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Masters Degrees (Discrete)

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This Masters degree provides you with knowledge of advanced finance concepts, whilst developing your quantitative, mathematical and research skills. Read more

This Masters degree provides you with knowledge of advanced finance concepts, whilst developing your quantitative, mathematical and research skills.

Taught by experienced academics based in both Leeds University Business School and the School of Mathematics, you’ll cover key topics including financial derivative pricing, discrete and continuous time models, risk management and portfolio optimisation, as well as statistical methods for finance.

You will be equipped with a rare combination of mathematical skills and the latest business finance knowledge, which is highly sought after in the financial sector by banks, investment and consultancy companies. It’s also excellent preparation if you’re interested in pursuing further academic research.

This course is ideal if you’ve previously studied finance, economics, mathematics, physics or computing, and are interested in applying your skills to financial markets.

Academic excellence

As a student, you will be able to access the knowledge of our advanced specialist research units, which also have strong links with leading institutions in the US, Europe and Asia. These include the Centre for Advanced Study in Finance (CASIF), the Institute of Banking and Investment (IBI) and the Credit Management Research Centre (CMRC).

This research makes an important contribution to your learning on the MSc Financial Mathematics; you will benefit from a curriculum that is informed by the latest knowledge and critical thinking.

You will also benefit from our strong relationships with the finance, credit and accounting professions. This provides a connection to the latest practitioner and policy developments, giving you a masters degree that is relevant to the contemporary environment.

Course content

In your first semester you’ll develop a broad understanding of corporate finance and how financial theory relates to practice in business and financial markets. This will put your mathematical studies into context while you develop your skills in applied statistics and probability, optimisation methods and discrete time finance.

You’ll build on these skills in topics such as continuous time finance, risk management and computational methods. You’ll also gain specialist knowledge in topics that suit your career ambitions such as risk and insurance, actuarial science and behavioural finance.

The programme will improve your research skills and allow you to study different research methodologies, including those employed by our own leading academics. This will prepare you for your dissertation – an independent research project on a topic of your choice that you’ll submit by the end of the year.

Course structure

Compulsory modules

  • Corporate Finance 15 credits
  • Dissertation in Financial Mathematics 30 credits
  • Applied Statistics and Probability 15 credits
  • Discrete Time Finance 15 credits
  • Continuous Time Finance 15 credits
  • Risk Management 15 credits
  • Computations in Finance 15 credits
  • Optimisation Methods for Finance 15 credits

Optional modules

You'll also take two optional modules.

  • Security Investment Analysis 15 credits
  • Portfolio Risk Management 15 credits
  • Behavioural Finance 15 credits
  • Financial Derivatives 15 credits
  • International Investment 15 credits
  • Models in Actuarial Science 15 credits

For more information on typical modules, read Financial Mathematics MSc in the course catalogue

Learning and teaching

We use a variety of teaching and learning methods to help you make the most of your studies. These will include lectures, seminars, workshops, online learning and tutorials. Independent study is also vital for this course allowing you to prepare for taught classes and sharpen your own research and critical skills.

In addition to the assessed modules and research dissertation, you benefit from professional training activities and employability workshops. Thanks to our links with major companies across the business world, you can also gain a practical understanding of key issues.

Recent activities have included CV building and interview sessions, professional risk management workshops and commercial awareness events. For example, students have developed their knowledge of financial markets through a one-week trading simulation. Read more about professional development activities for postgraduate finance students.

Assessment

Assessment methods emphasise not just knowledge, but essential skills development too. They include formal exams, group projects, reports, computer simulation exercises, essays and written assignments, group and individual presentations.

This diversity enables you to develop a broad range of skills as preparation for professional life.

Career opportunities

You have various opportunities open to you as a Financial Mathematics graduate, including: quantitative analysis, risk management, investment banking, financial consultancy, insurance, accounting and academia.

Previous graduates have gone on to secure employment with Allianz (London), AstraZeneca, Barclays, Cathay Life Insurance, CITIC Group, Commerzbank, Deloitte, First Direct, Gaz de France, HSBC, KPMG, Moody’s, PricewaterhouseCoopers, Royal Bank of Scotland, RSA and UK Government Actuary’s Department.

Careers support

We help you to achieve your career ambitions by providing professional development support and training as part of the course. You benefit from the support of a professional development tutor, who will work with you to develop the important professional skills that employers value.

Read more about our careers and professional development support.

The University of Leeds Careers Centre also provides 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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Demand is growing worldwide for experts who have the technical skills to measure and manage financial risk. This masters degree prepares you to meet these requirements, equipping you to respond to emerging developments in the global capital and money markets. Read more

Demand is growing worldwide for experts who have the technical skills to measure and manage financial risk. This masters degree prepares you to meet these requirements, equipping you to respond to emerging developments in the global capital and money markets.

You’ll gain comprehensive knowledge of essential topics including the dynamics of financial markets, the causes and effects of financial risk and professional practices for measuring and managing portfolio risk. You can also choose optional modules allowing you to specialise in areas such as accounting, international banking and security investment analysis.

Learning from highly qualified teaching staff involved in world-class research in financial risk management, you’ll test your knowledge in genuine business scenarios during practical case study exercises and simulations. Thanks to our excellent links with industry and commerce, you’ll gain an understanding of the latest challenges in financial markets worldwide.

Academic excellence

As a student you will be able to access the knowledge of our advanced specialist research units, which also have strong links with leading institutions in the US, Europe and Asia. These include the Centre for Advanced Study in Finance (CASIF), the Institute of Banking and Investment (IBI) and the Credit Management Research Centre (CMRC). This research makes an important contribution to your learning on the MSc Financial Risk Management; you will benefit from a curriculum that is informed by the latest knowledge and critical thinking.

