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Masters Degrees in Mathematical Modelling

We have 43 Masters Degrees in Mathematical Modelling

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Mathematical models are fundamental to how we understand, analyse and design transportation systems, but these models face challenges from the rapidly changing nature of mobility. Read more

Mathematical models are fundamental to how we understand, analyse and design transportation systems, but these models face challenges from the rapidly changing nature of mobility.

Innovative technologies are being harnessed to deliver new approaches to transport services, and huge volumes of data create new opportunities to examine how patterns of movement are evolving.

If you’re a highly numerate graduate with a desire to apply your quantitative skills to the real world, or a practitioner working in the sector, this course will take you to the next level and prepare you for a career as a transport modelling specialist.

97% of our graduates find employment in a professional or managerial role, or continue with further studies.*

Experience a course designed in collaboration with employers, learning skills the industry desperately needs to unlock the full potential of big data.

Learn to think creatively, beyond the standard application of established solutions, and use your technical expertise across multiple scenarios.

Develop and apply mathematical models to analyse and improve the performance of transportation networks and flows:

  • Use mathematical models to represent transport systems and forecast demand
  • Test solutions and strategies using different models
  • Apply optimisation algorithms to traffic networks
  • Develop computer code to enhance and visualise outputs
  • Critically evaluate and adapt existing modelling techniques
  • Write scientific reports for technical and lay audiences
  • Develop research and advanced scholarship skills.

And experience what it is like to be part of a project team working across disciplinary boundaries within the transport sector. Through this, gain insights into how modelling, environmental science, planning, economics and engineering can work together to develop sustainable solutions to global challenges. This industry-inspired approach will enable you to apply your knowledge to real-world issues in the field.

Your colleagues will be among the best and brightest from the UK and across the globe. Together you will learn mathematical modelling skills that can be applied to design smarter transport solutions founded on robust methods.

With a strong focus on industry needs, our degrees will prepare you for employment in your chosen field. They will also address the multi-disciplinary nature of transport – enabling you to make effective decisions for clients, employers and society.

Other Study Options

This programme is available part time, allowing you to combine study with other commitments. You can work to fund your studies, or gain a new qualification without giving up an existing job. We aim to be flexible in helping you to put together a part-time course structure that meets your academic goals while recognising the constraints on your study time.

You can also study this subject at Postgraduate Diploma level, part time or full time, or at Postgraduate Certificate level with our PGCert in Transport Studies.

Course content

Alongside specialist modules, study common modules that will address key issues currently facing transport industry professionals. These provide you with a holistic overview of transport problems and approaches to policy formulation.

Our new Transport Integrated Project module enables you to employ project management scenario-based learning. You will cover a range of transport disciplines and be supervised by experts in the field. Join forces with a project team of other students from our other degrees to develop a solution to a ‘real-world’ transport problem, identifying how your own interests need to interact effectively with others to achieve an effective solution.

You will learn about the methods and models used in transport analysis and the software packages that implement them. You will be trained to think creatively, beyond the standard application of established ‘solutions’ and learn how to use your technical expertise as a mathematical modeller in interdisciplinary teams. Being equipped with these skills will open up a range of future career paths, whether in government, consultancy, academia or going on to further study.

The core of the programme includes the following compulsory modules, which have been designed together to enhance the learning potential of this programme:

  • Concepts and Mathematics for Modelling Transport – examines how transport systems can be modelled and the methods, assumptions, tools and algorithms involved (Semester 1).
  • Transport Modelling in Practice – applies the theory covered above to realistic example scenarios. Includes use of state-of-the-art commercial software (Semester 1).
  • Transport Data Science – how to manage, interrogate and visualise ‘big data’, and incorporate it into transport modelling (Semester 2).

