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Mathematics×

Masters Degrees in Mathematics

We have 627 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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The master’s programme Mathematics focuses on analysis and number theory. From applied to fundamental research, and from algebra to data science, our master’s programme spans these fields entirely. Read more

The master’s programme Mathematics focuses on analysis and number theory. From applied to fundamental research, and from algebra to data science, our master’s programme spans these fields entirely.

What does this master’s programme entail?

The two-year master's programme Mathematics has two components: an analysis-oriented component with topics such as dynamical systems, differential equations, probability theory and stochastics, percolation and mathematics in the life sciences, and an algebra/geometry-oriented component with topics such as algebraic number theory, algebraic geometry, algebraic topology and cryptology. The goal of each programme is to train the student as an independent researcher, and to develop the necessary skills and proficiency to advance your career.

Read more about our Mathematics programme.

Why study Mathematics at Leiden University?

  • Your study programme can be fine-tuned to your own mathematical interests, both pure and applied.
  • You will be educated by renowned researchers like Spinoza prize winner Aad van der Vaart and Hendrik Lenstra and receive a top level education in Mathematics.
  • The institute has an extensive international network which allows you to broaden your horizon and provide you with ample opportunities to join interdisciplinary seminars and pursue interdisciplinary research projects.

Find more reasons to choose Mathematics at Leiden University.

Mathematics: the right master’s programme for you?

The master’s programme in Mathematics in Leiden focuses on analysis, probability and statistics, number theory and (arithmetic) geometry. If you are looking for an opportunity to specialize in one of these areas, Leiden is an excellent possibility. Students who have obtained a Master of Science degree in Mathematics possess a thorough theoretical basis, know how to work in a multinational environment, and are able to operate well on the international market.

Read more about the entry requirements for Mathematics.

Specialisations



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The Master of Science in Mathematics (120 ECTS) is a research-based master’s programme in which you can specialize in the following fields of mathematics. Read more

The Master of Science in Mathematics (120 ECTS) is a research-based master’s programme in which you can specialize in the following fields of mathematics: Pure Mathematics: Algebra, Analysis and Geometry; and Applied Mathematics: Statistics, Financial Mathematics, Computational Mathematics, Plasma-Astrophysics. 

What is the Master of Mathematics all about?

Besides a solid, all-round education in mathematics, the programme offers you the possibility to focus on either pure or applied mathematics. This allows you to acquire both breadth of knowledge and depth in your own areas of interest. Pure and applied mathematics courses are firmly grounded in the core research activities of the Department of Mathematics. Gradually, you will gain experience and autonomy in learning how to cope with new concepts, higher levels of abstraction, new techniques, new applications, and new results. This culminates in the Master’s thesis, where you become actively involved in the research performed in the various mathematical research groups of the Departments of Mathematics, Physics, Astronomy and Computer Sciences.

 This is an initial Master's programme and can be followed on a full-time or part-time basis.

Structure

The programme of the Master of Science in Mathematics consists of 120 ECTS. You choose one of the two profiles – Pure Mathematics or Applied Mathematics (54 ECTS) – and one of the two options – Research Option or Professional Option (30 ECTS). The profile allows you to specialize either in pure mathematics (algebra, geometry, analysis), or in applied mathematics (statistics, computational mathematics, fluid dynamics).

There is one common course: ‘Mathematics of the 21st Century’ (6 ECTS). To complete the programme, you carry out a research project that results in a master’s thesis (30 ECTS).

Department

All staff members of the Department of Mathematics are actively involved in the two-year Master of Science in Mathematics programme. The academic staff at the Department of Mathematics consists of leading experts in their fields. Researchers in pure mathematics focus on algebraic geometry, group theory, differential geometry, functional analysis, and complex analysis. Researchers in mathematical statistics deal with extreme values, robust statistics, non-parametric statistics, and financial mathematics. Research in the applied mathematics group is in computational fluid dynamics and plasma-astrophysics.

Career perspectives

Mathematicians find employment in industry and in the banking, insurance, and IT sectors. Many graduates from the research option pursue a career in research and start a PhD in mathematics, mathematical physics, astrophysics, engineering, or related fields.



