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Masters Degrees in Probability, United Kingdom

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This programme is now closed but you may want to consider other courses such as the . Mathematics MSc. . . Read more

This programme is now closed but you may want to consider other courses such as the Mathematics MSc

The Financial Mathematics MSc programme enables graduates and professionals with a strong mathematical background to research, develop and apply quantitative and computational techniques to investment and risk management. Based in the Department of Mathematics, this course has a superb reputation for research-led teaching and strong links to industry.

  • A rigorous approach to quantitative finance taught entirely by the Department of Mathematics.
  • In-depth coverage of the skills needed for working in the financial, actuarial or related industry: probability theory, optimisation, statistics and computer implementation.
  • Unrivalled facilities in central London with City of London's financial centre close by, and with access to live market data in our Bloomberg Data Laboratory.
  • Flexible study programme offering the opportunity to study part-time.
  • King’s is a member of the London Graduate School in Mathematical Finance which provides advanced courses for students who wish to push beyond the MSc core syllabus.
  • Lecturers on the programme have extensive experience in consulting and work for financial companies and institutions such as Bank of Finland, Commerzbank, Deutsche Bank, Goldman Sachs, ION Trading, Standard Chartered Bank and Winton Capital Management.

Description

Financial Mathematics studies problems of optimal investment and risk management, and this course covers a diverse range of topics, from classical options pricing to post-crisis investment and risk management

Like any branch of applied mathematics, financial mathematics analyses a given problem by first building a mathematical model for it and then examining the model. Both steps require detailed knowledge in different areas of mathematics, including probability, statistics, optimisation, computer science and many more traditional fields of mathematics.

Our Financial Mathematics MSc course is a unique study pathway that encompasses the essential skills required for successful risk management, trading and research in quantitative finance: probability, statistics, optimisation, computing and financial markets. You will explore probability theories, risk neutral valuation, stochastic analysis as well as interest rate and credit risk modules. We also offer you the opportunity to study an additional zero-credit supportive module called mathematical analysis for financial mathematics.

The Financial Mathematics MSc programme offers you the choice to study either full or part-time and is made up of optional and required modules. You must take modules totalling 180 credits to complete the course. If you are studying full-time, you will complete the course in one year, from September to September. If you are studying part-time, your programme will take two years to complete, you will study the required modules in the first year, and a further selection of required and optional modules including the 60-credit financial mathematics report module in your second year.

Bloomberg terminal laboratory

King’s is one of only a few academic departments in the UK that offers full access to Bloomberg terminals. These terminals will provide you access to live financial data. They are heavily used within the financial industry, and the data they provide is critical in assisting traders in making investment decisions and for risk managers monitoring investment probabilities. We have 13 Bloomberg terminals available for exclusive use by the Financial Mathematics MSc programme.

You will use the Bloomberg terminals to:

  • Gain an intuition for the conduct of real financial markets
  • Develop potential investment strategies
  • Experience using real-world investment and risk management software and obtain data for research.

The skills you will learn from using the terminals are highly valued by employers. King’s is part of a strong network of financial mathematics in London with connections both in academia and in the industry.

We are also members of the University of London and by arrangement, you can enrol in optional modules at other institutions within the University of London, which includes Birkbeck, London School of Economics and Political Sciences, University College London and many others.

Course purpose

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

Course format and assessment

Teaching

We use lectures, seminars and group tutorials to deliver most of the modules on the programme. You will also be expected to undertake a significant amount of independent study.

Average per week: Three hours for 11 weeks per each 15 credit module.

You are expected to spend approximately 10 hours of effort for each credit (so for a typical module of 15 credits this means 150 hours of effort).

Assessment

The primary method of assessment for this course is a combination of written examinations, essays, coursework and individual or group projects and oral presentations.  

Career destinations

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

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You can study this Mathematical Sciences MSc programme full-time or part-time. It offers students the opportunity to specialise in a broad range of areas across pure and applied mathematics, statistics and probability, and theoretical physics. Read more
You can study this Mathematical Sciences MSc programme full-time or part-time. It offers students the opportunity to specialise in a broad range of areas across pure and applied mathematics, statistics and probability, and theoretical physics.

The topics we cover include:

- advanced probability theory
- algebra
- asymptotic methods
- geometry
- mathematical biology
- partial differential equations
- quantum field theory
- singularity theory
- stochastic analysis
- standard model/string theory.

