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Full Time MSc Degrees in Mathematics, United Kingdom

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Take advantage of one of our 100 Master’s Scholarships to study Mathematics at Swansea University, the Times Good University Guide’s Welsh University of the Year 2017. Read more
Take advantage of one of our 100 Master’s Scholarships to study Mathematics at Swansea University, the Times Good University Guide’s Welsh University of the Year 2017. Postgraduate loans are also available to English and Welsh domiciled students. For more information on fees and funding please visit our website.

The MSc Mathematics course has been designed for students who wish to build on their BSc, extending their range of mathematics expertise across a broader spread of topics, and demonstrating their literature research skills through an extended dissertation.

Such a qualification will mark graduates out as having a broader and deeper understanding of mathematics, and the skills required to pursue a significant project with a high level of independence, presenting their results in a written report. This will give MSc Mathematics graduates an edge in the ever more competitive jobs market.

On the Mathematics course you will study different elements of mathematics in a broad sense - including mathematical elements of computing if desired - in addition to developing your research, project management, and written communication skills through a project you will undertake. As a student of MSc in Mathematics, you will be fully supported to ensure that your project further develops an excellent foundation for your future career plans.

Modules

Modules on the MSc Mathematics include:

• Algebraic coding theory
• Biomathematics
• Black-Scholes theory
• Data science
• Differential geometry
• Fourier analysis
• Ito calculus
• Lie theory
• Numerical analysis
• Partial differential equations
• Stochastic processes
• Statistical mechanics
• Topology

Please visit our website for a full description of modules for the MSc Mathematics.

On top of the Mathematics modules you study, you will also complete a dissertation as part of your studies.

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.

Mathematics students will benefit from the £31m Computational Foundry for computer and mathematical sciences which will provide the most up-to-date and high quality teaching facilities featuring world-leading experimental set-ups, devices and prototypes to accelerate innovation and ensure students will be ready for exciting and successful careers. (From September 2018)

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, statistically analysis, marketing and sales.

Some of our Mathematics students have been employed by AXA, BA, Deutsche Bank, Shell Research, Health Authorities and Local Government. Teaching is another area where Mathematics 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.

http://www.swansea.ac.uk/postgraduate/taught/science/mscmathematics/

Student Profile

"Further to my studies at Swansea University as a Master of Science graduate in Financial Mathematics, I am currently working at Deutsche Bank in London as part of the Structured Financial Services team providing client services for corporate lending and debt portfolios. The complex nature of the Mathematics course has helped me become a logical decision maker and a highly skilled problem solver. These transferable skills are very useful in the world of Finance since the role is highly challenging working towards deadlines and structured transaction targets. My studies at Swansea University have also enriched me with leadership, motivational skills and have enhanced my communication skills. I work in a close team of 10 people within a large department which encourages a culture that strives towards learning and effective teamwork. I thoroughly enjoyed my time at Swansea University and cherish the many fond memories. I am so pleased to be expanding my horizon within a major financial centre."

Rhian Ivey, BSc Mathematics, MSc Mathematics and Computing for Finance

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Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas. Read more
Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas.

If your mathematical background is insufficient for direct entry to the MSc in Mathematics and its Applications, you may apply for this course. The first year of this Master's programme gives you a strong background in mathematics, equivalent to the Graduate Diploma in Mathematics, with second year studies following the MSc in Mathematics and its Applications.

Visit the website https://www.kent.ac.uk/courses/postgraduate/148/international-masters-in-mathematics-and-its-applications

About the School of Mathematics, Statistics and Actuarial Science (SMSAS)

The School has a strong reputation for world-class research and a well-established system of support and training, with a high level of contact between staff and research students. Postgraduate students develop analytical, communication and research skills. Developing computational skills and applying them to mathematical problems forms a significant part of the postgraduate training in the School.

The Mathematics Group at Kent ranked highly in the most recent Research Assessment Exercise. With 100% of the Applied Mathematics Group submitted, all research outputs were judged to be of international quality and 12.5% was rated 4*. For the Pure Mathematics Group, a large proportion of the outputs demonstrated international excellence.

The Mathematics Group also has an excellent track record of winning research grants from the Engineering and Physical Sciences Research Council (EPSRC), the Royal Society, the EU, the London Mathematical Society and the Leverhulme Trust.

Course structure

At least one modern application of mathematics is studied in-depth by each student. Mathematical computing and open-ended project work forms an integral part of the learning experience. You strengthen your grounding in the subject and gain a sound grasp of the wider relevance and application of mathematics.

There are opportunities for outreach and engagement with the public on mathematics.

Modules

The following modules are indicative of those offered on this programme. This list is based on the current curriculum and may change year to year in response to new curriculum developments and innovation. Most programmes will require you to study a combination of compulsory and optional modules. You may also have the option to take modules from other programmes so that you may customise your programme and explore other subject areas that interest you.

MA552 - Analysis (15 credits)
MA553 - Linear Algebra (15 credits)
MA588 - Mathematical Techniques and Differential Equations (15 credits)
MA591 - Nonlinear Systems and Mathematical Biology (15 credits)
MA593 - Topics in Modern Applied Mathematics (30 credits)
MA549 - Discrete Mathematics (15 credits)
MA572 - Complex Analysis (15 credits)
MA563 - Calculus of Variations (15 credits)
MA587 - Numerical Solution of Differential Equations (15 credits)
MA577 - Elements of Abstract Analysis (15 credits)
MA576 - Groups and Representations (15 credits)
MA574 - Polynomials in Several Variables (15 credits)
MA961 - Mathematical Inquiry and Communication (30 credits)
MA962 - Geometric Integration (15 credits)
MA964 - Applied Algebraic Topology (15 credits)
MA965 - Symmetries, Groups and Invariants (15 credits)
MA968 - Mathematics and Music (15 credits)
MA969 - Applied Differential Geometry (15 credits)
MA970 - Nonlinear Analysis and Optimisation (15 credits)
MA971 - Introduction to Functional Analysis (15 credits)
MA972 - Algebraic Curves in Nature (15 credits)
MA973 - Basic Differential Algebra (15 credits)
CB600 - Games and Networks (15 credits)
MA562 - Nonlinear Waves and Solitons (15 credits)
MA960 - Dissertation (60 credits)

Assessment

Closed book examinations, take-home problem assignments and computer lab assignments (depending on the module).

Programme aims

This programme aims to:

- provide a Master’s level mathematical education of excellent quality, informed by research and scholarship

- provide an opportunity to enhance your mathematical creativity, problem-solving skills and advanced computational skills

- provide an opportunity for you to enhance your oral communication, project design and basic research skills

- provide an opportunity for you to experience and engage with a creative, research-active professional mathematical environment

- produce graduates of value to the region and nation by offering you opportunities to learn about mathematics in the context of its application.

