theory and cryptography, as well as to successful careers in industries such as: information security, IT consultancy, banking and finance, higher education and telecommunications. Our mathematics postgraduates have taken up roles such as: Principal Information Security Consultant at Abbey National PLC; Senior Manager at Enterprise Risk Services, Deloitte & Touche; Global IT Security Director at Reuters; and Information Security Manager at London Underground.

The campus Careers team will be on hand to offer advice and guidance on your chosen career. The University of London Careers Advisory Service runs regular, tailored sessions for mathematics students, on finding summer internships or vacation employment and getting into employment.

  • Open doors to a range of exciting opportunities in academic research or professional employment.
  • Our strong ties with industry mean we understand the needs of employers and we have a strong track record of helping graduates into successful, high-level careers.
  • 90% of our graduates are in work or undertaking further study within six months of leaving (Unistats 2015).


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In this Master's specialisation, mathematicians working in areas pertinent to (theoretical) computer science, like algebra and logic, and theoretical computer scientists, working in areas as formal methods and theorem proving, have joined forces to establish a specialisation in the Mathematical Foundations of Computer Science. Read more

In this Master's specialisation, mathematicians working in areas pertinent to (theoretical) computer science, like algebra and logic, and theoretical computer scientists, working in areas as formal methods and theorem proving, have joined forces to establish a specialisation in the Mathematical Foundations of Computer Science. The programme is unique in the Netherlands and will be built on the excellence of both research institutes and the successful collaborations therein.

The emphasis of the Master's is on a combination of a genuine theoretical and up-to-date foundation in the pertinent mathematical subjects combined with an equally genuine and up-to-date training in key aspects of theoretical computer science. For this reason, the mathematics courses in this curriculum concentrate on Algebra, Complexity Theory, Logic, Number Theory, and Combinatorics. The computer science courses concentrate on Formal Methods, Type Theory, Category Theory, Coalgebra and Theorem Proving.

Within both institutes, ICIS and WINST, there is a concentration of researchers working on mathematical logic and theoretical computer science with a collaboration that is unique in the Netherlands. The research topics range from work on algebra, logic and computability, to models of distributed, parallel and quantum computation, as well as mathematical abstractions to reason about programmes and programming languages.

See the website http://www.ru.nl/masters/mathematics/foundations

Admission requirements for international students

1. A completed Bachelor's degree in Mathematics or Computer Science

In order to get admission to this Master’s you will need a completed Bachelor's in mathematics or computer science that have a strong mathematical background and theoretical interests. We will select students based on their motivation and their background. Mathematical maturity is essential and basic knowledge of logic and discrete mathematics is expected.

2. A proficiency in English

In order to take part in the programme, you need to have fluency in English, both written and spoken. Non-native speakers of English without a Dutch Bachelor's degree or VWO diploma need one of the following:

- TOEFL score of ≥575 (paper based) or ≥90 (internet based)

- IELTS score of ≥6.5

- Cambridge Certificate of Advanced English (CAE) or Certificate of Proficiency in English (CPE), with a mark of C or higher

Career prospects

There is a serious shortage of well-trained information specialists. Often students are offered a job before they have actually finished their study. About 20% of our graduates choose to go on to do a PhD but most find jobs as systems builders, ICT specialists or ICT managers in the private sector or within government.

Our approach to this field

In this Master's specialisation, mathematicians working in areas pertinent to (theoretical) computer science, like algebra and logic, and theoretical computer scientists, working in areas as formal methods and theorem proving, have joined forces to establish a specialisation in the Mathematical Foundations of Computer Science. The programme is unique in the Netherlands and will be built on the excellence of both research institutes and the successful collaborations therein.

The emphasis of the Master's is on a combination of a genuine theoretical and up-to-date foundation in the pertinent mathematical subjects combined with an equally genuine and up-to-date training in key aspects of theoretical computer science. For this reason, the mathematics courses in this curriculum concentrate on Algebra, General Topology, Logic, Number Theory, and Combinatorics. The computer science courses concentrate on Formal Methods, Type Theory, Category Theory, Coalgebra and Theorem Proving.

Our research in this field

Within both institutes, ICIS and WINST, there is a concentration of researchers working on mathematical logic and theoretical computer science with a collaboration that is unique in the Netherlands. The research topics range from work on algebra, logic and computability, to models of distributed, parallel and quantum computation, as well as mathematical abstractions to reason about programmes and programming languages.

See the website http://www.ru.nl/masters/mathematics/foundations



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Are you dismayed, disturbed and totally disenchanted with what is happening to the only real planetary home we have? So are we. But are you also excited by the opportunities and prospects this opens up for us to create a better, brighter and more beautiful world? So are we. Read more

Are you dismayed, disturbed and totally disenchanted with what is happening to the only real planetary home we have? So are we.

But are you also excited by the opportunities and prospects this opens up for us to create a better, brighter and more beautiful world? So are we.

Then join us in this innovative new postgraduate programme from Schumacher College in collaboration with the School of Architecture, Design and Environment at Plymouth University, the School of Design at Carnegie Mellon University, the Dartington Hall Trust and surrounding communities.

Ecological Design Thinking

Never has there been a more important time for a new approach for engaging with the challenging situations we face from the local to the global levels. In a rapidly changing dynamic situation, solutions rarely remain optimal for very long and continuous active participation is a necessary ingredient for success. Growing resilience in individuals and communities is the way to keep going despite the continuous change around us.

Our programme in Ecological Design Thinking embraces and explores this complex world of interactions with lively engagement and an optimistic approach. It offers powerful, practical and ecology-centred skills and knowledge to apply to a diverse range of practices from design, education and business to the more specific roles of leadership, management and consultancy.