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The . Subject Knowledge Enhancement (SKE) . Read more

The Subject Knowledge Enhancement (SKE) course, is a full time, campus-based conversion course for those who wish to teach mathematics but have a degree with relatively little mathematics content. The SKE course helps develop a deep understanding of mathematics at A level and beyond and includes some school experience. 

Following successful completion of the SKE course, students are automatically eligible to take up their place on the PostGraduate Diploma Secondary Education (QTS) Mathematics course which currently attracts bursaries of up to £20,000 (depending on qualifications) in line with the government’s priority to attract more well qualified mathematics teachers as well as an additional £10,000 early-career payment once in teaching. Students may also be eligible for a scholarship of £22,000 in lieu of the bursary from the Institute of Mathematics and its Applications (IMA) in collaboration with the London Mathematical Society (LMS), the Mathematical Association (MA), Maths in Education and Industry (MEI) and the Royal Statistical Society (RSS).

Following satisfactory completion of the PGDipEd course, plus a successful induction year in school, students can return to complete an MA in Teaching Studies (data collection and a 15,000 word dissertation).

Download our brochure for information on all our teacher education programmes. 

Course details

The SKE course at Birmingham is a highly rated subject knowledge enhancement course for those who wish to teach mathematics but have a degree with relatively little mathematics content. The course will help you to increase your confidence by developing a deep understanding of mathematics at A level and beyond. The subject enhancement course at Birmingham works on two levels: the development of personal mathematics knowledge, and also thinking about teaching and learning issues whilst being a learner of mathematics. We wish to develop you as a thinking teacher who can be aware of choices in how to teach mathematics and make informed decisions about how you work with students. The SKE course is suitable for career changers as well as those who have recently graduated. Former students include those who have worked in law, banking and marketing as well as those who have worked in schools as teaching assistants.

Following the successful completion of the 24 week full-time SKE course, students are automatically eligible to take up their place on the PGDipEd course.

Please contact the course tutor if you require further information.

If your degree has the equivalent mathematics content of 50% of a mathematics degree then you might like to consider the one year Postgraduate Diploma Secondary Education (QTS) - Mathematics teaching course instead.

We also offer the Postgraduate Diploma Primary Education (SSPIP) Mathematics course if you are interested in teaching young children.

Information on our other PGDipEd (QTS) secondary subjects may be found on the Postgraduate Diploma Secondary Education (QTS) course page. 

Equal Opportunities

The School of Education is committed to equal opportunities in the access to and provision of education. For more information please see the following documents: 

Learning and teaching

The Subject Knowledge Enhancement course (SKE) consists of taught sessions in algebra and calculus, geometries, statistics, operations and structure, mechanics and decision mathematics. Other taught sessions include mathematics education, topics sessions and an introduction to using selected mathematics software. You will be part of self-learning groups which will be given the task of learning about further mathematics topics and presenting a taught session to your fellow students. You will also be put into a group to design a display to engage people in mathematical activity.

During the course, you will have the opportunity to teach small groups of pupils from a nearby school within the confines of the School of Education and will gain experience of teaching in a mathematics department in one of our partnership schools.

Employability

Many local schools have a very high regard for Birmingham mathematics PGDipEd (QTS) students and particularly value students who have completed the SKE course and have been successful on their PGDipEd (QTS) course. 

We have been running this pre-ITE Mathematics course course for over 20 years and have an excellent record of students securing jobs at the end of the course. Many of our ex-students get quickly promoted to more senior roles such as Head of Department and mentor in a partnership school.



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The Primary Mathematics Specialist teacher training course is ideal if you want to teach young children and you have a strong interest in mathematics. Read more

The Primary Mathematics Specialist teacher training course is ideal if you want to teach young children and you have a strong interest in mathematics.

The Postgraduate Diploma in Primary Education is a teacher training programme leading to Qualified Teacher Status (QTS). This Subject Specialist Primary ITT (Initial Teaching Training) Programme (SSPIP), enables you to develop your subject expertise within a primary context. You will learn to teach all the primary curriculum subjects, and will develop specialist expertise in mathematics. The course lays the foundations for you becoming a future leader in mathematics. You will be prepared for employment in a generalist role at the start of your career, where you will ‘champion’ mathematics and inspire children and teachers. The course also prepares you for employment in a more specialist role, teaching mainly or solely mathematics.