By completing the first semester you qualify for the PG certificate. By completing the second, you qualify for the PG Diploma. Then, by completing your dissertation, you qualify for the MSc.

Key Facts

REF 2014
92% of our research impact judged at outstanding and very considerable, 28% improvement in overall research at 4* and 3*.

Facilities
A dedicated student resource suite is available in the Department, with computer and reading rooms and a social area.

Why Department of Mathematical Sciences?

Range and depth of study options

We offer a very wide range of modules, from advanced algebra and geometry, to partial differential equations, probability theory, stochastic analysis, and mathematical physics. With these you can tailor your programme to specialise in one of these areas, or gain a broad understanding of several. This allows you to build up the required background for the project and dissertation modules, which offer the opportunity to undertake an in-depth study of a topic of your choice, supervised by a leading expert in the field.

Exceptional employability

At Liverpool, we listen to employers’ needs. Alongside key problem solving skills, employers require strong communication skills. These are integral to this programme. Graduates go on to research degrees, or become business and finance professionals, or to work in management training, information technology, further education or training (including teacher training) and scientific research and development.

Teaching quality

We are proud of our record on teaching quality, with five members of the Department having received the prestigious Sir Alastair Pilkington Award for Teaching. We care about each student and you will find the staff friendly and approachable.

Accessibility

We take students from a wide variety of educational backgrounds and we work hard to give everyone the opportunity to shine.

Supportive atmosphere

We provide high quality supervision and teaching, computer labs, and and you will benefit from the friendly and supportive atmosphere in the Department, as evidenced by student feedback available on our university website. A common room and kitchen for the exclusive use of the Department’s students, and a lively maths society help to foster a friendly and supportive environment.

Career prospects

The excellent University Careers Service is open to all postgraduates. Graduates of the MSc and PhD programmes move on to many different careers. Recent graduates have moved into fast track teacher programmes, jobs in finance (actuarial, banking, insurance), software development, drugs testing and defence work, as well as University postdoctoral or lecturing posts. The MSc programme is of course a natural route into doctoral study in Mathematics and related fields, both at Liverpool and elsewhere. Some of our PhD students move on to postdoctoral positions and to academic teaching jobs and jobs in research institutes, both in the UK and elsewhere.

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

About the course

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

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

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

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

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

Aims

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

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

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

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

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

Course Content

Programme structure

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

Compulsory modules:

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

Elective Modules:

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

Special Features

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

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

Assessment

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

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This cutting edge MSc programme will equip you with the mathematical, financial and computational skills needed to quantify and manage risk effectively in today’s finance, investment and insurance industries. Read more
This cutting edge MSc programme will equip you with the mathematical, financial and computational skills needed to quantify and manage risk effectively in today’s finance, investment and insurance industries. Such companies use advanced probabilistic models at the core of their business. They recruit people with the right mathematical, statistical and programming skills and financial knowledge who can understand, develop and implement such models.

The course is also an excellent preparation for students wishing to embark upon research degree (PhD) in financial or actuarial mathematics. Working professionals who would like to move from their current field into finance or for finance professionals who would like to take their careers to the next level will also benefit greatly from this course.

You will gain a strong understanding of:

- applied probability theory, stochastic analysis and mathematical modelling
- computational methods
- financial derivatives
- risk management methodologies
- financial econometrics

The 12-month programme consists of seven taught compulsory modules plus one taught elective module, followed by a research project carried out over the summer period upon completion of Semester Two. The course is taught mainly by members of the Institute for Financial and Actuarial Mathematics which is part of the Department of Mathematical Sciences . Some relevant modules are taught by the Management School.

Why Department of Mathematical Sciences?

Range and depth of study options

We offer a very wide range of modules, from advanced algebra and geometry, to partial differential equations, probability theory, stochastic analysis, and mathematical physics. With these you can tailor your programme to specialise in one of these areas, or gain a broad understanding of several. This allows you to build up the required background for the project and dissertation modules, which offer the opportunity to undertake an in-depth study of a topic of your choice, supervised by a leading expert in the field.

Exceptional employability

At Liverpool, we listen to employers’ needs. Alongside key problem solving skills, employers require strong communication skills. These are integral to this programme. Graduates go on to research degrees, or become business and finance professionals, or to work in management training, information technology, further education or training (including teacher training) and scientific research and development.

Teaching quality

We are proud of our record on teaching quality, with five members of the Department having received the prestigious Sir Alastair Pilkington Award for Teaching. We care about each student and you will find the staff friendly and approachable.

