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Mathematics×

Masters Degrees in Mathematics

Masters degrees in Mathematics explore advanced mathematical theory and numerical analysis together with their applications in a range of practical contexts from statistics to computing.

Some programmes in this discipline are taught courses, developing core mathematical competencies and advanced numeracy skills. Others are independent research degrees, focussing on theoretical or practical problem-solving techniques. Some are also highly disciplinary, with the opportunity to apply numerical reasoning to the challenges encountered in medical, engineering, or business contexts.

Courses commonly award MSc, MRes or MPhil degrees, depending on their specific areas of focus.

Why study a Masters in Mathematics?

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Take advantage of one of our 100 Master’s Scholarships to study Mathematics at Swansea University, the Times Good University Guide’s Welsh University of the Year 2017. Read more
Take advantage of one of our 100 Master’s Scholarships to study Mathematics at Swansea University, the Times Good University Guide’s Welsh University of the Year 2017. Postgraduate loans are also available to English and Welsh domiciled students. For more information on fees and funding please visit our website.

The MSc Mathematics course has been designed for students who wish to build on their BSc, extending their range of mathematics expertise across a broader spread of topics, and demonstrating their literature research skills through an extended dissertation.

Such a qualification will mark graduates out as having a broader and deeper understanding of mathematics, and the skills required to pursue a significant project with a high level of independence, presenting their results in a written report. This will give MSc Mathematics graduates an edge in the ever more competitive jobs market.

On the Mathematics course you will study different elements of mathematics in a broad sense - including mathematical elements of computing if desired - in addition to developing your research, project management, and written communication skills through a project you will undertake. As a student of MSc in Mathematics, you will be fully supported to ensure that your project further develops an excellent foundation for your future career plans.

Modules

Modules on the MSc Mathematics include:

• Algebraic coding theory
• Biomathematics
• Black-Scholes theory
• Data science
• Differential geometry
• Fourier analysis
• Ito calculus
• Lie theory
• Numerical analysis
• Partial differential equations
• Stochastic processes
• Statistical mechanics
• Topology

Please visit our website for a full description of modules for the MSc Mathematics.

On top of the Mathematics modules you study, you will also complete a dissertation as part of your studies.

Facilities

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

Our main university library, Information Services and Systems (ISS), contains a notably extensive collection of Mathematics books.

Mathematics students will benefit from the £31m Computational Foundry for computer and mathematical sciences which will provide the most up-to-date and high quality teaching facilities featuring world-leading experimental set-ups, devices and prototypes to accelerate innovation and ensure students will be ready for exciting and successful careers. (From September 2018)

Careers

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

Some of our Mathematics students have been employed by AXA, BA, Deutsche Bank, Shell Research, Health Authorities and Local Government. Teaching is another area where Mathematics graduates will find plenty of career opportunities.

Research

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

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

http://www.swansea.ac.uk/postgraduate/taught/science/mscmathematics/

Student Profile

"Further to my studies at Swansea University as a Master of Science graduate in Financial Mathematics, I am currently working at Deutsche Bank in London as part of the Structured Financial Services team providing client services for corporate lending and debt portfolios. The complex nature of the Mathematics course has helped me become a logical decision maker and a highly skilled problem solver. These transferable skills are very useful in the world of Finance since the role is highly challenging working towards deadlines and structured transaction targets. My studies at Swansea University have also enriched me with leadership, motivational skills and have enhanced my communication skills. I work in a close team of 10 people within a large department which encourages a culture that strives towards learning and effective teamwork. I thoroughly enjoyed my time at Swansea University and cherish the many fond memories. I am so pleased to be expanding my horizon within a major financial centre."

Rhian Ivey, BSc Mathematics, MSc Mathematics and Computing for Finance

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Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas. Read more
Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas.

If your mathematical background is insufficient for direct entry to the MSc in Mathematics and its Applications, you may apply for this course. The first year of this Master's programme gives you a strong background in mathematics, equivalent to the Graduate Diploma in Mathematics, with second year studies following the MSc in Mathematics and its Applications.

Visit the website https://www.kent.ac.uk/courses/postgraduate/148/international-masters-in-mathematics-and-its-applications

About the School of Mathematics, Statistics and Actuarial Science (SMSAS)

The School has a strong reputation for world-class research and a well-established system of support and training, with a high level of contact between staff and research students. Postgraduate students develop analytical, communication and research skills. Developing computational skills and applying them to mathematical problems forms a significant part of the postgraduate training in the School.

The Mathematics Group at Kent ranked highly in the most recent Research Assessment Exercise. With 100% of the Applied Mathematics Group submitted, all research outputs were judged to be of international quality and 12.5% was rated 4*. For the Pure Mathematics Group, a large proportion of the outputs demonstrated international excellence.

The Mathematics Group also has an excellent track record of winning research grants from the Engineering and Physical Sciences Research Council (EPSRC), the Royal Society, the EU, the London Mathematical Society and the Leverhulme Trust.

Course structure

At least one modern application of mathematics is studied in-depth by each student. Mathematical computing and open-ended project work forms an integral part of the learning experience. You strengthen your grounding in the subject and gain a sound grasp of the wider relevance and application of mathematics.

There are opportunities for outreach and engagement with the public on mathematics.

Modules

The following modules are indicative of those offered on this programme. This list is based on the current curriculum and may change year to year in response to new curriculum developments and innovation. Most programmes will require you to study a combination of compulsory and optional modules. You may also have the option to take modules from other programmes so that you may customise your programme and explore other subject areas that interest you.

