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Masters Degrees (Industrial Mathematics)

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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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The Master of Science in Industrial Ecology (IE) offers talented students from around the world the opportunity to enhance their expertise and work on the grand challenge to achieve global prosperity within the planetary boundaries. Read more

The Master of Science in Industrial Ecology (IE) offers talented students from around the world the opportunity to enhance their expertise and work on the grand challenge to achieve global prosperity within the planetary boundaries.

What does this master’s programme entail?

The master's programme Industrial Ecology is an emerging scientific discipline that takes a systemic approach to environmental problems. An interdisciplinary approach, integrating technical, environmental and social frames of reference, is essential for sustainable development. The Master in Industrial Ecology is a co-operation between Leiden University and Delft University of Technology. Both universities are at the forefront of the field of Industrial Ecology.

Read more about our Industrial Ecology programme.

Why study Industrial Ecology at Leiden University?

  • You will learn concepts such as industrial metabolism, industrial symbiosis, industrial evolution and life cycle thinking, in order to generate innovative solutions as a catalyst for change.
  • We offer an international multidisciplinary environment, where each student brings their own specific bachelor knowledge and cultural background. We believe that this multidisciplinary approach is the best way to move forward.
  • Collaboration with third parties, such as national or international partner universities, NGOs, industrial partners, or government institutes is encouraged and facilitated.
  • You will be inspired by professors from two world-class universities, who are at the forefront of the field of Industrial Ecology.

Find more reasons to study Industrial Ecology at Leiden University.

Industrial Ecology: the right master’s programme for you?

The programme is open to students from a wide range of studies in engineering, natural and social sciences. If you are an idealistic, ambitious and critical thinking student who is looking for the opportunity to enhance expertise and work on the grand challenges facing our world today, this master’s programme is the right choice.

Read more about the entry requirements for Industrial Ecology.



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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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This programme develops mathematical modelling skills and provides mathematical techniques required by industry. The period October to June is devoted to lectures, tutorials and practical sessions comprising the core modules. Read more
This programme develops mathematical modelling skills and provides mathematical techniques required by industry.

The period October to June is devoted to lectures, tutorials and practical sessions comprising the core modules.

This is followed by a period of about 14 weeks devoted to an individual project either in an industrial or engineering company or at the University.

Core study areas include mathematical modelling, regular and chaotic dynamics, programming and numerical methods, advanced reliability, availability and maintainability, elements of partial differential equations, static and dynamic optimisation and fluid mechanics.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/mathematics/industrial-maths-modelling/

Programme modules

Compulsory Modules:
Semester 1
- Mathematical Modelling I
- Regular and Chaotic Dynamics
- Programming and Numerical Methods
- Advanced Reliability, Availability and Maintainability

Semester 2
- Mathematical Modelling II
- Elements of Partial Differential Equations
- Static and Dynamic Optimisation
- Fluid Mechanics

Assessment

A combination of written examinations, reports, individual and group projects, and verbal presentations.

Careers and further Study

Graduate employment over a wide range of industries encompassing aerospace, automotive electronics, and computer interests as well as software houses, insurance companies, and research establishments and institutions.

Scholarships and sponsorships

A limited number of scholarships are available for this programme as well as the loyalty bonus scheme which reduces fees for Loughborough graduates.

Why choose mathematics at Loughborough?

Mathematics at Loughborough has a long history of innovation in teaching, and we have a firm research base with strengths in both pure and applied mathematics as well as mathematics education.

The Department comprises more than 34 academic staff, whose work is complemented and underpinned by senior visiting academics, research associates and a large support team.

The programmes on offer reflect our acknowledged strengths in pure and applied research in mathematics, and in some cases represent established collaborative training ventures with industrial partners.

- Mathematics Education Centre (MEC)
The Mathematics Education Centre (MEC) at Loughborough University is an internationally renowned centre of research, teaching, learning and support. It is a key player in many high-profile national initiatives.
With a growing number of academic staff and research students, the MEC provides a vibrant, supportive community with a wealth of experience upon which to draw.
We encourage inquiries from students who are interested in engaging in research into aspects of learning and teaching mathematics at Masters, PhD and Post Doc levels. Career prospects With 100% of our graduates in employment and/or further study six months after graduating, career prospects are excellent. Graduates go on to work with companies such as BAE Systems, Citigroup, Experian, GE Aviation, Mercedes Benz, Nuclear Labs USA and PwC.