The Ecological Design Thinking programme is trans-disciplinary, insightful and universal in its application; pragmatic and integrative in its operation. It brings together theoretical and practical discourses on ecologically inspired design, with methods of design thinking that are merged with the latest developments in anthropology, psychology and socio- political economics. It aims to create a novel ground for change makers at the forefront of our transition to sustainable societies.

Ecologically inspired design includes the study of ecological worldviews, systems dynamics and applied complexity theory alongside the philosophies and practices of permaculture and biomimetic design.

Design thinking is a well-established participatory technique grounded in the empathic understanding of the feelings, experiences and emotions of others. It engages people in lively conversations, visually stimulated interactions and playful prototyping. It frames problems as opportunities, forms insights and generates creative and collaborative solutions in complex situations.

The Ecological Design thinking programme aims to provide a nourishing environment for participants by incorporating short-courses led by internationally recognised thinkers, place-making projects in collaboration with the Dartington Hall Trust, the home of Schumacher College, and short placements offered by external partner organisations.

This programme is the fourth radical postgraduate programme developed at Schumacher College and contributes to and enhance the College’s ongoing collaborative inquiry into sustainable living – a live and networked inquiry of practice underway around the world by the College’s 20,000 alumni and others.

Who is this course for?

We would be delighted to receive your application whether you are coming directly from an undergraduate degree, taking time-out to study mid-career or wanting an opportunity to develop your understanding of a practice that is of great importance to all of our futures. We encourage applications from community practitioners and activists as well as planners, educators, architects, politicians and policy makers. You do not necessarily need a first degree in design to apply for this course. You only need to be enthusiastic, resilient and committed.

We are looking for enthusiastic agents of change who are ready to co-design new approaches to the way we live that are socially just and ecologically sustainable. We are looking for those prepared to take risks and stand on the cutting-edge of new practices in this area.

Schumacher College welcomes students from all over the world in a diverse mix of cultural experience and age that allows for rich peer- to- peer learning.

You Will Learn

  • The foundation of an ecological worldview through subjects such as ecology, deep ecology, systems thinking, complexity science and Gaia theory.
  • Living systems principles through the philosophy and practice of permaculture design, biophilia and biomimicry.
  • Creative and process-focused problem solving techniques by applying the methods and principles of design thinking
  • A multi-perspective appreciation of ethical issues and their implications for the future consequences of redesigning existing systems and creating new ones.
  • To apply ecological design thinking knowledge and skills to the design of social systems as a part of an emerging new economics
  • Personal and group enquiry practices to raise awareness of the interdependent relationship between the individual, society and nature and between theory and practice
  • Co-creative participatory practices and theoretical principles for new approaches to the ecological design process that include a range of stakeholders in the full lifecycle of projects, and you will apply these both in the studio, on the Dartington Hall Estate and in short placements on live projects

Special Features

An interdisciplinary programme integrating design methods with those of ecology and the social sciences.

An integrative design programme rooted in deep ecological understanding and practice and informed by cutting edge thinking in new economic approaches and social dynamics.

A balanced distribution of time and resources on skill-based and cognitive-based knowledge and between practice and theory.

Access to some of the world’s leading thinkers and practitioners in design, Gaia theory, complexity, climate science, systems thinking, new economics and social change.

Short courses led by internationally recognised thinkers and researchers.

Short practical placements with a range of partner organisations operating at the leading edge of social innovation.

An immersive, integrative and transformational teaching and learning approach rooted in the principles established by Schumacher College and Dartington Hall, and engaged in a living and working community on and around the Dartington Estate in Devon.

Where you will go?

Ecological Design Thinking can be applied to a wide range of contexts, from the personal to the societal. This programme aims to create a new generation of designers, entrepreneurs, policy-makers, educators, researchers, consultants and activists. Graduates will have the skills and knowledge to work for sustainable change in the public and private sectors as well as in civil society, or to set up their own projects or organisations that will contribute to the transformation of society.



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Visit our website for more information on fees, scholarships, postgraduate loans and other funding options to study Stochastic Processes. Read more

Visit our website for more information on fees, scholarships, postgraduate loans and other funding options to study Stochastic Processes: Theory and Application at Swansea University - 'Welsh University of the Year 2017' (Times and Sunday Times Good University Guide 2017).

The MRes in Stochastic Processes: Theory and Application is delivered through optional modules for the taught element followed by a large research project that contributes to the field in an explicit way, rather than merely applying existing knowledge.

The Department of Mathematics hosts one of the strongest research groups in probability theory, especially in stochastic processes, in the UK. The senior members of this group are world leaders in their fields.

The Department’s research groups include:

Algebra and Topology Group

Areas of interest include: Noncommutative geometry, Categorical methods in algebra and topology, Homotopy theory and homological algebra and others.

Analysis and Nonlinear Partial Differential Equations Group

Areas of interest include: Reaction-diffusion and reaction-diffusion-convection equations and systems, Navier–Stokes equations in fluid dynamic, Complexity in the calculus of variations and others.

Stochastic Analysis Group

Areas of interest include: Functional inequalities and applications, Lévy-type processes, Stochastic modelling of fractal, multi-fractal and multi-scale systems, Infinite dimensional stochastic analysis and others.

Mathematical Methods in Biology and Life Sciences Group

Areas of interest include: Mathematical pharmacology; heat and mass transfer models for plant cooling; modelling cellular signal transduction dynamics; mathematical oncology: multi-scale modelling of cancer growth, progression and therapies, and modelling-optimized delivery of multi-modality therapies; multi-scale analysis of individual-based models; spreading speeds and travelling waves in ecology; high performance computing.