Study support

Postgraduate resources
The University’s Templeman Library houses a comprehensive collection of books and research periodicals. Online access to a wide variety of journals is available through services such as ScienceDirect and SpringerLink. The School has licences for major numerical and computer algebra software packages. Postgraduates are provided with computers in shared offices in the School. The School has two dedicated terminal rooms for taught postgraduate students to use for lectures and self-study.

Support
The School has a well-established system of support and training, with a high level of contact between staff and research students. There are two weekly seminar series: The Mathematics Colloquium at Kent attracts international speakers discussing recent advances in their subject; the Friday seminar series features in-house speakers and visitors talking about their latest work. These are supplemented by weekly discussion groups. The School is a member of the EPSRC-funded London Taught Course Centre for PhD students in the mathematical sciences, and students can participate in the courses and workshops offered by the Centre. The School offers conference grants to enable research students to present their work at national and international conferences.

Dynamic publishing culture
Staff publish regularly and widely in journals, conference proceedings and books. Among others, they have recently contributed to: Advances in Mathematics; Algebra and Representation Theory; Journal of Physics A; Journal of Symbolic Computations; Journal of Topology and Analysis. Details of recently published books can be found within the staff research interests section.

Global Skills Award
All students registered for a taught Master's programme are eligible to apply for a place on our Global Skills Award Programme (http://www.kent.ac.uk/graduateschool/skills/programmes/gsa.html). The programme is designed to broaden your understanding of global issues and current affairs as well as to develop personal skills which will enhance your employability.

Careers

A postgraduate degree in Mathematics is a flexible and valuable qualification that gives you a competitive advantage in a wide range of mathematically oriented careers. Our programmes enable you to develop the skills and capabilities that employers are looking for including problem-solving, independent thought, report-writing, project management, leadership skills, teamworking and good communication.

Many of our graduates have gone on to work in international organisations, the financial sector, and business. Others have found postgraduate research places at Kent and other universities.

Find out how to apply here - https://www.kent.ac.uk/courses/postgraduate/apply/

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This programme is designed for graduates in mathematics, engineering, or science with excellent numeracy skills, wishing to pursue careers in the application of mathematics, in traditional areas such as engineering and science and in service areas such as finance and banking, where knowledge of modern applications of mathematics would be advantageous. Read more
This programme is designed for graduates in mathematics, engineering, or science with excellent numeracy skills, wishing to pursue careers in the application of mathematics, in traditional areas such as engineering and science and in service areas such as finance and banking, where knowledge of modern applications of mathematics would be advantageous. The core philosophy of the programme is to equip students both with mathematics and its applications and with high-level scientific software and associated numerical skills. The Greenwich campus, near the financial district of Canary Wharf, enables the department to build ties with many modern engineering and applied mathematics practitioners enabling our students to become part of a wider group. The Leslie Comrie seminar series, inviting both academics and industrialists, allows you to interact with our external links creating an advantageous learning experience. We provide you the grounds for building a high profile of understanding of current research practices in the industry. Our classes contain interactive applications that enhance the learning experience by innovative teaching practices. Utilising research expertise within the department you will graduate with a strong understanding of numerical methods. You will also develop an understanding for further applicability in various fields of applied mathematics and engineering.

This programme is suitable both for fresh graduates and also for experienced professional practitioners who wish to further their skills. The programme core modules cover modern mathematical skills together with applications across different industries, and there are optional professional modules directly related to research expertise within the Faculty. This ensures that students have an advanced understanding of both theory and practice in their selected specialist areas. Students will gain knowledge of mathematical skills and applications, computational skills, and relevant professional experience, related to traditional engineering and science modelling, modern enterprise applications, finance, and service industries. They will gain an understanding of emerging applications. There will be hands-on training in various development tools and in the use of computational software related to their professional direction. Assessment takes the form of 100% coursework, based on applications of current market practices. A supervised thesis project takes place at the end of the last teaching term during the summer months. Projects are allocated in March and students are invited to undertake a project that provides genuine insight in an area of the research interests within the department. The programme is also available on a part-time basis.

Visit the website http://www2.gre.ac.uk/study/courses/pg/maths/appmaths

Mathematics

Postgraduate mathematics students benefit from award-winning teaching and great facilities. Our programmes are informed by world-renowned research and our links with industry ensure our students develop the academic and practical skills that will enhance their career prospects.

What you'll study

Full time
- Year 1:
Option Set 1

Students are required to study the following compulsory courses.

English Language Support Course (for Postgraduate Students in the School of Computing and Mathematical Sciences)
Masters Project (Maths) (60 credits)
Computational Methods (15 credits)
Mathematical Approaches to Risk Management (15 credits)
Mathematics and its Applications (30 credits)

Students are required to choose 60 credits from this list of options.

Scientific Software Design and Development (15 credits)
Inverse Problems (15 credits)
Mathematics of Complex Systems (15 credits)
Reliability and Optimisation (15 credits)

Option Set 2
Students are required to study the following compulsory courses.

English Language Support Course (for Postgraduate Students in the School of Computing and Mathematical Sciences)
Masters Project (Maths) (60 credits)
Computational Methods (15 credits)
Mathematical Approaches to Risk Management (15 credits)
Mathematics and its Applications (30 credits)

Students are also required to choose 60 credits from this list of options.

Principles and Practice of Evacuation Modelling (30 credits)
Principles and Practice of Fire Modelling (30 credits)

Option Set 3

Students are required to study the following compulsory courses.

English Language Support Course (for Postgraduate Students in the School of Computing and Mathematical Sciences)
Masters Project (Maths) (60 credits)
Computational Methods (15 credits)
Mathematical Approaches to Risk Management (15 credits)
Mathematics and its Applications (30 credits)

Students are also required to choose 45 credits from this list of options.

Scientific Software Design and Development (15 credits)
Inverse Problems (15 credits)
Mathematics of Complex Systems (15 credits)
Reliability and Optimisation (15 credits)

Students are also required to choose 15 credits from this list of options.

Enterprise Software Engineering Development (15 credits)
Software Tools and Techniques (15 credits)
Actuarial Mathematics and Risk Modelling (15 credits)
Financial Time Series (15 credits)
Advanced Finite Difference Methods for Derivatives Pricing (15 credits)

Part time
- Year 1:
Students are required to study the following compulsory courses.

Inverse Problems (15 credits)
Mathematics and its Applications (30 credits)
Reliability and Optimisation (15 credits)

- Year 2:
Students are required to study the following compulsory courses.

