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Mathematics×

Masters Degrees in Mathematical Methods

We have 54 Masters Degrees in Mathematical Methods

Masters degrees in Mathematical Methods involve advanced study of the specific techniques associated with solving mathematical problems.

Related subjects include Statistics and Operational Research. Entry requirements usually include an undergraduate degree in a relevant Mathematics discipline.

Why study a Masters in Mathematical Methods?

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This one-year master's course provides training in the application of mathematics to a wide range of problems in science and technology. Read more

This one-year master's course provides training in the application of mathematics to a wide range of problems in science and technology. Emphasis is placed on the formulation of problems, on the analytical and numerical techniques for a solution and the computation of useful results.

By the end of the course students should be able to formulate a well posed problem in mathematical terms from a possibly sketchy verbal description, carry out appropriate mathematical analysis, select or develop an appropriate numerical method, write a computer program which gives sensible answers to the problem, and present and interpret these results for a possible client. Particular emphasis is placed on the need for all these parts in the problem solving process, and on the fact that they frequently interact and cannot be carried out sequentially.

The course consists of both taught courses and a dissertation. To complete the course you must complete 13 units.

There are four core courses which you must complete (one unit each), which each usually consist of 24 lectures, classes and an examination. There is one course on mathematical methods and one on numerical analysis in both Michaelmas term and Hilary term. Each course is assessed by written examination in Week 0 of the following term.

Additionally, you must choose at least least one special topic in the area of modelling and one in computation (one unit each). There are around twenty special topics to choose from, spread over all three academic terms, each usually consisting for 12 to 16 lectures and a mini project, which culminates in a written report of around 20 pages. Topics covered include mathematical biology, fluid mechanics, perturbation methods, numerical solution of differential equations and scientific programming. 

You must also undertake at least one case study in modelling and one in scientific computing (one unit each), normally consisting of four weeks of group work, an oral presentation and a report delivered in Hilary term.

There is also a dissertation (four units) of around 50 pages, which does not necessarily need to represent original ideas. Since there is another MSc focussed on mathematical finance specifically, the MSc in Mathematical and Computational Finance, you are not permitted to undertake a dissertation in this field.

You will normally accumulate four units in core courses, three units in special topics, two units in case studies and four units in the dissertation. In addition, you will usually attend classes in mathematical modelling, practical numerical analysis and additional skills during Michaelmas term.

In the first term, students should expect their weekly schedule to consist of around seven hours of core course lectures and seven hours of modelling, practical numerical analysis and additional skills classes, then a further two hours of lectures for each special topic course followed. In addition there are about three hours of problem solving classes to go through core course exercises and students should expect to spend time working through the exercises then submitting them for marking prior to the class. There are slightly fewer contact hours in the second term, but students will spend more time working in groups on the case studies.

In the third term there are some special topic courses, including one week intensive computing courses, but the expectation is that students will spend most of the third term and long vacation working on their dissertations. During this time, students should expect to work hours that are equivalent to full-time working hours, although extra hours may occasionally be needed. Students are expected to write special topic and case study reports during the Christmas and Easter vacations, as well as revising for the core course written examinations.



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Businesses, organisations, and individuals all strive to work as effectively as possible. Operational research uses advanced statistical and analytical methods to help improve the complex decision-making processes to deliver a product or service. Read more
Businesses, organisations, and individuals all strive to work as effectively as possible. Operational research uses advanced statistical and analytical methods to help improve the complex decision-making processes to deliver a product or service. Working in this field, you might be identifying future needs for a business, evaluating the time-life value of a customer, or carrying out computer simulations for airlines.

Our MSc Statistics and Operational Research will appeal if your first degree included mathematics as its major subject, and we expect you to have prior knowledge of statistics – for example significance testing or basic statistical distributions – and operational research such as linear programming.

You specialise in areas including:
-Continuous and discrete optimisation
-Time series econometrics
-Heuristic computation
-Experimental design
-Machine learning
-Linear models

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

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

This course can also be studied to a PGDip level - for more information, please view this web-page: http://www.essex.ac.uk/courses/details.aspx?mastercourse=PG00808&subgroup=2

Our expert staff

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

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

Specialist facilities

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

Your future

Our MSc Statistics and Operational Research will equip you with employability skills like problem solving, analytical reasoning, data analysis, and mathematical modelling, as well as training you in independent work, presentation and writing skills.

Your exposure to current active research areas, such as decomposition algorithms on our module, Combinatorial Optimisation, prepares you for further study at doctoral level. Graduates of this course now hold key positions in government, business and academia.