We are looking to recruit graduates with strong mathematics subject knowledge who demonstrate an enthusiasm for mathematics and an understanding of the primary context. This course attracts bursaries of £6,000 (depending on qualifications) in line with the government’s priority to increase the number of primary mathematics specialist teachers.

The programme offers the equivalent of 120 credits and these may be used towards our MA in Teaching Studies. Additionally, the School also offers a number of specialised Professional Development programmes which will enable you to further develop your career.

Course details

The School of Education at the University of Birmingham has a long tradition of delivering teacher training courses. Its teaching has been graded as 'outstanding' for the third consecutive time by Ofsted inspectors which reaffirms the University’s status as one of the UK’s leading institutions for excellence in teacher training. 

The Initial Teacher Education course

Our aim is to develop analytic and reflective primary mathematics specialists. As well as offering outstanding teacher training courses, we are one of the few universities that awards the equivalent of 120 credits for successful completion of our courses, which we award at Master’s level. For those who successfully complete their induction year there is an opportunity to transfer credits to the MA Teaching Studies course, which is awarded on completion of a 60 credit dissertation.

Our primary programmes meet all aspects of government requirements for Initial Teacher Training, and qualify you to teach children aged 3-11 years. 

The Primary Mathematics Specialist course has two parts and is designed and delivered in partnership with local schools. The university part develops your understanding of theoretical and practical issues inherent in the teaching of mathematics and of whole school issues within the primary curriculum. Your school based practice enables you to apply what you have learned in the classroom.

You will undertake three main areas of study; Professional Studies, Core Mathematics and Specialist Mathematics. In addition, you will gain a sound understanding of the wider primary curriculum, focusing in particular on the learning and teaching of English and Science. You will also develop your understanding of teaching the foundation subjects through personalised provision, selecting from university input and school experience to support your professional development

The school-based placements enable you to put into practice what you have learned and to develop and refine your teaching skills. You will have the opportunity to teach mathematics and the wider primary curriculum in two different schools. You will teach mathematics to more than one class on each placement, and over the year this will include both Key Stage 1 and Key Stage 2. You are fully supported while on teaching practice by school mentors and university tutors. You will also undertake short special interest placements in the Early Years Foundation Stage and Key Stage 3. These will develop your understanding of progression in children’s mathematical learning and hence your leadership potential.

Our partnership schools vary in size, phase and context, giving you the opportunity to broaden your teaching experience. You will visit outstanding schools and meet primary mathematics leaders. By the end of the course you will have had the experience and support to begin your career as an effective and confident primary teacher, and an enthusiastic mathematics ‘champion.’

If you are interested in teaching young children, but would prefer to train as a generalist rather than a specialist, information on our General Primary and Early Years courses can be found on the Postgraduate Diploma in Primary Education course page. If you are interested in Mathematics, but would prefer to teach older pupils, information on our Secondary courses can be found on the Postgraduate Diploma Secondary Education course page.

Ask our current students and alumni a question

These are experienced postgraduates who have previously studied, or are currently studying, at the University of Birmingham, and they will offer help and advice from a student perspective.

Ask Joshua a question

Equal Opportunities

The School of Education is committed to equal opportunities in the access to and provision of education. For more information please see the following documents:

Learning and teaching

The primary course is designed and delivered by specialist tutors in partnership with local schools. The university based training takes place in spacious rooms that provide a learning environment tailored to promoting high quality primary practice.

Employability

We work closely with the University careers service and local councils in order to provide you with support for the job application process. Our success rate for completion of our primary courses and subsequent employment in schools remains consistently high. In 2015-16 all primary mathematics specialist trainees were offered teaching posts and in 2016-17 all those seeking permanent employment were successful. Primary Mathematics Specialist students are highly employable. A majority of students gain employment in the local region, many of them choosing to remain in partnership schools. Many newly qualified mathematics specialists secure employment in a more generalist post at the start of their career, joining the mathematics leadership team and going on to lead mathematics in their schools.