Course structure

Compulsory modules

  • Shaping Future Transport Systems 15 credits
  • Concepts and Mathematics for Modelling Transport Systems 30 credits
  • Transport Data Science 15 credits
  • Transport Modelling In Practice 15 credits
  • Transport Dissertation 60 credits
  • Transport Integrated Project 15 credits

For more information on typical modules, read Mathematical Modelling for Transport MSc Full Time in the course catalogue

For more information on typical modules, read Mathematical Modelling for Transport MSc Part Time in the course catalogue

Learning and teaching

The programme involves a range of teaching methods, supported by independent learning. In addition to the traditional lecture and seminar formats, students experience a blend encompassing workshops, computer exercises, practical sessions, directed reading, reflective journal, student-led discussions and tutorials.

Assessment

Assessment is equally varied and will include coursework essays, case-study reports, group assignments, posters, presentations and exams.

Career opportunities

Links with Industry

This programme was developed in consultation with practitioners in the transport modelling sector, to ensure that its graduates will be highly employable. Many consultancies, local authority planning departments and other organizations in the transport industry have expressed interest in this new programme.

Jacobs, one of the world's leading professional services firms, has pledged their support for this new course by offering two prizes for academic excellence, a commitment to engage with students through lectures and workshops, and an invitation to students on the course to attend the Summer Placements they run each year around the UK.

Many of Jacobs' current Directors and Senior Professionals are ITS Alumni and this year it made offers to six of our Transport Masters students.



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Most things in the real world are complex and difficult to understand, from biological systems to the financial markets to industrial processes, but explaining them is essential to making progress in the modern world. Read more
Most things in the real world are complex and difficult to understand, from biological systems to the financial markets to industrial processes, but explaining them is essential to making progress in the modern world. Mathematical modelling is a fundamental tool in the challenge to understand many of these systems, and is an essential part of contemporary applied mathematics. By developing, analysing and interpreting mathematical and computational models we gain insight into these complex processes, as well as giving a framework in which to interpret experimental data.

To fully capitalise on these tools, there is a fundamental need in both academic research and industry for a new generation of scientists trained to work at the interdisciplinary frontiers of mathematics and computation. These scientists require the ability to assimilate and understand information from other disciplines, communicate with and enthuse other researchers, as well as having the advanced mathematical and computational skills needed.

MSc Mathematical Modelling is a one year master’s level course at the interfaces of Mathematics, Computer Science, Systems Biology and Chemical Engineering. Interdisciplinary mathematical modelling in the School of Mathematics at the University of Birmingham takes place in a thriving outward-facing community with specialities including mathematical biology, fluid mechanics, mathematical finance and industrial modelling. The School collaborates widely with multiple disciplines, including Biological and Medical Sciences, Chemical Engineering and within industry. In particular, Birmingham is an emerging centre for multidisciplinary Biological Systems Science research, and is in a unique position, being adjacent to one of the largest super-hospitals in Europe, catering for a highly diverse population.

The programme is specifically tailored to develop students from a strong mathematics background into becoming genuinely multidisciplinary scientists. You will have the opportunity to develop your mathematical and computational modelling skills, whilst at the same time being trained in cutting-edge interdisciplinary techniques, including the option of practical work. You will learn how to diversify your skills into other fields, and how to work with research leaders and other students from different disciplines.

About the School of Mathematics

The School of Mathematics is one of seven schools in the College of Engineering and Physical Sciences. The school is situated in the Watson Building on the main Edgbaston campus of the University of Birmingham. There are about 50 academic staff, 15 research staff, 10 support staff, 60 postgraduate students and 600 undergraduate students.
At the School of Mathematics we take the personal development and careers planning of our students very seriously. Jointly with the University of Birmingham's Careers Network we have developed a structured programme to support maths students with their career planning from when they arrive to when they graduate and beyond.