Key Features

The Department of Mathematics hosts one of the strongest research groups in probability theory, especially in stochastic processes, in the UK. The senior members of this group are world leaders in their fields.

Course Content

As a student on the MRes Stochastic Processes programme you will study a range of topics for the taught element including:

Stochastic Calculus based on Brownian Motion

Levy processes and more general jump processes

The advanced Black-Scholes theory

Theory and numerics of parabolic differential equations

Java programming

The Stochastic Processes: Theory and Application course consists of a taught part (60 credits) and a research project (120 credits). Students will have a personal supervisor for their research project from the start of their studies.

Research projects could be of a theoretical mathematical nature, or they could be more applied, for example in financial mathematics or actuarial studies. Some of the research projects will be of an interdisciplinary character in collaboration with some of Swansea's world class engineers. For such projects it is likely that EPSRC funding would be available.

Facilities

The Aubrey Truman Reading Room, located in the centre of the Department of Mathematics, houses the departmental library and computers for student use. It is a popular venue for students to work independently on the regular example sheets set by their lecturers, and to discuss Mathematics together.

Our main university library, Information Services and Systems (ISS), contains a notably extensive collection of Mathematics books.

Careers

The ability to think rationally and to process data clearly and accurately are highly valued by employers. Mathematics graduates earn on average 50% more than most other graduates. The most popular areas are the actuarial profession, the financial sector, IT, computer programming and systems administration, and opportunities within business and industry where employers need mathematicians for research and development, statistical analysis, marketing and sales.

Some of our students have been employed by AXA, BA, Deutsche Bank, Shell Research, Health Authorities and Local Government. Teaching is another area where maths graduates will find plenty of career opportunities.

Research

The results of the Research Excellence Framework (REF) 2014 show that our research environment (how the Department supports research staff and students) and the impact of our research (its value to society) were both judged to be 100% world leading or internationally excellent.

All academic staff in Mathematics are active researchers and the department has a thriving research culture.



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A University of Hertfordshire research degree is an internationally recognised degree signifying high levels of achievement in research. Read more
A University of Hertfordshire research degree is an internationally recognised degree signifying high levels of achievement in research. It develops extensive subject expertise and independent research skills which are honed over an extended period, depending on the level of the award. You would undertake a substantial, original research project for the duration of the degree, under the supervision and guidance of two or more academic members of staff. Your supervisory team provides guidance both in the selection of a research topic and in the conduct of the research. You are also supported by attendance at postgraduate seminar series to develop subject specific knowledge and research skills relevant to your field of research. The degree is assessed solely on the basis of the final research output, in the form of a substantial written thesis which must be "defended" in a viva. During the course of the degree, you would be given opportunities to present your work at major conferences and in refereed research publications.

Why choose this course?

-An internationally recognised research qualification
-Developing advanced subject expertise at postgraduate level
-Develop research skills through practice and extensive research experience
-Employers are looking for high calibre graduates with advanced skills who can demonstrate independence through research

Careers

Graduates with this degree will be able to demonstrate to employers a highly-valued ability to work independently on a substantial and challenging original project and to maintain that focus over an extended period, and will have developed much sought after, highly refined research skills.

Teaching methods

Research degrees are not taught programmes, however, programmes of supporting studies are a key element.

The Business School has gained an international reputation for developing innovative areas of research in organisational studies and this important work continues, with members of staff active internationally, as theorists, practitioners and consultants. Research students are an important part of the School's research effort, with half of our postgraduate students working towards professional doctorates on our groundbreaking Doctor of Management (rooted in complexity theory) and Doctor of Business Administration programmes. The focus of this work is research into professional practice, while those taking the traditional PhD option have the focus of developing innovative strands of theory for which the School is known (institutional economics, employment studies, and complexity and management, for example) and for breaking new ground in emerging areas of critical theory in marketing, economics and finance.

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If you are looking to pivot your career into a management-related field, the MSc in International Management degree program is designed to help you develop your knowledge and skills in management. Read more

If you are looking to pivot your career into a management-related field, the MSc in International Management degree program is designed to help you develop your knowledge and skills in management. The MSc in International Management, Sustainability Systems Track is designed for students interested in a career in sustainability.

This focus area offers specialized coursework on sustainable development theory and practices informed by critical approaches, complexity theory and change management. Moreover, you will focus on research and literacy skills to better understand and cooperate with different functional areas essential for meaningful sustainable management practices, such as engineering and science and information technology.

Program Requirements

Complement core requirements in leadership, strategy, finance, ethics and operations with the opportunity to delve further into potential areas of interest such as managing global communications, economics, negotiation, and international relations.

Students will learn the skills and tools of project management by using both practical “hands-on” approaches as well as by applying theory to practice. This course guides students through many of the fundamental operations and project management tools and behavioral skills required in both private sector organizations as well as with NGOs and governmental organizations. 

An international approach to learning

The MSc in International Management encourages students to take their education beyond the classroom. Your learning experience is deepened by the opportunity of immersive practica and study trips where you will come into contact with experts in the field. Learn about the Sustainable Development Practicum in India.

Changing the World

Graduates from the MSc in International Management go on to meaningful careers in diverse fields across the world. They represent contemporary, forward-thinking managers, engaged leaders for sustainable development, and thoughtful professionals making a difference on the international stage.