You will also benefit from our strong relationships with the finance, credit and accounting professions. This provides a connection to the latest practitioner and policy developments, giving you a masters degree that is relevant to the contemporary environment.

Course content

The course builds your understanding of essential topics such as corporate finance and applies financial theory to practical problems. You’ll study financial modelling, risk and insurance, managing portfolio risk and derivatives. You’ll also undertake professional skills training throughout the year to help you develop the critical skills to apply your knowledge into the workplace.

Beyond these core areas of study, you’ll be able to specialise in areas that suit your career plans with your choice of optional modules. You’ll take at least one of Behavioural Finance or Discrete Time Finance, and can choose from topics such as forensic accounting and finance, international banking and finance or information and organisation design.

You’ll also develop your knowledge of research methods in finance and by the end of the year, you’ll be prepared to design and carry out your own research dissertation on a related topic of your choice, developing your ability to tackle the most pressing challenges currently facing the industry.

Course structure

Compulsory modules

You’ll study eight compulsory modules including your dissertation.

  • Portfolio Risk Management 15 credits
  • Corporate Finance 15 credits
  • Applied Finance 15 credits
  • Financial Modelling and Analysis 15 credits
  • Financial Derivatives 15 credits
  • Accounting and Finance Dissertation 45 credits
  • Critical Skills for the Finance Professional 15 credits

Optional modules

You’ll also take two optional modules. One of these must be either Behavioural Finance or Discrete Time Finance.

  • Security Investment Analysis 15 credits
  • Information and Organisation Design 15 credits
  • Forensic Accounting and Finance 15 credits
  • Behavioural Finance 15 credits
  • International Banking and Finance 15 credits
  • Financial Reporting and Analysis 15 credits
  • Discrete Time Finance 15 credits

For more information on typical modules, read Financial Risk Management MSc in the course catalogue

Learning and teaching

We use a variety of teaching and learning methods to help you make the most of your studies. These will include lectures, seminars, workshops, online learning and tutorials. Independent study is also vital for this course allowing you to prepare for taught classes and sharpen your own research and critical skills.

In addition to the assessed modules and research dissertation, you benefit from professional training activities and employability workshops. For example, students have developed their knowledge of financial markets through a one-week trading simulation delivered in partnership with Amplify Trading. Read more about our professional skills activities for finance students.

Assessment

Assessment methods emphasise not just knowledge, but essential skills development too. They include formal exams, group projects, reports, computer simulation exercises, essays and written assignments, group and individual presentations.

This diversity enables you to develop a broad range of skills as preparation for professional life.

Career opportunities

Graduates of this course are equipped with the skills and knowledge to pursue a range of career options within finance, including risk management, credit risk analysis, derivatives, insurance and finance research.

Previous graduates have gone on to work for a variety of financial institutions, investment banks, regulators and standard setters, international insurers, asset managers, underwriters and investment funds.

This degree is also an excellent qualification for individuals seeking to pursue further postgraduate research.

Careers support

We help you to achieve your career ambitions by providing professional development support and training as part of the Masters programme. You benefit from the support of a Professional Development Tutor, who will work with you to develop the important professional skills that employers value.

We’re committed to offering a wide range of development and training opportunities. Recent activities have included field trips to corporate headquarters, CV building and interview sessions, professional risk management workshops and commercial awareness networking events.

Read more about our careers and professional development support.

The University of Leeds Careers Centre also provides a range of help and advice to help you plan your career and make well-informed decisions along the way, even after you graduate.



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The M.S. in Applied and Computational Mathematics program is designed to prepare students to join the workforce as a consulting mathematician or to pursue doctoral study in computational and industrial mathematics or other computationally-intensive field of study. Read more
The M.S. in Applied and Computational Mathematics program is designed to prepare students to join the workforce as a consulting mathematician or to pursue doctoral study in computational and industrial mathematics or other computationally-intensive field of study. 

Distinctive features include:

• Project-oriented approach in all courses - real-world industrial problems motivate coursework
• Team problem-solving practica emulate an industrial microcosm in which undergrads, grads, faculty, and industrial partners work together to study real-world problems
• Dual emphasis is placed on computational mathematics in the study of all real-world projects in each course of the curriculum

Students who complete the proposed program will:

• Acquire advanced knowledge of a wide variety of topics that span the realm of applied mathematics, including differential equations, discrete mathematics, probabilistic modelling, optimisation and statistical analysis. 
• Become adept at employing all steps of the mathematical modelling process in the analysis of real-world phenomena.
• Acquire expertise in using various forms of technology and in using, modifying, and creating numerical algorithms used in the analysis of real-world phenomena,
• Develop the valuable intuition of using the right tool for the right job.

Curriculum

Required modules:

MAT 500 Fundamentals of Applied Mathematics
MAT 548 Industrial Mathematics - Continuous Models
MAT 549 Industrial Mathematics - Discrete Models
MAT 552 Operations Research
MAT 553 Stochastic Modelling
MAT 554 Scientific Computing
MAT 555 Industrial Practicum - Continuous Models
STA 505 Mathematical Statistics I
MAT 556 Industrial Practicum - Discrete Models
STA 511 Intro Stat Computing & Data Management

Electives:

One three-credit elective must be chosen from one of the following

MAT 514 Theory Of Numbers
MAT 515 Algebra I
MAT 516 Algebra II
MAT 532 Geometry I
MAT 533 Geometry II
MAT 535 Topology
MAT 545 Real Analysis I
MAT 546 Real Analysis II
MAT 575 Complex Analysis I

An additional three credit elective must be chosen from any 500-level mathematics or statistics course not completed from the above list.