- Career prospects
With 100% of our graduates in employment and/or further study six months after graduating, career prospects are excellent. Graduates
go on to work with companies such as BAE Systems, Citigroup, Experian, GE Aviation, Mercedes Benz, Nuclear Labs USA and PwC.

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/mathematics/industrial-maths-modelling/

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This programme trains you in the methods and techniques to apply mathematics to the real world, with a particular emphasis on problem solving and an exposure to different disciplines and industrial problems. Read more
This programme trains you in the methods and techniques to apply mathematics to the real world, with a particular emphasis on problem solving and an exposure to different disciplines and industrial problems.

The programme aims to provide innovative training in interdisciplinary applied mathematics and modern scientific computing. It links mathematics with engineering, biology and other sciences, and gives students direct contact with industry.

It develops an awareness of modern applications of mathematics in an interdisciplinary environment, provides training in mathematical methods, mathematical modelling, scientific computation and other applied techniques, and bridges the gap between theory and applications.

Why study Mathematical Sciences with us?

- Consistently ranked in the top ten of Mathematics league tables
- The most recent assessment of the quality of research being done in academic departments across the UK, (RAE 2008), confirms that our research activity is at the forefront of international excellence
- We have a fully-supported professional placement programme.

Visit the website http://www.bath.ac.uk/science/graduate-school/taught-programmes/msc-modern-application-of-mathematics/

What will I learn?

The MSc Modern Applications of Mathematics specialises in interdisciplinary applications of mathematics, notably in industry and mathematical biology. There is the possibility of a six month placement with industry.

The MSc combines a thorough education in core areas of applied mathematics with interdisciplinary training; there is a wide range of interdisciplinary units to choose from, ranging from astrophysics over cryptography to computational chemistry.

The theory elements will be developed in context, with the students doing an applications based project.

The MSc benefits strongly from close interactions with many industrial companies who come to meet the students and to offer projects. Recent project partners have included:

BAE systems
Airbus
the Met Office
SERCO
Schlumberger
BT
RHM Food Technology
QinetiQ
Hoare-Lea Acoustics

We offer a six month industrial placement as alternative to a three-month project, both leading to a dissertation.

This placement gives the opportunity to work in a company for an extended period of time and to gain in this way first-hand experience in industrial applications of mathematics. Several companies have funded places on offer.

For further information please visit our department pages (http://www.bath.ac.uk/math-sci/).

Career opportunities

Our graduates have gone on to further research in Lausanne, Berlin, Brussels, Frankfurt, and academic posts in Malaysia, Sweden, Germany, Canada, the US and in the UK. Recent employers of Bath graduates include:

British Aerospace
Network Rail
Powergen
Barclays Capital
BNP Paribas
Pfizer
AstraZenaca
MBDA UK Ltd
ATASS

Find out more about the department here - http://www.bath.ac.uk/math-sci/

Find out how to apply here - http://www.bath.ac.uk/science/graduate-school/taught-programmes/how-to-apply/

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A minimum GPA of 3.0 in all undergraduate coursework in mathematics. A letter of intent written by the applicant expressing professional goals as applied to the program. Read more
• A minimum GPA of 3.0 in all undergraduate coursework in mathematics.
• A letter of intent written by the applicant expressing professional goals as applied to the program.
• Submission of three letters of recommendation, using the required recommendation form. Two letters must be from mathematics faculty with whom the applicant has taken courses.
• Resume or curriculum vitae.

E-mail:
Phone: 315-267-2165

Visit http://www.potsdam.edu/graduate to view the full application checklist and online application

The Master of Arts program in Mathematics is designed to develop the student’s ability to work independently and to obtain basic knowledge in algebra, real and complex variables, and topology so that mathematics literature can be read with understanding and enjoyment. The successful completion of this program should prepare a student to enter a second-year doctoral program in mathematics, to begin a career as an industrial mathematician or as a faculty member at a junior or community college. Program start dates: Fall or Spring (in certain cases).