Employability

As a student you will benefit from hands-on fieldwork and research development as you gain professional skills throughout the duration of your studies. This, together with the rigorous academic training, can lead to jobs in companies across the world. You will be well-prepared to pursue a career in a range of sectors and organization types, including corporations, non-governmental organizations, start-ups, nonprofits and family businesses. View career outcomes for graduates from the MSc in International Management.



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Computing and communications technologies are having a truly disruptive effect on societies and business worldwide. Mobile payments, wireless communications and the ‘Internet of Things’ are transforming the way we approach key challenges in development, security, healthcare and the environment. Read more

Computing and communications technologies are having a truly disruptive effect on societies and business worldwide. Mobile payments, wireless communications and the ‘Internet of Things’ are transforming the way we approach key challenges in development, security, healthcare and the environment.

Taught jointly by the School of Computing and the School of Electronic and Electrical Engineering, this course will give you a grasp of all layers needed for mobile communication and computation, from the physical network layer through to the applications that run on mobile devices.

You’ll gain a full understanding of the web and cloud computing infrastructure, as core modules give you a foundation in key topics like systems programming and data communications. A range of optional modules will then allow you to focus on topics that suit your interests and career plans, from cloud computing to embedded systems design and high speed web architecture.

Specialist facilities

You’ll benefit from world-class facilities to support your learning. State-of-the-art visualisation labs including a powerwall, a benchtop display with tracking system, WorldViz PPT optical tracking system and Intersense InertiaCube orientation tracker are all among the specialist facilities we have within the School of Computing.

We also have Ascension Flock of Birds tracking systems, three DOF and 6DOF Phantom force feedback devices, Twin Immersion Corp CyberGloves, a cloud computing testbed, rendering cluster and labs containing both Microsoft and Linux platforms among others. It’s an exciting environment in which to gain a range of skills and experience cutting-edge technology.

Course content

You’ll take two core modules in Semester 1 that introduce you to fundamental topics like systems programming and network security. With this foundation, you’ll be able to gain high-level specialist knowledge through your choice of optional modules taught by the School of Computing and the School of Electronic and Electrical Engineering.

The optional modules you choose will enable you to direct your studies towards topics that suit your personal interests and career ambitions such as mobile app development, digital media engineering, big data, cloud computing and embedded systems design, among others.

Over the summer months you’ll also work on your research project. This gives you the chance to work as an integral part of one of our active research groups, focusing on a specialist topic in computer science and selecting the appropriate research methods.

Course structure

Compulsory modules

  • MSc Project 60 credits
  • Data Communications and Network Security 15 credits

Optional modules

  • Distributed Systems 10 credits
  • Mobile Application Development 10 credits
  • Combinatorial Optimisation 10 credits
  • Secure Computing 10 credits
  • Graph Algorithms and Complexity Theory 10 credits
  • Functional Programming 10 credits
  • Big Data Systems 15 credits
  • Mobile Applications Development 15 credits
  • Algorithms 15 credits
  • Parallel and Concurrent Programming 15 credits
  • Cloud Computing 15 credits
  • Graph Theory: Structure and Algorithms 15 credits
  • Communication Network Design 15 credits
  • Optical Communications Networks 15 credits
  • High Speed Internet Architecture 15 credits
  • Digital Media Engineering 15 credits

For more information on typical modules, read Mobile Computing and Communication Networks MSc in the course catalogue

Learning and teaching

Our groundbreaking research feeds directly into teaching, and you’ll have regular contact with staff who are at the forefront of their disciplines. You’ll have regular contact with them through lectures, seminars, tutorials, small group work and project meetings.

Independent study is also important to the programme, as you develop your problem-solving and research skills as well as your subject knowledge.

Assessment

You’ll be assessed using a range of techniques including case studies, technical reports, presentations, in-class tests, assignments and exams. Optional modules may also use alternative assessment methods.

Projects

The professional project is one of the most satisfying elements of this course. It allows you to apply what you’ve learned to a piece of research focusing on a real-world problem, and it can be used to explore and develop your specific interests.Most projects are experimentally based and linked with companies within the oil and gas industry to ensure the topic of research is relevant to the field whilst also addressing a real-world problem.

A proportion of projects are formally linked to industry, and can include spending time at the collaborator’s site over the summer.

Career opportunities

Career opportunities are extremely broad, covering jobs in the design of embedded software running on multi-core devices through to jobs involving the design and implementation of new mobile-applications centric systems for business. In the application of mobile computing skills, job opportunities span every area, from the automotive sector through to retail and banking.

You could launch a career in fields such as mobile app development, mobile systems architecture, project management, network consultancy. You could also work as an engineer in embedded mobile communications, network security or research and development among many others – and you’ll even be well-prepared for PhD study.

Careers support

You’ll have access to the wide range of engineering and computing careers resources held by our Employability team in our dedicated Employability Suite. You’ll have the chance to attend industry presentations book appointments with qualified careers consultants and take part in employability workshops. Our annual Engineering and Computing Careers Fairs provide further opportunities to explore your career options with some of the UK’s leading employers.

The University's Careers Centre also provide a range of help and advice to help you plan your career and make well-informed decisions along the way, even after you graduate. Find out more at the Careers website.



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In the last decade, urban informatics has gained recognition as a new approach to the study of cities and urban life. Read more
In the last decade, urban informatics has gained recognition as a new approach to the study of cities and urban life. This is partly due to the harnessing of big and open data relating to urban infrastructure, socio-economic profiles and activities that take place in cities; and in part a result of developments in urban science, computational social science and complexity theory.