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The Primary Mathematics Specialist teacher training course is ideal if you want to teach young children and you have a strong interest in mathematics. Read more

The Primary Mathematics Specialist teacher training course is ideal if you want to teach young children and you have a strong interest in mathematics.

The Postgraduate Diploma in Primary Education is a teacher training programme leading to Qualified Teacher Status (QTS). This Subject Specialist Primary ITT (Initial Teaching Training) Programme (SSPIP), enables you to develop your subject expertise within a primary context. You will learn to teach all the primary curriculum subjects, and will develop specialist expertise in mathematics. The course lays the foundations for you becoming a future leader in mathematics. You will be prepared for employment in a generalist role at the start of your career, where you will ‘champion’ mathematics and inspire children and teachers. The course also prepares you for employment in a more specialist role, teaching mainly or solely mathematics.

We are looking to recruit graduates with strong mathematics subject knowledge who demonstrate an enthusiasm for mathematics and an understanding of the primary context. This course attracts bursaries of £6,000 (depending on qualifications) in line with the government’s priority to increase the number of primary mathematics specialist teachers.

The programme offers the equivalent of 120 credits and these may be used towards our MA in Teaching Studies. Additionally, the School also offers a number of specialised Professional Development programmes which will enable you to further develop your career.

Course details

The School of Education at the University of Birmingham has a long tradition of delivering teacher training courses. Its teaching has been graded as 'outstanding' for the third consecutive time by Ofsted inspectors which reaffirms the University’s status as one of the UK’s leading institutions for excellence in teacher training. 

The Initial Teacher Education course

Our aim is to develop analytic and reflective primary mathematics specialists. As well as offering outstanding teacher training courses, we are one of the few universities that awards the equivalent of 120 credits for successful completion of our courses, which we award at Master’s level. For those who successfully complete their induction year there is an opportunity to transfer credits to the MA Teaching Studies course, which is awarded on completion of a 60 credit dissertation.

Our primary programmes meet all aspects of government requirements for Initial Teacher Training, and qualify you to teach children aged 3-11 years. 

The Primary Mathematics Specialist course has two parts and is designed and delivered in partnership with local schools. The university part develops your understanding of theoretical and practical issues inherent in the teaching of mathematics and of whole school issues within the primary curriculum. Your school based practice enables you to apply what you have learned in the classroom.

You will undertake three main areas of study; Professional Studies, Core Mathematics and Specialist Mathematics. In addition, you will gain a sound understanding of the wider primary curriculum, focusing in particular on the learning and teaching of English and Science. You will also develop your understanding of teaching the foundation subjects through personalised provision, selecting from university input and school experience to support your professional development

The school-based placements enable you to put into practice what you have learned and to develop and refine your teaching skills. You will have the opportunity to teach mathematics and the wider primary curriculum in two different schools. You will teach mathematics to more than one class on each placement, and over the year this will include both Key Stage 1 and Key Stage 2. You are fully supported while on teaching practice by school mentors and university tutors. You will also undertake short special interest placements in the Early Years Foundation Stage and Key Stage 3. These will develop your understanding of progression in children’s mathematical learning and hence your leadership potential.

Our partnership schools vary in size, phase and context, giving you the opportunity to broaden your teaching experience. You will visit outstanding schools and meet primary mathematics leaders. By the end of the course you will have had the experience and support to begin your career as an effective and confident primary teacher, and an enthusiastic mathematics ‘champion.’

If you are interested in teaching young children, but would prefer to train as a generalist rather than a specialist, information on our General Primary and Early Years courses can be found on the Postgraduate Diploma in Primary Education course page. If you are interested in Mathematics, but would prefer to teach older pupils, information on our Secondary courses can be found on the Postgraduate Diploma Secondary Education course page.

Learning and teaching

The primary course is designed and delivered by specialist tutors in partnership with local schools. The university based training takes place in spacious rooms that provide a learning environment tailored to promoting high quality primary practice.

Employability

We work closely with the University careers service and local councils in order to provide you with support for the job application process. Our success rate for completion of our primary courses and subsequent employment in schools remains consistently high. In 2015-16 all primary mathematics specialist trainees were offered teaching posts and in 2016-17 all those seeking permanent employment were successful. Primary Mathematics Specialist students are highly employable. A majority of students gain employment in the local region, many of them choosing to remain in partnership schools. Many newly qualified mathematics specialists secure employment in a more generalist post at the start of their career, joining the mathematics leadership team and going on to lead mathematics in their schools.