Collaborators and Local Industry

Representatives from the private sector consisting of mathematicians and scientists from large companies such as Vanguard, and PrimePay; employees of up-and-coming software companies such as iPipeline; and representatives of small privately-owned consulting firms and hedge fund companies, such as Wagner Associates and TFS Capital were consulted in the creation of this program.  We are continually expanding our network of collaborators within the private sector, with our newest collaborator being Stroud Preserve in West Chester.

Vastly different types of mathematical problems are studied by the members of this group.  Many have agreed to contribute to this M.S. program by way of delivering colloquium talks about their experiences in industry, and by creating and investigating real-world problems in our practicum courses.

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This programme offers distinct specialisation areas in electronics. analogue VLSI design, bioelectronics and analogue and digital systems. Read more

This programme offers distinct specialisation areas in electronics: analogue VLSI design, bioelectronics and analogue and digital systems.

In analogue VLSI design, our facilities include a unique custom designed analogue integrated circuit specifically designed to support laboratory based teaching. Our advanced design and prototyping laboratories, advanced micro and nano fabrication facilities and state-of-the-art digital system laboratories use the latest industry standard software tools.

Alternatively, students may specialise in the emergent discipline of bioelectronics where our research and teaching interests include access to the fabrication facilities at the Scottish Microelectronics Centre. For students who wish to study a more general electronics course including digital systems, a prescribed course selection is available.

Programme structure

This programme is run over 12 months, with two semesters of taught courses, followed by a research project, leading to a masters thesis. There is a great deal of flexibility in our degree programme with three distinct streams as follows:

  • Analogue
  • Analogue and Digital
  • Bioelectronics

Analogue Stream

Compulsory courses:

  • Analogue IC Design
  • Analogue VLSI A
  • Discrete-time Signal Analysis (MSc)
  • Power Electronics (MSc)
  • Principles of Microelectronic Devices
  • Analogue Circuit Design
  • Analogue VLSI B
  • Research Project Preparation
  • Electronics: Project and Thesis

Optional courses: A choice of either :

  • Sigma Delta Data Converters

or

  • Microfabrication Techniques and
  • Technology and Innovation Management

Analogue and Digital Stream

Compulsory courses:

  • Analogue IC Design
  • Analogue VLSI A
  • Discrete-time Signal Analysis
  • Principles of Microelectronic Devices
  • Digital Systems Design
  • Digital Systems Laboratory
  • Research Project Preparation
  • Electronics: Project and Thesis

Optional courses: Either

  • Power Electronics or
  • Digital Systems Laboratory A

Plus one of:

  • Microfabrication Techniques
  • Modern Economic Issues in Industry
  • Technology and Innovation Management

And either:

  • Sigma Delta Data Converters

or

  • Embedded Mobile and Wireless Systems (EWireless)

Bioelectronics Stream

Compulsory courses:

  • Analogue Circuit Design
  • Analogue IC Design
  • Biosensors
  • Introduction to Bioelectronics (MSc)
  • Lab-on-Chip Technologies
  • Analogue VLSI A
  • Biosensors and Instrumentation
  • Microfabrication Techniques
  • Applications of Sensor and Imaging Systems
  • Research Project Preparation
  • Electronics: Project and Thesis

Optional courses: A choice of either:

  • Principles of Microelectronic Devices

or

  • Digital Systems Laboratory A

Career opportunities

You will gain significant practical experience in analogue and digital laboratories and become familiar with the latest industry standard design software and environments. Having been exposed to concepts such as design re-use and systems on chip technology, you will be able to cooperate with others in electronic system design. Recent graduates are now working as applications, design, field, test and validation engineering for employers such as BMW, Guangzhou Hangxin Avionics and Kongsberg Maritime.



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Our Music MLitt enables you to develop a flexible individual research programme in classical, popular, world, contemporary, early, folk and traditional music, applying approaches of interest to you (eg historiographic, theoretical, cultural, critical), under the supervision of specialists who are leaders in their field. Read more
Our Music MLitt enables you to develop a flexible individual research programme in classical, popular, world, contemporary, early, folk and traditional music, applying approaches of interest to you (eg historiographic, theoretical, cultural, critical), under the supervision of specialists who are leaders in their field.

This programme is primarily aimed at students who want to pursue independent musicological research, and who like the idea of first working on shorter research assignments (which can be on related or separate topics), before embarking on an extended final dissertation.

It provides an excellent foundation for continuing on to doctoral study. It is also a valuable qualification in its own right and can add a further dimension to your undergraduate degree, in a 3+1 model.

The MLitt is a modular research programme, which means that it is made up of discrete areas of study:
-Music research training (20 credits)
-Research assignments (80 credits)
-Dissertation (80 credits)

The research assignments are one of the programme’s distinctive features. They allow you to propose and research two or three separate projects (weighted at 40+40, or 20+20+40 credits), which may be connected or on discrete topics, and which lay the ground for your final dissertation. These are completed at the end of April (in year two for part time students) leaving the rest of the programme devoted to your dissertation.

Delivery

The course is delivered on the Newcastle campus (with options – under certain circumstances – for study abroad). All students are required to complete the Music Research Training module during their first two semesters of study and beyond this, study is based on one to one tutorials with supervisors appropriate to your research assignments or dissertation.