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

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

Example structure

-Nonlinear Programming
-Combinatorial Optimisation
-Modelling Experimental Data (optional)
-Statistical Methods (optional)
-Stochastic Processes (optional)
-Applied Statistics (optional)
-Bayesian Computational Statistics
-Research Methods
-Dissertation
-Ordinary Differential Equations (optional)
-Graph Theory (optional)
-Partial Differential Equations (optional)
-Portfolio Management (optional)
-Machine Learning and Data Mining (optional)
-Evolutionary Computation and Genetic Programming (optional)
-Time Series Econometrics (optional)
-Panel Data Methods (optional)
-Applications of Data Analysis (optional)
-Mathematical Research Techniques Using Matlab (optional)

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The part-time MSc in Mathematical Finance aims to develop your mathematical modelling, data analysis and computational skills as applied to finance, without the need to take time out of your career to study. . Read more

The part-time MSc in Mathematical Finance aims to develop your mathematical modelling, data analysis and computational skills as applied to finance, without the need to take time out of your career to study. 

Incorporating concepts from applied and pure mathematics, statistics, computing and corporate finance, the course gives you a broad intellectual perspective and covers, from fundamentals to the latest research, the most important aspects of quantitative finance currently in use in the finance industry.

The course:

  • is delivered in a series of intensive week-long modules based in Oxford, so that time away from work is kept to a minimum; 
  • allows you to choose advanced modules based on, and write an academic dissertation in, an area of relevance to your career;
  • regularly updates its content to reflect the ever-changing industry and keep the material relevant;
  • is taught by a panel of world-leading academics and industrial practitioners; and

It is possible to exit the course early and be awarded the Postgraduate Diploma in Mathematical Finance, should work pressures intervene before it is possible to write a dissertation.

In order to complete the MSc each student must attend and be assessed on four core modules, three advanced modules and to submit a dissertation. Students are expected to take seven terms (28 months) to complete the course. 

Modules are taught through a series of lectures, practical sessions, guided reading, guest lectures and course assignments. 

The core modules cover the mathematical foundations of probability, statistics and partial differential equations, stochastic calculus and martingale theory, portfolio theory, the Black-Scholes model and extensions, numerical methods (finite differences and Monte Carlo), interest rate modelling, stochastic optimisation, exotic derivatives and stochastic volatility. MATLAB and Python are used as a practical computing languages.

Attendance at the four core modules is compulsory. For each module there is an assignment for which feedback and an indicative mark is given to assist you in improving your future performance. Assessment for these compulsory modules consists of two two-hour written examinations held in September of the first year.

Each of the advanced modules explores a key area in contemporary mathematical finance. The programme of advanced modules is published in July each year, and you will be asked to register your choice of three modules. Attendance at these three assessed modules is compulsory. Advanced modules will be assessed by short ‘special project’ reports, each submitted on a subject chosen by you that is covered in the module.

You will complete a dissertation on a topic chosen in consultation with your supervisor and the Course Director.



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

About the programme

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

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

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

Programme syllabus

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

1)   Algebra, Geometry and Cryptography

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

2)   Mathematical Logic and Discrete Mathematics

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

3)   Analysis, Numerics and Approximation Theory

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

4) Dynamical Systems and Optimisation

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

5) Stochastics, Statistics

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

6) Data Analysis and Data Management and Programming

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

7) Applications

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

8) Key Competencies and Language Training

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



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Do you have an aptitude and passion for mathematics and statistics, a keen interest in finance and insurance and want to work for a major financial organisation in finance, insurance or the money market? This course will provide you with a deep understanding of the world of finance, and give you the ability to speak its 'language'. Read more
Do you have an aptitude and passion for mathematics and statistics, a keen interest in finance and insurance and want to work for a major financial organisation in finance, insurance or the money market? This course will provide you with a deep understanding of the world of finance, and give you the ability to speak its 'language'. This course combines theory with hands-on practical skills via an industry placement or research project – ensuring you graduate with the right skills increasingly being sought by banks and other financial institutions.

The Master of Financial Mathematics offers advanced training in the core areas of stochastic, financial and insurance modelling, statistical analysis and computational methodology, as well as in a wide range of elective topics from economics, econometrics, finance, mathematics and probability.

Graduates of this course are likely to enter specialist careers in research departments within banks, insurance and consultancy firms or derivatives of valuation and portfolio management within investment houses.

The School of Mathematical Sciences sits within the leading Faculty of Science at Monash University. This vibrant, dynamic and successful School is undergoing a period of growth with the appointment of several new senior academic staff including Professor Gregoire Loeper, Course Director for the Masters of Financial Mathematics. With mathematics as the fundamental underpinning of so many subject areas, sectors and disciplines, the School is also building ever stronger collaborations with relevant industries, including the financial sector.