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

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

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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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.

About this programme

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).

Core modules

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

Optional modules

  • There are no optional modules for this programme

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).

Further information on modules and programme structure is available on the department website: School Direct (Tuition Fee): Mathematics

Funding

Bursaries of up to £25,000 are available to students who meet the eligibility criteria for the Mathematics programme. To find out what funding may be available to you, please visit the Department for Education website.

For a comprehensive list of the funding opportunities available at UCL, including funding relevant to your nationality, please visit the UCL Scholarships and Funding website.

Careers

Graduates of this programme are currently working in a wide range of school roles including as mathematics teachers, heads of mathematics, heads of year, achievement coordinators, and senior leaders.

Employability

Graduates of the Secondary PGCE programme are highly employable and sought after by schools and colleges in London and beyond. Almost all graduates secure their first teaching post by the time they finish the PGCE programme. Graduates of the programme also have great career prospects, with many becoming Head of Department or a Head of Year within 2-5 years, often acting, in their schools, as mentors to new PGCE student teachers. Many of our graduates become senior teachers (such as Assistant Headteachers or Head of a Faculty) in 5-8 years of graduating, and some are now Headteachers. Others have developed their careers as subject specialist teachers and educators, both becoming lead teachers in the classroom and researching, writing and advising other teachers themselves. The Secondary PGCE Programme is a springboard into a rewarding career, not just as a skilled teacher, but as an educational leader.

Why study this programme 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.

Accreditation:

This route leads to the award of QTS (Qualified Teacher Status).



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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.

About this degree

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 a report (30 credits) and additional optional module.

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, one core and one optional module (60 credits), flexible study over a period of up to two years, is offered.

Core modules

  • Understanding Mathematics Education
  • Mathematics for Teachers

Optional modules

  • Digital Technologies for Mathematical Learning
  • What is Education?

Students can also choose optional modules from across the other MA programmes offered by the IOE and/or import a maximum of 90 credits into this programme.

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. 

Further information on modules and degree structure is available on the department website: Mathematics Education MA

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.

Recent career destinations for this degree

  • Secondary School Teacher (Maths), Ming Jen Secondary School
  • Independent School Teacher, Girls Day School Trust (GDST)
  • Secondary School Teacher (Maths and Assistant Head of Year), North London Comprehensive Secondary School

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.

Careers data is taken from the ‘Destinations of Leavers from Higher Education’ survey undertaken by HESA looking at the destinations of UK and EU students in the 2013–2015 graduating cohorts six months after graduation.

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 programmes, practising teachers, and a rich and diverse range of international students.

Research Excellence Framework (REF)

The Research Excellence Framework, or REF, is the system for assessing the quality of research in UK higher education institutions. The 2014 REF was carried out by the UK's higher education funding bodies, and the results used to allocate research funding from 2015/16.

The following REF score was awarded to the department: Curriculum, Pedagogy & Assessment

78% rated 4* (‘world-leading’) or 3* (‘internationally excellent’)

Learn more about the scope of UCL's research, and browse case studies, on our Research Impact website.



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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.

About this programme

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 more up-to-date, developing ideas. It prepares maths student teachers to teach the 11-16 age range.

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).

Core modules

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

Optional modules

  • There are no optional modules for this programme

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).

Further information on modules and programme structure is available on the department website: PGCE Mathematics

Funding

Bursaries are available for some subject programmes to students who meet the eligibility criteria. To find out what funding may be available to you, please visit the Department for Education funding page.

For a comprehensive list of the funding opportunities available at UCL, including funding relevant to your nationality, please visit the UCL Scholarships and Funding website.

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

Graduates of the Secondary PGCE programme are highly employable and sought after by schools and colleges in London and beyond. Almost all graduates secure their first teaching post by the time they finish the PGCE programme. Graduates of the programme also have great career prospects, with many becoming Head of Department or a Head of Year within 2-5 years, often acting, in their schools, as mentors to new PGCE student teachers. Many of our graduates become senior teachers (such as Assistant Headteachers or Head of a Faculty) in 5-8 years of graduating, and some are now Headteachers. Others have developed their careers as subject specialist teachers and educators, both becoming lead teachers in the classroom and researching, writing and advising other teachers themselves. The Secondary PGCE Programme is a springboard into a rewarding career, not just as a skilled teacher, but as an educational leader.