The subjects of your Research Assignments and final dissertation require a formal proposal and approval; if these are practicable and within our areas of expertise, these can all be on a topic of your own choosing.

The MLitt is designed primarily with scholarly types of research in mind, but can also accommodate some practical components where appropriate, for example performance in the context of performance practice research.

Facilities

We have outstanding specialist music facilities, including our £4.5m purpose built Music Studios, designed with performance, multimedia and studio-based work in mind.

Additional facilities include:
-Two professional grade recording studios
-A large student common room, including a work area with PCs featuring specialist music software
-A range of recently refurbished rehearsal spaces
-A full range of recently refurbished teaching facilities, including a 100-seat lecture theatre, two 50 seat lecture theatres and three 25-seater seminar rooms
-12 practice rooms with integrated recording facilities
-A dedicated postgraduate workspace
-A project room equipped with 5.1 mixing system

The University Library also has extensive music collections (including a number of important manuscript and microfilm collections), subscribes to many specialist Music journals, has access to a significant body of online resources, and is widely recognised for the supportive service it offers students and staff.

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Actuaries evaluate and manage financial risk. They apply advanced mathematical and statistical techniques to solve financial problems, assess the likelihood of a particular event and the possible financial costs. Read more

Actuaries evaluate and manage financial risk. They apply advanced mathematical and statistical techniques to solve financial problems, assess the likelihood of a particular event and the possible financial costs. The role of the actuary is increasingly important in the current economic climate, where volatile markets are contributing to financial uncertainty.

Our MSc Actuarial Finance will introduce you to essential business topics and enable you to apply your quantitative skills to solve complex business problems, such as risk management, insurance and derivatives. You’ll gain comprehensive knowledge in business areas such as accountancy, corporate finance and economics, as well as key analytical techniques, processes and models that have significant applications in actuarial finance.

The Business School has strong links with the actuarial profession and the insurance and pensions industry, giving you the opportunity to interact with practising actuaries and industry experts.

Academic excellence

This course is delivered in partnership with the University’s School of Mathematics. You’ll learn from leading academics based in both schools, giving you access to world-class expertise in both areas.

As a student, you will be able to access the knowledge of our advanced specialist research units, which also have strong links with leading institutions in the US, Europe and Asia. These include the Centre for Advanced Study in Finance (CASIF), the Institute of Banking and Investment (IBI) and the Credit Management Research Centre (CMRC).

You will also benefit from our strong relationships with the actuarial profession. This provides a connection to the latest developments in the industry and gives you a masters degree that is relevant to the contemporary environment.

Course content

You’ll take compulsory modules in corporate finance and economics allowing you to put your work into context and understand the importance of the role played by actuaries. At the same time, you’ll build your mathematical skills with classes in applied statistics and probability, as well as discrete time finance.

Building on this, you’ll study continuous time finance and gain an understanding of how different stochastic processes and survival models are applied to actuarial science. This will compliment your studies in topics such as accounting, professionalism and ethics, international investment and portfolio risk management.

Throughout the year you’ll build your professional skills with a core module focussing on critical practical skills that will prepare you for the workplace. At the end of the course, you’ll bring together your business, mathematical and professional knowledge to complete an independent project on a topic of your choice, which will demonstrate your ability to apply the skills you’ve gained.

Course structure

Compulsory modules

  • Portfolio Risk Management 15 credits
  • Corporate Finance 15 credits
  • Professionalism & Ethics for Actuaries 15 credits
  • International Investment 15 credits
  • Economics for Business 15 credits
  • Financial Reporting and Analysis 15 credits
  • Applied Statistics and Probability 15 credits
  • Discrete Time Finance 15 credits
  • Models in Actuarial Science 15 credits
  • Continuous Time Finance 15 credits
  • Projects in Actuarial Finance 30 credits

For more information on typical modules, read Actuarial Finance MSc in the course catalogue

Learning and teaching

Our tutors come from highly respected professional and academic backgrounds. We use a range of teaching methods so you can benefit from their expertise including lectures, workshops, seminars, computer simulations and tutorials.

In addition to the assessed modules and research dissertation, you benefit from professional training activities and employability workshops.

Independent study is also an important part of the course, allowing you to prepare for taught classes and sharpen your own research and critical thinking skills.

Assessment

Assessment methods emphasise not just knowledge, but essential skills development too. They include formal exams, group projects, reports, computer simulation exercises, essays and written assignments, presentations and reflective logs. This diversity enables you to develop a broad range of skills as preparation for professional life.

Career opportunities

As a graduate of this course you will be able to demonstrate in-depth knowledge of core actuarial principles, and the numerical and analytical skills to succeed in this rapidly changing complex environment.

Graduates have entered successful careers in insurance, pensions, accountancy, risk management and consultancy. Job prospects are wide ranging and include careers as accountants, consultants, scheme and insurance actuaries, and employment in investment banking and risk management.

As a result of the high level of quantitative skills developed, you also gain an excellent grounding for PhD study in accounting, finance and economics.

Careers support

We help you to achieve your career ambitions by providing professional development support and training as part of the Masters programme. You benefit from the support of a Professional Development Tutor, who will work with you to develop the important professional skills that employers value.

We’re committed to offering a wide range of development and training opportunities. Recent activities have included CV building and interview sessions, professional risk management workshops and commercial awareness networking events.

Read more about our careers and professional development support.

The University of Leeds Careers Centre also provides a range of help and advice to help you plan your career and make well-informed decisions along the way, even after you graduate.