Scientific Software Design and Development (15 credits)
Masters Project (Maths) (60 credits)
Computational Methods (15 credits)
Mathematics of Complex Systems (15 credits)

Students are required to choose 15 credits from this list of options.

Advanced Finite Difference Methods for Derivatives Pricing (15 credits)
Mathematical Approaches to Risk Management (15 credits)

Fees and finance

Your time at university should be enjoyable and rewarding, and it is important that it is not spoilt by unnecessary financial worries. We recommend that you spend time planning your finances, both before coming to university and while you are here. We can offer advice on living costs and budgeting, as well as on awards, allowances and loans.

Find out more about our fees and the support available to you at our:
- Postgraduate finance pages (http://www.gre.ac.uk/finance/pg)
- International students' finance pages (http://www.gre.ac.uk/finance/international)

Assessment

100% coursework: a supervised thesis project (during the summer months).

Career options

Our graduates are equipped with the tools to involve in many engineering applications and computational engineering sectors such as reliability engineering, risk management, complex engineering systems, fire safety and finance. Our expert seminar series gives you the opportunity to interact with leading figures from industry and academia and undertake projects of current industry practice. A postgraduate qualification is a major achievement and a milestone in your specialised career path leading to a professional career. The Department also offers a PhD programme which trains highly skilled candidates towards research careers in academia and industry. Our current collaborations for our PhD candidates lie with the STRIKE project for mathematical and computational applications.

Find out how to apply here - http://www2.gre.ac.uk/study/apply

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The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. Read more
The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. It is the medium for expressing knowledge about many physical phenomena and is concerned with patterns, systems, and structures unrestricted by any specific application, but also allows for applications across many disciplines.

Why this programme

◾Mathematics at the University of Glasgow is ranked 3rd in Scotland (Complete University Guide 2017).
◾The School has a strong international reputation in pure and applied mathematics research and our PGT programmes in Mathematics offer a large range of courses ranging from pure algebra and analysis to courses on mathematical biology and fluids.
◾You will be taught by experts across a wide range of pure and applied mathematics and you will develop a mature understanding of fundamental theories and analytical skills applicable to many situations.
◾You will participate in an extensive and varied seminar programme, are taught by internationally renowned lecturers and experience a wide variety of projects.
◾Our students graduate with a varied skill set, including core professional skills, and a portfolio of substantive applied and practical work.

Programme structure

Modes of delivery of the Masters in Mathematics/Applied Mathematics include lectures, laboratory classes, seminars and tutorials and allow students the opportunity to take part in project work.

If you are studying for the MSc you will take a total of 120 credits from a mixture of Level-4 Honours courses, Level-M courses and courses delivered by the Scottish Mathematical Sciences Training Centre (SMSTC).

You will take courses worth a minimum of 90 credits from Level-M courses and those delivered by the SMSTC. The remaining 30 credits may be chosen from final-year Level-H courses. The Level-M courses offered in a particular session will depend on student demand. Below are courses currently offered at these levels, but the options may vary from year to year.

Level-H courses (10 or 20 credits)
◾Algebraic & geometric topology
◾Continuum mechanics & elasticity
◾Differential geometry
◾Fluid mechanics
◾Functional analysis
◾Further complex analysis
◾Galois theory
◾Mathematical biology
◾Mathematical physics
◾Numerical methods
◾Number theory
◾Partial differential equations
◾Topics in algebra.

Level-M courses (20 credits)
◾Advanced algebraic & geometric topology
◾Advanced differential geometry & topology
◾Advanced functional analysis
◾Advanced methods in differential equations
◾Advanced numerical methods
◾Biological & physiological fluid mechanics
◾Commutative algebra & algebraic geometry
◾Elasticity
◾Further topics in group theory
◾Lie groups, lie algebras & their representations
◾Magnetohydrodynamics
◾Operator algebras
◾Solitons
◾Special relativity & classical field theory.

SMSTC courses (20 credits)
◾Advanced Functional Analysis
◾Advanced Mathematical Methods

The project titles are offered each year by academic staff and so change annually.

Career prospects

Career opportunities are diverse and varied and include academia, teaching, industry and finance.

Graduates of this programme have gone on to positions such as:
Maths Tutor at a university.

Read less
Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas. Read more
Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas.

This programme allows you to further enhance your knowledge, creativity and computational skills in core mathematical subjects and their applications giving you a competitive advantage in a wide range of mathematically based careers. The modules, which are designed and taught by internationally known researchers, are accessible, relevant, interesting and challenging.

About the School of Mathematics, Statistics and Actuarial Science (SMSAS)

The School has a strong reputation for world-class research and a well-established system of support and training, with a high level of contact between staff and research students. Postgraduate students develop analytical, communication and research skills. Developing computational skills and applying them to mathematical problems forms a significant part of the postgraduate training in the School.

The Mathematics Group at Kent ranked highly in the most recent Research Assessment Exercise. With 100% of the Applied Mathematics Group submitted, all research outputs were judged to be of international quality and 12.5% was rated 4*. For the Pure Mathematics Group, a large proportion of the outputs demonstrated international excellence.

The Mathematics Group also has an excellent track record of winning research grants from the Engineering and Physical Sciences Research Council (EPSRC), the Royal Society, the EU, the London Mathematical Society and the Leverhulme Trust.

National ratings

In the Research Excellence Framework (REF) 2014, research by the School of Mathematics, Statistics and Actuarial Science was ranked 25th in the UK for research power and 100% or our research was judged to be of international quality.

An impressive 92% of our research-active staff submitted to the REF and the School’s environment was judged to be conducive to supporting the development of world-leading research.

Course structure

At least one modern application of mathematics is studied in-depth by each student. Mathematical computing and open-ended project work forms an integral part of the learning experience. There are opportunities for outreach and engagement with the public on mathematics.

You take eight modules in total: six from the list below; a short project module and a dissertation module. The modules concentrate on a specific topic from: analysis; applied mathematics; geometry; and algebra.

Modules

The following modules are indicative of those offered on this programme. This list is based on the current curriculum and may change year to year in response to new curriculum developments and innovation. Most programmes will require you to study a combination of compulsory and optional modules. You may also have the option to take modules from other programmes so that you may customise your programme and explore other subject areas that interest you.