Visit the website http://www.study.monash/courses/find-a-course/2016/financial-mathematics-s6001?domestic=true

Course Structure

The course is structured in three Parts. Part A. Orientation studies, Part B. Specialist studies, Part C. Applied professional practice. All students complete Part B. Depending upon prior qualifications, you may receive credit for Part A or Part C or a combination of the two.

Part A. Orientation studies
These studies provide an orientation to the field of Financial Mathematics. You will choose studies that complement your current knowledge relevant to financial mathematics, including principles of econometrics, mathematical methods and stochastic processes.

Part B. Specialist studies
These studies will provide you with advanced knowledge and skills relevant to thoughtful, innovative and evidence-based practice in financial modelling and analysis. You will acquire core knowledge of and skills in financial econometrics, and advanced mathematical modelling and computational methods in finance. You will complement these with study in areas of your choice, including interest rate modelling, Markov processes, statistical learning in finance, and global financial markets.

Part C. Applied professional practice
These studies will provide you with the opportunity to apply your knowledge skills developed in Part A and B to "real life" problems, through completing an industry project or an industry internship. Students admitted to the course who have a recognised honours degree or graduate diploma or graduate certificate in a cognate discipline including mathematics or statistics, will receive credit for this part however, should they wish to complete a 24 point research project as part of Part B they should consult with the course convenor.

For more information visit the faculty website - http://www.study.monash/media/links/faculty-websites/science

About Mathematical Sciences

The School of Mathematical Sciences at Monash University is leading the way towards finding effective solutions to some of society's most pressing problems. Maths is the language of science and forms the basis of most of modern science and engineering. Our enthusiastic mathematicians love finding the true magic and beauty in maths and subsequently pass this passion on to their students.

Teaching

Studying maths equips you with a range of valuable, unique skills. Some of the exciting areas mathematicians at Monash are working on include mathematical modelling to predict behaviour, analysis using pure maths, and stochastic processes involving risk, randomness and change.

Mathematics and statistics are also the two cornerstones for decision making and various quantitative activities in commerce, industry, education and defence. From direct and daily experience, most companies and organisations have realised that success depends critically on the level of analytical, quantitative and statistical skills of their workforce and they therefore seek employees with a sound mathematical training.

By studying mathematics at Monash, you will also develop general skills in problem-solving, critical thinking, modelling, learning, analysis, research and creativity, which can be used wherever your career may take you.

Research

The School of Mathematical Sciences focuses on these main areas of research:

- Applied and Computational Mathematics
- Pure Mathematics
- Stochastic Processes

Find out how to apply here - http://www.study.monash/courses/find-a-course/2016/financial-mathematics-s6001?domestic=true#making-the-application

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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.

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Train in the methods and techniques needed to apply mathematics to the real world. Gain exposure to different disciplines and industries. Read more

Train in the methods and techniques needed to apply mathematics to the real world. Gain exposure to different disciplines and industries.

You’ll study interdisciplinary applied mathematics and modern scientific computing, with an emphasis on problem solving. You will gain an understanding of different disciplines and industrial problems. The course links mathematics with engineering, biology and other sciences, and gives students direct contact with industry.

You will develop an awareness of modern applications of mathematics in an interdisciplinary environment. You will get professional level training in mathematical methods, mathematical modelling, scientific computation and other applied techniques, combining both theory and applications.

The course specialises in interdisciplinary applications of mathematics, notably in industry and mathematical biology. You’ll have the opportunity to choose from a wide scope of interdisciplinary units, ranging from astrophysics over cryptography to computational chemistry.

You can choose to do a three month project which can be linked to industry or a six month work placement with a company. The placement route offers a chance to experience first-hand how mathematics can be applied in industry.

You will benefit from the close interactions that the department has with many industrial companies, who come and work with students and help to run projects.

Our graduates have gone on to further research in Lausanne, Berlin, Brussels, Frankfurt, and have taken up academic posts in Malaysia, Sweden, Germany, Canada, US and in the UK.

Recent employers of Bath graduates include British Aerospace, Network Rail, Pfizer, Barclays Capital and Powergen.

Why study Mathematical Sciences with us?

- In the 2014 Research Excellence Framework (REF), 88% of our research in all areas (Pure and Applied Mathematics, Statistics and Probability) was rated world leading/internationally excellent. The results of REF 2014 confirm the excellence of the research carried out in the Department of Mathematical Sciences.

- 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.

- The National Student Survey 2016 - 91% satisfaction with Mathematical Sciences.