Why study this programme 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.

Accreditation:

Students who successfully complete this programme will be recommended for Qualified Teacher Status (QTS).



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

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

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

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

Description

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

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

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

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

Bloomberg terminal laboratory

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

You will use the Bloomberg terminals to:

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

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

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

Course purpose

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

Course format and assessment

Teaching

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

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

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

Assessment

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

Career destinations

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



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This course provides you with a sound general knowledge of advanced mathematics through study in several pure and applied areas of the subject, including Statistics and Operational Research. Read more

This course provides you with a sound general knowledge of advanced mathematics through study in several pure and applied areas of the subject, including Statistics and Operational Research. A wide choice of topics is available for your dissertation, taken under the supervision of a member of the academic staff.

If you wish to enter employment within the field of Mathematics then this course will enhance your career prospects by promoting a professional attitude to Mathematics. Mathematicians are warmly welcomed in industry, business and commerce for their analytical ability and logical approach to problem solving. The course is particularly suitable if you are planning a career in teaching Mathematics or are already a qualified teacher seeking to enhance your promotion prospects.

What happens on the course?

  • Research Methods and professional Skills
  • Mathematical Modelling
  • Introduction to Cybermetrics
  • Statistics
  • Advanced Topics in Mathematics
  • Discrete Mathematics
  • Dissertation

Why Wolverhampton?

The Mathematics department includes a team of researchers in the field of Introduction to Cybermetrics, led by a professor who has been recognised as a leading international authority on the subject and who achieved a very high rating in the latest Research Assessment Exercise.

We pride ourselves on the academic support and guidance given by our friendly and approachable staff. Students have shown their appreciation for this by the exceptionally high ratings they have given us in the National Student Survey in recent years.

Career path

Students will have developed advanced technical skills within the field of Mathematics together with an ability to critically analyse and evaluate complex problems. These skills should equip students to enter careers in Mathematics in a variety of roles.

There is a shortage of Mathematics-related skills both nationally and regionally, and in particular there is a recognised severe shortage of qualified Mathematics teachers. Hence the Mathematics qualification that this course offers will make its graduates highly employable.

Excellent career opportunities will also be open in operational research, statistics, information analysis, financial advising, actuarial work and accountancy.

What skills will you gain?

You will be able to demonstrate a full understanding, knowledge and experience of complex and specialised areas of mathematics; Select and apply appropriate techniques to the analysis, design and synthesis of solutions to problems which require mathematics for their resolution.

Within this course, you will apply knowledge of mathematics with particular reference to its applications in other subject areas (e.g. mathematical education, analysis and modelling of business and finance, computing and scientific systems).

You will be able to demonstrate originality in the application of knowledge, together with a practical understanding of how established techniques of research and enquiry are used to create and interpret knowledge in mathematics.

Conduct research into current mathematical literature; review, analyse and evaluate findings in a professional manner.

This course will enable you to deal with complex issues both systematically and creatively, making sound judgements in the absence of complete data, and communicating conclusions clearly to specialist and non-specialist audiences.

Who accredits this course?

The approval from the Institute of Mathematics and its Applications is currently being sought.

A student obtaining an approved IMA award can qualify as a Chartered Mathematician once they have completed 5 years employment in a relevant occupation after graduating.



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This course aims to provide you with a sound general knowledge of advanced mathematics through study in several pure and applied areas of the subject, including Statistics and Operational Research. Read more

This course aims to provide you with a sound general knowledge of advanced mathematics through study in several pure and applied areas of the subject, including Statistics and Operational Research.

If you wish to enter employment within the field of Mathematics then this course will enhance your career prospects by promoting a professional attitude to Mathematics. Mathematicians are warmly welcomed in industry, business and commerce for their analytical ability and logical approach to problem solving. The course is particularly suitable if you are planning a career in teaching Mathematics or are already a qualified teacher seeking to enhance your promotion prospects.