MA552 - Analysis (15 credits)
MA553 - Linear Algebra (15 credits)
MA588 - Mathematical Techniques and Differential Equations (15 credits)
MA591 - Nonlinear Systems and Mathematical Biology (15 credits)
MA593 - Topics in Modern Applied Mathematics (30 credits)
MA549 - Discrete Mathematics (15 credits)
MA572 - Complex Analysis (15 credits)
MA563 - Calculus of Variations (15 credits)
MA587 - Numerical Solution of Differential Equations (15 credits)
MA577 - Elements of Abstract Analysis (15 credits)
MA576 - Groups and Representations (15 credits)
MA574 - Polynomials in Several Variables (15 credits)
MA961 - Mathematical Inquiry and Communication (30 credits)
MA962 - Geometric Integration (15 credits)
MA964 - Applied Algebraic Topology (15 credits)
MA965 - Symmetries, Groups and Invariants (15 credits)
MA968 - Mathematics and Music (15 credits)
MA969 - Applied Differential Geometry (15 credits)
MA970 - Nonlinear Analysis and Optimisation (15 credits)
MA971 - Introduction to Functional Analysis (15 credits)
MA972 - Algebraic Curves in Nature (15 credits)
MA973 - Basic Differential Algebra (15 credits)
CB600 - Games and Networks (15 credits)
MA562 - Nonlinear Waves and Solitons (15 credits)
MA960 - Dissertation (60 credits)

Assessment

Closed book examinations, take-home problem assignments and computer lab assignments (depending on the module).

Programme aims

This programme aims to:

- provide a Master’s level mathematical education of excellent quality, informed by research and scholarship

- provide an opportunity to enhance your mathematical creativity, problem-solving skills and advanced computational skills

- provide an opportunity for you to enhance your oral communication, project design and basic research skills

- provide an opportunity for you to experience and engage with a creative, research-active professional mathematical environment

- produce graduates of value to the region and nation by offering you opportunities to learn about mathematics in the context of its application.

Study support

Postgraduate resources
The University’s Templeman Library houses a comprehensive collection of books and research periodicals. Online access to a wide variety of journals is available through services such as ScienceDirect and SpringerLink. The School has licences for major numerical and computer algebra software packages. Postgraduates are provided with computers in shared offices in the School. The School has two dedicated terminal rooms for taught postgraduate students to use for lectures and self-study.

Support
The School has a well-established system of support and training, with a high level of contact between staff and research students. There are two weekly seminar series: The Mathematics Colloquium at Kent attracts international speakers discussing recent advances in their subject; the Friday seminar series features in-house speakers and visitors talking about their latest work. These are supplemented by weekly discussion groups. The School is a member of the EPSRC-funded London Taught Course Centre for PhD students in the mathematical sciences, and students can participate in the courses and workshops offered by the Centre. The School offers conference grants to enable research students to present their work at national and international conferences.

Dynamic publishing culture
Staff publish regularly and widely in journals, conference proceedings and books. Among others, they have recently contributed to: Advances in Mathematics; Algebra and Representation Theory; Journal of Physics A; Journal of Symbolic Computations; Journal of Topology and Analysis. Details of recently published books can be found within the staff research interests section.

Global Skills Award
All students registered for a taught Master's programme are eligible to apply for a place on our Global Skills Award Programme (http://www.kent.ac.uk/graduateschool/skills/programmes/gsa.html). The programme is designed to broaden your understanding of global issues and current affairs as well as to develop personal skills which will enhance your employability.

Careers

A postgraduate degree in Mathematics is a flexible and valuable qualification that gives you a competitive advantage in a wide range of mathematically oriented careers. Our programmes enable you to develop the skills and capabilities that employers are looking for including problem-solving, independent thought, report-writing, project management, leadership skills, teamworking and good communication.

Many of our graduates have gone on to work in international organisations, the financial sector, and business. Others have found postgraduate research places at Kent and other universities.

Find out how to apply here - https://www.kent.ac.uk/courses/postgraduate/apply/

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Well-qualified mathematics teachers are in high demand in London, the UK and across the world. The Mathematics PGCE programme at the IOE is rigorously informed by research, including developments internationally. Read more
Well-qualified mathematics teachers are in high demand in London, the UK and across the world. The Mathematics PGCE programme at the IOE is rigorously informed by research, including developments internationally. Students learn how to make mathematics meaningful, interesting and fun and how to analyse their own and their pupils’ development.

Degree information

The Mathematics PGCE provides an understanding of the nature of mathematics and why it is taught in schools, how pupils learn to think and reason mathematically and how to teach mathematics in such a way that learners enjoy it and choose to study it. Students will learn how to implement research and evidence informed teaching and how to conduct small scale research of your own. The programme comprises established knowledge in mathematics education, as well as the mose up-to-date, developing ideas.

Students undertake two level 7 (Master’s-level) modules of 30 credits each, totaling 60 credits. These can be carried forward onto full Master’s programmes at the IOE.

The Secondary PGCE consists of three core modules: two Master’s-level (level 7) modules, which are assessed through written assignments, and the Professional Practice module, which is assessed by the observation of practical teaching in placement schools.

Completion of the Professional Practice module and the two level 7 (Master’s level) modules (60 credits) will result in the award of a Postgraduate Certificate of Education (PGCE). Completion of the Professional Practice module and one or two level 6 (undergraduate/Bachelor’s level) modules, will lead to the Professional Graduate Certificate of Education (PgCE). There are no optional modules for this programme.

Core modules
-Mathematics, Curriculum and Pedagogy (30 Master's-level credits)
-Mathematics Curriculum in a Wider Context (30 Master's-level credits)
-Professional Practice

Placement
Student Teachers undertake at least two placements (totaling 120 days) at a school or college, during which time their teaching practice is supported by a school subject tutor and mentor. The Professional Practice module is assessed through these placements, associated tasks and a portfolio. We are fortunate to have a good choice of schools with whom we work, with many outstanding mentors and strong mathematics departments.

Teaching and learning
The Mathematics PGCE is delivered via keynote lectures, subject lectures, seminars, workshops, tutorials and directed study days at the IOE, as well as time spent in placement schools or colleges. Assessment is by the observation of practical teaching, assignments and a portfolio (which links with continuing professional development in the induction year).

Careers

Graduates of this programme are currently working across a broad range of areas. Some are working as advisers and consultants in continuing professional development, while others have jobs as mathematics teachers, heads of department and school leaders. Graduates in this area can also be found working as lecturers and researchers in mathematics education.

