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Masters Degrees in ProbabilityWe have 37 Masters Degrees in ProbabilityMasters degrees in Probability involve advanced study of the calculation of chance through mathematical methods. In other words, they aim to help you measure the likelihood of the occurrence of certain events.

Related postgraduate disciplines include Financial Mathematics, Operational Research and Actuarial Science.

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Why study a Masters in Probability?Probability is a key practice in many fields, and is particularly helpful in negotiating the operations of activities within different sectors and professional practices, either to try and stop events from happening or increase the chances of them occurring.

This includes areas such as Environmental Science, particularly in relation to weather predictions, climate change and biodiversity 3 Jul 2015 - But when you get probability questions in your GRE and GMAT exam syllabus, Understanding the basic rules and formulas of probability will help you score high is probable; the likelihood of something happening or being the case'. Example: In a class, 40% of the students study math and science..

By surveying and collecting data about our current landscapes, professionals can estimate how likely it is that certain events will occur, and often the rate at which will they will happen. The extinction of a species is a common example of this.

Other fields include Actuarial Science, whereby financial investors can try to predict shortfalls in stocks or profits, and help to boost economic activity in areas such as insurance, banking and loans. You may also be employed in industries such as healthcare, defence, aerospace, automotives, artificial intelligence and retail.

Keywords: Order by This programme is now closed but you may want to consider other courses such as the .

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.

DescriptionFinancial 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 managementLike 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 laboratoryKing’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 marketsDevelop potential investment strategiesExperience 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.

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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 assessmentTeachingWe use lectures, seminars and group tutorials to deliver most of the modules on the programme Masters degrees in Probability involve advanced study of the calculation of chance through Institution profile for King's College London You will explore probability theories, risk neutral valuation, stochastic analysis as well as interest You can study this Mathematical Sciences MSc programme full-time or part-time..

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

Career destinationsOur 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. Email nowHave a question about applying to King’s? Email now 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 - 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 FactsREF 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. 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 prospectsThe 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.

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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 Preface. Probability theory began in seventeenth century France when the two great French it is both useful and fun to use the computer in the study of probability. For the case of the roll of the die we would assign equal probabilities or probabilities If the ball stops on your number, you get your dollar back plus 35..

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 courseMathematical 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. AimsFinancial 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 ContentProgramme 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: 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 How does a bank check whether your digital signature is a valid one? Do planets move in stable orbits or will they eventually collide? How can a 3D-sphere within the 3D-figures be characterized?. Read more… How does a bank check whether your digital signature is a valid one? Do planets move in stable orbits or will they eventually collide? How can a 3D-sphere within the 3D-figures be characterized? The mathematics behind these questions is dealt with in the Master's degree programme in Mathematics.

The objective of the Master's degree in Mathematics is to teach you the mathematical knowledge, skills and attitude needed to pursue a professional (research) career. You will gain specialized mathematical knowledge in selected areas such as algebra and geometry, dynamical systems and analysis, and statistics probability theory.

Furthermore, you will learn how to solve a problem by using abstraction and modelling and to find scientific literature on the subject. You will be able to determine whether the problem can be solved by using existing mathematical theory or whether new theory should be developed.

Finally, you will learn how to present mathematical results in written and oral form, for both specialized and general audiences. The Master's programme in Mathematics offers four specialisations: * Algebra and Geometry 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: -Risk management in modern banking -Financial 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.

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This course can also be studied to a PGDip level - for more information, please view this web-page: /courses/ ?mastercourse=PG00610&subgroup=2Our expert staffOur Department of Mathematical Sciences is a small but influential department, so our students and staff know each other personally College of Engineering The basic concepts will be illustrated by use of case studies. 310, 311. Elements of Probability and Mathematical Statistics I and II. treatment of experimental data: normal sampling theory; confidence intervals and .

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 futureThere 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 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.

Schweizer (ETH Zurich and Swiss Finance Institute) An overview of quadratic hedging and related topicsProfessor H.

Follmer (Humboldt University of Berlin) Monetary valuation of cash flows under Knightian uncertaintyProfessor M. Davis (Imperial College London) Contagion models in credit riskThe 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.

university lecturer) or continue the study at doctoral level, particularly those wishing to pursue further/advanced studies in Mathematical Finance.

Coursework and assessmentTeaching 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 detailsThere 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 informationThe 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) 1 Oct 2007 - Probability theory is fundamentally important to inferential statistical analysis. This is often the case, even when the sample means are significantly different. The study comparing two hypotensive agents could be designed differently. Royal College of Anaesthetists College of Anaesthetists of Ireland .

For general fees information please visit: postgraduate fees .

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

Disability supportPractical support and advice for current students and applicants is available from the Disability Advisory and Support Service. Email: email protected Career opportunitiesThe 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.

university lecturer) or continue the study at doctoral level, particularly those wishing to pursue further/advanced studies in Mathematical Finance.

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 DetailsSix 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 & classesLectures 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 workLab work will give you hands-on experience of using software to perform finance-related calculations, conduct realistic simulations, and write code. Your dissertationA 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. 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.

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.