Accessibility

We take students from a wide variety of educational backgrounds and we work hard to give everyone the opportunity to shine.

Supportive atmosphere

We provide high quality supervision and teaching, computer labs, and and you will benefit from the friendly and supportive atmosphere in the Department, as evidenced by student feedback available on our university website. A common room and kitchen for the exclusive use of the Department’s students, and a lively maths society help to foster a friendly and supportive environment.

Career prospects

The excellent University Careers Service is open to all postgraduates. Graduates of the MSc and PhD programmes move on to many different careers. Recent graduates have moved into fast track teacher programmes, jobs in finance (actuarial, banking, insurance), software development, drugs testing and defence work, as well as University postdoctoral or lecturing posts. The MSc programme is of course a natural route into doctoral study in Mathematics and related fields, both at Liverpool and elsewhere. Some of our PhD students move on to postdoctoral positions and to academic teaching jobs and jobs in research institutes, both in the UK and elsewhere.

Upon successful completion of the degree you will be ideally equipped to work in investment banks, pension or investment funds, hedge funds, consultancy and auditing firms or government regulators.

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In recent years, finance has been one of the areas where high-calibre mathematicians have been in great demand. Read more
In recent years, finance has been one of the areas where high-calibre mathematicians have been in great demand. With the advent of powerful and yet economically accessible computing, online trading has become a common activity, but many have realised that a certain amount of mathematics is necessary to be successful in such fields.

One of our most popular courses, MSc Mathematics and Finance allows those with a background in mathematics to study finance. Since finance routinely involves modelling and evaluating risk, asset pricing and price forecasting, mathematics has become an indispensable tool for this study.

You explore topics including:
-Models and mathematics in portfolio management
-Risk management in modern banking
-Financial modelling
-Actuarial modelling
-Applied statistics

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

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

This course can also be studied to a PGDip level - for more information, please view this web-page: http://www.essex.ac.uk/courses/details.aspx?mastercourse=PG00610&subgroup=2

Our expert staff

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

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

Specialist facilities

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

Your future

There is undoubtedly a shortage of mathematicians in general, and an even greater one of those with knowledge of finance.

Our course produces graduates with a sound background in mathematics and finance. Key employability skills include computing, use of algorithms, data analysis, mathematical modelling and understanding financial statements.

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

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

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

Example structure

-Dissertation
-Research Methods
-Financial Modelling
-Mathematics of Portfolios
-Research Methods in Finance: Empirical Methods in Finance
-Stochastic Processes
-Applied Statistics (optional)
-Bank Strategy and Risk (optional)
-Bayesian Computational Statistics (optional)
-Combinatorial Optimisation (optional)
-Derivative Securities (optional)
-Economics of Financial Markets (optional)
-Financial Derivatives (optional)
-Ordinary Differential Equations (optional)
-Partial Differential Equations (optional)
-Statistical Methods (optional)
-Metric Spaces

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The School of Mathematics and Alliance Manchester Business School at the University of Manchester have combined their academic strength and practical expertise to deliver the  . Read more

The School of Mathematics and Alliance Manchester Business School at the University of Manchester have combined their academic strength and practical expertise to deliver the  MSc in Mathematical Finance  (UK 1 year), ensuring that students can experience both the mathematical and economic perspective of the subject.

This is also supported by invited lectures from senior staff members of leading financial institutions and outstanding mathematicians who are internationally recognised for contributions to Mathematical Finance. Past lectures include:

  • Professor M. Schweizer (ETH Zurich and Swiss Finance Institute) An overview of quadratic hedging and related topics
  • Professor H. Follmer (Humboldt University of Berlin) Monetary valuation of cash flows under Knightian uncertainty
  • Professor M. H. A. Davis (Imperial College London) Contagion models in credit risk

The course provides students with advanced knowledge and understanding of the main theoretical and applied concepts in Mathematical Finance delivered from a genuinely international and multi-cultural perspective with a current issues approach to teaching. The focus is on mathematical theory and modelling, drawing from the disciplines of probability theory, scientific computing and partial differential equations to derive relations between asset prices and interest rates, and to develop models for pricing, risk management and financial product development.

The finance industry demands recruits with strong quantitative skills and the course is intended to prepare students for careers in this area. The course provides training for those who seek a career in the finance industry specialising in derivative securities, investment, risk management and hedge funds. It also provides research skills for those who subsequently wish to pursue research and/or an academic career (e.g. university lecturer) or continue the study at doctoral level, particularly those wishing to pursue further/advanced studies in Mathematical Finance.