Required Program Courses
Minimum of 30 credit hours
MATH 661, Topology I ...................................................3 credits
MATH 671, Abstract Algebra I ..........................................3 credits
MATH 672, Abstract Algebra II .........................................3 credits
MATH 681, Complex Variables I .......................................3 credits
MATH 691, Real Variables I .............................................3 credits
MATH 698, Seminar .....................................................3 credits

One of the following:

MATH 662, Topology II ...............................................3 credits
MATH 682, Complex Variables II ...................................3 credits
MATH 692, Real Variables II ........................................3 credits
Mathematics Electives ..................................................9 credits

Success Stories

SUNY Potsdam Mathematics graduates are employed by com-panies such as Aetna, AT&T, IBM, General Electric, Kodak, the National Security Agency and Hewlett Packard. Others have received assistantships and fellowships at reputable universities, and many have earned Ph.D. degrees in mathematics or statistics.

Uniqueness of the Program

The MA Mathematics program develops rigorous mathematical thinking and offers a spectrum of well-taught courses in pure and theoretical mathematics.

Testimonials

"I was accepted to all but three Ph.D. programs I applied to. I feel very fortunate to be in this position, [with] so many great offers from excellent schools. I would recommend a stats program to any BA/MA student interested in furthering their education through a degree that’s not math as they’ll be highly qualified and prepared. That stance has only been further confirmed as I talk to faculty in different statistics departments." — Justin J. Raimondi, Class of 2014

"As a somewhat sheltered student through high school, I found that the mathematics faculty at SUNY Potsdam nurtured me carefully, providing the support I needed to develop confidence in the content area, and to deepen my love of mathematics. After graduating from the BA/MA program, I have taught successfully at the high school and college levels for nearly 30 years." —Donald C. Straight, Class of 1988

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

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

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

  • Algorithms and complexity theory
  • Numerical methods and parallel computing

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

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

Course content

It is expected that you will specialise in one of two areas during the course, although this is not essential.

The two strands are:

Algorithms and complexity theory and connections to logic and combinatorics

This concerns the efficiency of algorithms for solving computational problems, and identifies hierarchies of computational difficulty. This subject has applications in many areas, such as distributed computing, algorithmic tools to manage transport infrastructure, health informatics, artificial intelligence, and computational biology.

Numerical methods and parallel computing

Many problems, in mathematics, physics, astrophysics and biology cannot be solved using analytical techniques and require the application of numerical algorithms for progress. The development and optimisation of these algorithms coupled to the recent increase in computing power via the availability of massively parallel machines has led to great advances in many fields of computational mathematics. This subject has applications in many areas, such as combustion, lubrication, atmospheric dispersion, river and harbour flows, and many more.

For information on typical modules, read Mathematics and Computer Science MSc in the course catalogue

Learning and teaching

Teaching is carried out through a mixture of lectures and smaller group activities such as workshops. Most modules are assessed by a mix of coursework and written examinations. There is also the opportunity to complete a summer project which is individually supervised by a member of staff.

Assessment

The taught course is primarily assessed by end-of-semester examinations with a small component of continuous assessment. The semester three project is assessed by a written dissertation and a short oral presentation.

Career opportunities

Each of these areas offers many career options, and the MSc will provide you with both technical and transferrable skills, for example, conducting an extended and independent research project. It will also offer you excellent preparation for doctoral research in these or related subjects. On completion of the degree you can progress onto a wide range of opportunities including:

  • PhD in Mathematics, or in Computer Science
  • Careers in Computing and Industries which require algorithmic tools (transport infrastructure, health informatics, computational biology, artificial intelligence, companies developing the internet (e.g. search engines).
  • Many other careers (e.g. in Finance) where a mathematics background is valued.

In collaboration with both industrial and academic partners, our research has resulted in computational techniques, and software, that has been widely applied. Our industry links are extensive and include companies such as Google, Yahoo, Akamai, Microsoft, and Tracsis, as well as the NHS.

Careers support

We encourage you to prepare for your career from day one. That’s one of the reasons Leeds graduates are so sought after by employers.

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



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The Master's programme in Mathematics at Radboud University offers you a thorough theoretical training, while maintaining a clear perspective on concrete applications whenever appropriate. Read more

Mathematics in Nijmegen: From Applied Stochastics to Infinity-Categories

The Master's programme in Mathematics at Radboud University offers you a thorough theoretical training, while maintaining a clear perspective on concrete applications whenever appropriate. Its wide scope, which ranges from medical statistics to the mathematical foundations of computer science, physics and even mathematics itself, reflects the diversity of research at the Institute for Mathematics, Astrophysics and Particle Physics (IMAPP).
Mathematical research of course stands on its own, as is notably the case with the large group in algebraic topology led by Spinoza laureate Ieke Moerdijk. In addition, within IMAPP, researchers link with high-energy physics, including Higgs physics and quantum gravity. Outside IMAPP but within the Faculty of Science, there are close ties with the Institute for Computing and Information Sciences (ICIS) (think of logic and category theory) and outside the Faculty of Science (but within Radboud University) researchers at both the Donders Institute for Neurosciences and the University Medical Center collaborate with the applied stochastics group.