This course will enable you to understand and promote the theory and science of smart cities and to analyse city-scale data. You’ll also gain the skills to transform this data into knowledge, capitalising on emerging developments in big data and interdisciplinary methods to tackle the world’s urban challenges. Unlike most existing courses that have a disciplinary focus, this course offers a uniquely interdisciplinary approach to urban studies that combines training in theoretical approaches with knowledge of practice-based methodological skills. This means you’ll develop the skills to understand, support, and manage urban systems, and harness the opportunities that sensor, mobile and internet technologies offer within smart cities.

This course, a collaboration between the Centre for Interdisciplinary methodologies (CIM) and the Warwick Institute for the Science of Cities (WISC), also provides a pathway to the PhD programme in Urban Science at WISC, if you intend to undertake further postgraduate research at doctoral level. WISC has ties with CUSP (Center for the Urban Science and Progress) at New York University and the recently established CUSP London.

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This interdisciplinary Masters degree provides you with a broad background in some mainstream and modern aspects of mathematics and computer science. Read more

This interdisciplinary Masters degree provides you with a broad background in some mainstream and modern aspects of mathematics and computer science. You’ll be introduced to sophisticated techniques at the forefront of both disciplines.

The programme combines teaching and research from the School of Mathematics and the School of Computing. Based on the Schools’ complementary research strengths the programme follows two main strands:

  • Algorithms and complexity theory
  • Numerical methods and parallel computing

You’ll have the choice to specialise in one of these strands, gaining specialist knowledge and skills that will prepare you for a wide range of careers. You’ll also develop your research skills when you complete your dissertation.

If you do not meet the full academic entry requirements then you may wish to consider the Graduate Diploma in Mathematics. This course is aimed at students who would like to study for a mathematics related MSc course but do not currently meet the entry requirements. Upon completion of the Graduate Diploma, students who meet the required performance level will be eligible for entry onto a number of related MSc courses, in the following academic year.




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Visit our website for more information on fees, scholarships, postgraduate loans and other funding options to study Logic and Computation at Swansea University - 'Welsh University of the Year 2017' (Times and Sunday Times Good University Guide 2017). Read more

Visit our website for more information on fees, scholarships, postgraduate loans and other funding options to study Logic and Computation at Swansea University - 'Welsh University of the Year 2017' (Times and Sunday Times Good University Guide 2017).

Logic is the basis for reasoning about what we can express and compute, having a profound influence in philosophy, linguistics, mathematics, computer science, and electronics. Since the invention of computers, logic has always been the primary source of ideas and techniques for the theoretical and practical development of programming.

Today, as the scope of programming technologies expands, and the horizon of applications widens, research in logic and its applications in software and hardware development is booming. In industry, formal methods are an integral part of system development, e.g., in automotive electronics, avionics, and chip design.

The MRes Logic and Computation course will teach you about advanced techniques in logic and their applications in research problems in computer science. You will receive an elite education of direct relevance to research and development problems in contemporary information and communication technology (ICT).

Key Features

Teaching score of Excellent.

Highest percentage of top-class researchers of any Computer Science department in Wales – and only 12 in the UK have higher.

70% of the research activity assessed as world-leading or internationally excellent.

Our industrial programme IT Wales which can arrange vacation employment placements.

A state-of-the-art education.

Friendly staff, committed to the highest standards.

A university with high success rate, low drop-out rate, and excellent student support.

Swansea's Library spends more per student on books and other resources than any other university in Wales, and most in the UK.

Course Content

Research Component

The main part of the MRes in Logic and Computation is a substantial and challenging project involving cutting edge research. The completion of such a project will give you the ability and confidence to pursue a successful career in industrial research and development, or to proceed to academic PhD studies.

Taught Component

In seminars and reading courses you will enter the world of research by studying general topics in theoretical computer science as well as special topics for your research project. Guided by your supervisor you will conquer new technical subjects and learn to critically assess current research.

Lecturers and students will meet regularly to discuss recent developments and give informal talks. Topics of the seminars are chosen in accordance with the research projects, and will cover material such as:

Theorem proving techniques

Formal program verification

Algebraic and coalgebraic specification

Modelling of distributed systems

Advanced methods in complexity theory

Additionally you will choose selected taught modules covering important topics such as Critical Systems, IT Security, Concepts of Programming

Languages, Artificial Intelligence Applications, Design Patterns and Generic Programming.

Facilities

The Department is well equipped for teaching, and is continually upgrading its laboratories to ensure equipment is up-to-date – equipment is never more than three years old, and rarely more than two. Currently, students use three fully networked laboratories: one, running Windows; another running Linux; and a project laboratory, containing specialised equipment. These laboratories support a wide range of software, including the programming languages Java, C# and the .net framework, C, C++, Haskell and Prolog among many; integrated programme development environments such as Visual Studio and Netbeans; the widely-used Microsoft Office package; web access tools; and many special purpose software tools including graphical rendering and image manipulation tools; expert system production tools; concurrent system modelling tools; World Wide Web authoring tools; and databases.

Careers

All Computer Science courses will provide you the transferable skills and knowledge to help you take advantage of the excellent employment and career development prospects in an ever growing and changing computing and ICT industry.

90% of Swansea’s Computer Science graduates are in full-time employment or further study within six months of graduating (HESA June 2011).