Coursework and assessment

Teaching is shared by the School of Mathematics and Alliance Manchester Business School, and delivered through lectures, case studies, seminars and group project-based work.

Course unit details

There are (i) eight course units to attend over two academic terms and (ii) a dissertation project to be completed in the summer term. Teaching of the course units is shared by the School of Mathematics and the Manchester Business School and delivered through lectures, case studies, seminars and group project-based work.

First term course units (autumn): Derivative Securities; Foundations of Finance Theory; Martingales with Applications to Finance; Stochastic Calculus.

Second term course units (spring): Brownian Motion; Computational Finance; Time Series Analysis and Forecasting in Finance; Stochastic Modelling in Finance.

Third term dissertation project (summer): In this term students will conduct an original study of a topic relating to the programme and write an MSc dissertation.

Additional fee information

The fees quoted above will be fully inclusive for the course tuition, administration and computational costs during your studies.

All fees for entry will be subject to yearly review and incremental rises per annum are also likely over the duration of courses lasting more than a year for UK/EU students (fees are typically fixed for International students, for the course duration at the year of entry). For general fees information please visit:  postgraduate fees . Always contact the department if you are unsure which fee applies to your qualification award and method of attendance.

Self-funded international applicants for this course will be required to pay a deposit of £1000 towards their tuition fees before a confirmation of acceptance for studies (CAS) is issued. This deposit will only be refunded if immigration permission is refused. We will notify you about how and when to make this payment.

Facilities

The School of Mathematics is one of the largest integrated departments of mathematical sciences in the UK with an outstanding reputation and superb  facilities .

Disability support

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

Career opportunities

The finance industry demands recruits with strong quantitative skills and the course is intended to prepare students for careers in this area. The course provides training for those who seek a career in the finance industry specialising in derivative securities, investment, risk management and hedge funds. It also provides research skills for those who subsequently wish to pursue research and/or an academic career (e.g. university lecturer) or continue the study at doctoral level, particularly those wishing to pursue further/advanced studies in Mathematical Finance.



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Join us to gain both a deep theoretical and conceptual knowledge of finance, together with the requisite high level probability, statistics and mathematics, to enable you to undertake advanced quantitative modelling. Read more

Join us to gain both a deep theoretical and conceptual knowledge of finance, together with the requisite high level probability, statistics and mathematics, to enable you to undertake advanced quantitative modelling. Lab work will give you hands-on experience of using software packages for simulations and time series analysis, as well as learning C++ programming to enable you to price sophisticated derivative structures. 

WBS benefits from excellent links to key financial institutions and employers and this course has benefited from recommendations following consultation with the Bank of England, Goldman Sachs, Merrill Lynch, and many of our alumni.  

Course Details

Six compulsory modules cover key material in finance, statistics and maths. Every year we offer many optional modules, available through various study routes: delivered here at WBS. Please note that availability and delivery modes may vary.

Modules are taught by staff from WBS, Warwick's Department of Statistics, and the Mathematics Institute through a combination of lectures, classes, and computer lab sessions. A one-week induction module will ensure you have the mathematical and statistical prerequisites for the course. Assessment is a mix of exams and coursework with your dissertation bringing all your learning together at the end.

Lectures & classes

Lectures introduce key theories, concepts, and economic models. You will solve financial problems and numerical exercises, analyse case studies, and make presentations of research published in academic journals.

Lab work

Lab work will give you hands-on experience of using software to perform finance-related calculations, conduct realistic simulations, and write code.

Your dissertation

A 10,000 word dissertation gives you the opportunity to test and apply techniques and theories you have been learning and to complete an original piece of research. You will be supervised and supported by one of our academic staff.



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The MSc in Mathematics gives an in-depth training in advanced mathematics to students who have. already obtained a first degree with substantial mathematical content. Read more
The MSc in Mathematics gives an in-depth training in advanced mathematics to students who have
already obtained a first degree with substantial mathematical content. Students successfully completing the MSc will acquire specialist knowledge in their chosen areas of mathematics, and the MSc is an excellent preparation for those who are considering pursuing research in mathematics.

The main areas of mathematics that may be pursued within this MSc are pure mathematics (especially algebra and combinatorics), dynamical systems, probability and statistics, and astronomy. The MSc programme is very flexible, and in consultation with your academic adviser you may choose modules in different areas or specialise in one.