Top career destinations for this degree:
-Mathematics Teacher, Unspecified Grammar School
-Mathematics Teacher, Unspecified Girls' School
-Mathematics Teacher, Unspecified Secondary School
-Mathematics Teacher, Unspecified Sixth Form College
-Mathematics Teacher, Unspecified Community College

Employability
A PGCE from the IOE carries considerable currency in schools which, alongside the quality of training you receive, puts you in a strong position in the employment market. Last year, all those students who sought employment in a school were successful. We expect 100% success rate in gaining a post in a school by the end of the year.

Why study this degree at UCL?

In partnership with London schools, we support all routes into mathematics teaching, allowing students to benefit from a team of tutors with a wide range of expertise. Students will also be able to develop strong peer networks to share ideas, resources and advice.

Tutors are skilled classroom practitioners with extensive experience of teaching and leadership in secondary schools, and are all active researchers working with schools and government on policy development in the UK and overseas.

Our joint conference in June brings together nearly 200 Mathematics PGCE students from across all routes to work together with tutors and visiting experts to wrestle with policy issues in mathematics education.

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The University of Northampton has a long standing reputation for high quality teaching and research and is passionate about transforming the lives of children and young people in the UK and internationally. Read more
The University of Northampton has a long standing reputation for high quality teaching and research and is passionate about transforming the lives of children and young people in the UK and internationally.

With its thriving community of practice, Education (Mathematics) at the University of Northampton has established a well-earned national reputation. Our tutors have all taught in schools and are experts in their respective disciplines within the mathematics teaching field: the combination of our expertise is the strength of our teaching team which offers our students far more than the sum of our parts.

Our MA in Education (Mathematics) Pathway offers opportunities for graduates who work in teaching to extend their knowledge, understanding and skills. One students says‘…[the tutor] makes managing studying alongside work manageable. What we learn is so interesting it doesn’t seem like a chore. Thank you.’ (MA in Education [Mathematics] student).

Course content

The MA in Education (Mathematics) Pathway offers Level 7 study to professionals teaching mathematics to:
-Critically evaluate the impact of recent legislation and policy on mathematics provision.
-Enhance their knowledge and understanding of children’s mathematical development.
-Investigate and critique theoretical perspectives in mathematics and their applications to practice.
-Engage with research and literature influencing developments in mathematics teaching policy and practice.
-Critically explore cutting-edge developments in the mathematics teaching field, in the UK and internationally.

Throughout the MA in Education (Mathematics) Pathway, opportunities to engage in deep-level critical reflection with other like-minded professionals and specialist tutors enable our students to gain secure understanding of complex issues in the dynamic and exciting field of mathematics teaching to inform their professional practice.

The MA in Education (Mathematics) offers a flexible approach through standard or blended approaches. Participants can either choose to study a full MA degree, or may exit the programme earlier to attain other qualifications:
-Stage one: two specified M level modules, exit with a Postgraduate Certificate in Primary Mathematics.
-Stage two: two further M level modules, exit with a Postgraduate Diploma in Education (Mathematics).
-Stage three: Dissertation or Research Thesis, leading to the full MA in Education (Mathematics) degree.

Course modules (16/17)

-Research Thesis
-Curriculum Leadership in Mathematics
-Contemporary Issues in Mathematics Education
-Mathematical Topics
-Mathematical Processes
-Inclusion in Mathematics Teaching and Learning
-Organisational based Project
-Principles and Practice in Coaching and Mentoring

Methods of Learning

The entire MA involves 140 hours of taught sessions, all of which are taught as interactive sessions involving activities and discussions. This means students will typically attend classes for six hours per week if studying full time, although this may vary depending on the modules taken. In addition full-time students will be expected to undertake a further 24 hours per week of private study and research. Part-time students taking the course over three years will be expected to do one third of this. You should however be aware that this is not consistently spread across the year and that at some points you may be working considerably more hours in a week. There will also be the chance to attend additional optional sessions and presentations connected to the research undertaken at the Faculty of Education and Humanities.

Assessments

The course assessment involves essays, portfolios, presentations, practical projects and small scale studies. Students will complete their final Dissertation or Research Thesis on a topic negotiated with a tutor.

Careers

Typical career opportunities for MA graduates in the field include leadership roles in schools, lecturing in further and higher education, research in the field of mathematics education and policy development in the field of mathematics education.

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The Mathematics Education MA is for teachers, tutors and others interested in how mathematics is taught and learnt. The programme gives students the opportunity to explore issues in mathematics teaching, to consider the theoretical underpinnings, and to carry out a rigorous study of mathematical learning. Read more
The Mathematics Education MA is for teachers, tutors and others interested in how mathematics is taught and learnt. The programme gives students the opportunity to explore issues in mathematics teaching, to consider the theoretical underpinnings, and to carry out a rigorous study of mathematical learning.

Degree information

In the two core modules students consider research-based developments in mathematics teaching and their related sociological, psychological, curricular and linguistic issues, and they engage with mathematics itself, finding implications for teaching. Optional modules and the independent dissertation/report explore learning with digital technologies, study the wider values and practices of education, and allow teachers to develop and critique their own practice.

Students undertake modules to the value of 180 credits.

The Mathematics Education MA consists of two core modules (60 credits), two optional modules (60 credits) and a dissertation (60 credits) or report (30 credits). A Postgraduate Diploma, two core modules (60 credits), two optional modules (60 credits), full-time nine months or flexible study up to five years, is offered. A Postgraduate Certificate, two optional modules (60 credits),flexible study over a period of up to two years, is offered.

Core modules
-Understanding Mathematics Education
-Mathematics for Teachers

The module A level Mathematics Pedagogy is not scheduled to run in 2017-18, but is an allowed alternative core module, replacing Mathematics for Teachers.

Optional modules
-Digital Technologies for Mathematical Learning
-What is Education?

Dissertation/report
All students undertake an independent research project which culminates in a 17,000-word dissertation or 8,000-word report.

Teaching and learning
Teaching varies according to the modules and includes face-to-face seminars and discussions of reading, mathematical workshops, student presentations, as well as online interactions. Only one module, Digital Technologies in Mathematical Learning, can be studied at a distance.