Funding and Scholarships

There are many ways to finance your postgraduate study at the University of Birmingham. To see what funding and scholarships are available, please visit: http://www.birmingham.ac.uk/postgraduate/funding

Open Days

Explore postgraduate study at Birmingham at our on-campus open days.
Register to attend at: http://www.birmingham.ac.uk/postgraduate/visit

Virtual Open Days

If you can’t make it to one of our on-campus open days, our virtual open days run regularly throughout the year. For more information, please visit: http://www.pg.bham.ac.uk

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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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This MSc provides an ideal foundation for students wishing to advance their mathematical modelling skills. The programme teaches students the basic concepts which arise in a broad range of technical and scientific problems and illustrates how these may be applied in a research context to provide powerful solutions. Read more
This MSc provides an ideal foundation for students wishing to advance their mathematical modelling skills. The programme teaches students the basic concepts which arise in a broad range of technical and scientific problems and illustrates how these may be applied in a research context to provide powerful solutions.

Degree information

Students develop an understanding of the processes undertaken to arrive at a suitable mathematical model and are taught the fundamental analytical techniques and computational methods used to develop insight into system behaviour. The programme introduces a range of problems - industrial, biological and environmental - and associated conceptual models and solutions.

Students undertake modules to the value of 180 credits.

The programme consists of five core modules (75 credits), three optional modules (45 credits), and a research dissertation (60 credits). The part-time option normally spans two years. The eight taught modules are spread over the two years. The research dissertation is taken in the summer of the second year.

Core modules
-Advanced Modelling Mathematical Techniques
-Nonlinear Systems
-Operational Research
-Computational and Simulation Methods
-Frontiers in Mathematical Modelling and its Applications

Optional modules
-Asymptotic Methods & Boundary Layer Theory
-Biomathematics
-Cosmology
-Evolutionary Game Theory and Population Genetics
-Financial Mathematics
-Geophysical Fluid Dynamics
-Mathematical Ecology
-Quantitative and Computational Finance
-Real Fluids
-Traffic Flow
-Waves and Wave Scattering

Dissertation/report
All MSc students undertake an independent research project, which culminates in a dissertation of approximately 15,000-words and a project presentation.

Teaching and learning
The programme is delivered through seminar-style lectures and problem and computer-based classes. Student performance is assessed through a combination of unseen examination and coursework. For the majority of courses, the examination makes up between 90–100% of the assessment. The project is assessed through the dissertation and an oral presentation.

Careers

Our graduates have found employment in a wide variety of organisations such as Hillier-Parker, IBM, Swissbank, Commerzbank Global Equities, British Gas, Harrow Public School, Building Research Establishment and the European Centre for Medium-Range Weather-Forecasting. First destinations of recent graduates include:
-R.T.E: Engineer
-Tower Perrins: Actuarist
-Deloitte: Quantitative Analyst
-UCL: Research Associate
-C-View: Quantitative Trader
-One-to-One: Maths Tutor
-UCL Research Degree - Mathematics
-Duff & Phelps Ltd: Financial Engineer
-Bank of Tokyo Mitsubishi: Assistant Compliance Officer

Employability
The finance, actuarial and accountancy professionals are constantly in demand for high-level mathematical skills and recent graduates have taken positions in leading finance-related companies such as UBS, Royal Bank of Scotland, Societe Generale, PricewaterhouseCoopers, Deloitte, and KPMG.

In the engineering sector, recent graduates from the MSc include a mathematical modeller at Steet Davies Gleave, a leading Transportation Planning Consultancy; and a graduate trainee at WesternGreco, a business segment of Schlumberger that provides reservoir imaging, monitoring, and development services. In addition, a number of graduates have remained in education either progressing to a PhD or entering the teaching profession.

Why study this degree at UCL?

UCL Mathematics is internationally renowned for its excellent individual and group research that involves applying modelling techniques to problems in industrial, biological and environmental areas.

The department hosts a stream of distinguished international visitors. In recent years four staff members have been elected fellows of the Royal Society, and the department publishes the highly regarded research journal Mathematika.

This MSc enables students to consolidate their mathematical knowledge and formulate basic concepts of modelling before moving on to case studies in which models have been developed for issues motivated by industrial, biological or environmental considerations.