Visit the website http://www.bath.ac.uk/courses/postgraduate-2018/taught-postgraduate-master-s-courses/msc-modern-applications-of-mathematics/

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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-Are you looking for a solid training in microeconomic and macroeconomic principles as well as quantitative methods?. -Are you interested in how applied and policy-oriented research of economic data has relevance for real-world economists?. Read more
-Are you looking for a solid training in microeconomic and macroeconomic principles as well as quantitative methods?
-Are you interested in how applied and policy-oriented research of economic data has relevance for real-world economists?
-Are you focused on a career after your masters or would like to meet the entry requirements of our more advanced MSc in Economics?

Manchester is a leading centre for economics and research-led teaching. Graduate students from across the globe come to study economics at Manchester, attracted by its first-class postgraduate training and supervision in the core and specialist areas of economics.

Many famous names from the world of economics have worked here at Manchester, including three Nobel Prize winners. Interdisciplinary study is also actively pursued here with many course units involving a number of different Schools at the university.

The Economics MA course is designed to meet the growing demand for those students who seek a degree that combines a solid training in microeconomic and macroeconomic principles with quantitative methods and research informed applied economics units.

This course is clearly different from the existing MSc Economics courses at Manchester because of its focus on mainstream but less theoretical units that need to be completed.

Students who choose the Economics MA will take compulsory courses in both Microeconomics and Macroeconomics; they will further advance their quantitative skills and techniques in the core courses in Introduction to Econometrics, Mathematical Methods in Economic Analysis and Further Econometrics; and, as part of their MA dissertation, they will focus on applied and/or policy-oriented research of economic data as relevant to policy makers and economics professionals.

The programme suits students who are interested in a career straight after the MA and not those students interested in postgraduate research. The latter group may find our MSc Economics more appropriate.

Aims

-Provide instruction and rigorous training in economics and the relevant methods of mathematical economics and econometrics research in this area
-Develop your powers of inquiry, critical analysis and logical thinking, and your ability to apply theoretical knowledge to current issues of policy and practice in economics
-Encourage initiative, independent learning, awareness of analytical and theoretical approaches in the field of economics, exposure to recent research and the state-of-the-art tools in applied work in economics
-Train you in research methods and core skills in microeconomics, macroeconomics, econometrics, mathematical economics, problem-solving, written and oral expression, communication and presentation skills
-Equip you with the intellectual apparatus and practical skills necessary for an economist working in private or public organisations
-Enable you to apply advanced research skills to a relevant research area either in economics, via course units and a dissertation

Career opportunities

The demand for economists continues to grow worldwide. This demand exists across a host of institutions ranging from the public sector (like universities, central banks, international organisations) to the private sector (commercial banks and insurance providers).
With the range of applied economics skills provided in the MA Economics students are perfectly place to seek a career in business and place themselves ahead of competition. At the same time this degree is ideal for students who seek further education via MSc-research degrees across the UK and the world

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

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

As an MSc by Research in Mathematics student you will be guided by internationally leading researchers and will carry out a large individual research project.

You will be fully integrated into one of our established research groups and participate in research activities such as seminars, workshops, laboratories, and field work.

Key Features

Swansea is a research-led University and the Mathematics Department makes a significant contribution, meaning that as a postgraduate Mathematics student you will benefit from the knowledge and skills of internationally renowned academics.

In the Department of Mathematics at Swansea you will find friendly teaching staff that are fully committed to providing you with a supportive teaching and learning environment. This includes outstanding student support.

All postgraduate Mathematics programmes at Swansea will equip you with skills relevant for a rewarding career in a range of diverse fields. You will also further develop your communication, presentation and analytical skills.

The Mathematics Department’s research groups include:

Algebra and Topology Group

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

Analysis and Nonlinear Partial Differential Equations Group

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

Stochastic Analysis Group

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

Mathematical Methods in Biology and Life Sciences Group

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

Employability

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

Facilities

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

The main university library, the Learning and Information Centre (LIC), contains a notably extensive collection of mathematics books.

As part of our expansion, we are building the Computational Foundry on our Bay Campus for computer and mathematical sciences. This development is exciting news for Swansea Mathematics who are part of the vibrant and growing community of world-class research leaders drawn from computer and mathematical sciences.

Research

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

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



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This programme introduces you to the methods of statistical analysis, together with the underlying theory and some of the associated mathematics. Read more
This programme introduces you to the methods of statistical analysis, together with the underlying theory and some of the associated mathematics. The graduate diploma gives you the chance to study one or more specific areas of statistics in greater depth.

You will gain an understanding of statistical methods and will be able to apply them to the analysis of real-world data sets. You will also learn how to use statistical computer packages.

Visit the website http://www.bbk.ac.uk/study/2016/postgraduate/programmes/GDGSTATI_C/

Our research

Birkbeck is one of the world’s leading research-intensive institutions. Our cutting-edge scholarship informs public policy, achieves scientific advances, supports the economy, promotes culture and the arts, and makes a positive difference to society.