MA961 - Mathematical Inquiry and Communication (30 credits) - https://www.kent.ac.uk/courses/modules/module/MA961
MA962 - Geometric Integration (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA962
MA963 - Poisson Algebras and Combinatorics (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA963
MA964 - Applied Algebraic Topology (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA964
MA965 - Symmetries, Groups and Invariants (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA965
MA966 - Diagram Algebras (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA966
MA967 - Quantum Physics (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA967
MA968 - Mathematics and Music (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA968
MA969 - Applied Differential Geometry (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA969
MA970 - Nonlinear Analysis and Optimisation (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA970
Show more... https://www.kent.ac.uk/courses/postgraduate/146/mathematics-and-its-applications#!structure

Assessment

Assessment is by closed book examinations, take-home problem assignments and computer lab assignments (depending on the module). The project and dissertation modules are assessed mainly on the reports or work you produce, but also on workshop activities during the teaching term.

Programme aims

This programme aims to:

- provide a Master’s level mathematical education of excellent quality, informed by research and scholarship
- provide an opportunity to enhance your mathematical creativity, problem-solving skills and advanced computational skills
- provide an opportunity for you to enhance your oral communication, project design and basic research skills
- provide an opportunity for you to experience and engage with a creative, research-active professional mathematical environment
- produce graduates of value to the region and nation by offering you opportunities to learn about mathematics in the context of its application.

Careers

A postgraduate degree in Mathematics is a flexible and valuable qualification that gives you a competitive advantage in a wide range of mathematically oriented careers. Our programmes enable you to develop the skills and capabilities that employers are looking for including problem-solving, independent thought, report-writing, project management, leadership skills, teamworking and good communication.

Many of our graduates have gone on to work in international organisations, the financial sector, and business. Others have found postgraduate research places at Kent and other universities.

Learn more about Kent

Visit us - https://www.kent.ac.uk/courses/visit/openday/pgevents.html

International Students - https://www.kent.ac.uk/internationalstudent/

Why study at Kent? - https://www.kent.ac.uk/courses/postgraduate/why/

Read less
The Applied Mathematics group in the School of Mathematics at the University of Manchester has a long-standing international reputation for its research. Read more
The Applied Mathematics group in the School of Mathematics at the University of Manchester has a long-standing international reputation for its research. Expertise in the group encompasses a broad range of topics, including Continuum Mechanics, Analysis & Dynamical Systems, Industrial & Applied Mathematics, Inverse Problems, Mathematical Finance, and Numerical Analysis & Scientific Computing. The group has a strongly interdisciplinary research ethos, which it pursues in areas such as Mathematics in the Life Sciences, Uncertainty Quantification & Data Science, and within the Manchester Centre for Nonlinear Dynamics.

The Applied Mathematics group offers the MSc in Applied Mathematics as an entry point to graduate study. The MSc has two pathways, reflecting the existing strengths within the group in numerical analysis and in industrial mathematics. The MSc consists of five core modules (total 75 credits) covering the main areas of mathematical techniques, modelling and computing skills necessary to become a modern applied mathematician. Students then choose three options, chosen from specific pathways in numerical analysis and industrial modelling (total 45 credits). Finally, a dissertation (60 credits) is undertaken with supervision from a member of staff in the applied mathematics group with the possibility of co-supervision with an industrial sponsor.

Aims

The course aims to develop core skills in applied mathematics and allows students to specialise in industrial modelling or numerical analysis, in preparation for study towards a PhD or a career using mathematics within industry. An important element is the course regarding transferable skills which will link with academics and employers to deliver important skills for a successful transition to a research career or the industrial workplace.

Special features

The course features a transferable skills module, with guest lectures from industrial partners. Some dissertation projects and short internships will also be available with industry.

Teaching and learning

Students take eight taught modules and write a dissertation. The taught modules feature a variety of teaching methods, including lectures, coursework, and computing and modelling projects (both individually and in groups). The modules on Scientific Computing and Transferable Skills particularly involve significant project work. Modules are examined through both coursework and examinations.

Coursework and assessment

Assessment comprises course work, exams in January and May, followed by a dissertation carried out and written up between June and September. The dissertation counts for 60 credits of the 180 credits and is chosen from a range of available projects, including projects suggested by industrial partners.

Course unit details

CORE (75 credits)
1. Mathematical methods
2. Partial Differential Equations
3. Scientific Computing
4. Dynamical Systems
5. Transferrable skills for mathematicians

Industrial modelling pathway
1 Continuum mechanics
2. Stability theory
3. Conservation and transport laws

Numerical analysis pathway
1. Numerical linear algebra
2. Finite Elements
3. Optimization and variational calculus

Career opportunities

The programme will prepare students for a career in research (via entry into a PhD programme) or direct entry into industry. Possible subsequent PhD programmes would be those in mathematics, computer science, or one of the many science and engineering disciplines where applied mathematics is crucial. The programme develops many computational, analytical, and modelling skills, which are valued by a wide range of employers. Specialist skills in scientific computing are valued in the science, engineering, and financial sector.

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Mathematical finance is an area of applied mathematics where concepts and techniques that lie close to the heart of pure mathematics are applied routinely to solve a great variety of important practical problems arising in the day-to-day business of the world's financial institutions. Read more

About the course

Mathematical finance is an area of applied mathematics where concepts and techniques that lie close to the heart of pure mathematics are applied routinely to solve a great variety of important practical problems arising in the day-to-day business of the world's financial institutions.

The objective of the Brunel MSc in Financial Mathematics is to guide students through to a mastery of the sophisticated mathematical ideas underlying modern finance theory, along with the associated market structures and conventions, with emphasis on:

- The modelling of the dynamics of financial assets, both in equity markets and in fixed-income markets
- The pricing and hedging of options and other derivatives, and
- The quantification and management of financial risk.

Candidates are also provided with the means to master the numerical and computational skills necessary for the practical implementation of financial models, thus enabling you to put theory into practice and putting you in a good position to carry out work for a financial institution. We therefore offer a programme that provides a balanced mixture of advanced mathematics (including modern probability theory and stochastic calculus), modern finance theory (including models for derivatives, interest rates, foreign exchange, equities, commodities, and credit), and computational technique (GPU-based high-performance computing).

The MSc in Financial Mathematics offers a range of exciting modules during the Autumn and the Spring terms, followed by an individual research project leading to a dissertation that is completed during the Summer term.

Aims

Financial mathematics is a challenging subject, the methods of which are deployed by sophisticated practitioners in financial markets on a daily basis. It builds on the application of advanced concepts in modern probability theory to enable market professionals to tackle and systematically resolve a huge range of issues in the areas of pricing, hedging, risk management, and market regulation. The main objective of the Brunel MSc in Financial Mathematics is to provide candidates with the knowledge they need to be able to enter into this exciting new area of applied mathematics and to position themselves for the opportunity to work in financial markets.