Careers

Graduates of this programme are currently working across a broad range of areas. Some are working as secondary school heads of mathematics, while others have jobs as primary school mathematics leads. Graduates can also be found working as head teachers and mathematics education lecturers.

Top career destinations for this degree:
-Independent School Teacher, Girls Day School Trust (GDST)
-Maths Tutor, Elm Court School
-Secondary School Teacher (Maths and Assistant Head of Year), Acland Burghley School
-Secondary School Teacher (Maths), Park View
-Primary Teaching (School Direct), Institute of Education, University of London (IOE)

Employability
For most teachers, the Mathematics Education MA enhances their satisfaction in teaching and adds a thoughtful critique that balances the pressures of teaching. It develops skills in mathematics, pedagogy, research methods and writing. This programme is a vital stepping stone to a higher degree in mathematics education and a post in teacher education or education research. For non-teachers, this programme develops transferable skills of writing, critical analysis and understanding of how a mathematical perspective differs from other forms of reasoning.

Why study this degree at UCL?

The Curriculum, Pedagogy and Assessment Department at UCL Institute of Education is a world-leading centre for geography, business, mathematics, history, religious education, citizenship and science education. Students will work with tutors who are at the forefront of mathematics education research and who are directly involved in some of these developments.

The department provides an impressive range of cutting-edge MA and CPD courses, presented in face-to-face, distance learning or mixed mode formats. In addition we offer a first class PhD programme and staff are actively involved in an extensive range of innovative, nationally and internationally acclaimed, research and development projects.

The department's student population is very diverse: students on initial teacher education courses, practising teachers, and a rich and diverse range of international students.

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As the technical sophistication of most professions increases, there is growing need for individuals capable of “speaking the language” of mathematics. Read more
As the technical sophistication of most professions increases, there is growing need for individuals capable of “speaking the language” of mathematics. Mathematicians increasingly are sought to probe and expand mathematical theory, as engineering and empirical science delve deeper into nature. Individuals also are needed to teach the math skills that have expanded into virtually every field. MTSU’s Master of Science in Mathematics gets students involved in both the understanding and creation of advanced mathematics through quality instruction, opportunities for research, and close faculty-student interaction. A General Mathematics concentration is aimed at students desiring a broad background in mathematics. The Industrial Mathematics concentration is designed for students interested in positions in industry or further graduate work in applied mathematics. A Research Preparation concentration, which requires a thesis, is intended for students wishing to pursue the Ph.D. in Mathematics.

Students may choose from three concentrations for the Master of Science (M.S.) in Mathematics: General Mathematics, Industrial Mathematics, or Research Preparat

Career

A majority of M.S. in Mathematics graduates go on to pursue their doctoral degrees at a number of universities. Several students have also entered Ph.D. programs at MTSU in either the Computational Sciences or the Mathematics and Science Education Ph.D. programs.

General Mathematics concentration students usually work in fields which require the specialized thinking skills that mathematicians develop but which do not necessarily require a highly specialized mathematics background.

Research Preparation curriculum gives students a strong background in what is called pure mathematics for a career in academics and mathematical research.

Industrial Mathematics students focus on applied mathematics to work in fields which make heavy use of mathematical modeling. Mathematicians work with programmers to develop highly specialized software tools for engineering and medical applications. Mathematicians help develop or enhance sophisticated models for understanding weather, chemical, biological, or economic processes; and mathematicians create entirely new mathematical tools to probe frontiers in physics, structural design, and other pursuits.

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The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. Read more
The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. It is the medium for expressing knowledge about many physical phenomena and is concerned with patterns, systems, and structures unrestricted by any specific application, but also allows for applications across many disciplines.

Why this programme

-The University of Glasgow’s School of Mathematics and Statistics is ranked 4th in Scotland (Complete University Guide 2015).
-The School has a strong international reputation in pure and applied mathematics research and our PGT programmes in Mathematics offer a large range of courses ranging from pure algebra and analysis to courses on mathematical biology and fluids.
-You will be taught by experts across a wide range of pure and applied mathematics and you will develop a mature understanding of fundamental theories and analytical skills applicable to many situations.
-You will participate in an extensive and varied seminar programme, are taught by internationally renowned lecturers and experience a wide variety of projects.
-Our students graduate with a varied skill set, including core professional skills, and a portfolio of substantive applied and practical work.
-With a 94% overall student satisfaction in the National Student Survey 2014, the School of Mathematics and Statistics combines both teaching excellence and a supportive learning environment.

Programme structure

Modes of delivery of the Masters in Mathematics/Applied Mathematics include lectures, laboratory classes, seminars and tutorials and allow students the opportunity to take part in project work.

If you are studying for the MSc you will take a total of 120 credits from a mixture of Level-4 Honours courses, Level-M courses and courses delivered by the Scottish Mathematical Sciences Training Centre (SMSTC).

You will take courses worth a minimum of 90 credits from Level-M courses and those delivered by the SMSTC. The remaining 30 credits may be chosen from final-year Level-H courses. The Level-M courses offered in a particular session will depend on student demand. Below are courses currently offered at these levels, but the options may vary from year to year.

Level-H courses (10 or 20 credits)
-Algebraic & geometric topology
-Continuum mechanics & elasticity
-Differential geometry
-Fluid mechanics
-Functional analysis
-Further complex analysis
-Galois theory
-Mathematical biology
-Mathematical physics
-Numerical methods
-Number theory
-Partial differential equations
-Topics in algebra

Level-M courses (20 credits)
-Advanced algebraic & geometric topology
-Advanced differential geometry & topology
-Advanced functional analysis
-Advanced methods in differential equations
-Advanced numerical methods
-Biological & physiological fluid mechanics
-Commutative algebra & algebraic geometry
-Elasticity
-Fourier analysis
-Further topics in group theory
-Lie groups, lie algebras & their representations
-Magnetohydrodynamics
-Operator algebras
-Solitons
-Special relativity & classical field theory

SMSTC courses (20 credits)
-Algebra 1
-Algebra 2
-Applied analysis and PDEs 1
-Applied analysis and PDEs 2
-Applied mathematical methods 1
-Applied mathematical methods 2
-Geometry and topology 1
-Geometry and topology 2
-Mathematical modelling 1
-Mathematical modelling 2
-Pure analysis 1
-Pure analysis 2.