Programme outline
You will normally take eight modules in total, with one module typically comprising 24 hours of lectures and 12 hours of tutorials given during a twelve-week semester. In addition to the MSc modules offered at Queen Mary, you can also choose from an extremely wide range of advanced mathematics modules offered at other Colleges of the University of London. During the summer period, supervised by an academic member of staff, you are required to complete a dissertation, working largely independently in an advanced topic in mathematics or statistics.

For details of modules typically offered, see: http://www.maths.qmul.ac.uk/postgraduate/msc-maths-stats/modules

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Excited by the role of mathematics in securing the modern electronics and communications that we all rely on? This intensive MSc programme explores the mathematics behind secure information and communications systems, in a department that is world renowned for research in the field. Read more

Excited by the role of mathematics in securing the modern electronics and communications that we all rely on? This intensive MSc programme explores the mathematics behind secure information and communications systems, in a department that is world renowned for research in the field.

You will learn to apply advanced mathematical ideas to cryptography, coding theory and information theory, by studying the relevant functions of algebra, number theory and combinatorial complexity theory and algorithms. In the process you will develop a critical appreciation of the challenges that mathematicians face in facilitating secure information transmission, data compression and encryption. You will learn to use advanced cypher systems, correcting codes and modern public key crypto-systems. As part of your studies you will have the opportunity to complete a supervised dissertation in an area of your choice, under the guidance of experts in the field who regularly publish in internationally competitive journals and work closely with partners in industry.

We are a lively, collaborative and supportive community of mathematicians and information security specialists, and thanks to our relatively compact scale we will take the time to get to know you as an individual. You will be assigned a personal advisor to guide you through your studies.

Mathematicians who can push the boundaries and stay ahead when it comes to cryptography and information security are in demand, and the skills you gain will open up a range of career options and provide a solid foundation if you wish to progress to a PhD. These include transferable skills such as familiarity with a computer-based algebra package, experience of carrying out independent research and managing the writing of a dissertation.

  • Learn from internationally renowned mathematicians, cryptographers and communications specialists.
  • Complete a cutting-edge research project under the supervision of cryptography and communications experts.
  • Enjoy the flexibility to tailor your degree to your interests and specialisms.
  • Join a mathematics department that ranks second in the UK for research impact and fourth for world leading or internationally excellent research output (Research Excellence Framework 2014).
  • Feel at home in a friendly department where you will be known as an individual.

Course structure

Core modules

  • Main Project
  • Advanced Cipher Systems
  • Channels
  • Theory of Error-Correcting Codes
  • Public Key Cryptography

Optional modules

In addition to these mandatory course units there are a number of optional course units available during your degree studies. The following is a selection of optional course units that are likely to be available. Please note that although the College will keep changes to a minimum, new units may be offered or existing units may be withdrawn, for example, in response to a change in staff. Applicants will be informed if any significant changes need to be made.

  • Applications of Field Theory
  • Quantum Information and Coding
  • Principles of Algorithm Design
  • Advanced Financial Mathematics
  • Combinatorics
  • Computational Number Theory
  • Complexity Theory
  • Inference
  • Topology
  • Applied Probability

Teaching & assessment

You will initially choose 8 courses from the list of available options, of which you specify 6 courses during the second term that will count towards your final award. You will also complete a core research project under the supervision of one of our academic staff.There is a strong focus on small group teaching throughout the programme.

Assessment is carried out through a variety of methods, including coursework, examinations and the main project. End-of-year examinations in May or June will count for 66.7% of your final award, while the dissertation will make up the remaining 33.3% and has to be submitted by September.

Your future career

By the end of this programme you will have an advanced knowledge and understanding of all the key mathematical principles and applications that underpin modern cryptography and communications. You will have advanced skills in coding, algebra and number theory, and be able to synthesise and interpret information from multiple sources with insight and critical awareness. You will have learnt to formulate problems clearly, to undertake independent research and to express your technical work and conclusions clearly in writing. You will also have valuable transferable skills such as advanced numeracy and IT skills, time management, adaptability and self-motivation.

Graduates from this programme have gone on to carry out cutting-edge research in the fields of communication theory and cryptography, as well as to successful careers in industries such as: information security, IT consultancy, banking and finance, higher education and telecommunications. Our mathematics postgraduates have taken up roles such as: Principal Information Security Consultant at Abbey National PLC; Senior Manager at Enterprise Risk Services, Deloitte & Touche; Global IT Security Director at Reuters; and Information Security Manager at London Underground.