Among the main distinguishing features of our programme are the following:

We aim to teach the key ideas in financial asset pricing theory from a thoroughly modern perspective, using concepts and methods such as pricing kernels, market information filtrations, and martingale techniques, as opposed say to the more traditional but old-fashioned approach based on the historical development of the subject.

In our programme candidates are asked at each stage to undertake a critical re-examination of the hypotheses implicit in any financial model, with a view to gaining a clear grasp of both its strengths and its limitations.

The programme includes courses on high-performance computing that provide candidates with the techniques whereby financial models can be implemented.

Course Content

Programme structure

The programme offers five "compulsory" modules, taken by all candidates, along with a variety of elective modules from which students can pick and choose. There are lectures, examinations and coursework in eight modules altogether, including the five compulsory modules. Additionally, all students complete an individual research project on a selected topic in financial mathematics, leading to the submission of a dissertation.

Compulsory modules:

Probability and stochastics
Financial markets
Option pricing theory
Interest rate theory
Financial computing I

Elective Modules:

Portfolio theory
Information in finance with application to credit risk management
Mathematical theory of dynamic asset pricing
Financial computing II
Statistics for Finance
Financial Mathematics Dissertation

Special Features

The Department of Mathematics, home to its acclaimed research centre CARISMA, has a long tradition of research and software development, in collaboration with various industry partners, in the general area of risk management.

The Department is a member of the London Graduate School in Mathematical Finance, which is a consortium of mathematical finance groups of Birkbeck College, Brunel University London, Imperial College London, King’s College London, London School of Economics, and University College London. There is a strong interaction between the financial mathematics groups of these institutions in the greater London area, from which graduates can benefit. In particular there are a number of research seminars that take place regularly throughout the year which students are welcome to attend.

Assessment

Assessment is by a combination of coursework, examination, and dissertation. Examinations are held in May. The MSc degree is awarded if the student reaches the necessary overall standard on the taught part of the course and submits a dissertation that is judged to be of the required standard. Specifically, to qualify for the MSc degree, the student must: (a) take examinations in eight modules including the four compulsory modules, (b) attain the minimum grade profile (or better) required for a Masters degree and (c) submit a dissertation of the required standard. If a student does not achieve the requirements for the degree of MSc, they may, if eligible, be awarded a Postgraduate Diploma.

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Take advantage of one of our 100 Master’s Scholarships or College of Science Postgraduate Scholarships to study Mathematics and Computing for Finance at Swansea University, the Times Good University Guide’s Welsh University of the Year 2017. Read more
Take advantage of one of our 100 Master’s Scholarships or College of Science Postgraduate Scholarships to study Mathematics and Computing for Finance at Swansea University, the Times Good University Guide’s Welsh University of the Year 2017. Postgraduate loans are also available to English and Welsh domiciled students. For more information on fees and funding please visit our website.

The MSc Mathematics and Computing for Finance course has been designed to meet the growing demand for specially trained mathematicians to work in the world’s financial markets and insurance.

Despite the current volatile nature of the banking industry, many banks still have a pressing need for employees with advanced mathematical skills who can further their understanding of turbulence in financial markets.

On the Mathematics and Computing for Finance course you will study different elements of both mathematics and computing in addition to developing your communication and presentational skills through a project you will undertake. As a student of the MSc in Mathematics and Computing for Finance programme you will be fully supported to ensure that your project is best suited to support your future career plans.

Aims of MSc in Mathematics and Computing for Finance

Have in depth knowledge in stochastic analysis and parts of advanced real analysis. (Fourier analysis and Partial Differential Equations) as well as parts of numerical analysis which are central for applications to finance.

Have developed advanced computing skills being essential for handling problems relevant for a job on the finance markets.

Have, as a mathematician, a good understanding of finance markets.

Have developed skills needed to work in a highly inter-disciplinary profession, including advanced programming techniques and communication skills across the borders.

Modules

Please visit our website for a full description of modules for the MSc Mathematics and Computing for Finance.

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, statistically 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.

Student profiles

"Further to my studies at Swansea University as a Master of Science graduate in Financial Mathematics, I am currently working at Deutsche Bank in London as part of the Structured Financial Services team providing client services for corporate lending and debt portfolios. The complex nature of the course has helped me become a logical decision maker and a highly skilled problem solver. These transferable skills are very useful in the world of Finance since the role is highly challenging working towards deadlines and structured transaction targets. My studies at Swansea University have also enriched me with leadership, motivational skills and have enhanced my communication skills. I work in a close team of 10 people within a large department which encourages a culture that strives towards learning and effective teamwork. I thoroughly enjoyed my time at Swansea University and cherish the many fond memories. I am so pleased to be expanding my horizon within a major financial centre."

Rhian Ivey, BSc Mathematics, MSc Mathematics and Computing for Finance

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Financial Mathematics is a branch of Mathematics where advanced mathematical and statistical methods are developed for and applied to financial markets and financial management. Read more

Overview

Financial Mathematics is a branch of Mathematics where advanced mathematical and statistical methods are developed for and applied to financial markets and financial management. Its main aims are to quantify and hedge risks in the financial marketplace.

Effective computational methods are crucial for the successful use of mathematical modelling in finance. The MSc in Financial and Computational Mathematics is designed to reflect this combination of knowledge and skills so that its graduates are well equipped to enter the competitive job markets of quantitative finance and related fields.

The course is focused on computational techniques and mathematical modelling used in the financial industry and on the required background in finance. The course is provided by the School of Mathematical Sciences with valuable input from the School of Economics. To ensure that the degree keeps pace with changes in employer expectations and employment opportunities, the course has its own advisory board which consists of leading experts from the financial industry and academia.

Key facts:

- The School of Mathematical Sciences is one of the largest and strongest mathematics departments in the UK, with over 60 full-time academic staff.
- In the latest independent Research Assessment Exercise, the school ranked 8th in the UK in terms of research power across the three subject areas within the School of Mathematical Sciences (pure mathematics, applied mathematics, statistics and operational research).
- In the last independent Teaching Quality Assessment, the School scored 23 out of 24.
- The course has its own advisory board (see below) consisting of leading experts from the financial industry and academia.
- The course is offered in collaboration with the School of Economics.

Module details

Core modules include: financial mathematics, advanced financial mathematics, scientific computing and c++, advanced scientific computing, financial mathematics dissertation.

Optional Stream 1 (Maths/Stats and Computing): Optimisation, Time Series and Forecasting, Statistical Foundations.

Optional Stream 2A: Econometic Theory, Financial and Macro Econometrics, Time Series Econometrics, Mathematics for Engineering Management, Game Theory.

Optional Stream 2B: Microeconomic Analysis, Financial Economics, Options and Futures Markets, Mathematics for Engineering Management, Game Theory.