Birkbeck’s research excellence was confirmed in the 2014 Research Excellence Framework (http://www.bbk.ac.uk/news/ref-results/), which placed Birkbeck 30th in the UK for research, with 73% of our research rated world-leading or internationally excellent.

Read about Birkbeck research offering insights and expertise to inform business, contribute to economic success and develop ground-breaking technologies (http://www.bbk.ac.uk/business/our-research).

Why study this course at Birkbeck?

- Provides an introduction to the main methods of statistical analysis used in business and scientific research.

- Ideal as a way to top up existing knowledge, as preparation for further graduate study or as a stand-alone course.

- Watch videos of our postgraduate students discussing their experience of studying at Birkbeck (http://www.bbk.ac.uk/mybirkbeck/get-ahead-stay-ahead/student-experience-videos).

Course structure

You take 2 compulsory year-long modules, which form the Graduate Certificate in Statistics, designed to give you a thorough grounding in mathematical and statistical methods as a basis for the postgraduate study of statistics.

Then you take 2 further modules, including at least 1 module from: Statistical Modelling; or Probability Models and Time Series.

Compulsory modules:
Advanced Mathematical Methods
Statistics: Theory and Practice

Option modules:
Probability Models and Time Series
Statistical Modelling

Teaching and assessment

Teaching
Mainly by lectures, but you will take part in practical sessions using a statistical package as part of the Statistics: Theory and Practice module.

Assessment
Coursework makes up 20% of the assessment of all modules. The rest of the assessment is by examinations taken in the summer term.

Careers and employability

Graduates can pursue careers in data collection, research, and analysis, modelling and forecasting. Possible professions include statistician, operational researcher, or research scientist (maths). This degree may also be useful in becoming a forensic statistician or high education lecturer.

Find out more about these professions (http://www.prospects.ac.uk/options_with_your_subject.htm).

Find out more about the destinations of graduates in this subject (http://www.bbk.ac.uk/prospective/careers-and-employability/department-of-economics-mathematics-and-statistics).

We offer a comprehensive Careers and Employability Service to help you advance your career, while our in-house, professional recruitment consultancy, Birkbeck Talent, works with London’s top employers to help you gain work experience that fits in with your evening studies.

Find out how to apply here - http://www.bbk.ac.uk/prospective/postgraduate/apply

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At Essex we push the frontiers of accepted wisdom, critically examining the decisions of individuals, the strategies of firms, and the policies of governments to understand and challenge the standard paradigms of economics. Read more
At Essex we push the frontiers of accepted wisdom, critically examining the decisions of individuals, the strategies of firms, and the policies of governments to understand and challenge the standard paradigms of economics.

If your first degree is in a subject other than economics, or your economics training does not provide sufficient technical experience for direct entry on our MSc courses, we offer a full-time, nine-month Diploma in Economics. If you obtain your Diploma with Merit or Distinction, you can then automatically register for one of our MSc courses, so over the two years you gain a thorough training in economics principles and practice at the Masters level.

On our Graduate Diploma Economics, we teach you the essentials of micro- and macroeconomics, and then you have the option to explore whichever topics in economics interest you the most, from international trade and health, to mathematical methods, to theories of monopolies.

Our department is Top 5 in the UK for research, with over 90% of our research rated as “world-leading” or “internationally excellent”. Much of this world-class research is related to policy, and we have particular strengths in the areas of:
-Game theory and strategic interactions
-Theoretical and applied econometrics
-Labour economics
-The quality of our work is reflected in our stream of publications in high-profile academic journals, including American Economic Review, Econometrica, and Review of Economic Studies.

Our expert staff

Study and work alongside some of the most prominent economists of our time.

Our researchers are at the forefront of their field and have even received MBEs, with students coming from across the globe to study, research or work with us.

Many of our researchers also provide consultancy services to businesses in London and other major financial centres, helping us to develop research for today's society as well as informing our teaching for the future.

Specialist facilities

Take advantage of our wide range of learning resources to assist you in your studies:
-Extensive software for quantitative analysis is available in all computer labs across the university
-Access a variety of economics databases and multiple copies of textbooks and e-books in the Albert Sloman Library

Your future

After completing your masters, you may wish to extend your knowledge with a research degree – many Essex graduates decide to stay here for further study.

Alternatively, our course also prepares you for employment; recent surveys have shown that higher degree graduates are more likely to obtain jobs at professional or managerial level.

Our recent MSc Economics graduates have gone on to work for a range of high-profile organisations:
-The Ministry of Finance
-HM Treasury
-The Work Foundation
-Fitch Ratings
-Schroders Investment Management

More generally, our graduates find employment in roles such as business and financial analysts, management consultants, government officials, and economists for banks and other financial organisations.