The campus Careers team will be on hand to offer advice and guidance on your chosen career. The University of London Careers Advisory Service runs regular, tailored sessions for mathematics students, on finding summer internships or vacation employment and getting into employment.

  • Open doors to a range of exciting opportunities in academic research or professional employment.
  • Our strong ties with industry mean we understand the needs of employers and we have a strong track record of helping graduates into successful, high-level careers.
  • 90% of our graduates are in work or undertaking further study within six months of leaving (Unistats 2015).


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This programme will show you how to use mathematical techniques to tackle real-life problems ranging from scheduling flights and routing mobile phone calls to managing investments and minimising risks. Read more

This programme will show you how to use mathematical techniques to tackle real-life problems ranging from scheduling flights and routing mobile phone calls to managing investments and minimising risks. Operational Research (OR) is an important skill that is in high demand.

This MSc will give an Operational Research perspective on risk and its management.

Programme structure

This programme involves two taught semesters of compulsory and option courses followed by your dissertation project.

Courses previously offered include:

Compulsory courses:

  • Fundamentals of Optimization
  • Fundamentals of Operational Research
  • Methodology, Modelling and Consulting Skills
  • Simulation
  • Stochastic Modelling

Plus two courses from:

  • Statistical Methodology
  • Probability and Statistics
  • Object-Oriented Programming with Applications
  • Statistical Programming
  • Scientific Computing
  • Python Programming

As part of your option course choices Operational Research with Risk requires you to study a combination from a set of courses which, previously, has included:

  • Credit Scoring
  • Topics in Applied Operational Research
  • Risk and Logistics
  • Topics in Applied Optimization

Career opportunities

The skills you will learn are in demand by a vast range of high-profile organisations including consultancy firms, companies with operational research departments such as airlines or telecommunications providers, financial firms and the public sector.

Recent graduates have joined British Airways, the Government OR Service, Barclays, Deloitte, Capgemini and smaller specialised OR, finance and energy companies.

Industry-based dissertation projects

The dissertation projects of approximately half the students on this programme take place in public and private sector organisations. Other students choose a University-based project.



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This course, commonly referred to as Part III, is a one-year taught Master's course in mathematics. Read more
This course, commonly referred to as Part III, is a one-year taught Master's course in mathematics. It is an excellent preparation for mathematical research and it is also a valuable course in mathematics and in its applications for those who want further training before taking posts in industry, teaching, or research establishments.

Students admitted from outside Cambridge to Part III study towards the Master of Advanced Study (MASt). Students continuing from the Cambridge Tripos for a fourth year, study towards the Master of Mathematics (MMath). The requirements and course structure for Part III are the same for all students irrespective of whether they are studying for the MASt or MMath degree.

There are over 200 Part III (MASt and MMath) students each year; almost all are in their fourth or fifth year of university studies. There are normally about 80 courses, covering an extensive range of pure mathematics, probability, statistics and the mathematics of operational research, applied mathematics and theoretical physics. They are designed to cover those advanced parts of the subjects that are not normally covered in a first degree course, but which are an indispensable preliminary to independent study and research. Students have a wide choice of the combination of courses that they offer, though naturally they tend to select groups of cognate courses. Normally classes are provided as back-up to lecture courses.

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

Course detail

The structure of Part III is such that students prepare between six and nine lecture courses for examination. These lecture courses may be selected from the wide range offered by both Mathematics Departments. As an alternative to one lecture course, an essay may be submitted. Examinations usually begin in late May, and are scheduled in morning and afternoon sessions, over a period of about two weeks. Two or three hours are allocated per paper, depending on the subject. Details of the courses for the current academic year are available on the Faculty of Mathematics website. Details for subsequent years are expected to be broadly similar, although not identical.

Most courses in the Part III are self-contained. Students may freely mix courses offered by the two Mathematics Departments. Courses are worth either two or three credit units depending on whether they last for 16 or 24 lectures respectively. Candidates for Part III may offer a maximum of 19 credit units for examination. In the past it has been recommended that candidates offer between 17 and 19 units. An essay (should a candidate choose to submit one) counts for 3 credit units. Part III is graded Distinction, Merit, Pass or Fail. A Merit or above is the equivalent of a First Class in other Parts of the Mathematical Tripos.