English language requirements for international students

IELTS: 6.5 (with no less than 6.0 in any element)

Further information



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Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas. Read more
Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas.

You would be joining a vibrant research community of almost 100 postgraduate and postdoctoral researchers and academic staff. You have the opportunity to engage with a very wide range of research topics within a well-established system of support and training, with a high level of contact between staff and research students.

A very active research seminar programme further enhances the Mathematics research experience.

Visit the website https://www.kent.ac.uk/courses/postgraduate/149/mathematics

About the School of Mathematics, Statistics and Actuarial Science (SMSAS):

The School has a strong reputation for world-class research as indicated by our results in the latest Research Assessment Exercise (RAE). Postgraduate students develop analytical, communication and research skills. Developing computational skills and applying them to mathematical problems forms a significant part of the postgraduate training in the School.

The Mathematics Group at Kent ranked highly in the most recent RAE. With 100% of the Applied Mathematics Group submitted, all research outputs were judged to be of international quality and 12.5% was rated 4*. For the Pure Mathematics Group, a large proportion of the outputs demonstrated international excellence.

The Mathematics Group also has an excellent track record of winning research grants from the Engineering and Physical Sciences Research Council (EPSRC), the Royal Society, the EU, the London Mathematical Society and the Leverhulme Trust.

Study support

- Postgraduate resources

The University’s Templeman Library houses a comprehensive collection of books and research periodicals. Online access to a wide variety of journals is available through services such as ScienceDirect and SpringerLink. The School has licences for major numerical and computer algebra software packages. Postgraduates are provided with computers in shared offices in the School. The School has two dedicated terminal rooms for taught postgraduate students to use for lectures and self-study.

- Support

The School has a well-established system of support and training, with a high level of contact between staff and research students. There are two weekly seminar series: The Mathematics Colloquium at Kent attracts international speakers discussing recent advances in their subject; the Friday seminar series features in-house speakers and visitors talking about their latest work. These are supplemented by weekly discussion groups. The School is a member of the EPSRC-funded London Taught Course Centre for PhD students in the mathematical sciences, and students can participate in the courses and workshops offered by the Centre. The School offers conference grants to enable research students to present their work at national and international conferences.

- Dynamic publishing culture

Staff publish regularly and widely in journals, conference proceedings and books. Among others, they have recently contributed to: Advances in Mathematics; Algebra and Representation Theory; Journal of Physics A; Journal of Symbolic Computations; Journal of Topology and Analysis. Details of recently published books can be found within the staff research interests section.

- Researcher Development Programme

Kent's Graduate School co-ordinates the Researcher Development Programme (http://www.kent.ac.uk/graduateschool/skills/programmes/tstindex.html) for research students, which includes workshops focused on research, specialist and transferable skills. The programme is mapped to the national Researcher Development Framework and covers a diverse range of topics, including subjectspecific research skills, research management, personal effectiveness, communication skills, networking and teamworking, and career management skills.

Careers

A postgraduate degree in Mathematics is a flexible and valuable qualification that gives you a competitive advantage in a wide range of mathematically oriented careers. Our programmes enable you to develop the skills and capabilities that employers are looking for including problem-solving, independent thought, report-writing, project management, leadership skills, teamworking and good communication.

Many of our graduates have gone on to work in international organisations, the financial sector, and business. Others have found postgraduate research places at Kent and other universities.

Find out how to apply here - https://www.kent.ac.uk/courses/postgraduate/apply/

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This programme is designed for UK and international mathematics teachers and other professionals working in mathematics education, from primary schools to post-16 education. Read more
This programme is designed for UK and international mathematics teachers and other professionals working in mathematics education, from primary schools to post-16 education. You will be supported in integrating the theory and practice of teaching and learning mathematics by:
-Being an active researcher of your own and others' practice, including reworking your own practice.
-Carrying out small-scale research projects, one of which can act as a pilot project for the major work of your dissertation.
-Engaging with research literature, especially the current journals and activity of the International Group for the Psychology of Mathematics Education.
-Engaging with new developments in teaching and learning mathematics.
-Updating your mathematics.
-Writing assignments that show the emergence of a theoretical frame, presenting a literature search and developing ideas from a seminar.
-Becoming confident with presentation, argumentation, research and ICT skills.

The course has been recognised as excellent by the National Centre for Excellence in the Teaching of Mathematics.

Programme structure

Core units
-Introduction to Educational Inquiry
-Teaching and Learning in Mathematics
-Curriculum Design and Development in School Mathematics
-Children Learning Mathematics - School-based Inquiry
Optional units
-Students studying this programme will be able to take optional units from across the school, such as Subject Updating and Assessment in Schools.

Dissertation
You will also complete a 15,000-word dissertation.

Careers

We offer the academic and personal development opportunities to equip you for the intellectual, social and personal challenges that you will encounter during your career. Our overarching goal is to enable our graduates to display the following characteristics:
-Equipped to demonstrate impact, excellence and distinctiveness in their chosen field.
-Visionary, imaginative, innovative, reflective and creative.
-High ideals and values, including a strong sense of social justice.
-Highly employable throughout the world.
-Adaptable, with the potential to be a leader in work and in the community.

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The MSc Financial Mathematics programme enables graduates and professionals with a strong mathematics background to research, develop and apply quantitative and computational techniques to finance. Read more
The MSc Financial Mathematics programme enables graduates and professionals with a strong mathematics background to research, develop and apply quantitative and computational techniques to finance. It covers topics from classical options pricing to post-crisis investment and risk management. The Department of Mathematics has a superb reputation for research-led teaching and strong links to industry and our graduates are highly sought after.

Key benefits

- A rigorous approach to quantitative finance taught entirely by the Department of Mathematics.

- End-to-end coverage of the skills needed for working in the financial, actuarial or related industry: probability theory, optimisation, statistics and computer implementation.

- Unrivalled facilities, including access to live market data in our Bloomberg Data laboratory.

- A stone’s throw from the City of London's financial centre

- Full or part time study (most lectures given late afternoons)

Visit the website: http://www.kcl.ac.uk/study/postgraduate/taught-courses/financial-mathematics-msc.aspx

Course detail

- Description -

Financial mathematics plays a crucial role in all sectors of financial markets including fixed income, credit derivatives, pensions, insurances, energy and even bets on the weather. The application of mathematics has had a profound effect upon finance and has allowed the creation of entirely new markets for financial products.

The financial mathematics programme at King’s is unique in its emphasis upon mathematical rigour. It encompasses all the skills required for successful risk management, trading and research in quantitative finance: probability, statistics, optimisation, computing and financial markets. Our outstanding teaching is matched by outstanding facilities for the study and research of financial markets.