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

Specialisations within the Master's Programme in Mathematics

- Algebra & Topology
- Applied Stochastics
- Mathematical Physics
- Mathematical Foundations of Computer Science

Quality label

For the fourth time in a row, this programme was rated number one in the Netherlands in the Keuzegids Masters 2015 (Guide to Master's programmes).

Career prospects

Mathematicians are needed in all industries, including the industrial, banking, technology and service industry and also within management, consultancy and education. A Master’s in Mathematics will show prospective employers that you have perseverance, patience and an eye for detail as well as a high level of analytical and problem-solving skills.

Job positions

The skills learned during your Master’s will help you find jobs even in areas where your specialised mathematical knowledge may initially not seem very relevant. This makes your job opportunities very broad indeed and is why many graduates of a Master’s in Mathematics find work very quickly.

Possible careers for mathematicians include:
- Researcher (at research centres or within corporations)
- Teacher (at all levels from middle school to university)
- Risk model validator
- Consultant
- ICT developer / software developer
- Policy maker
- Analyst

- PhD positions
Radboud University annually has a few PhD positions for graduates of a Master’s in Mathematics. A substantial part of our students attain PhD positions, not just at Radboud University, but at universities all over the world.

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

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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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Whether it's the computers in our offices, the smartphones in our pockets, the electrics in our cars or the technology that enables us to monitor patients in critical care, software is at the heart of our society. Read more
Whether it's the computers in our offices, the smartphones in our pockets, the electrics in our cars or the technology that enables us to monitor patients in critical care, software is at the heart of our society. This MSc programme focuses on advanced theoretical and practical techniques in program design, and the management of software project risk.

This programme will:

-Teach you advanced techniques in program design
-Allow you to study key issues of interactive system design
-Teach you the mathematical foundations of software and the practical application of these techniques
-Focus on discovering ways of mitigating risk in large scale software engineering projects
-Enable you pursue roles in areas such as software design and engineering, web development, project management and IT consulting.
-We offer Industrial Experience options on all our full-time taught MSc programmes, which combine academic study with a one-year industrial placement between your taught modules and summer project. Taking the Industrial Experience option as part of your degree gives you a route to develop real-world, practical problem-solving skills gained through your programme of study in a professional context.

This can give you an important edge in the graduate job market. As a leading research School, we have excellent links with industry. We also employ dedicated staff to help you arrange your year in industry. The Industrial Experience programmes are highly competitive and attract the best students given the limited availability of placements. We are unable to guarantee all students secure an industrial placement, as our industrial partners conduct their own employment application and interview processes.

We have a new MSc Software Engineering and Security pathway to the MSc Software Engineering degree. If you are interested in this pathway you need to apply for the MSc Software Engineering programme and take the pre-requisite modules and then you would be able to graduate with the MSc Software Engineering and Security.

Security, authentication and identity management have grown substantially in importance in recent years, and there is significant demand in both the commercial and national/local government sectors for software engineers with a good grasp of these areas hence introducing a pathway in Security.

NB: Students will need to take and pass the following modules in order to be eligible for the pathway title MSc in Software Engineering with Security.

ECS726P - Security and Authentication (semester 2)

ECS760 - Distributed Systems and Security semester 2)

ECS715P - Program Specifications (semester 1)

ECS737P - Software Analysis and Verification (semester 2)

ECS738 - Bayesian Decision and Risk Analysis (semester 2)

Industrial Experience

The industrial placement currently takes place towards the end of the first year for a maximum of 12 months. It is the student’s responsibility to secure their placement, the school will offer guidance and support in finding and securing the placement but the onus is on the student to secure the job and arrange the details of the placement.

Currently if you are not able to secure a placement by the end of your second semester we will transfer you onto the 1 year FT taught programme without the Industrial Experience, this change would also be applied to any visa if you were here on a student visa.

The industrial placement consists of 8-12 months spent working with an appropriate employer in a role that relates directly to your field of study. The placement is currently undertaken between the taught component and the project. This will provide you with the opportunity to apply the key technical knowledge and skills that you have learnt in your taught modules, and will enable you to gain a better understanding of your own abilities, aptitudes, attitudes and employment potential. The module is only open to students enrolled on a programme of study with integrated placement.