Learning Outcomes

After completing Part III, students will be expected to have:

- Studied advanced material in the mathematical sciences to a level not normally covered in a first degree;
- Further developed the capacity for independent study of mathematics and problem solving at a higher level;
- Undertaken (in most cases) an extended essay normally chosen from a list covering a wide range of topics.

Students are also expected to have acquired general transferable skills relevant to mathematics as outlined in the Faculty Transferable Skills Statement http://www.maths.cam.ac.uk/undergrad/course/transferable_skills.pdf .

Format

Courses are delivered predominantly by either 16 or 24 hours of formal lectures, supported by additional examples classes. As an alternative to one lecture course, an essay may be submitted. There is also the possibility of taking a reading course for examination. There are normally additional non-examinable courses taught each year.

Essay supervision and support for lectures by means of examples classes is approximately 30 hours per year.

Formal examinable lectures and non-examinable lectures total approximately 184 hours per year, of which on average 112 hours are for examinable courses.

Some statistics courses may involve practical data analysis sessions.

There is an opportunity to participate in the Part III seminar series, either by giving a talk or through attendance. This is encouraged but does not contribute to the formal assessment.

Twice a year students have an individual meeting with a member of academic staff to discuss their progress in Part III. Students offering an essay as part of their degree may meet their essay supervisor up to three times during the academic year.

Assessment

Candidates may substitute an essay for one lecture course. The essay counts for 3 credit units.

Lecture courses are assessed by formal examination. Courses are worth either two or three credit units depending on whether they are 16 or 24 hours in length respectively. A 16 hour course is assessed by a 2 hour examination and a 24 hour course, a 3 hour examination. Candidates for Part III may offer a maximum of 19 credit units for examination. In the past it has been recommended that candidates offer between 17 and 19 units.

Continuing

MASt students wishing to apply for the PhD must apply via the Graduate Admissions Office for readmission by the relevant deadline. Applicants will be considered on a case by case basis and offer of a place will usually include an academic condition on their Part III result.

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

Funding Opportunities

There are no specific funding opportunities advertised for this course. For information on more general funding opportunities, please follow the link below.

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

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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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Our Quantitative Finance and Risk Management MSc will develop your understanding of generalist finance issues. You'll also develop specialist practical skills in quantitative methodology and risk management. Read more
Our Quantitative Finance and Risk Management MSc will develop your understanding of generalist finance issues. You'll also develop specialist practical skills in quantitative methodology and risk management.

Worldwide growth in the financial services sector has fuelled the demand for graduates with a sound understanding of generalist finance issues, combined with specialist skills in quantitative methodology and risk management. This course meets this demand. It builds on the Business School’s established strengths in economics and finance.

The course advances your understanding of the:
-Role of finance in a modern economy
-Operation and behaviour of financial markets and investors
-It will enable you to develop a career in the financial services sector. It will also suit future quantitative analysts in economics and finance.

What you'll learn

This course will provide opportunities for you to develop relevant skills and a practical understanding of:
-The behaviour of international financial markets
-The ability to analyse the strategies of financial market investors
-The role of finance in a modern economy

Advanced software

Where possible you will have access to advanced statistical software including:
-Eviews
-SPSS
-Stata
-Gauss
-MATLAB
-SAS
-Maple
-Minitab

You will also have access to a number of financial databases including:
-Bloomberg
-Thompson Financial's DataStream
-Fame
-Amadeus
-WRDS
-Compustat
-CRSP
-Oriana

Your development

On completion of this course, you will be able to demonstrate practical skills and the ability to:
-Deal with complex issues both systematically and analytically
-Use this analysis to make sound judgements
-Deploy advanced analytical techniques in the areas of finance and risk management
-Critically assess the quality of the analytical data generated by these techniques
-Synthesise and present relevant data, conclusions and recommendations to both specialist and non-specialist audiences
-Apply the knowledge, skills and understanding gained on the programme to complex issues within finance and related industries

Career focus

The course will suit those wanting to develop a career in the broad financial services sector. It is particularly relevant to a career as a quantitative analyst in the investment banking and risk management fields.

Graduates from this course have undertaken various roles including:
-Senior Associate Chartered Accountant
-Financial Trader
-Auditor
-Risk Analyst
-Economist
-Financial Analyst
-Investor Relations Advisor

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This programme will show you how to use mathematical techniques to tackle real-life problems ranging from scheduling flights, handling large data sets to managing investments and minimizing risks. Read more

This programme will show you how to use mathematical techniques to tackle real-life problems ranging from scheduling flights, handling large data sets to managing investments and minimizing risks. The skills of Operational Research (OR) and Data Science are in high demand.