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Make a difference in the lives and well-being of children and families while advancing your career with our PgD Specialist Community Public Health Nursing (SCPHN). Read more

Make a difference in the lives and well-being of children and families while advancing your career with our PgD Specialist Community Public Health Nursing (SCPHN). Communities have diverse needs and challenges – and we’ve designed a programme that will prepare you to meet them.

As a health visitor you will have the opportunity to serve the common good on a daily basis, promoting better health at an individual, group and community level. And at GCU, you’ll get a world-class education from an institution with a long history of training in the field.

We’ll help you develop the skills you need for effective and efficient care, with a child- and family-centred approach that empowers providers and patients alike. With a focus on preventive and anticipatory care, you’ll take on a unique role in health service, collaborating with and encouraging new parents and their families. 

You’ll use the lessons you learn in GCU’s friendly, diverse and thriving community to build rapport, offering support and encouragement wherever you go next.

What you will study

Research, Public Health Theory to Social Action, Enhanced Health Visiting Practice; Contemporary Leadership and Change, SCPHN Consolidation of Practice. Integrated throughout the modules is Nurse Prescribing V100.

Progression

This programme articulates as a discrete pathway within the MSc Health and Social Care. Attainment of the MSc Health and Social Care will be conferred following successful completion of a Masters Research Dissertation.

Graduate prospects

With a PgD Specialist Community Public Health Nurse (Health Visiting), you’ll be fully prepared to advance in a rewarding new career and make a positive impact on your community. Our graduates complete the programme with Part 3 of the Nursing and Midwifery Council register. This programme also offers a discrete pathway within the MSc Health and Social Care.



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Mathematics underlies some vital situations in practical life. Game theory, with roots in mathematics, statistics and economics, is routinely applied to understanding and predicting human behaviour. Read more
Mathematics underlies some vital situations in practical life.

Game theory, with roots in mathematics, statistics and economics, is routinely applied to understanding and predicting human behaviour. Problems of protection of digital information against piracy are closely related to aspects of set systems. And the RSA cryptosystem, used on computers all over the world, depends on classical results of number theory.

Our MSc Mathematics covers many aspects of discrete mathematics and their potential use in practice, and provides you with options in:
-Optimisation
-Machine learning
-Data mining
-Statistics

Our interdisciplinary research recognises that mathematics, including what can be very abstract mathematics, is an essential part of research in many other disciplines.

Our Department of Mathematical Sciences has an international reputation in many areas including semi-group theory, optimisation, probability, applied statistics, bioinformatics and mathematical biology.

This course can also be studied to a PGDip level - for more information, please view this web-page: http://www.essex.ac.uk/courses/details.aspx?mastercourse=PG00538&subgroup=2

Our expert staff

Our Department of Mathematical Sciences is a small but influential department, so our students and staff know each other personally. You never need an appointment to see your tutors and supervisors, just knock on our office doors – we are one of the few places to have an open-door policy, and no issue is too big or small.

Our staff have published several well-regarded text books and are world leaders in their individual specialisms, with their papers appearing in learned journals like Communications in Algebra, Studia Logica, International Journal of Algebra and Computation, SIAM Journal in Optimization, IEEE Evolutionary Computation, Computers and Operations Research, Ecology, Journal of Mathematical Biology, and Journal of Statistical Applications in Genetics and Molecular Biology.

Specialist facilities

-Unique to Essex is our renowned Maths Support Centre, which offers help to students, staff and local businesses on a range of mathematical problems. Throughout term-time, we can chat through mathematical problems either on a one-to-one or small group basis
-We have our own computer labs for the exclusive use of students in the Department of Mathematical Sciences – in addition to your core maths modules, you gain computing knowledge of software including Matlab and Maple
-We host regular events and seminars throughout the year
-Our students run a lively Mathematics Society, an active and social group where you can explore your interest in your subject with other students

Your future

Key employability skills you gain from this course include analytic reasoning, problem solving, techniques of discrete mathematics and an understanding of application areas of these techniques, algorithm design and implementation, and data analysis.

Our graduates are highly sought after by a range of employers and find employment in financial services, scientific computation, decision making support and government, risk assessment, statistics, education and other sectors.

We also offer supervision for PhD, MPhil and MSc by Dissertation. We have an international reputation in many areas such as semi-group theory, optimisation, probability, applied statistics, bioinformatics and mathematical biology, and our staff are strongly committed to research and to the promotion of graduate activities.

We additionally work with our Employability and Careers Centre to help you find out about further work experience, internships, placements, and voluntary opportunities.

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The ideas of applied mathematics pervade several applications in a variety of businesses and industries as well as government. Sophisticated mathematical tools are increasingly used to develop new models, modify existing ones, and analyze system performance. Read more

Program overview

The ideas of applied mathematics pervade several applications in a variety of businesses and industries as well as government. Sophisticated mathematical tools are increasingly used to develop new models, modify existing ones, and analyze system performance. This includes applications of mathematics to problems in management science, biology, portfolio planning, facilities planning, control of dynamic systems, and design of composite materials. The goal is to find computable solutions to real-world problems arising from these types of situations.

The master of science degree in applied and computational mathematics provides students with the capability to apply mathematical models and methods to study various problems that arise in industry and business, with an emphasis on developing computable solutions that can be implemented. The program offers options in discrete mathematics, dynamical systems, and scientific computing. Students complete a thesis, which includes the presentation of original ideas and solutions to a specific mathematical problem. The proposal for the thesis work and the results must be presented and defended before the advisory committee.