If you do not secure a placement you will be transferred onto the 1 year FT programme.

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Whether it's the computers in our offices, the smartphones in our pockets, the electrics in our cars or the technology that enables us to monitor patients in critical care, software is at the heart of our society. Read more
Whether it's the computers in our offices, the smartphones in our pockets, the electrics in our cars or the technology that enables us to monitor patients in critical care, software is at the heart of our society. This MSc programme focuses on advanced theoretical and practical techniques in program design, and the management of software project risk.

This programme will:

-Teach you advanced techniques in program design
-Allow you to study key issues of interactive system design
-Teach you the mathematical foundations of software and the practical application of these techniques
-Focus on discovering ways of mitigating risk in large scale software engineering projects
-Enable you pursue roles in areas such as software design and engineering, web development, project management and IT consulting.
-We offer Industrial Experience options on all our full-time taught MSc programmes, which combine academic study with a one-year industrial placement between your taught modules and summer project. Taking the Industrial Experience option as part of your degree gives you a route to develop real-world, practical problem-solving skills gained through your programme of study in a professional context.

This can give you an important edge in the graduate job market. As a leading research School, we have excellent links with industry. We also employ dedicated staff to help you arrange your year in industry. The Industrial Experience programmes are highly competitive and attract the best students given the limited availability of placements. We are unable to guarantee all students secure an industrial placement, as our industrial partners conduct their own employment application and interview processes.

We have a new MSc Software Engineering and Security pathway to the MSc Software Engineering degree. If you are interested in this pathway you need to apply for the MSc Software Engineering programme and take the pre-requisite modules and then you would be able to graduate with the MSc Software Engineering and Security.

Security, authentication and identity management have grown substantially in importance in recent years, and there is significant demand in both the commercial and national/local government sectors for software engineers with a good grasp of these areas hence introducing a pathway in Security.

NB: Students will need to take and pass the following modules in order to be eligible for the pathway title MSc in Software Engineering with Security.

ECS726P - Security and Authentication (semester 2)

ECS760 - Distributed Systems and Security semester 2)

ECS715P - Program Specifications (semester 1)

ECS737P - Software Analysis and Verification (semester 2)

ECS738 - Bayesian Decision and Risk Analysis (semester 2)

Industrial Experience

The industrial placement currently takes place towards the end of the first year for a maximum of 12 months. It is the student’s responsibility to secure their placement, the school will offer guidance and support in finding and securing the placement but the onus is on the student to secure the job and arrange the details of the placement.

Currently if you are not able to secure a placement by the end of your second semester we will transfer you onto the 1 year FT taught programme without the Industrial Experience, this change would also be applied to any visa if you were here on a student visa.

The industrial placement consists of 8-12 months spent working with an appropriate employer in a role that relates directly to your field of study. The placement is currently undertaken between the taught component and the project. This will provide you with the opportunity to apply the key technical knowledge and skills that you have learnt in your taught modules, and will enable you to gain a better understanding of your own abilities, aptitudes, attitudes and employment potential. The module is only open to students enrolled on a programme of study with integrated placement.

If you do not secure a placement you will be transferred onto the 1 year FT programme.

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Why this course?. Civil engineering develops and improves facilities and services that society needs – from the supply of clean water and energy to the design and construction of roads, railways and stations. Read more

Why this course?

Civil engineering develops and improves facilities and services that society needs – from the supply of clean water and energy to the design and construction of roads, railways and stations. Solving problems of air, land and water pollution and protecting society against natural disasters are also important aspects of civil engineering.

Engineering graduates are in high demand from recruiting companies worldwide.

This 18-month MSc course has been designed to meet the needs of a broad range of engineering industries. As a Masters student, you’ll gain the specialist and generic skills necessary to lead future developments, with practical experience provided by the industrial placement.

The course has a significant design element based on the most up-to-date specialist design guidelines. This includes a major design project that integrates acquired knowledge and acts as a platform for structured self-learning.

This MSc in Civil Engineering with Industrial Placement is suitable for graduates with a background in any discipline of civil engineering. Applicants with a degree in environmental engineering, earth science, mathematics, physics and mechanical engineering may also be considered.