We also work with the University’s Employability and Careers Centre to help you find out about further work experience, internships, placements, and voluntary opportunities.

Example structure

-Macroeconomics (Intermediate)
-Microeconomics (Intermediate)
-The World Economy in Historical Perspective (optional)
-International Financial Institutions and Policy (optional)
-International Trade Institutions and Policy (optional)
-Financial Instruments and Capital Markets (optional)
-Financial Innovations and Monetary Policy (optional)
-Mathematical Methods in Economics (optional)
-Introduction to Econometric Methods (optional)
-Management of New Technology (optional)
-Economics of Organisational Management (optional)
-Microeconomics (Advanced)
-Macroeconomics (Advanced)
-Economics of the European Union
-Economics of Transition
-Strategies of Economic Development
-Current Issues in Development Economics
-Mathematical Economics
-Econometric Methods
-Public Economics
-Labour Economics
-Theory of Monopoly and Regulation
-Market Structure and Strategic Behaviour
-International Trade
-International Money and Finance
-Economic Analysis of Asset Prices
-Economics of Bond and Derivatives Markets
-Environmental Economics
-Introduction to Health Economics and Policy

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The University of Oxford’s online Postgraduate Certificate in Nanotechnology is an online course aimed at professionals from a diverse range of backgrounds who wish to learn more about the foundations of nanotechnology, technological advances and the applications enabled by nanotechnology. Read more
The University of Oxford’s online Postgraduate Certificate in Nanotechnology is an online course aimed at professionals from a diverse range of backgrounds who wish to learn more about the foundations of nanotechnology, technological advances and the applications enabled by nanotechnology. There are opportunities to access cutting-edge research and current practice in a wide range of nanotechnology topics.

The course provides relevant, meaningful and up-to-date learning to enhance career development that is recognised and accepted within industry. A modular structure allows a flexible approach to learning and each module may be taken as an individual short course. The tutor-led approach lends cohesion to the distance learning experience which is tailored for busy people in full-time employment who wish to minimise time away from the workplace to study.

Applications for October 2016 are now being accepted. In the meantime you may be interested in applying for one of the modules from the Postgraduate Certificate in Nanotechnology as a short course.

Nanotechnology is the production and application of devices and systems at the nanometre scale, which is of the order of one billionth of a meter. Developments in this area of technology are now coming to fruition, and increasingly impacting our daily lives. However, it is recognised that there is a need for more people to understand the basics about this technology.

The University of Oxford's online Postgraduate Certificate in Nanotechnology offers a nine-month introduction to the subject. The course is taken part-time and online meaning that it can be taken from anywhere in the world by those seeking a solid foundation in nanotechnology, whilst having the option of working full-time. The course uses a blend of individual study of online learning materials, together with group work during live online tutorials, discussions and research. The group sessions with tutors are particularly valuable because they offer highly authentic learning and assessment opportunities.

Visit the website https://www.conted.ox.ac.uk/about/postgraduate-certificate-in-nanotechnology

Features

Students study the Postgraduate Certificate in Nanotechnology over three modules that introduce the most commonly used and most important analytical, quantitative and experimental methods in nanotechnology. The course has the following features:

- An online, part-time University of Oxford qualification aimed at industry;

- Three modules giving a thorough introduction to nanotechnology and the behaviour and characterisation of nanoparticles;

- The course is taken part-time so students can complete it whilst continuing to work full-time;

- The course is taught online and can be taken from anywhere in the world;

- Tutors provide online support and replicate electronically the famed Oxford tutorial system;

- Assessment throughout the modules ensures that students can monitor their progress;

- The course has a dedicated Course Director and administration team accustomed to supporting students undertaking distance learning courses;

- Students have access to staff at the University of Oxford’s Begbroke Science Park, particularly the Course Director, Dr Christiane Norenberg;

- Throughout the course, students can use the University of Oxford’s excellent electronic library resources to enable them to complete the assignment tasks.

Who is it for?

The Postgraduate Certificate in Nanotechnology is a part-time, online course leading to a postgraduate qualification at the University of Oxford. The course is designed for students wishing to study part-time. It will appeal to those working in the commercial or healthcare sectors, who use, or expect to use, nanotechnology in their work. Previous students include electrical engineers, materials scientists, project managers, patent agents, chemists, medical practitioners, plastic surgeons and food technologists as well as those involved in manufacturing, research and legislation.

Programme details

The Postgraduate Certificate in Nanotechnology begins in October and runs for nine months. Students take three online nanotechnology modules. At the end of the third module, students are required to attend a residential weekend in nanoscale materials characterisation based in Oxford. This takes place at the University of Oxford's Begbroke Science Park in July 2017.