The project titles are offered each year by academic staff and so change annually

Career prospects

Career opportunities are diverse and varied and include academia, teaching, industry and finance.

Graduates of this programme have gone on to positions such as:
-Maths Tutor at a university.

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COMMENCES 2017. 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
COMMENCES 2017

Overview

The 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.

Commences:
The programme accepts applications every second year and will not accept applications in 2016. Next intake is expected in 2017.

See the website https://www.maynoothuniversity.ie/mathematics-and-statistics/our-courses/msc-mathematics-education

Minimum English language requirements:
• IELTS: 6.5 minimum overall score
• TOEFL (Paper based test): 585
• TOEFL (Internet based test): 95
• PTE (Pearson): 62

National University of Ireland Maynooth’s TOEFL code is 8850

Course Structure

Two 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 Options

The 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.

Find out how to apply here https://www.maynoothuniversity.ie/mathematics-and-statistics/our-courses/msc-mathematics-education#tabs-apply

Find information on Scholarships here https://www.maynoothuniversity.ie/study-maynooth/postgraduate-studies/fees-funding-scholarships

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This programme is designed for graduates in mathematics, engineering, or science with excellent numeracy skills, wishing to pursue careers in the application of mathematics, in traditional areas such as engineering and science and in service areas such as finance and banking, where knowledge of modern applications of mathematics would be advantageous. Read more
This programme is designed for graduates in mathematics, engineering, or science with excellent numeracy skills, wishing to pursue careers in the application of mathematics, in traditional areas such as engineering and science and in service areas such as finance and banking, where knowledge of modern applications of mathematics would be advantageous. The core philosophy of the programme is to equip students both with mathematics and its applications and with high-level scientific software and associated numerical skills. The Greenwich campus, near the financial district of Canary Wharf, enables the department to build ties with many modern engineering and applied mathematics practitioners enabling our students to become part of a wider group. The Leslie Comrie seminar series, inviting both academics and industrialists, allows you to interact with our external links creating an advantageous learning experience. We provide you the grounds for building a high profile of understanding of current research practices in the industry. Our classes contain interactive applications that enhance the learning experience by innovative teaching practices. Utilising research expertise within the department you will graduate with a strong understanding of numerical methods. You will also develop an understanding for further applicability in various fields of applied mathematics and engineering.

This programme is suitable both for fresh graduates and also for experienced professional practitioners who wish to further their skills. The programme core modules cover modern mathematical skills together with applications across different industries, and there are optional professional modules directly related to research expertise within the Faculty. This ensures that students have an advanced understanding of both theory and practice in their selected specialist areas. Students will gain knowledge of mathematical skills and applications, computational skills, and relevant professional experience, related to traditional engineering and science modelling, modern enterprise applications, finance, and service industries. They will gain an understanding of emerging applications. There will be hands-on training in various development tools and in the use of computational software related to their professional direction. Assessment takes the form of 100% coursework, based on applications of current market practices. A supervised thesis project takes place at the end of the last teaching term during the summer months. Projects are allocated in March and students are invited to undertake a project that provides genuine insight in an area of the research interests within the department. The programme is also available on a part-time basis.

Visit the website http://www2.gre.ac.uk/study/courses/pg/maths/appmaths

Mathematics

Postgraduate mathematics students benefit from award-winning teaching and great facilities. Our programmes are informed by world-renowned research and our links with industry ensure our students develop the academic and practical skills that will enhance their career prospects.

What you'll study

Full time
- Year 1:
Option Set 1

Students are required to study the following compulsory courses.

English Language Support Course (for Postgraduate Students in the School of Computing and Mathematical Sciences)
Masters Project (Maths) (60 credits)
Computational Methods (15 credits)
Mathematical Approaches to Risk Management (15 credits)
Mathematics and its Applications (30 credits)

Students are required to choose 60 credits from this list of options.

Scientific Software Design and Development (15 credits)
Inverse Problems (15 credits)
Mathematics of Complex Systems (15 credits)
Reliability and Optimisation (15 credits)

Option Set 2
Students are required to study the following compulsory courses.

English Language Support Course (for Postgraduate Students in the School of Computing and Mathematical Sciences)
Masters Project (Maths) (60 credits)
Computational Methods (15 credits)
Mathematical Approaches to Risk Management (15 credits)
Mathematics and its Applications (30 credits)

Students are also required to choose 60 credits from this list of options.

Principles and Practice of Evacuation Modelling (30 credits)
Principles and Practice of Fire Modelling (30 credits)

Option Set 3

Students are required to study the following compulsory courses.

English Language Support Course (for Postgraduate Students in the School of Computing and Mathematical Sciences)
Masters Project (Maths) (60 credits)
Computational Methods (15 credits)
Mathematical Approaches to Risk Management (15 credits)
Mathematics and its Applications (30 credits)

Students are also required to choose 45 credits from this list of options.

Scientific Software Design and Development (15 credits)
Inverse Problems (15 credits)
Mathematics of Complex Systems (15 credits)
Reliability and Optimisation (15 credits)

Students are also required to choose 15 credits from this list of options.

Enterprise Software Engineering Development (15 credits)
Software Tools and Techniques (15 credits)
Actuarial Mathematics and Risk Modelling (15 credits)
Financial Time Series (15 credits)
Advanced Finite Difference Methods for Derivatives Pricing (15 credits)

Part time
- Year 1:
Students are required to study the following compulsory courses.

Inverse Problems (15 credits)
Mathematics and its Applications (30 credits)
Reliability and Optimisation (15 credits)

- Year 2:
Students are required to study the following compulsory courses.

Scientific Software Design and Development (15 credits)
Masters Project (Maths) (60 credits)
Computational Methods (15 credits)
Mathematics of Complex Systems (15 credits)

Students are required to choose 15 credits from this list of options.