The MSc in Civil Engineering with Industrial Placement has three optional specialist streams:

- Structural Engineering & Project Management

- Geotechnical Engineering & Project Management

- Geoenvironmental Engineering & Project Management

- Civil Engineering with Water Engineering & Project Management

See the website https://www.strath.ac.uk/courses/postgraduatetaught/civilengineeringwithindustrialplacement/

Industrial placement

A wide range of companies, such as AECOM, ATKINS, CAPITA, CH2M HILL and ClimateXChange (Scotland’s Centre of Expertise on Climate Change), are offering placements exclusively for this MSc. A full list of companies can be provided upon request. The 8 to 12 weeks industrial placement will take place in the period from June to September.

You’ll study

You'll take the compulsory module Civil Engineering Design Projects. This module gives you the opportunity to work on real projects. You can choose between a renewable energy project or an industrial project. You’ll develop comprehensive and innovative designs that involve structural engineering, geotechnical engineering and water engineering, management, environmental and financial planning.

In additional to the industrial placement you'll also take the compulsory module Research Protocols for Science & Engineering which supports the dissertation project. You also have a wide choice of optional modules.

Following successful completion of the taught component, you’ll undertake a dissertation. If you’re on one of the specialist streams you’ll undertake a research project on a topic related to that stream. The dissertation can be linked to the industrial placement and worked on together with the industrial partner.

Facilities

In the Department of Civil & Environmental Engineering we’ve invested £6million in state-of-the-art laboratories which cover core areas of activity including:

- geomechanics

- microbiology

- analytical chemistry

- structural design

- Field investigation

We’re equipped with:

- nanoseismic systems for monitoring the mechanical evolution of soil and rock masses

- Electrical Resistivity Tomography systems to detect clay fissuring and ground water flow in earth-structures

- dielectric permittivity-based sensors to monitor water flow in the sub-surface environment

- Geomechanics Laboratory

We’re equipped with state-of-the art technologies for testing multiphase (unsaturated) porous geomaterials. These include:

- suction-controlled double-wall triaxial cells

pressure plates

- triaxial cells equipped with bender elements for dynamic testing

- image analysis unit to monitor soil specimen deformation

- instruments for measurement of pore-water tensile stress

- Mercury Intrusion Porosimeter and SEM for microstructure investigation

- Software and numerical modelling

You’ll have access to a wide range of software packages relevant to civil and geotechnical engineering applications, including:

- GEOSTUDIO suite (Slope, Seep, Sigma, Quake, Temp, CTran, Air and Vadose)

- ABAQUS finite element packages

- Ansys

- Autodesk Civil 3D

- Limit State

- Strand 7

- Talren 4

Accreditation

This degree is accredited as meeting the requirements for Further Learning for a Chartered Engineer (CEng) for candidates who have already acquired a partial CEng accredited undergraduate first degree.

Additional requirements

For candidates whose first language is not English, minimum standards of English proficiency are an IELTS score of 6.5. Applicants with slightly lower scores have the opportunity to attend the University's Pre-Sessional English classes to bring them up to the required level. Some exceptions to the above may apply to nationals of UKBA-approved Majority English Speaking countries.

Pre-Masters preparation course

The Pre-Masters Programme is a preparation course for international students (non EU/UK) who do not meet the entry requirements for a Masters degree at the University of Strathclyde. The Pre-Masters programme provides progression to a number of degree options

To find out more about the courses and opportunities on offer visit isc.strath.ac.uk or call today on +44 (0) 1273 339333 and discuss your education future. You can also complete the online application form. To ask a question please fill in the enquiry form and talk to one of our multi-lingual Student Enrolment Advisers today.

Learning & teaching

Some classes involve fieldtrips and/or lab work. For fieldtrips, you need to wear warm clothing, waterproof jacket/trousers and sturdy shoes/boots (e.g. hiking boots or non-slip wellington boots).

For lab work, you’ll need a lab coat. At the start of your course you’ll attend a two-day induction welcoming you to the department

Careers

High-calibre civil engineers are in demand throughout the world. As a graduate you'll have many different career options including:

- engineering consultancies, where the work normally involves planning and designing projects

- contractors, where you’ll be managing and overseeing works on-site

- working for utilities or local authorities

- working for large companies such as those within oil production, mining and power generation

How much will I earn?

As a contracting civil engineer the average graduate starting salary is around £23,500. With five years' experience this could rise to £28,523*.

*Information is intended only as a guide.