The content of each module contains up-to-the-minute thinking and reflects the University of Oxford's world-leading research in nanotechnology. Each module has a different focus:

- Module 1: The Wider Context of Nanotechnology (24 October - 4 December 2016) looks at the current state of the technology and addresses its implications;

- Module 2: The Fundamental Science of Nanotechnology (9 January - 18 March 2017) explains the physical and mathematical foundations of nanoscale phenomena and properties of nanoscale materials;

- Module 3: Fundamental Characterisation for Nanotechnology (24 April - 2 July 2017) explores methods for investigating nanoparticles, thin films and nanostructures.

Each module lasts for 7 or 10 weeks corresponding approximately to the University of Oxford's term calendar. Within each module, there are weekly live online tutorials lasting for one hour as well as assignments and problem sheets. Most students should expect to spend an average of between 10 and 15 hours per week on independent study in addition to the timetabled tutorials.

Course aims

By the end of the Postgraduate Certificate students will be expected to:

- Demonstrate a basic knowledge of the physical principles, mathematical methods and techniques appropriate for solving nanotechnology problems and be able to apply them to industrial problems through a critical comprehension of the relative advantages and disadvantages of these methods;

- Demonstrate an understanding of some of the most common applications of nanoscale phenomena and how these relate to the solution of nanotechnology problems in industry;

- Manage their learning and research and conduct independent and effective study;

- Apply skills gained in analytical techniques from across the physical sciences.

Find out how to apply here - http://www.ox.ac.uk/admissions/graduate/applying-to-oxford

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Computer Science is one of the drivers of technological progress in all economic and social spheres. Those graduating with an M.Sc. Read more

About Computer Science

Computer Science is one of the drivers of technological progress in all economic and social spheres. Those graduating with an M.Sc. in Computer Science are specialists in at least one field of computer science who have wide-ranging science-based methodological expertise.
Graduates are able to define, autonomously and comprehensively, computer science problems and their applications, structure them and build abstract models. Moreover, they are able to define and implement solutions that are at the state of the art of technology and science.

Features

– A broad, international and relevant selection of courses
– As a student, you will work on cutting-edge research projects
– Individual guidance in small learning groups
– Excellent enterprise relations maintained by the chairs and institutes
– Numerous partnerships with universities throughout the world, including a double degree programme with the Institut national des sciences appliquées de Lyon (INSA)

Syllabus

The programme offers the following five focus modules:
1) Algorithms and Mathematical Modelling
2) Programming and Software Systems
3) Information and Communication Systems
4) Intelligent Technical Systems
5) IT Security and Reliability
1) Algorithms and Mathematical Modelling: This module teaches you about determinstic and stochastic algorithms, their implementation, evaluation and optimisation. You will acquire advanced knowledge of computer-based mathematical methods – particularly in the areas of algorithmic algebra and computational stochastics – as well as developing an in-depth expertise in mathematical modelling and complexity analysis of discrete and continuous problems.
2) Programming and Software Systems: This module imparts modern methods for constructing large-scale software systems, as well as creating and using software authoring, analysis and optimisation tools. In this module you will consolidate your knowledge of the various programming paradigms and languages, the structure of language processing systems, and learn to deal with parallelism in program procedures.
3) Information and Communication Systems: In this module you will study the interactions of the classic computer science areas of information systems and computer networks. This focus area represents an answer to the problem of increasing volume and complexity of worldwide information distribution and networks, and for the growing requirements on quality and performance of computer communication. Additionally, you will learn to transfer database results to multimedia data.
4) Intelligent Technical Systems: In this module you are acquainted with digital image and signal processing, embedded systems and applications of intelligent technical systems in industrial and assistance systems, which are necessary for production automation and process control, traffic control, medical and building technology. You will learn to develop complex applications using computer systems and deal with topics such as image reconstruction, camera calibration, sensor data fusion and optical measurement technology.
5) IT Security and Reliability: This module group is concerned with security and reliability of IT systems, e.g. in hardware circuitry and communication protocols, as well as complex, networked application systems. To ensure the secure operation of these systems you will learn design methodology, secure architectures and technical implementation of the underlying components.

Language requirements

Unless English is your native language or the language of your secondary or undergraduate education, you should provide an English language certificate at level B2 CEFR, e.g. TOEFL with a minimum score of 567 PBT, 87 iBT or ITP 543 (silver); IELTS starting from 5.5; or an equivalent language certificate.

To facilitate daily life in Germany, it would be beneficial for you to have German language skills at level A1 CEFR (beginner’s level). If you do not have any German skills when starting out on the programme, you will complete a compulsory beginner’s German course during your first year of study.