Advanced Finite Difference Methods for Derivatives Pricing (15 credits)
Mathematical Approaches to Risk Management (15 credits)

Fees and finance

Your time at university should be enjoyable and rewarding, and it is important that it is not spoilt by unnecessary financial worries. We recommend that you spend time planning your finances, both before coming to university and while you are here. We can offer advice on living costs and budgeting, as well as on awards, allowances and loans.

Find out more about our fees and the support available to you at our:
- Postgraduate finance pages (http://www.gre.ac.uk/finance/pg)
- International students' finance pages (http://www.gre.ac.uk/finance/international)

Assessment

100% coursework: a supervised thesis project (during the summer months).

Career options

Our graduates are equipped with the tools to involve in many engineering applications and computational engineering sectors such as reliability engineering, risk management, complex engineering systems, fire safety and finance. Our expert seminar series gives you the opportunity to interact with leading figures from industry and academia and undertake projects of current industry practice. A postgraduate qualification is a major achievement and a milestone in your specialised career path leading to a professional career. The Department also offers a PhD programme which trains highly skilled candidates towards research careers in academia and industry. Our current collaborations for our PhD candidates lie with the STRIKE project for mathematical and computational applications.

Find out how to apply here - http://www2.gre.ac.uk/study/apply

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School Direct (Tuition Fee) is a route into teaching at both primary and secondary levels. Trainees join other student teachers on the established Mathematics PGCE programme at the UCL Institute of Education (IOE), whilst undertaking their teaching experience at their host school or alliance. Read more
School Direct (Tuition Fee) is a route into teaching at both primary and secondary levels. Trainees join other student teachers on the established Mathematics PGCE programme at the UCL Institute of Education (IOE), whilst undertaking their teaching experience at their host school or alliance.

Degree information

The Mathematics PGCE provides an understanding of the nature of mathematics and why it is taught in schools, how pupils learn to think and reason mathematically and how to teach mathematics in such a way that learners enjoy it and choose to study it. Students will learn how to implement research and evidence informed teaching and how to conduct small scale research of your own. Students will also be informed about established knowledge in mathematics education as well as up to date with the latest developing ideas.

Students undertake two Master’s-level (level 7) modules of 30 credits each, totaling 60 credits. These can be carried forward onto full Master’s programmes at the IOE.

The Secondary PGCE consists of three core modules: two Master’s-level modules, which are assessed through written assignments, and the Professional Practice module, which is assessed by the observation of practical teaching in placement schools.

Completion of the Professional Practice module and the two level 7 (Master’s level) modules (60 credits) will result in the award of a Postgraduate Certificate of Education (PGCE). Completion of the Professional Practice module and one or two level 6 (undergraduate/Bachelor’s level) modules, will lead to the Professional Graduate Certificate of Education (PgCE). There are no optional modules for this programme.

Core modules
-Mathematics, Curriculum and Pedagogy (30 Master's-level credits)
-Mathematics Curriculum in a Wider Context (30 Master's-level credits)
-Professional Practice

Placement
Student Teachers undertake at least two placements (totaling 120 days) at a school or college, during which time their teaching practice is supported by a school subject tutor and mentor. The Professional Practice module is assessed through these placements, associated tasks and a portfolio. We are fortunate to have a good choice of schools with whom we work, with many outstanding mentors and strong mathematics departments.

Teaching and learning
The Mathematics PGCE is delivered via keynote lectures, subject lectures, seminars, workshops, tutorials and directed study days at the IOE, as well as time spent in placement schools or colleges. Assessment is by the observation of practical teaching, assignments and a portfolio (which links with continuing professional development in the induction year).

Careers

Graduates of this programme are currently working across a broad range of areas. Some are working as advisers and consultants in continuing professional development, while others have jobs as mathematics teachers, heads of department and school leaders. Graduates in this area can also be found working as lecturers and researchers in mathematics education.

Employability
A PGCE from the IOE carries considerable currency in schools, which alongside the quality of training you receive, puts you in a strong position in the employment market. Last year, all those students who sought employment in a school were successful. We expect 100% success rate in gaining a post in a school by the end of the year.

Why study this degree at UCL?

Well-qualified mathematics teachers are in high demand in London, the UK and across the world. The Maths PGCE programme at the IOE is rigorously informed by research, including developments internationally. Students learn how to make mathematics meaningful, interesting and fun and how to analyse their own and their pupils’ development.

In partnership with London schools, we support all routes into mathematics teaching, allowing students to benefit from a team of tutors with a wide range of expertise. Students will also be able to develop strong peer networks to share ideas, resources and advice.

Tutors are skilled classroom practitioners with extensive experience of teaching and leadership in secondary schools, and are all active researchers working with schools and government on policy development in the UK and overseas.

Our joint conference in June brings together nearly 200 Mathematics PGCE students from across all routes to work together with tutors and visiting experts to wrestle with policy issues in mathematics education.

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Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas. Read more
Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas.

This programme allows you to further enhance your knowledge, creativity and computational skills in core mathematical subjects and their applications giving you a competitive advantage in a wide range of mathematically based careers. The modules, which are designed and taught by internationally known researchers, are accessible, relevant, interesting and challenging.

About the School of Mathematics, Statistics and Actuarial Science (SMSAS)

The School has a strong reputation for world-class research and a well-established system of support and training, with a high level of contact between staff and research students. Postgraduate students develop analytical, communication and research skills. Developing computational skills and applying them to mathematical problems forms a significant part of the postgraduate training in the School.

The Mathematics Group at Kent ranked highly in the most recent Research Assessment Exercise. With 100% of the Applied Mathematics Group submitted, all research outputs were judged to be of international quality and 12.5% was rated 4*. For the Pure Mathematics Group, a large proportion of the outputs demonstrated international excellence.

The Mathematics Group also has an excellent track record of winning research grants from the Engineering and Physical Sciences Research Council (EPSRC), the Royal Society, the EU, the London Mathematical Society and the Leverhulme Trust.

National ratings

In the Research Excellence Framework (REF) 2014, research by the School of Mathematics, Statistics and Actuarial Science was ranked 25th in the UK for research power and 100% or our research was judged to be of international quality.