Some example job titles from the HESA survey 2011:

Software Engineer: Motorola Solutions

Change Coordinator: Logica

Software Developer/Engineer: NS Technology

Workflow Developer: Irwin Mitchell

IT Developer: Crimsan Consultants

Consultant: Crimsan Consultants

Programmer: Evil Twin Artworks

Web Developer & Web Support: VSI Thinking

Software Developer: Wireless Innovations

Associate Business Application Analyst: CDC Software

Software Developer: OpenBet Technologies

Technical Support Consultant: Alterian

Programming: Rock It

Software Developer: BMJ Group

Research

The results of the Research Excellence Framework (REF) 2014 show that Swansea Computer Science ranked 11th in the UK for percentage of world-leading research, and 1st in Wales for research excellence. 40% of our submitted research assessed as world-leading quality (4*).



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'Education is the most powerful weapon which you can use to change the world.' - Nelson Mandela (1918 – 2013). Read more

'Education is the most powerful weapon which you can use to change the world.' - Nelson Mandela (1918 – 2013)

The University of Greenwich has long been a centre for excellence in teacher training and education, and we have a strong commitment to meeting the needs of those who want to study at the highest academic level. 

Many of our applicants who work in vocational areas choose the PhD in Education and Training, whereas applicants who work in schools tend to choose the PhD in Education, but the choice is open and the only difference is in the final title. Doctoral applicants choose which PhD to apply for depending on what they would like the final title of their doctorate to be. 

Our PhD in Education and our PhD in Education and Training are intended for qualified and experienced lecturers, teachers, trainers, other professionals working in education or those who want to explore education as an academic subject. Both PhD programmes are flexible but rigorous, and are designed to support you through the challenges of doctoral study and research. 

Academic support

We currently have 20 students on our PhDs in Education programmes at the University of Greenwich. They are each supported by a supervisory team of three lecturers, with a strong background in practical and academic experience, both in educational research and in doctoral supervision.

Our programme has a dedicated programme leader, programme administrator, and a wide range of supervisors. Students' progress will also be monitored and supported by committees within our department and the university. Your fellow students will also provide a rich source of peer support, alongside the students from our Health and Social Care PhDs and Psychology PhDs.

Degree structure

If you apply successfully for our MPhil/PhD programmes you will initially be enrolled on an MPhil, and then upgraded to PhD after you have completed a substantial piece of doctoral level work.

You meet regularly with your supervisory team throughout the process, and they will support you both in the practicalities of producing a dissertation and defending it at viva. The team will also help you develop advanced skills in contemporary theoretical knowledge, critical analysis, doctoral research and evidence-based inquiry; ultimately, this will allow you to reach doctoral standard, that is, it will allow you to make a contribution to knowledge informed by original research and scholarship.

Recent research projects

Recent research projects include:

  • Leadership and management in education
  • Leadership in higher education
  • Professionalism and professional practice
  • Comparative studies
  • Work-based learning
  • Lifelong learning
  • E-Learning, social networking
  • Pedagogy, learning theories and learning and teaching
  • Widening participation, access, achievement and the student experience
  • Literacy and pedagogy
  • Creativity and complexity theory
  • Alternative education
  • Teachers as researchers
  • Experiences of LGBT+ teachers and students
  • Childhood studies and history of education.

There are also a range of other individually negotiated subject areas.

Application

As part of your application, please identify an area of research that you wish to pursue and submit a research proposal of approximately 1,500 words along with your application form. Please also submit a CV along with the form.

Location

Located at the university's prestigious Greenwich campus, the Education and Training programme has world renowned attractions right on its doorstep from the Cutty Sark to Greenwich Park.

With the opening of the highly anticipated Dreadnought Building on the horizon, not only will you study in the heart of the Greenwich campus, but you will also have access to state-of-the-art learning, teaching and social spaces.

Assessment

Students are assessed through their research thesis.

Careers

Graduates from this programme have gone on to a range of middle and senior academic and management roles in schools, colleges, universities and other educational institutions.



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'Education is the most powerful weapon which you can use to change the world.' - Nelson Mandela (1918 – 2013). Read more

'Education is the most powerful weapon which you can use to change the world.' - Nelson Mandela (1918 – 2013)

The University of Greenwich has long been a centre for excellence in teacher training and education, and we have a strong commitment to meeting the needs of those who want to study at the highest academic level. 

Our PhD in Education and our PhD in Education and Training are intended for qualified and experienced lecturers, teachers, trainers, other professionals working in education or those who want to explore education as an academic subject. Both PhD programmes are flexible but rigorous, and are designed to support you through the challenges of doctoral study and research. 

PhD Education and Training

Doctoral applicants choose which PhD to apply for depending on what they would like the final title of their doctorate to be. Applicants who work in schools tend to choose the PhD in Education, whereas many of our applicants who work in vocational areas choose the PhD in Education and Training. The choice is open and the only difference is in the final title.

Academic support

We currently have 20 students on our PhDs in Education programmes at the University of Greenwich. They are each supported by a supervisory team of three lecturers, with a strong background in practical and academic experience, both in educational research and in doctoral supervision.

Our programme has a dedicated programme leader, programme administrator, and a wide range of supervisors. Students' progress is also monitored and supported by committees within our department and the university. Your fellow students will also provide a rich source of peer support, alongside the students from our Health and Social Care PhDs and Psychology PhDs.

Programme structure

If you apply successfully for our MPhil/PhD programmes you will initially be enrolled on an MPhil, and then upgraded to PhD after you have completed a substantial piece of doctoral level work. You meet regularly with your supervisory team throughout the process, and they will support you both in the practicalities of producing a dissertation and defending it at viva. The team will also help you develop advanced skills in contemporary theoretical knowledge, critical analysis, doctoral research and evidence-based inquiry; ultimately, this will allow you to reach doctoral standard, that is, it will allow you to make a contribution to knowledge informed by original research and scholarship.