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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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The University of Dundee has a long history of mathematical biology, going back to Professor Sir D'Arcy Wentworth Thompson, Chair of Natural History, 1884-1917. Read more

Mathematical Biology at Dundee

The University of Dundee has a long history of mathematical biology, going back to Professor Sir D'Arcy Wentworth Thompson, Chair of Natural History, 1884-1917. In his famous book On Growth and Form (where he applied geometric principles to morphological problems) Thompson declares:

"Cell and tissue, shell and bone, leaf and flower, are so many portions of matter, and it is in obedience to the laws of physics that their particles have been moved, molded and conformed. They are no exceptions to the rule that God always geometrizes. Their problems of form are in the first instance mathematical problems, their problems of growth are essentially physical problems, and the morphologist is, ipso facto, a student of physical science."

Current mathematical biology research in Dundee continues in the spirit of D'Arcy Thompson with the application of modern applied mathematics and computational modelling to a range of biological processes involving many different but inter-connected phenomena that occur at different spatial and temporal scales. Specific areas of application are to cancer growth and treatment, ecological models, fungal growth and biofilms. The overall common theme of all the mathematical biology research may be termed"multi-scale mathematical modelling" or, from a biological perspective, "quantitative systems biology" or"quantitative integrative biology".

The Mathematical Biology Research Group currently consists of Professor Mark Chaplain, Dr. Fordyce Davidson and Dr. Paul Macklin along with post-doctoral research assistants and PhD students. Professor Ping Lin provides expertise in the area of computational numerical analysis. The group will shortly be augmented by the arrival of a new Chair in Mathematical Biology (a joint Mathematics/Life Sciences appointment).

As a result, the students will benefit directly not only from the scientific expertise of the above internationally recognized researchers, but also through a wide-range of research activities such as journal clubs and research seminars.

Aims of the programme

1. To provide a Masters-level postgraduate education in the knowledge, skills and understanding of mathematical biology.
2. To enhance analytical and critical abilities and competence in the application of mathematical modeling techniques to problems in biomedicine.

Prramme Content

This one year course involves taking four taught modules in semester 1 (September-December), followed by a further 4 taught modules in semester 2 (January-May), and undertaking a project over the Summer (May-August).

A typical selection of taught modules would be:

Dynamical Systems
Computational Modelling
Statistics & Stochastic Models
Inverse Problems
Mathematical Oncology
Mathematical Ecology & Epidemiology
Mathematical Physiology
Personal Transferable Skills

Finally, all students will undertake a Personal Research Project under the supervision of a member of staff in the Mathematical Biology Research Group.

Methods of Teaching

The programme will involve a variety of teaching formats including lectures, tutorials, seminars, journal clubs, case studies, coursework, and an individual research project.

Taught sessions will be supported by individual reading and study.

Students will be guided to prepare their research project plan and to develop skills and competence in research including project management, critical thinking and problem solving, project reporting and presentation.

Career Prospects

The Biomedical Sciences are now recognizing the need for quantitative, predictive approaches to their traditional qualitative subject areas. Healthcare and Biotechnology are still fast-growing industries in UK, Europe and Worldwide. New start-up companies and large-scale government investment are also opening up employment prospects in emerging economies such as Singapore, China and India.

Students graduating from this programme would be very well placed to take advantage of these global opportunities.

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Climate change is recognised as having potentially huge impacts on the environment and on human society. Read more
Climate change is recognised as having potentially huge impacts on the environment and on human society. This programme aims to provide an understanding of climate change causes, impacts, mitigation and adaptation measures from a life science perspective in conjunction with developing a wide variety of mathematical modelling skills that can be used to investigate the impacts of climate change.

The programme closely follows the structure of our Applied Mathematical Sciences MSc. Two of the mandatory courses will specifically focus on understanding the issues related to climate change and are taught by the School of Life Sciences.