An impressive 92% of our research-active staff submitted to the REF and the School’s environment was judged to be conducive to supporting the development of world-leading research.

Course structure

At least one modern application of mathematics is studied in-depth by each student. Mathematical computing and open-ended project work forms an integral part of the learning experience. There are opportunities for outreach and engagement with the public on mathematics.

You take eight modules in total: six from the list below; a short project module and a dissertation module. The modules concentrate on a specific topic from: analysis; applied mathematics; geometry; and algebra.

Modules

The following modules are indicative of those offered on this programme. This list is based on the current curriculum and may change year to year in response to new curriculum developments and innovation. Most programmes will require you to study a combination of compulsory and optional modules. You may also have the option to take modules from other programmes so that you may customise your programme and explore other subject areas that interest you.

MA961 - Mathematical Inquiry and Communication (30 credits) - https://www.kent.ac.uk/courses/modules/module/MA961
MA962 - Geometric Integration (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA962
MA963 - Poisson Algebras and Combinatorics (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA963
MA964 - Applied Algebraic Topology (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA964
MA965 - Symmetries, Groups and Invariants (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA965
MA966 - Diagram Algebras (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA966
MA967 - Quantum Physics (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA967
MA968 - Mathematics and Music (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA968
MA969 - Applied Differential Geometry (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA969
MA970 - Nonlinear Analysis and Optimisation (15 credits) - https://www.kent.ac.uk/courses/modules/module/MA970
Show more... https://www.kent.ac.uk/courses/postgraduate/146/mathematics-and-its-applications#!structure

Assessment

Assessment is by closed book examinations, take-home problem assignments and computer lab assignments (depending on the module). The project and dissertation modules are assessed mainly on the reports or work you produce, but also on workshop activities during the teaching term.

Programme aims

This programme aims to:

- provide a Master’s level mathematical education of excellent quality, informed by research and scholarship
- provide an opportunity to enhance your mathematical creativity, problem-solving skills and advanced computational skills
- provide an opportunity for you to enhance your oral communication, project design and basic research skills
- provide an opportunity for you to experience and engage with a creative, research-active professional mathematical environment
- produce graduates of value to the region and nation by offering you opportunities to learn about mathematics in the context of its application.

Careers

A postgraduate degree in Mathematics is a flexible and valuable qualification that gives you a competitive advantage in a wide range of mathematically oriented careers. Our programmes enable you to develop the skills and capabilities that employers are looking for including problem-solving, independent thought, report-writing, project management, leadership skills, teamworking and good communication.

Many of our graduates have gone on to work in international organisations, the financial sector, and business. Others have found postgraduate research places at Kent and other universities.

Learn more about Kent

Visit us - https://www.kent.ac.uk/courses/visit/openday/pgevents.html

International Students - https://www.kent.ac.uk/internationalstudent/

Why study at Kent? - https://www.kent.ac.uk/courses/postgraduate/why/

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Take advantage of one of our 100 Master’s Scholarships to study Mathematics at Swansea University, the Times Good University Guide’s Welsh University of the Year 2017. Read more
Take advantage of one of our 100 Master’s Scholarships to study Mathematics at Swansea University, the Times Good University Guide’s Welsh University of the Year 2017. Postgraduate loans are also available to English and Welsh domiciled students. For more information on fees and funding please visit our website.

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

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

Key Features

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

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

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

The Mathematics Department’s research groups include:

Algebra and Topology Group

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

Analysis and Nonlinear Partial Differential Equations Group

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

Stochastic Analysis Group

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

Mathematical Methods in Biology and Life Sciences Group

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

Employability

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

Facilities

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

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

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

Research

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

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

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

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

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

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

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

Course Structure

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

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

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

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

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

About Mathematical Sciences

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

Teaching

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

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

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

Research

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

- Applied and Computational Mathematics
- Pure Mathematics
- Stochastic Processes

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

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This programme allows students to 'Upgrade to Success'. In other words, you can upgrade a non-standard qualification, or a third class honours degree, to a level equivalent to that of a first or second class honours degree. Read more
This programme allows students to 'Upgrade to Success'. In other words, you can upgrade a non-standard qualification, or a third class honours degree, to a level equivalent to that of a first or second class honours degree.

Why study Mathematics at Dundee?

The qualification that you gain from this course is a marketable addition to your CV. The skills gained through this course are highly transferable; maths is the backbone of many disciplines along a broad range of categories such as sciences and economics.

The material that is currently in the Mathematics programme covers a wide range of topics including mathematical biology, fluid dynamics, magneto hydrodynamics and numerical analysis and scientific computing as well as core subjects such as analysis and mathematical methods.

Please note that this course does not provide a direct entry route to Masters or PhD programmes at Dundee: applications for these programmes are considered separately.

The Graduate Diploma in Mathematics is made up by selecting eight Level 3 or Level 4 modules available in the Division of Mathematics. Each of these consists of 22 lectures and 11 tutorials. The standard of presentation is equivalent to that of an honours degree, and if you have a degree without honours or similar attainment, you may find a Graduate Diploma is a useful way of upgrading your qualifications.

Candidates may take any modules from the pool available, subject to timetable constraints. A total SCOTCAT credit count of 120 credits must be achieved, and since most of the relevant modules are 15 credits each, the normal program of study would consist of eight modules, four taken in each semester.

What's so good about Mathematics at Dundee?

The Mathematics division at the University of Dundee boasts an enviable staff to student ratio. Teachers are able to get to know students on a personal level, enhancing the support they can provide and improving our students' learning experience.

We also provide 24/7 access to computers dedicated to students studying mathematics to further support you throughout your studies.

How you will be taught

You will learn by a combination of lectures, tutorials, workshops and computer practical classes.

What you will study

The Graduate Diploma in Mathematics is made up by selecting eight Level 3 or Level 4 modules available in the Division of Mathematics. Each of these consists of 22 lectures and 11 tutorials. The standard of presentation is equivalent to that of an honours degree, and if you have a degree without honours or similar attainment, you may find a Graduate Diploma is a useful way of upgrading your qualifications.