Curriculum

Several options available for course sequence:
-Discrete mathematics option
-Dynamical systems option
-Scientific computing option

See website for individual module details.

Other entry requirements

-Submit official transcripts (in English) of all previously completed undergraduate and graduate course work.
-Submit a personal statement of educational objectives.
-Have an undergraduate cumulative GPA of 3.0 or higher.
-Submit two letters of recommendation, and complete a graduate application.
-International applicants whose primary language is not English must submit scores from the Test of English as a Foreign Language (TOEFL). A minimum score of 550 (paper-based) or 79-80 (Internet-based) is required. International English Language Testing System (IELTS) scores are accepted in place of the TOEFL exam. Minimum scores vary; however, the absolute minimum score required for unconditional acceptance is 6.5. For additional information about the IELTS, please visit http://www.ielts.org. Those who cannot take the TOEFL will be required to take the Michigan Test of English Proficiency at RIT and obtain a score of 80 or higher.
-Although Graduate Record Examination (GRE) scores are not required, submitting them may enhance a candidate's acceptance into the program.
-A student may also be granted conditional admission and be required to complete bridge courses selected from among RIT’s existing undergraduate courses, as prescribed by the student’s adviser. Until these requirements are met, the candidate is considered a nonmatriculated student. The graduate program director evaluates the student’s qualifications to determine eligibility for conditional and provisional admission.

Additional information

Student’s advisory committee:
Upon admission to the program, the student chooses an adviser and forms an advisory committee. This committee oversees the academic aspects of the student’s program, including the selection of a concentration and appropriate courses to fulfill the program’s requirements.

Cooperative education:
Cooperative education enables students to alternate periods of study on campus with periods of full-time, paid professional employment. Students may pursue a co-op position after their first semester. Co-op is optional for this program.

Part-time study:
The program is ideal for practicing professionals who are interested in applying mathematical methods in their work and enhancing their career options. Most courses are scheduled in the late afternoon or early evening. The program may normally be completed in two years of part-time study.

Nonmatriculated students:
A student with a bachelor’s degree from an approved undergraduate institution, and with the background necessary for specific courses, may take graduate courses as a nonmatriculated student with the permission of the graduate program director and the course instructor. Courses taken for credit may be applied toward the master’s degree if the student is formally admitted to the program at a later date. However, the number of credit hours that may be transferred into the program from courses taken at RIT is limited for nonmatriculated students.

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About the programme. In addition to being a science in its own right, mathematics plays a fundamental role in the quantitative areas of practically all other academic disciplines, particularly in the natural sciences, engineering, business administration, economics, medicine and psychology. Read more

About the programme

In addition to being a science in its own right, mathematics plays a fundamental role in the quantitative areas of practically all other academic disciplines, particularly in the natural sciences, engineering, business administration, economics, medicine and psychology. Mathematical results permeate nearly all facets of life and are a necessary prerequisite for the vast majority of modern technologies – and as our IT systems become increasingly powerful, we are able to mathematically handle enormous amounts of data and solve ever more complex problems.

Special emphasis is placed on developing students' ability to formalise given problems in a way that facilitates algorithmic processing as well as enabling them to choose or develop, and subsequently apply, suitable algorithms to solve problems in an appropriate manner. The degree programme is theoretical in its orientation, with strongly application-oriented components. Studying this programme, you can gain advanced knowledge in the mathematical areas of Cryptography, Computer Algebra, Algorithmic Algebra and Geometry, Image and Signals Processing, Statistics and Stochastic Simulation, Dynamical Systems and Control Theory as well as expert knowledge in Computer Science fields such as Data Management, Machine Learning and Data Mining.

Furthermore, you will have the chance to learn how to apply your knowledge to tackle problems in areas as diverse as Marketing, Predictive Analytics, Computational Finance, Digital Humanities, IT Security and Robotics.

Programme syllabus

The core modules consist of two mathematics seminars and the presentation of your master's thesis.The compulsory elective modules are divided into eight module groups:

1)   Algebra, Geometry and Cryptography

This module group imparts advanced results in the areas of algebra and geometry, which constitute the fundament for algorithmic calculations, particularly in cryptography but also in many other mathematical areas.

2)   Mathematical Logic and Discrete Mathematics

The theoretical possibilities and limitations of algorithm-based solutions are treated in this module group.

3)   Analysis, Numerics and Approximation Theory

Methods from the fields of mathematical analysis, applied harmonic analysis and approximation theory for modelling and approximating continuous and discrete data and systems as well as efficient numerical implementation and evaluation of these methods are the scope of this module group.

4) Dynamical Systems and Optimisation

Dynamical systems theory deals with the description of change over time. This module group is concerned with methods used for the modelling, analysis, optimisation and design of dynamical systems, as well as the numerical implementation of such techniques.

5) Stochastics, Statistics

This module group deals with methods for modelling and analysing complex random phenomena as well as the construction, analysis and optimisation of stochastic algorithms and techniques used in statistical data analysis.

6) Data Analysis and Data Management and Programming

This module group examines the core methods used in computer science for the analysis of data of heterogeneous modalities (e.g. multimedia data, social networks and sensor data) and for the realisation of data analysis systems.

7) Applications

In this module group, you will practise applying the mathematical methods learned in module groups 1 to 6 to real-world applications such as Marketing, Predictive Analytics and Computational Finance.

8) Key Competencies and Language Training

In this module group, you will choose seminars that develop your non-subject-specific skills, such as public speaking and academic writing and other soft skills; you may also undertake internships. This serves to complement your technical expertise gained during your degree studies and helps to prepare you for your professional life after university.