Students will take a total of 8 courses, 4 in each of the 1st and 2nd Semesters followed by a 3-month Project in the summer. A typical distribution for this programme is as follows:

Core courses

Modelling and Tools;
Mathematical Ecology;
Climate Change: Causes and Impacts;
Climate Change: Mitigation and Adaptation Measures;
Dynamical Systems (recommended);
Stochastic Simulation (recommended)

Optional Courses

Optimization;
Mathematical Biology and Medicine;
Numerical Analysis of ODEs;
Applied Mathematics;
Statistical Methods;
Applied Linear Algebra;
Partial Differential Equations;
Numerical Analysis;
Geometry;
Bayesian Inference.

Typical project subjects

Population Cycles of Forest Insects;
Climate Change Impact;
The replacement of Red Squirrels by Grey Squirrels in the UK;
Vegetation Patterns in Semi-arid Environments;
Daisyworld: A Simple Land Surface Climate Model.

The final part of the MSc is an extended project in mathematical modelling the impacts of climate change on environmental systems, giving the opportunity to investigate a topic in some depth guided by leading research academics.

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Our MSc Complex Systems Modelling programme enables you to apply mathematical techniques in the rapidly developing and exciting interdisciplinary field of complex systems. Read more
Our MSc Complex Systems Modelling programme enables you to apply mathematical techniques in the rapidly developing and exciting interdisciplinary field of complex systems. This field of study is applicable to areas as diverse as biomedical, natural, economic and social sciences. It is suitable for those who wish to work in research and development in an academic or industrial environment.

Key benefits

- Unrivalled location at the centre of London.

- Research-led interdisciplinary programme.

- Modern theory of complex systems modelling.

- Taught by experts in the field.

Visit the website: http://www.kcl.ac.uk/study/postgraduate/taught-courses/complex-systems-modelling-msc.aspx

Course detail

- Description -

Modern societies rely on a wide range of infrastructures, institutions and technologies whose complexity has grown dramatically in the recent past. Consequently there is an ever-growing demand for expertise in complex systems modelling as a prerequisite to understanding, maintaining and further developing such systems.

The MSc in Complex Systems Modelling is a taught programme with a significant research component in the rapidly developing and exciting interdisciplinary field of Complex Systems. It covers scientific areas ranging from biomedical and natural to economic and social sciences, and consists of a wide range of modules including the following core modules:

- Research Methods and Advanced Topics in Complex Systems
- Theory of Complex Networks
- Equilibrium Analysis of Complex Systems

You must also complete a project in a relevant area after passing the written examinations. This can be carried out and supervised in the department or in appropriate academic or industrial institutions outside the College.

- Course purpose -

For graduates in mathematics, or in other suitable scientific disciplines with a strong background in mathematics, who want to work in research and development in an academic or industrial environment. The programme aims to develop a knowledge and understanding of complex systems modelling and their uses, and to enable students to use mathematical techniques to quantify, predict and improve such systems.

- Course format and assessment -

Primarily written examinations, some with coursework element, in eight lecture modules, plus an oral presentation and assessed report on the research project.

Career prospects

Our graduates are highly sought after: the applicability of complex systems modelling to areas as diverse as biomedical, natural, economic and social sciences, results in a broad range of opportunities. Some graduates are employed by the companies or laboratories that supervise their MSc research projects, or continue to PhD study.

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

About Postgraduate Study at King’s College London:

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

Scholarships & Funding:

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

Free language tuition with the Modern Language Centre:

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

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Applied Mathematical Sciences offers a clear and relevant gateway into a successful career in business, education or scientific research. Read more
Applied Mathematical Sciences offers a clear and relevant gateway into a successful career in business, education or scientific research. The programme arms students with the essential knowledge required by all professional mathematicians working across many disciplines. You will learn to communicate their ideas effectively to peers and others, as well as the importance of research, planning and self-motivation.