Research projects

Recent research projects include:

  • Leadership and management in education
  • Leadership in higher education
  • Professionalism and professional practice
  • Comparative studies
  • Work-based learning
  • Lifelong learning
  • E-Learning, social networking
  • Pedagogy, learning theories and learning and teaching
  • Widening participation, access, achievement and the student experience
  • Literacy and pedagogy
  • Creativity and complexity theory
  • Alternative education
  • Teachers as researchers
  • Experiences of LGBT+ teachers and students
  • Childhood studies and history of education.

There are also a range of other individually negotiated subject areas.

Application process

As part of your application, please identify an area of research that you wish to pursue and submit a research proposal of approximately 1,500 words along with your application form. Please also submit a CV along with the form.

Assessment

Students are assessed through their research thesis.

Careers

Graduates from this programme have gone on to a range of middle and senior academic and management roles in schools, colleges, universities and other educational institutions.



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Critical and reflective examination of systemic theory is at the heart of this course, and you will also focus on the application of a systemic framework to practice and research. Read more
Critical and reflective examination of systemic theory is at the heart of this course, and you will also focus on the application of a systemic framework to practice and research.

You study different approaches to therapeutic work across a range of subjects and client groups, including adult mental health, individuals, couples, children and families.

You will also sharpen your own critical responses to discourses relating to power, difference and diversity, and develop the skills needed to address issues of discrimination.

This course is delivered in partnership with the Institute of Family Therapy in London.

Intermediate qualifications available:

• Postgraduate diploma – 120 credits at Masters level

Choose Family and Systemic Psychotherapy MSc and:

• Study through a combination of lectures, group exercises and activities, and in addition to focusing on research and theory, benefit from the programme’s clinical practice component
• Explore a range of qualitative methods for conducting research, before designing and conducting a piece of work in an area of your own interest and practice that you will write up for your final dissertation
• Develop systemic practice skills through weekly attendance of a supervision group where you will work directly with clients assessing risk, safety and vulnerability, the therapeutic relationship, interventions, and theories of change
• Gain an opportunity to develop your professional interests and contribute to the development of knowledge within the systemic field
• Benefit from power and diversity group plenaries which will support you in the development of a deeper understanding of the issues surrounding power and discrimination.

Visit the website: https://www.beds.ac.uk/howtoapply/courses/postgraduate/next-year/family-and-systemic-psychotherapy#about

Course description

The Research component of the course encourages independent learning, providing you with an opportunity to develop your own professional practice interests in initiating and taking responsibility for a research project and dissertation, contributing to the development of knowledge within the systemic field. The course aims to help you develop your work with families and couples, to increase and consolidate your theoretical and clinical skills and your understanding of the use of the self in practice. The inclusion of a wide range of approaches is an important characteristic. It is part of the course philosophy to encourage you in the development of a critical approach to theory and practice examining the inequalities and differences for example of race, class, gender, and to encourage an ethical and anti-discriminatory approach to clients. Use of self and self-reflexive practice is a core aspect of training,

A particular feature of the course are the Power and Diversity group plenaries, which support you in developing your understanding of issues of power and discrimination. These plenaries supplement and support the acquisition of these skills in your supervision group to apply this understanding in your therapeutic practice.

Subject to the agreement of your agency, you will be expected to bring your own case material for discussion and video or audio recordings of your work. Where appropriate signed, informed consent will be obtained from families for this purpose. For review of work during the course through DVD consultation, the consent forms for therapy include consent to record and review for the purposes of training. The academic and experiential learning provided encourages you to develop a broad critique and to apply a range of interventions in family and other related contexts in which you have a professional role. .

The course is the final stage of training leading to qualification as a family / systemic psychotherapist and eligibility to register with the UKCP.

The part time structure of the course enables you to continue in your employment while you study. The combination of evening and day time study and its central location make it accessible geographically to students from different parts of the UK. Tutors and supervisors are all registered systemic psychotherapists and systemic supervisors, many of whom have a PhD, combining academic rigour which is also grounded in clinical practice, contributing to a rich learning experience.

Modules

• Advanced Theory In Context (ASS044-6) Compulsory
• Clinical Practice: The Developing Therapist (ASS042-6) Compulsory
• Clinical Practice: The Maturing Therapist (ASS045-6) Compulsory
• Research Dissertation (ASS043-6) Compulsory
• Research Methods (ASS040-6) Compulsory
• Theory In Context (ASS041-6) Compulsory

Assessment

The spirit of the course is developmental learning and the promotion of connections between different aspects of the course and modes of learning. You will build on the skills and learning achieved in your Foundation and Intermediate level courses, taking them to a greater level of complexity.

The course employs a range of assessment strategies which respond to the learning outcomes of the course. The strategies include written assignments that give you the opportunity to show your systemic writing skills and critical use of the literature, particularly in the Research and Theory Units. In extending this assessment strategy, in different units on the course you will produce written analyses of your systemic work with clients showing the development of your application of theory to practice in both your course and agency-based places of work, as well as in vivo presentations. The strength of this strategy is that it draws on a range of strengths, and applies equally well to organisational dilemmas as well as case consultations and gives you the chance to extend your systemic thinking beyond the frame of direct work.

Career/Further study opportunities

This course qualifies you to practice as a family and systemic psychotherapist, and to apply for registration with the UKCP. Depending on your background and first professional qualification you may also have the possibility to apply for designated family therapist posts within the NHS. Following the Munro Report published in 2011 opportunities are beginning to open up for family therapy posts within the Social Care context, and a growing number of independent and third sector agencies are interested in having a qualified family / systemic psychotherapist on their staff, or providing consultation to their work. Other students go on to develop independent practice, often alongside posts within the statutory sector

Qualified practitioners with post-qualifying experience are eligible to apply for further study to become qualified systemic supervisors.