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The MEd Early Years is primarily aimed at professionals working in the Early Learning and Childcare sector in its widest definition (school and Early Learning and Childcare settings, health and social work), who are addressing these agendas and supporting their own development and of and others. Read more

The MEd Early Years is primarily aimed at professionals working in the Early Learning and Childcare sector in its widest definition (school and Early Learning and Childcare settings, health and social work), who are addressing these agendas and supporting their own development and of and others.

The current national and international priorities focus on tackling inequality through raising attainment and reducing poverty. Current policy frameworks are underpinned by UN Convention on the Rights of the Child (1989) and tackle inequality through working sensitively supporting and involving families, early years intervention and improvement, literacy and pedagogy and practice.

Course Details

There is no requirement to attend ‘face-to-face’ sessions on this innovative course as it is offered by distance learning, using the UWS virtual learning environment. However, face-to-face delivery may also be an option for some cohorts. Materials are supplied online and the system allows access to both electronic journals and e-books. Participants are required to contribute to online discussion threads on themes relevant to the modules. The approach taken to the learning and assessment is that of reflection on and in practice thus making the theory and practice links necessary to enhance future practice.

There are three stages to the programme.

Year 1

The Postgraduate Certificate stage consists of three 20-credit SCQF Level 11/ Masters level modules, and can be taken as a discrete programme. All new students start with the compulsory

Participation and Children’s Rights module and then select 2 from:

  • Supporting Professional Development
  • Early Years Pedagogy
  • Early Intervention: Policy and Practice
  • Supporting and Developing Literacy

Or 20 credits of their own choice from the The School of Education CPD portfolio.

Year 2

The Postgraduate Diploma also consists of three 20-credit SCQF Level 11/ Masters level modules and can be taken as a discrete programme. The mandatory module is Research Methods in Education and then students select 2 from:

  • Supporting Professional Development
  • Early Years Pedagogy
  • Early Intervention: Policy and Practice
  • Supporting and Developing Literacy

Or 20 credits of their own choice from the School of Education CPD portfolio.

Year 3

Upon successful completion of the diploma phase interested applicants can continue with the Masters phase which comprises a dissertation in consultation with the course Leader.

Teaching & Assessment

Our course is taught largely online through the Moodle Virtual Learning Environment. Within Moodle, you will make use of e-learning methods such as:

  • remotely accessing readings
  • research journals
  • discussion boards
  • online and asynchronous communication with tutors and fellow students.

You will be assessed using a combination of the methods below:

  • essays
  • assignments
  • individual presentations
  • group presentations
  • online discussion threads

Course Structure

Find out more about the structure, learning outcomes, compulsory and optional modules in this course.

Course Structure (17/18)

Learn a Language (optional)

This course also gives you the option of taking a language module, which can count towards your degree. These modules cover ten languages and range from absolute beginner to near-native speaker level.



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This MSc programme is run by Heriot-Watt University jointly with The University of Edinburgh. Upon graduation, you will receive a degree certificate bearing crests of both universities. Read more

This MSc programme is run by Heriot-Watt University jointly with The University of Edinburgh. Upon graduation, you will receive a degree certificate bearing crests of both universities.

It provides you with expertise in financial mathematics, including stochastic calculus, and a range of practical techniques for analysing financial markets. You will also learn quantitative skills for developing and managing risk that are in high demand.

Programme structure

This programme involves two taught semesters of compulsory and optional courses, followed by a dissertation project.

The teaching is shared between Heriot-Watt University (HW) and The University of Edinburgh (UoE). The timetable is arranged so that you spend three days a week at the Heriot-Watt Riccarton Campus and two days a week at University of Edinburgh’s King’s Buildings Campus.

The dissertation project is either carried out with an industrial partner (e.g. Aberdeen Asset Management, Moody’s Analytics and Lloyds Banking Group) or supervised by academics at Heriot-Watt University. The programme typically involves the following courses.

Compulsory courses:

  • Credit Risk Modelling (HW)
  • Derivatives Markets (HW)
  • Derivative Pricing and Financial Modelling (HW)
  • Discrete-Time Finance (UoE)
  • Financial Markets (HW)
  • Special Topics 1 (UoE)
  • Special Topics 2 (HW)
  • Stochastic Analysis in Finance (UoE)

Option courses:

  • Optimization Methods in Finance (UoE)
  • Financial Econometrics (HW)
  • Portfolio Theory (HW)
  • Numerical Techniques of Partial Differential Equations (HW)
  • Simulation (UoE)
  • Statistical Methods (HW)
  • Statistical Inference (HW)
  • Time Series Analysis (HW)
  • Stochastic Control and Dynamic Asset Allocation (UoE)

Work placements/internships

Adding depth to your learning, our work placement programme puts you at the heart of organisations such as Aberdeen Asset Management, Moody’s Analytics and Lloyds Banking Group.

Career opportunities

Graduates typically work in major financial institutions or continue their studies by joining PhD programmes.



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This masters programme covers the advanced mathematics that has revolutionised finance since the works of Black, Scholes and Merton in the early seventies. Read more
This masters programme covers the advanced mathematics that has revolutionised finance since the works of Black, Scholes and Merton in the early seventies. This programme is aimed at those students who are passionate about mathematics and driven to make a career amongst the many and varied financial institutions throughout the world.