Candidates may take any modules from the pool available, subject to timetable constraints. A total SCOTCAT credit count of 120 credits must be achieved, and since most of the relevant modules are 15 credits each, the normal program of study would consist of eight modules, four taken in each semester.

How you will be assessed

Coursework (20%) and a written examination (80%).

Careers

Mathematics is central to the sciences, and to the development of a prosperous, modern society. The demand for people with mathematical qualifications is considerable, and a degree in mathematics is a highly marketable asset.

Mathematics graduates are consistently amongst those attracting the highest graduate salaries and can choose from an ever-widening range of careers in research, industry, science, engineering, commerce, finance and education.

Many of our graduates enter the financial sector following career paths in accountancy, banking, the stock market and insurance.

Even if you do not take your mathematics any further than university, employers know that mathematics graduates are intelligent, logical problem solvers. With this training behind you, the career options become almost limitless.

Find out more from our Careers Service website.

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Joining the Department as a postgraduate is certainly a good move. The Department maintains strong research in both pure and applied mathematics, as well as the traditional core of a mathematics department. Read more
Joining the Department as a postgraduate is certainly a good move. The Department maintains strong research in both pure and applied mathematics, as well as the traditional core of a mathematics department. What makes our Department different is the equally strong research in fluid mechanics, scientific computation and statistics.

The quality of research at the postgraduate level is reflected in the scholarly achievements of faculty members, many of whom are recognized as leading authorities in their fields. Research programs often involve collaboration with scholars at an international level, especially in the European, North American and Chinese universities. Renowned academics also take part in the Department's regular colloquia and seminars. The faculty comprises several groups: Pure Mathematics, Applied Mathematics, Probability and Statistics.

Mathematics permeates almost every discipline of science and technology. We believe our comprehensive approach enables inspiring interaction among different faculty members and helps generate new mathematical tools to meet the scientific and technological challenges facing our fast-changing world.

The MPhil program seeks to strengthen students' general background in mathematics and mathematical sciences, and to expose students to the environment and scope of mathematical research. Submission and successful defense of a thesis based on original research are required.

Research Foci

Algebra and Number Theory
The theory of Lie groups, Lie algebras and their representations play an important role in many of the recent development in mathematics and in the interaction of mathematics with physics. Our research includes representation theory of reductive groups, Kac-Moody algebras, quantum groups, and conformal field theory. Number theory has a long and distinguished history, and the concepts and problems relating to the theory have been instrumental in the foundation of a large part of mathematics. Number theory has flourished in recent years, as made evident by the proof of Fermat's Last Theorem. Our research specializes in automorphic forms.

Analysis and Differential Equations
The analysis of real and complex functions plays a fundamental role in mathematics. This is a classical yet still vibrant subject that has a wide range of applications. Differential equations are used to describe many scientific, engineering and economic problems. The theoretical and numerical study of such equations is crucial in understanding and solving problems. Our research areas include complex analysis, exponential asymptotics, functional analysis, nonlinear equations and dynamical systems, and integrable systems.

Geometry and Topology
Geometry and topology provide an essential language describing all kinds of structures in Nature. The subject has been vastly enriched by close interaction with other mathematical fields and with fields of science such as physics, astronomy and mechanics. The result has led to great advances in the subject, as highlighted by the proof of the Poincaré conjecture. Active research areas in the Department include algebraic geometry, differential geometry, low-dimensional topology, equivariant topology, combinatorial topology, and geometrical structures in mathematical physics.

Numerical Analysis
The focus is on the development of advance algorithms and efficient computational schemes. Current research areas include: parallel algorithms, heterogeneous network computing, graph theory, image processing, computational fluid dynamics, singular problems, adaptive grid method, rarefied flow simulations.

Applied Sciences
The applications of mathematics to interdisciplinary science areas include: material science, multiscale modeling, mutliphase flows, evolutionary genetics, environmental science, numerical weather prediction, ocean and coastal modeling, astrophysics and space science.

Probability and Statistics
Statistics, the science of collecting, analyzing, interpreting, and presenting data, is an essential tool in a wide variety of academic disciplines as well as for business, government, medicine and industry. Our research is conducted in four categories. Time Series and Dependent Data: inference from nonstationarity, nonlinearity, long-memory behavior, and continuous time models. Resampling Methodology: block bootstrap, bootstrap for censored data, and Edgeworth and saddle point approximations. Stochastic Processes and Stochastic Analysis: filtering, diffusion and Markov processes, and stochastic approximation and control. Survival Analysis: survival function and errors in variables for general linear models. Probability current research includes limit theory.

Financial Mathematics
This is one of the fastest growing research fields in applied mathematics. International banking and financial firms around the globe are hiring science PhDs who can use advanced analytical and numerical techniques to price financial derivatives and manage portfolio risks. The trend has been accelerating in recent years on numerous fronts, driven both by substantial theoretical advances as well as by a practical need in the industry to develop effective methods to price and hedge increasingly complex financial instruments. Current research areas include pricing models for exotic options, the development of pricing algorithms for complex financial derivatives, credit derivatives, risk management, stochastic analysis of interest rates and related models.

Facilities

The Department enjoys a range of up-to-date facilities and equipment for teaching and research purposes. It has two computer laboratories and a Math Support Center equipped with 100 desktop computers for undergraduate and postgraduate students. The Department also provides an electronic homework system and a storage cloud system to enhance teaching and learning.

To assist computations that require a large amount of processing power in the research area of scientific computation, a High Performance Computing (HPC) laboratory equipped with more than 200 high-speed workstations and servers has been set up. With advanced parallel computing technologies, these powerful computers are capable of delivering 17.2 TFLOPS processing power to solve computationally intensive problems in our innovative research projects. Such equipment helps our faculty and postgraduate students to stay at the forefront of their fields. Research projects in areas such as astrophysics, computational fluid dynamics, financial mathematics, mathematical modeling and simulation in materials science, molecular simulation, numerical ocean modeling, numerical weather prediction and numerical methods for micromagnetics simulations all benefit from our powerful computing facilities.

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