Find information on Scholarships here http://www.strath.ac.uk/search/scholarships/index.jsp



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Why does one car have more air resistance than another? How can a satellite be kept in an orbit around the earth? Applied mathematicians provide the necessary theoretical background to such questions. Read more
Why does one car have more air resistance than another? How can a satellite be kept in an orbit around the earth? Applied mathematicians provide the necessary theoretical background to such questions.

Applied Mathematics is concerned with the development and exploitation of mathematical tools for the analysis and control of technological problems. Mathematical modelling of the problem at hand plays a basic role, followed by (numerical) analysis and (computer) simulation. Interaction with other disciplines and with specialists in the fields of application is essential.

Two specialisations

- Systems and control
This specialisation deals with the mathematics behind designing stable controllers for satellites, purification plants or more general technical processes. Questions that arise include: is it possible to suppress perturbations in a system? Or, how can one stabilize and control a system without causing shocks?

- Computational science and numerical mathematics
This specialisation emphasizes modelling, analysis and the simulation of fluid flow problems. Although the applications can be quite diverse, the basic mathematical methods are much the same. If you are capable of computing the flow of air, you are able to predict the weather, and to design cars and aeroplanes. People who can simulate the flow of water can compute the optimal shape of ships, harbours and dikes.

Why in Groningen?

- Typical for Applied Mathematic in Groningen: the connection between mathematical theory and real-life problems
- You can combine courses from both Mathematics and Applied Mathematics
- Courses include related fields, e.g. Econometrics and Physics
- Internship and research opportunities

Job perspectives

A Master's degree in Applied Mathematics opens up many job opportunities. During the Master's programme you will learn to think in a logical, systematic, and problem-oriented way in a multidisciplinary environment. After having finished the programme you will be able to apply mathematics to a technical problem, and hence to work at the interface between theory and practice. These qualities are highly appreciated by employers.

Job opportunities are available in industrial companies, research institutes, as well as in universities. Examples of companies looking for applied mathematicians include Gasunie, Philips, Stork, Shell, Corus, KPN and small engineering bureaus. Examples of research institutes are the National Aerospace Laboratory (NLR, the picture on these pages comes from the NLR), WL/Delft Hydraulics, KNMI and TNO.You can start a university career by working as a PhD student, which means working for four years on a research project and writing a thesis. After having successfully defended this thesis, you will be awarded a PhD degree. Afterwards you can continue an academic career or start a career in industry.

Job examples

- Research institutes
- Engineering bureaus
- Industrial companies
- Universities

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ISMM is very different to any other academic course. it combines traditional teaching material with a series of industrial visits, some of which will take place overseas. Read more
ISMM is very different to any other academic course: it combines traditional teaching material with a series of industrial visits, some of which will take place overseas. The course members work a full industrial week and conform to business dress codes. This intensive, practical programme gives direct experience of many different industries, cultures and working environments, and the projects present real challenges in genuine industrial and business environments. The aim of the course is to equip numerate graduates with the skills, personal development and industrial experience to be immediately effective in their early careers in industry.

ISMM will broaden your perspective and experience and open the door to a wide range of industrial careers. Many blue chip companies recognise the value of the course and target our graduates. Equally, for those who want to work in a smaller company, ISMM gives the confidence to start directly in a manufacturing engineering or management role. Those with entrepreneurial flair go on to set up their own companies.

The programme is structured around taught modules, company visits and in-company projects solving live business or technical problems. An overseas study tour offers a broader international context and the individual research thesis allows greater depth of study in a specific area of manufacturing.

See the website http://www.graduate.study.cam.ac.uk/courses/directory/egegmpimm

Course detail

During the year you will acquire a working understanding of the fundamentals of a business enterprise, with a particular emphasis on manufacturing disciplines. You will visit up to forty companies, large and small, chosen to cover all industrial sectors; you will absorb the different cultures and learn to identify strengths and weaknesses. By the end of the course you will be in a perfect position to choose your career direction.