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The Department gives MSc students an opportunity to study and perform a research project under the supervision of recognized experts and to acquire specialist knowledge of one or a few topics at the cutting edge of contemporary physics. Read more
The Department gives MSc students an opportunity to study and perform a research project under the supervision of recognized experts and to acquire specialist knowledge of one or a few topics at the cutting edge of contemporary physics.

The project will be devoted to one of several topical areas of modern physics including high-temperature superconductivity, terahertz semiconductor and superconductor electronics, quantum computing and quantum metamaterials, physics of extreme conditions and astrophysics.

Core study areas currently include mathematical methods for interdisciplinary sciences, research methods in physics, superconductivity and nanoscience and a research project.

Optional study areas currently include characterisation techniques in solid state physics, quantum information, advanced characterisation techniques, quantum computing, and physics of complex systems.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/advanced-physics/

Programme modules

Compulsory Modules:
- Mathematical Methods for Interdisciplinary Sciences
- Research Methods in Physics
- Superconductivity and Nanoscience
- Research Project Part 1
- Research Project Part 2

Optional Modules:
- Characterisation Techniques in Solid State Physics
- Fundamentals of Quantum Information
- Matlab as a Scientific Programming Language
- Advanced Characterisation Techniques
- Quantum Computing
- Physics of Complex systems

Learning and teaching

Knowledge and understanding are acquired through lectures, tutorials, problem classes and guided independent study. Assessment in taught modules is by a combination of examination and coursework. The MSc includes a significant research project completed through guided independent study with a research supervisor.

Careers and further study

The aim of the course is to equip students with key skills they need for employment in industry, public service or academic research.

Why choose physics at Loughborough?

We are a community of approximately 170 undergraduates, 30 postgraduates, 16 full-time academic staff, seven support staff, and several visiting and part-time academic staff.

Our large research student population and wide international links make the Department a great place to work.

- Research
Our research strengths are in the areas of condensed matter and materials, with a good balance between theory and experiment.
The quality of our researchers is recognised internationally and we publish in highly ranked physics journals; one of our former Visiting Professors, Alexei Abrikosov, was awarded the 2003 Nobel Prize in Physics.

- Career Prospects
100% of our graduates were in employment and/or further study six months after graduating. They have gone on to work with companies such as BT, Nikon Metrology, Prysmian Group, Rutherford Appleton Laboratory ISIS and Smart Manufacturing Technology.

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/advanced-physics/

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We have a long history of internationally recognized research in the study and development of new materials. Read more
We have a long history of internationally recognized research in the study and development of new materials. This course gives the possibility of working with and learning from expert researchers in the physics of materials in a friendly and vibrant research atmosphere provided by the international team of scientists at the Department of Physics.

This programme contains a combination of supervised research work, development of research skills and taught material. The programme involves a set of taught modules and an experimental or theoretical research project.

The theme of the project will be dedicated to one of the topical areas in physics of materials including graphene-based materials, thin film materials, shape memory compounds or nanomaterials or experimental study of properties of materials.

Core study areas mathematical methods for interdisciplinary sciences, research methods in physics, superconductivity and nanoscience, characterisation techniques in solid state physics, and a research project.

Optional study areas include polymer properties, polymer science, advanced characterisation techniques, simulation of advanced materials and processes, and materials modelling.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/physics-materials/

Programme modules

Compulsory Modules:
- Mathematical Methods for Interdisciplinary Sciences
- Research Methods in Physics
- Superconductivity and Nanoscience
- Research Project Part 1
- Research Project Part 2
- Characterisation Techniques in Solid State Physics

Optional Modules:
- Polymer Properties
- Polymer Science
- Advanced Characterisation Techniques
- Simulation of Advanced Materials and Processes
- Materials Modelling

Learning and teaching

Knowledge and understanding are acquired through lectures, tutorials, problem classes and guided independent study. Assessment in taught modules is by a combination of examination and coursework. The MSc includes a significant research project completed through guided independent study with a research supervisor.

Careers and further study

The aim of the course is to equip students with key skills they need for employment in industry, public service or academic research.

Why choose physics at Loughborough?

We are a community of approximately 170 undergraduates, 30 postgraduates, 16 full-time academic staff, seven support staff, and several visiting and part-time academic staff.

Our large research student population and wide international links make the Department a great place to work.

- Research
Our research strengths are in the areas of condensed matter and materials, with a good balance between theory and experiment.
The quality of our researchers is recognised internationally and we publish in highly ranked physics journals; one of our former Visiting Professors, Alexei Abrikosov, was awarded the 2003 Nobel Prize in Physics.

- Career Prospects
100% of our graduates were in employment and/or further study six months after graduating. They have gone on to work with companies such as BT, Nikon Metrology, Prysmian Group, Rutherford Appleton Laboratory ISIS and Smart Manufacturing Technology.

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/physics-materials/

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