The programme, which is part of the Maxwell Institute for Mathematical Sciences, the joint research institute of mathematical sciences at the University of Edinburgh and Heriot-Watt University, provides an intensive training in the mathematical ideas and tools vital to the finance industry. By developing essential new mathematical concepts, especially in stochastic calculus, and placing the mathematics in the contexts of financial markets, derivative pricing and credit risk, the programme equips students for a range of exciting and potentially lucrative career opportunities.

The programme is delivered jointly between Heriot-Watt University and the University of Edinburgh. This means you will be enrolled as a student at both univerities and benefit from access to all the services and facilities each university has to offer.

Teaching is delivered by renowned academics from both Heriot-Watt and the University of Edinburgh - some classes will therefore take place at Heriot-Watt's campus and others at the University of Edinburgh campus. Successful students will graduate with a degree awarded jointly by Heriot-Watt and the University of Edinburgh and both names will appear on the graduation certificate.

Programme content

Core courses

Derivatives Markets
Derivative Pricing and Financial Modelling
Financial Markets
Discrete-Time Finance
Stochastic Analysis in finance
Credit Risk Modelling
Special Topics, including industry lead projects

Options

Statistical Methods
Financial Econometrics
Time Series Analysis
Modern Portfolio Theory
Optimisation Methods in Finance
Numerical Methods for PDEs
Simulation in Finance
Deterministic Optimisation Methods in Finance

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The masters course in Polymer Materials Science and Engineering, offered in partnership with the School of Chemistry, is multi-disciplinary. Read more

The masters course in Polymer Materials Science and Engineering, offered in partnership with the School of Chemistry, is multi-disciplinary: it provides Chemists, Materials Scientists and Engineers with a rich understanding of both traditional commodity plastics and speciality polymers with increasing applications in the biomedical and pharmaceutical fields, and in electronics and nanotechnology. The full range of issues, from fundamental polymer science, through polymer processing, to manufacturing are all covered.

Coursework and assessment

The taught part of the programme is based on discrete compulsory and optional taught course units.

Course unit details

Example of taught units on this course are:

  • Introduction to Materials Science
  • Advanced Research Methods
  • Principles of Polymers and Polymer Composites
  • Control and Design of Polymerisation Reactions
  • Polymer Physics and Physical Properties
  • Advanced Composites
  • Soft Matter

Disability support

Practical support and advice for current students and applicants is available from the Disability Advisory and Support Service. Email: 

Career opportunities

The majority of graduates of this programme go on to fill key posts as materials scientists, engineers, managers and consultants in academia, industry and research and development. Some advance to PhD programmes within the School.



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“There is no branch of mathematics, however abstract, which may not someday be applied to phenomena of the real world.” –. Nikolai Ivanovich Lobachevsky. Read more

“There is no branch of mathematics, however abstract, which may not someday be applied to phenomena of the real world.” – Nikolai Ivanovich Lobachevsky

If you're looking to take your undergraduate mathematics experience to new levels and develop advanced research skills, this intensive programme covers the wide spectrum of discrete mathematics, applied mathematics and statistics, and addresses some of the key quantifiable challenges and opportunities in the world around us. An interdisciplinary subject by nature, we will help you to apply mathematical concepts and methods to the ever-changing worlds of science, engineering, business, digital technology and industry, and particularly to communication theory, mathematical physics and financial mathematics, where some of our key research interests lie.

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. You will be guided by renowned specialists in the field who publish in internationally competitive journals and work closely with partners in industry.

Join our friendly and inspiring department and you will benefit from a thoroughly supportive learning environment, with generous staff office hours and a dedicated personal advisor to help you with any queries and guide you through your degree. Our graduates are in demand for their skills in research, numeracy, data handling and analysis, logical thinking and creative problem solving.

  • Apply your mathematics to real-world situations and gain the skills to work at a high level in industry, business or research.
  • Learn from internationally renowned mathematicians. We rank second in the UK for our 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: You will carry out a detailed study into a topic of your choosing in mathematics, analysing information from a range of sources. You will submit a written report of between 8,000 and 16,000 words in length.

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.

  • Theory of Error-Correcting Codes
  • Channels
  • Advanced Cipher Systems
  • Public Key Cryptography
  • Applications of Field Theory
  • Quantum Information and Coding
  • Principles of Algorithm Design
  • Advanced Financial Mathematics
  • Combinatorics
  • Computational Number Theory
  • Applied Probability
  • Inference
  • Topology

Teaching & assessment

You will initially choose eight modules from the list of available options, of which you specify modules 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%.

Your future career

By the end of this programme you will have completed a major research project and acquired an advanced knowledge and understanding of: the role and limitations of mathematics in solving problems that arise in real-world scenarios. You will also have impressive skills in selected areas of mathematics and their applications, and the ability to synthesise and interpret information from multiple sources with insight and critical awareness. We will teach you to formulate problems clearly and express your technical work and conclusions clearly in writing, and you will develop valuable transferable skills such as time management, adaptability and self-motivation.

Our graduates have gone on to carry out cutting-edge research in the fields of communication theory and cryptography, as well as successful careers in industries such as: information security, IT consultancy, banking and finance, higher education and telecommunication. They 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.

You will have a dedicated personal adviser to guide you through your studies and advise you on postgraduate opportunities, and the campus Careers team will be on hand to offer advice and guidance on your chosen career. The University of London Careers Advisory Service offers 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 advanced research, science and industry.
  • 90% of our graduates are in work or undertaking further study within six months of leaving (Unistats 2015).
  • Our strong ties with industry mean we understand the needs of employers.
  • Take advantage of our summer work placement scheme and fine-tune your CV before you enter your final year.
  • Benefit from a personal advisor who will guide you through your studies and future options.


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