They may also apply for further study at Doctorate level, contributing to the development of knowledge within the field.

Students also use the increased confidence in their written and academic abilities to contribute written articles to journals within the field, for example the Journal of Family Therapy and to further develop their research interests.

Funding

For information on available funding, please follow the link: https://www.beds.ac.uk/howtoapply/money/scholarships/pg

How to apply

For information on how to apply, please follow the link: https://www.beds.ac.uk/howtoapply/course/applicationform

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The Laboratory for Foundations of Computer Science (LFCS) continues to lead the way in the development of mathematical models, theories and tools that probe the possibilities of computation and communication. Read more

The Laboratory for Foundations of Computer Science (LFCS) continues to lead the way in the development of mathematical models, theories and tools that probe the possibilities of computation and communication.

Our students benefit from being part of one of the largest and strongest groups of theoretical computer scientists in the world.

Our research is aimed at establishing deep understanding of computation in its many forms. Using advanced mathematical principles, we create theories and software tools allowing fundamental capabilities of computation to be explored, as well as designing languages that can be used to construct safe and effective programs.

Areas of interest within LFCS include: algorithms and complexity, cryptography, databases, logic, programming languages and semantics, performance modeling, quantum computing, security and privacy, software modeling and testing, and verification.

Training and support

As a research student at LFCS, you will have access to our highly respected academic staff community, which includes Fellows of the Royal Society and a winner of a Blaise Pascal medal. Our students regularly receive ‘best paper’ awards at conferences.

You will carry out your research within a research group under the guidance of a supervisor. You will be expected to attend seminars and meetings of relevant research groups and may also attend lectures that are relevant to your research topic. Periodic reviews of your progress will be conducted to assist with research planning.

A programme of transferable skills courses facilitates broader professional development in a wide range of topics, from writing and presentation skills to entrepreneurship and career strategies.

The School of Informatics holds a Silver Athena SWAN award, in recognition of our commitment to advance the representation of women in science, mathematics, engineering and technology. The School is deploying a range of strategies to help female staff and students of all stages in their careers and we seek regular feedback from our research community on our performance.

Facilities

The award-winning Informatics Forum is an international research facility for computing and related areas. It houses more than 400 research staff and students, providing office, meeting and social spaces.

It also contains two robotics labs, an instrumented multimedia room, eye-tracking and motion capture systems, and a full recording studio amongst other research facilities. Its spectacular atrium plays host to many events, from industry showcases and student hackathons to major research conferences.

Nearby teaching facilities include computer and teaching labs with more than 250 machines, 24-hour access to IT facilities for students, and comprehensive support provided by dedicated computing staff.

Among our entrepreneurial initiatives is Informatics Ventures, set up to support globally ambitious software companies in Scotland and nurture a technology cluster to rival Boston, Pittsburgh, Kyoto and Silicon Valley.

Career opportunities

Our graduates are in high demand for postdoctoral academic roles. In addition, the skills you will graduate with can be applied to roles in industry, particularly finance, software development and consultancy.



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This one year taught postgraduate programme leads to the degree of MSc in Pure Mathematics and Mathematical Logic. The programme is suitable not only for students who wish to improve their background knowledge prior to applying to undertake a PhD by research, but also for students who wish to enhance their knowledge of postgraduate-level abstract mathematics. Read more

This one year taught postgraduate programme leads to the degree of MSc in Pure Mathematics and Mathematical Logic. The programme is suitable not only for students who wish to improve their background knowledge prior to applying to undertake a PhD by research, but also for students who wish to enhance their knowledge of postgraduate-level abstract mathematics.

The MSc comprises of the taught component, running from the start of the academic year in September until the end of the second semester in late Spring, followed by the dissertation component running from May until September.

During the taught component of the course, you will normally take five units together with a written project.  You may choose exclusively pure topics, or mainly logic modules with a few pure modules. Alternatively, students can choose a mixture of the two. The project is normally an expository account of a piece of mathematics and you will write this under the guidance of a supervisor. The taught component comprises of conventional lectures supported by examples classes, project work and independent learning via reading material.

After successfully completing the taught component, you will prepare a dissertation on an advanced topic in pure mathematics or mathematical logic, normally of current or recent research interest, chosen in consultation with your supervisor.

You can also take the programme part-time, over a period of two years. There is some flexibility in the precise arrangements for this programme, but you would normally attend two lecture courses each semester for three semesters before commencing work on your dissertation.

Aims

The aims of the programme are to provide training in a range of topics related to pure mathematics and mathematical logic, to encourage a sophisticated and critical approach to mathematics, and to prepare students who have the ability and desire to follow careers as professional mathematicians and logicians in industry or research.

Coursework and assessment

The taught component is assessed by coursework, project work and by written examination. The written exams take place at the end of January (for the first semester course units) and the end of May (for the second semester course units). The dissertation component is assessed by the quality and competence of the written dissertation.

The Postgraduate Diploma and Postgraduate Certificate exist as exit awards for students who do not pass at MSc level.

Course unit details

The taught courses cover material related to the research interests of the academic staff. Topics covered in lectured course units normally include: set theory, group theory, dynamical systems and ergodic theory, measure theory, functional analysis, algebraic topology, Godel's theorems, hyperbolic geometry, Lie algebras, analytic number theory, Galois theory, predicate logic, computation and complexity, and other topics relevant to current mathematics.



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