Skills acquired during the course include:

- critical analysis;
- creativity – the generation of innovative solutions;
- evaluation of designs, processes and products;
- balancing theory and practice;
- problem identification, definition and solution;
- data gathering, evaluation and analysis;
- effective communication written, verbal and graphic;
- preparation of business and finance cases;
- presentation preparation and delivery;
- project management;
- report writing;
- a 'can do' attitude;
- teamworking;
- appreciating the responsibilities of leadership

Format

Teaching is delivered through a variety of media. During Cambridge termtimes, there will be traditional academic lectures and interactive seminars; the dissertation is based in one of the Institute for Manufacturing's research groups and will involve normal graduate-level supervision. However, much of the learning during the course takes place during the industrial visits (of which there are approximately forty annually), and on the projects themselves. During the projects, students can expect to receive substantial 'supervisory' feedback from their line managers and colleagues. Academic assessment of the course is split into three components: examinations on module material; assessment of project reports; examination of the dissertation.

Placements

In addition to the series of industrial visits, students will undertake four two-week industrial placements over the course of the programme. During this time they will be working on live business/technical issues relevant to the company, and will be treated as an employee. These placements will terminate in a presentation to the Senior Management of the company, and in the writing of a handover report that will be examined as part of the course assessment.

Assessment

All students will be required to write a dissertation of no greater than 15,000 words. Achieving a passing mark on this dissertation is a precondition for obtaining the degree.

All students are required to write four project reports, each of which will be based on two weeks of project work on an issue relevant to a host company.

Four taught modules will be assessed through written assessments under timed conditions.
At the discretion of the Examiners, candidates may be required to take an additional oral examination on the work submitted during the course, and on the general field of knowledge within which it falls.

Students can expect to receive reports at least termly on the Cambridge Graduate Supervision Reporting System. They will have access to a University supervisor for their dissertation, and can expect to receive input from their line managers during project placements.

Continuing

The MPhil is a professional practice programme and is not specifically designed to lead on to doctoral research. Nevertheless, students wishing to apply for continuation to a PhD in Engineering at Cambridge would normally be expected to attain an overall mark of at least 70%.

How to apply: http://www.graduate.study.cam.ac.uk/applying

Funding Opportunities

Bursaries are available to two categories of applicant.

Category A: Bursaries of between £1,200 and £1,800 are available to successful applicants who either (i) have UK citizenship; or (ii) have settled status in the UK, and have been ordinarily resident in the UK and Islands (for a purpose other than full-time education) for the three years prior to the 1 September immediately preceding the course.

Category B: Successful applicants who have secured sufficient funding from studentship providers to cover the standard University Composition Fee rate, but not the additional cost, may receive a bursary to cover the discrepancy.

All eligible applicants will be considered for bursaries. Students in Category B may wish to contact the course email to ensure that their situation is noticed.

General Funding Opportunities http://www.graduate.study.cam.ac.uk/finance/funding

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This highly focused MSc explores some of the mathematics behind modern secure information and communications systems, specialising in mathematics relevant for public key cryptography, coding theory and information theory. Read more
This highly focused MSc explores some of the mathematics behind modern secure information and communications systems, specialising in mathematics relevant for public key cryptography, coding theory and information theory. During the course critical awareness of problems in information transmission, data compression and cryptography is raised, and the mathematical techniques which are commonly used to solve these problems are explored.

The Mathematics Department at Royal Holloway is well known for its expertise in information security and cryptography and our academic staff include several leading researchers in these areas. Students on the programme have the opportunity to carry out their dissertation projects in cutting-edge research areas and to be supervised by experts.

The transferable skills gained during the MSc will open up 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/mscmathematicsofcryptographyandcommunications(msc).aspx

Why choose this course?

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

- 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 former 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 as well as complete a main project under the supervision of a member of staff.

Core courses:
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.

Channels
In this unit, you will investigate the problems of data compression and information transmission in both noiseless and noisy environments.

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.

Public Key Cryptography
This course introduces some of the mathematical ideas essential for an understanding of public key cryptography, such as discrete logarithms, lattices and elliptic curves. Several important public key cryptosystems are studied, such as RSA, Rabin, ElGamal Encryption, Schnorr signatures; and modern notions of security and attack models for public key cryptosystems are discussed.

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:
- a suitable mathematical foundation for undertaking research or professional employment in cryptography and/or communications

- the appropriate background in information theory and coding theory enabling them to understand and be able to apply the theory of communication through noisy channels

- the appropriate background in algebra and number theory to develop an understanding of modern public key cryptosystems

- a critical awareness of problems in information transmission and data compression, and the mathematical techniques which are commonly used to solve these problems

- a critical awareness of problems in cryptography and the mathematical techniques which are commonly used to provide solutions to these problems

- a range of transferable skills including familiarity with a computer algebra package, experience with independent research and managing the writing of a dissertation.

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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