Students will take a total of 8 courses, 4 in each of the 1st and 2nd Semesters followed by a 3-month Project in the summer. A typical distribution for this programme is as follows:

Core courses

:

Modelling and Tools;
Optimization;
Dynamical Systems;
Applied Mathematics (recommended);
Applied Linear Algebra (recommended).

Optional Courses

:

Mathematical Ecology;
Functional Analysis;
Numerical Analysis of ODEs;
Pure Mathematics;
Statistical Methods;
Stochastic Simulation;
Software Engineering Foundations;
Mathematical Biology and Medicine;
Partial Differential Equations;
Numerical Analysis;
Geometry.

Typical project subjects

:

Pattern Formation of Whole Ecosystems;
Climate Change Impact;
Modelling Invasive Tumour Growth;
Simulation of Granular Flow and Growing Sandpiles;
Finite Element Discretisation of ODEs and PDEs;
Domain Decomposition;
Mathematical Modelling of Crime;
The Geometry of Point Particles;
Can we Trust Eigenvalues on a Computer?

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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 is used as a practical computing language.

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.

The destinations of MSc alumni include the financial industry and further research into mathematics.



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In this. MRes Mathematical Sciences. course, you will gain deep knowledge of a chosen topic in mathematics or statistics and develop your research skills in project planning, reviewing literature, group discussions, research presentations and writing publications. Read more

In this MRes Mathematical Sciences course, you will gain deep knowledge of a chosen topic in mathematics or statistics and develop your research skills in project planning, reviewing literature, group discussions, research presentations and writing publications.

You can choose to work with experts from a range of areas including quantum cryptography, graph theory, statistical analysis, bioinformatics and mathematical modelling.

You will take three taught modules each providing you with the underpinning theory to support your research work.

Modules:

  • Computational Statistics and Data Analysis
  • Applied Statistics
  • Statistical Modelling
  • Mathematical Recipes
  • Topics in Mathematical Biology
  • Linear Systems
  • Topics in Applied Mathematics#
  • Numerical Analysis and Dynamical Systems
  • Topics in Pure Mathematics
  • Coding Theory and Cryptography
  • Research Methods
  • Research Project

COME VISIT US ON OUR NEXT OPEN DAY!

Visit us on campus throughout the year, find and register for our next open event on http://www.ntu.ac.uk/pgevents.



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This programme reflects and benefits from the strong research activities of the Department of Mathematics. The taught modules and dissertation topics are closely aligned with the interests of the Department’s four research groups. Read more

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

The taught modules and dissertation topics are closely aligned with the interests of the Department’s four research groups:

  • Mathematics of Life and Social Sciences
  • Dynamical Systems and Partial Differential Equations
  • Fields, Strings and Geometry
  • Fluids, Meteorology and Symmetry

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

Programme structure

This programme is studied full-time over one academic year. It consists of eight taught modules and a dissertation.

Example module listing

The following modules are indicative, reflecting the information available at the time of publication. Please note that not all modules described are compulsory and may be subject to teaching availability and/or student demand.

Careers

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

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

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

Educational aims of the programme

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

Programme learning outcomes

Knowledge and understanding

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

Intellectual / cognitive skills

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

Professional practical skills

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

Key / transferable skills

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

Global opportunities

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

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



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Birkbeck's MSc in Mathematics and Financial Modelling is a part-time programme that combines the study of mathematics at postgraduate level with a strong component of financial mathematics and modelling. Read more
Birkbeck's MSc in Mathematics and Financial Modelling is a part-time programme that combines the study of mathematics at postgraduate level with a strong component of financial mathematics and modelling. The programme offers you the chance to study a range of modules in pure and applicable mathematics, as well as financial mathematics, thus giving you the opportunity to increase your knowledge and abilities in these areas. Depending on your choices, you will take between 6 and 8 modules, allowing you to study several different topics in depth, and to focus on the areas that interest you most.

You will also learn key mathematical research skills and methods, including how to conduct a literature search, how to read mathematical papers, and how to communicate your ideas and findings, both in writing and orally. The second year of the programme includes a dissertation that allows you to engage in a sustained investigation of an area that interests you within statistics and/or finance, implementing what you have learned from the taught modules on the programme and combining this knowledge with new research and analysis.