The MSc in Operational Research with Data Science is a new, forward-looking programme that delivers high-quality training in operational research, optimization and statistics. Students will have strong technical skills in these areas and the ability to apply them using appropriate software.

This MSc programme delivers:

  • technical skills in operational research, optimization and statistics
  • practical skills in programming and modelling for a wide range of applications
  • communications skills in writing and audio-visual presentation

Programme structure

You need to obtain a total of 180 credits to be awarded the MSc. All students take courses during semester 1 and 2 to the value of 120 credits. Successful performance in these courses (assessed through coursework or examinations or both) permits you to start work on a three-month dissertation project (60 credits) for the award of the MSc degree.

Compulsory courses have previously included:

  • Fundamentals of Optimization
  • Fundamentals of Operational Research
  • Methodology, Modelling and Consulting Skills

Themed courses have previously included:

  • Introductory Applied Machine Learning
  • Bioinformatics 1
  • Machine Learning and Pattern Recognition
  • Statistical Methodology
  • Simulation
  • Object-Oriented Programming with Applications
  • Statistical Programming
  • Scientific Computing

Learning outcomes

At the end of this programme you will have:

  • flexible problem-solving skills based on deep knowledge of operational research, optimization, data analysis techniques and the ability to apply them using appropriate software
  • transferable skills to maximize their prospects for future employment, including writing, oral presentation, team-working, numerical and logical problem-solving, planning and time-management

Career opportunities

Graduates will gain the transferable skills required to pursue careers in a data-rich operational research environment, and will be in an ideal position to apply for work in a wide range of institutions in the public and private sector. The degree is also excellent preparation for further study in operational research, optimization or data science.

Industry-based dissertation projects

The dissertation projects of approximately half the students on this programme take place in public and private sector organisations. Other students choose a University-based project.



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Who is it for?. Read more

Who is it for?

You want to develop a successful career in insurance or risk management; or you already work in one of these fields and want to expand your knowledge and enhance your career potential.  At Cass, you will study both applied and theoretical aspects of insurance and risk management to an advanced level.

Objectives

Our MSc Insurance and Risk Management programme will equip you with the all-round knowledge and skills necessary to succeed in the constantly evolving fields of insurance, risk and risk management.

You will work through a balanced programme which combines a practical approach with sound theory to create a learning environment that is both challenging and stimulating.  You will emerge with a well-regarded and flexible postgraduate degree, solidly positioned to build a successful career in an exciting an increasing complex business world –see ‘Career Pathways’ for testimonials from our past students.

Structure

There are three ways of taking our MSc Insurance and Risk Management programme.

  • A one year full-time course
  • A two year part-time course
  • An exempt route (‘fast track’) course for CII Advanced Diploma holders (8 months full-time or 20 months part-time)

In each case you will

  • Acquire comprehensive knowledge of the theory, principles and practices of insurance and risk management
  • Develop a wide range of technical and conceptual skills
  • Network with your peers and senior finance industry professionals in the City of London
  • Enjoy an enriching environment as part of an international student body
  • Acquire a flexible qualification to prepare you for wide range of roles in insurance, risk management or finance

Assessment

To satisfy the requirements of the degree students must complete:

  • Eight Core courses (15 credits each) (or five Core courses for Exempt Route students)
  • Three Elective courses (10 credits each) and a Business Research Project (40 credits).

Assessment of Core courses on the MSc in Insurance & Risk Management is by means of coursework and unseen examination in most cases.  Elective courses are generally assessed by coursework only.  Coursework may consist of standard essays, individual or group presentations, group reports, classwork, unseen tests or problem sets.  Group work may include an element of peer assessment.

We review all our courses regularly to keep them up-to-date on issues of both theory and practice.

Career pathways

Our MSc Insurance and Risk Management is a long-established course, and we are very proud of the career progression of our many hundreds of past graduates.  They now work in a wide range of organisations around the world, including major global insurance and reinsurance companies, international insurance broking firms, investment and retail banks, leading accountancy firms and management consultants, risk management departments of major corporations, regulatory authorities and many other fields.

Some graduates have pursued further studies (such as PhD) after leaving Cass and embarked on academic careers, others have become successful entrepreneurs and built their own businesses.



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