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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 In fact, we will study probability theory based on the theory number of elements in the sample space S. For a discrete case, the probability of an event A can be .

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 The Master in Actuarial Science at ISEG - Lisbon School of Economics and Management, was designed according to the international requirements for the actuarial profession.

Read more… The Master in Actuarial Science at ISEG - Lisbon School of Economics and Management, was designed according to the international requirements for the actuarial profession. It is meant to cover most of the course materials indispensable for the accreditation of an actuary in the European Union.

The programme offers a solid academic foundation in actuarial science, statistics and finance, providing you the skills to become a successful actuary. Our Masters in Actuarial Science is one of only a few to be accredited by the UK actuarial profession, the Institute and Faculty of Actuaries.

A good performance can lead to exemptions from the professional examinations CT1, CT2, CT3, CT4, CT5, CT6 and CT8. If you have a BSc from ISEG you may have also exemption from CT7.

Our Master is also in the SOA (Society of Actuaries, in North America) UCAP list. During the fourth semester, you may take a training post in an insurance company.

It is accredited by the Portuguese Agency for Assessment and Accreditation of Higher Education - A3ES. ISEG Actuarial Science Club is entirely managed by our students.

They arrange a series of seminars by industry professionals (most of them alumni from our Masters) and popular social events. Credits: 120 ECTS The Masters Programme aims to develop students’ mathematical and computational skills, and also those in financial modelling.

The curriculum includes such subjects as probability theory, stochastic calculus, numerical methods, optimisation and control theory, stochastic finance, interest rate models and credit risk. Read more… The Masters Programme aims to develop students’ mathematical and computational skills, and also those in financial modelling.

The curriculum includes such subjects as probability theory, stochastic calculus, numerical methods, optimisation and control theory, stochastic finance, interest rate models and credit risk. It thus provides a thorough training in modern mathematical finance.

In studying for our Masters, students are put in contact with the most important technical and quantitative topics of finance, both theoretical and applied, which range from mathematical background to the latest trends in the financial sector. Increasingly, the financial sector demands a Masters degree in Mathematical Finance from a prestigious university as a prerequisite for recruitment.

Our students have often been recruited by prominente companies whilst still preparing their Masters’ thesis, at both a national and na international level. Amongst others, such companies include: EY, Mercer, KPMG, Deloitte, CGD, the Bank of Portugal, BNP Paribas, BPI, Banque Europ enne d’Investissement (EIB), Banque Centrale Europ enne, Lloyds Bank, and Santander bank.

ISEG - Lisbon School of Economics and Management, of ULisboa, has well established departments of Mathematics, Economics and Management, which enables our students to benefit from the consequent synergies, and it provides excellent conditions for hosting the Masters in Mathematical Finance. This fact, together with the high quality of the academic staff of this Masters, all of whom hold PhDs from prestigious universities (such as the Stockholm School of Economics and the Universities of Oxford, Edinburgh and Barcelona), makes it unique in our country.

This course, commonly referred to as Part III, is a one-year taught Master's course in mathematics.

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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) In fact, we will study probability theory based on the theory number of elements in the sample space S. For a discrete case, the probability of an event A can be .

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. Course detailThe 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 OutcomesAfter 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 /undergrad/course/transferable .

FormatCourses 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 This article presents a case study of a learner engaged with a probability paradox. are conceptual and epistemological; that engagement with paradox can be a Gregory ChaitinInformation, randomness and incompleteness: Papers on algorithmic information theory St. Olaf College, Northfield, MN (1992, June 24–27)..

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Students offering an essay as part of their degree may meet their essay supervisor up to three times during the academic year. AssessmentCandidates may substitute an essay for one lecture course.

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.

ContinuingMASt 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.

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

The course is aimed primarily at teachers of Mathematics at second level including those who may not have Mathematics to honours degree level. Read more… OverviewThe course is aimed primarily at teachers of Mathematics at second level including those who may not have Mathematics to honours degree level.

Applications are also welcome from prospective second level teachers and from other professionals in the second level education community. Course StructureTwo thirds of the course will consist of Mathematics and one third will be Mathematics Education.

The Mathematics component of the course will be delivered by the Mathematics Department of Maynooth University. Topics will include: Number Theory, the History of Mathematics, Problem Solving and Proof, Geometry, Probability and Statistics, Algebra and Analysis.

Attention will be paid in each module to the ways in which these topics could be used to enrich the teaching of Mathematics at second level. A panel of international experts will deliver the Mathematical Education component.

These modules will introduce students to the latest research in this field and will draw on students experience as teachers. Career OptionsThe Mathematics modules aim to improve the skill set of Mathematics teachers by deepening their understanding of Mathematics, especially the Mathematics underlying the second level curriculum.

How To ApplyNOTE: The programme accepts applications every second year and will not accept applications in 2016. PAC Code MHR60 The following information should be forwarded to PAC, 1 Courthouse Square, Galway or uploaded to your online application form: Certified copies of all official transcripts of results for all qualifications listed MUST accompany the application. Failure to do so will delay your application being processed.

All applicants are asked to provide two academic references. Non-Maynooth University students are asked to provide a copy of their birth certificate or valid passport.