- Course purpose -

This programme is suitable for students or professionals with a strong mathematical background. It covers the principles and techniques of quantitative finance to prepare students for advanced work in the financial sector or research in mathematical finance.

- Course format and assessment -

At least eight taught modules assessed by written examinations and one individual project. Two prizes are normally awarded each year for best overall performance in the MSc in Financial Mathematics.

Career prospects

Our graduates are highly sought after by investment banks, corporate risk management units, insurance companies, fund management institutions, financial regulatory bodies, brokerage firms, and trading companies. Recent employers of our graduates include, Capital Investment, Credit Suisse, European Bank for Reconstruction & Development, Fitch Ratings, HSBC and Morgan & Stanley. Some graduates have pursued research degrees in financial mathematics.

How to apply: http://www.kcl.ac.uk/study/postgraduate/apply/taught-courses.aspx

About Postgraduate Study at King’s College London:

To study for a postgraduate degree at King’s College London is to study at the city’s most central university and at one of the top 20 universities worldwide (2015/16 QS World Rankings). Graduates will benefit from close connections with the UK’s professional, political, legal, commercial, scientific and cultural life, while the excellent reputation of our MA and MRes programmes ensures our postgraduate alumni are highly sought after by some of the world’s most prestigious employers. We provide graduates with skills that are highly valued in business, government, academia and the professions.

Scholarships & Funding:

All current PGT offer-holders and new PGT applicants are welcome to apply for the scholarships. For more information and to learn how to apply visit: http://www.kcl.ac.uk/study/pg/funding/sources

Free language tuition with the Modern Language Centre:

If you are studying for any postgraduate taught degree at King’s you can take a module from a choice of over 25 languages without any additional cost. Visit: http://www.kcl.ac.uk/mlc

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The Mathematics programme is aimed at individuals with a strong background in pure mathematics, applied mathematics or a closely related subject, typically with the intention of either (a) preparing you for further postgraduate studies, or (b) providing you with the necessary qualifications and skills for a future career in the private sector. Read more

MSc in Mathematics

• The Mathematics programme is aimed at individuals with a strong background in pure mathematics, applied mathematics or a closely related subject, typically with the intention of either (a) preparing you for further postgraduate studies, or (b) providing you with the necessary qualifications and skills for a future career in the private sector.

• Graduates of this programme might be seeking a career in mathematical research.

• This programme permits a wide range of advanced module choices across the School of Mathematics & Statistics.

• There are two semesters of taught courses, followed by a dissertation over the summer months.

• Most modules for the MSc in Mathematics are traditional semester-long lecture courses with end of semester exams, but some modules have a large element of continuous assessment.
• You have the possibility of enrolling into an Independent Study Module in either semester or into the Professional Skills for Mathematical Scientists module for the whole academic year. In both modules you self-study an advanced topic under the guidance of a member of staff. Both modules are assessed by continuous assessment.

Features

* Opportunities to work closely, and undertake project work, within a research group.

* Access to a wide range of advanced MMath courses across the entire spectrum of Mathematics and Statistics.

* The School is well equipped with personal computers and laptops, a parallel computer and an on-site library, and has attracted substantial amounts of external funding.

Careers

Our graduates hold positions at leading universities or companies in areas as diverse as business administration, computer science and modelling, fisheries laboratories and pure mathematics. In short, a postgraduate degree in mathematics or statistics from St Andrews opens the way for a variety of careers.
Our recent graduates at Masters and Doctoral level have, amongst other things:
• Moved on to postdoctoral studies.
• Joined the academic staff of leading UK and international universities.
• Found highly-paid positions in analysing futures/finance for large consulting firms and major financial institutions, for example: Scottish and Southern Energy, RBS, Capital One, Aquila Insight, Aviva, PwC, American Express, Goldman Sachs, Tesco Bank.
• Found rewarding and challenging positions in the computer industry.
• Found academically rewarding positions and careers in government agencies, including, for example, GCHQ.
• Joined government and non-governmental organisations to advise wildlife and conservation managers, including, for example, the Wildlife Conservation Society (WCS).
• Improved their mathematics qualifications, hence enhancing their positions and prospects in the secondary and tertiary education sectors.

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From geometry, analysis, partial differential equations and mathematical physics to fluid dynamics, meteorology and modelling in life sciences – our Masters in Mathematics offers you an extraordinary range of research opportunities that lie at the heart of tackling the key scientific questions of our age. Read more
From geometry, analysis, partial differential equations and mathematical physics to fluid dynamics, meteorology and modelling in life sciences – our Masters in Mathematics offers you an extraordinary range of research opportunities that lie at the heart of tackling the key scientific questions of our age.

PROGRAMME OVERVIEW

This programme reflects and benefits from the strong research activities of the Department of Mathematics.

The taught modules and dissertation topics are closely aligned with the interests of the Department’s four research groups:
-Mathematics of Life and Social Sciences
-Dynamical Systems and Partial Differential Equations
-Fields, Strings and Geometry
-Fluids, Meteorology and Symmetry

During the first two semesters you will take a range of taught modules from an extensive list of options, followed by an extended research project conducted over the summer under the supervision of a member of the department, culminating in the writing of a dissertation.

PROGRAMME STRUCTURE

This programme is studied full-time over one academic year. It consists of eight taught modules and a dissertation. The following modules are indicative, reflecting the information available at the time of publication. Please note that not all modules described are compulsory and may be subject to teaching availability and/or student demand.
-Maths of Weather
-Graphs and Networks
-Manifolds and Topology
-Quantum Mechanics
-Numerical Solutions of PDEs
-Functional Analysis and Partial Differential Equations
-Nonlinear Wave Equations
-Representation Theory
-Advanced Techniques in Mathematics
-Lie Algebras
-Nonlinear Patterns
-Geometric Mechanics
-Relativity
-Ecological and Epidemiological Modelling
-Mathematical Biology and Physiology
-Topology
-Non-Commutative Algebra
-Dissertation

CAREERS

Mathematics is not only central to science, technology and finance-related fields, but the logical insight, analytical skills and intellectual discipline gained from a mathematical education are highly sought after in a broad range of other areas such as law, business and management.

There is also a strong demand for new mathematics teachers to meet the ongoing shortage in schools.

As well as being designed to meet the needs of future employers, our MSc programme also provides a solid foundation from which to pursue further research in mathematics or one of the many areas to which mathematical ideas and techniques are applied.