Over 2 years, you will also acquire the skills to pursue your interests in mathematics and financial modelling to a higher level and beyond the classroom, whether for a formal MPhil/PhD research degree, for your career, or simply because you have a passion for the subject.

The programme's distinct mode of part-time evening study means that this is one of the very few taught MSc programmes in mathematics and financial modelling that can be taken by busy people who are balancing study with work and other personal and family commitments.

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The programme consists of a wide range of modules and three research projects and aims to develop deeper insights into non-equilibrium processes using theoretical modelling, simulation and data-driven analysis. Read more
The programme consists of a wide range of modules and three research projects and aims to develop deeper insights into non-equilibrium processes using theoretical modelling, simulation and data-driven analysis. Leads to PhD study or careers in teaching, industrial research or the financial sector.

Key benefits

- An intensive course covering a wide range of basic and advanced topics on Non-Equilibrium Systems.

- Taught by experts in the field.

- A full twelve-month course with three research methods modules to give a real introduction to research.

- Intimate class environment with small class sizes (typically fewer than twenty students on a module) allowing good student lecturer interactions.

- Unrivalled location at the centre of London.

Visit the website: http://www.kcl.ac.uk/study/postgraduate/taught-courses/non-equilibrium-systems-theoretical-modelling-simulation-and-data-driven-analysis-msc.aspx

Course detail

- Description -

The ultimate goal of the programme is to address interdisciplinary challenges e.g. How do we characterize, design and grow materials, and devices, with novel properties out of equilibrium? How do we control and exploit the stochastic processes inherent to biological systems? Can we use inference and information assimilation approaches from physics and biology to monitor and evaluate the state and direction of non-equilibrium environmental systems?

The programme consists of a wide range of taught modules and 3 research methods modules in the rapidly developing and exciting interdisciplinary field of Non-Equilibrium Systems. It covers scientific areas ranging from mathematics, physics, informatics and chemistry to biomedical and environmental sciences.

- Course purpose -

For graduates with excellent undergraduate or equivalent qualifications in any relevant discipline (including; mathematics, physics, chemistry, engineering, materials science, biophysics, geophysical sciences and computer science) who want to work in research and development in an academic or industrial environment. The programme aim is to develop deeper insights into non-equilibrium processes using theoretical modelling, simulation and data-driven analysis and prepare students ideally for active research.

- Course format and assessment -

The format and assessment of the MSc programme is primarily written examinations, some with coursework element, in six lecture modules, plus oral presentations and assessed report on three research modules.

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

About Postgraduate Study at King’s College London:

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

Scholarships & Funding:

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

Free language tuition with the Modern Language Centre:

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

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The Predictive Modelling MSc is designed for those wishing to develop the skills and depth of knowledge to deal with the integration of Big Data with mathematical and statistical simulation tools in order to model and design complex systems in the presence of uncertainties. Read more
The Predictive Modelling MSc is designed for those wishing to develop the skills and depth of knowledge to deal with the integration of Big Data with mathematical and statistical simulation tools in order to model and design complex systems in the presence of uncertainties. The course will prepare you in the theory and practical implementation of cutting-edge predictive modelling techniques, exposing you to established and emerging applications.

Course Structure

The MSc runs over one year. The taught part consists of six 15-credit modules. Of those, three are core modules offered by the WCPM. Three more can be selected from relevant departments across the university. The second half of the course consists of a 90 credit individual research project, selected from a combined list from Engineering, Physics, Chemistry, Life Sciences, Social Sciences, Mathematics, Statistics, Computer Science, Warwick Business School, Warwick Manufacturing Group and the Centre for Scientific Computing.

You will also undertake a substantive individual research project involving a theoretical or computational investigation of a topic chosen by the student in conjunction with an academic supervisor.

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