EDUCATIONAL AIMS OF THE PROGRAMME

-To provide graduates with a strong background in advanced mathematical theory and its applications to the solution of real problems
-To develop students understanding of core areas in advanced mathematics including standard tools for the solution of real life applied mathematical problems
-To develop the skill of formulating a mathematical problem from a purely verbal description
-To develop the skill of writing a sophisticated mathematical report and, additionally, in presenting the results in the form of an oral presentation
-To lay a foundation for carrying out mathematical research leading to a research degree and/or a career as a professional mathematician in an academic or non-academic setting

PROGRAMME LEARNING OUTCOMES

Knowledge and understanding
-Knowledge of the core theory and methods of advanced pure and applied mathematics and how to apply that theory to real life problems
-An in-depth study of a specific problem arising in a research context

Intellectual / cognitive skills
-Ability to demonstrate knowledge of key techniques in advanced mathematics and to apply those techniques in problem solving
-Ability to formulate a mathematical description of a problem that may be described only verbally
-An understanding of possible shortcomings of mathematical descriptions of reality
-An ability to use software such as MATLAB and IT facilities more generally including research databases such as MathSciNet and Web of Knowledge

Professional practical skills
-Fluency in advanced mathematical theory
-The ability to interpret the results of the application of that theory
-An awareness of any weaknesses in the assumptions being made and of possible shortcomings with model predictions
-The skill of writing an extended and sophisticated mathematical report and of verbally summarising its content to specialist and/or non-specialist audiences

Key / transferable skills
-Ability to reason logically and creatively
-Effective oral presentation skills
-Written report writing skills
-Skills in independent learning
-Time management
-Use of information and technology

GLOBAL OPPORTUNITIES

We often give our students the opportunity to acquire international experience during their degrees by taking advantage of our exchange agreements with overseas universities.

In addition to the hugely enjoyable and satisfying experience, time spent abroad adds a distinctive element to your CV.

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This course covers a wide range of topics from both applied and applicable mathematics and is aimed at students who want to study the field in greater depth, in areas which are relevant to real life applications. Read more
This course covers a wide range of topics from both applied and applicable mathematics and is aimed at students who want to study the field in greater depth, in areas which are relevant to real life applications.

You will explore the mathematical techniques that are commonly used to solve problems in the real world, in particular in communication theory and in physics. As part of the course you will carry out an independent research investigation under the supervision of a member of staff. Popular dissertation topics chosen by students include projects in the areas of communication theory, mathematical physics, and financial mathematics.

The transferable skills gained on this course will open you up to a range of career options as well as provide a solid foundation for advanced research at PhD level.

See the website https://www.royalholloway.ac.uk/mathematics/coursefinder/mscmathematicsforapplications.aspx

Why choose this course?

- You will be provided with a solid mathematical foundation and knowledge and understanding of the subjects of cryptography and communications, preparing you for research or professional employment in this area.

- The Mathematics Department at Royal Holloway is well known for its expertise in information security and cryptography. The academics who teach on this course include several leading researchers in these areas.

- The mathematical foundations needed for applications in communication theory and cryptography are covered including Algebra, Combinatorics Complexity Theory/Algorithms and Number Theory.

- You will have the opportunity to carry out your dissertation project in a cutting-edge research area; our dissertation supervisors are experts in their fields who publish regularly in internationally competitive journals and there are several joint projects with industrial partners and Royal Holloway staff.

- After completing the course students have a good foundation for the next step of their career both inside and outside academia.

Department research and industry highlights

The members of the Mathematics Department cover a range of research areas. There are particularly strong groups in information security, number theory, quantum theory, group theory and combinatorics. The Information Security Group has particularly strong links to industry.

Course content and structure

You will study eight courses and complete a main project under the supervision of a member of staff.

Core courses:
Theory of Error-Correcting Codes
The aim of this unit is to provide you with an introduction to the theory of error-correcting codes employing the methods of elementary enumeration, linear algebra and finite fields.

Advanced Cipher Systems
Mathematical and security properties of both symmetric key cipher systems and public key cryptography are discussed, as well as methods for obtaining confidentiality and authentication.

Main project
The main project (dissertation) accounts for 25% of the assessment of the course and you will conduct this under the supervision of a member of academic staff.

Additional courses:
Applications of Field Theory
You will be introduced to some of the basic theory of field extensions, with special emphasis on applications in the context of finite fields.

Quantum Information Theory
‘Anybody who is not shocked by quantum theory has not understood it' (Niels Bohr). The aim of this unit is to provide you with a sufficient understanding of quantum theory in the spirit of the above quote. Many applications of the novel field of quantum information theory can be studied using undergraduate mathematics.

Network Algorithms
In this unit you will be introduced to the formal idea of an algorithm, when it is a good algorithm and techniques for constructing algorithms and checking that they work; explore connectivity and colourings of graphs, from an algorithmic perspective; and study how algebraic methods such as path algebras and cycle spaces may be used to solve network problems.

Advanced Financial Mathematics
In this unit you will investigate the validity of various linear and non-linear time series occurring in finance and extend the use of stochastic calculus to interest rate movements and credit rating;

Combinatorics
The aim of this unit is to introduce some standard techniques and concepts of combinatorics, including: methods of counting including the principle of inclusion and exclusion; generating functions; probabilistic methods; and permutations, Ramsey theory.

Computational Number Theory
You will be provided with an introduction to many major methods currently used for testing/proving primality and for the factorisation of composite integers. The course will develop the mathematical theory that underlies these methods, as well as describing the methods themselves.

Complexity Theory
Several classes of computational complexity are introduced. You will discuss how to recognise when different problems have different computational hardness, and be able to deduce cryptographic properties of related algorithms and protocols.

On completion of the course graduates will have:
- knowledge and understanding of: the principles of communication through noisy channels using coding theory; the principles of cryptography as a tool for securing data; and the role and limitations of mathematics in the solution of problems arising in the real world

- a high level of ability in subject-specific skills, such as algebra and number theory

- developed the capacity to synthesise information from a number of sources with critical awareness

- critically analysed the strengths and weaknesses of solutions to problems in applications of mathematics

- the ability to clearly formulate problems and express technical content and conclusions in written form

- personal skills of time management, self-motivation, flexibility and adaptability.

Assessment

Assessment is carried out by a variety of methods including coursework, examinations and a dissertation. The examinations in May/June count for 75% of the final average and the dissertation, which has to be submitted in September, counts for the remaining 25%.

Employability & career opportunities

Our students have gone on to successful careers in a variety of industries, such as information security, IT consultancy, banking and finance, higher education and telecommunication. In recent years our graduates have entered into roles including 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.

How to apply

Applications for entry to all our full-time postgraduate degrees can be made online https://www.royalholloway.ac.uk/studyhere/postgraduate/applying/howtoapply.aspx .

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