What happens on the course?

  • Mathematical Modelling
  • Statistics
  • Introduction to Cybermetrics
  • Discrete Mathematics
  • Advanced topics in Mathematics

Why Wolverhampton?

The Mathematics department includes a team of researchers in the field of Introduction to Cybermetrics, led by a professor who has been recognised as a leading international authority on the subject and who achieved a very high rating in the latest Research Assessment Exercise.

We pride ourselves on the academic support and guidance given by our friendly and approachable staff. Students have shown their appreciation for this by the exceptionally high ratings they have given us in the National Student Survey in recent years.

Career path

Students will have developed advanced technical skills within the field of Mathematics together with an ability to critically analyse and evaluate complex problems. These skills should equip students to enter careers in Mathematics in a variety of roles.

There is a shortage of Mathematics-related skills both nationally and regionally, and in particular there is a recognised severe shortage of qualified Mathematics teachers. Hence the Mathematics qualification that this course offers will make its graduates highly employable.

Excellent career opportunities will also be open in operational research, statistics, information analysis, financial advising, actuarial work and accountancy.

What skills will you gain?

By the end of this course, you should be able to:

  • Demonstrate a full understanding, knowledge and experience of complex and specialised areas of mathematics; Select and apply appropriate techniques to the analysis, design and synthesis of solutions to problems which require mathematics for their resolution.
  • Apply knowledge of mathematics with particular reference to its applications in other subject areas (e.g. mathematical education, analysis and modelling of business and finance, computing and scientific systems).
  • Demonstrate originality in the application of knowledge, together with a practical understanding of how established techniques of research and enquiry are used to create and interpret knowledge in mathematics.
  • Conduct research into current mathematical literature; review, analyse and evaluate findings in a professional manner.
  • Deal with complex issues both systematically and creatively, making sound judgements in the absence of complete data, and communicating conclusions clearly to specialist and non-specialist audiences.

Who accredits this course?

Institute of Mathematics and its Applications approval to be sought.

A student obtaining an approved IMA award can qualify as a Chartered Mathematician once they have completed 5 years employment in a relevant occupation after graduating.



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This course will train you to teach mathematics across the 11-16 or 11-18 age range. It will prepare you to teach the National Curriculum, GCSE and A level. Read more

This course will train you to teach mathematics across the 11-16 or 11-18 age range. It will prepare you to teach the National Curriculum, GCSE and A level. Completion of the 10 month course leads to both a postgraduate qualification and qualified teacher status (QTS).

The course combines master's level academic study of mathematics education with a range of practical experiences. Approximately two-thirds of your time will be spent in partnership schools and colleges developing practical teaching skills with the support of trained mathematics mentors who are experienced teachers. The University works with a large variety of schools, comprehensives, grammar schools, specials schools, pupil referral units and sixth form colleges, which allows us to personalise your school experience to your individual needs.

Your practical training will be underpinned by education theories, ideas and concepts, and by enhancing your awareness of current educational issues and developments.

Mathematics is an exciting and creative subject and you will construct your own understandings through working collaboratively on engaging, challenging tasks and reflecting on your experiences.

What our students say:

Excellent tutors, very experienced and knowledgeable about all areas of teaching and education.

Aims

The course will help you to develop your:

  • understanding of how children and young people learn mathematics;
  • ability to differentiate teaching styles to meet learners' individual needs;
  • motivational and behavior management skills;
  • ability to assess and record learner achievement and raise expectations;¿
  • awareness of historical and cultural roots of mathematics and their relevance to the classroom;
  • appreciation of how mathematics can contribute across the curriculum; and
  • understanding of wider educational issues and current debates in mathematics education.

The University-based sessions will enable you to reflect on teaching learning and pedagogy as well as encouraging you to observe how children learn, including:

  • reflections on mathematics subject knowledge and pedagogy;
  • misconceptions in mathematics;
  • the history of mathematics;
  • the role of proof in the mathematics classroom;
  • the National Curriculum and current debates in mathematics education;
  • planning lessons;
  • assessment for learning;
  • differentiation;
  • managing pupil behavior; and
  • keeping records and using data to support pupils' progress.

Special features

  • Top university to study a PGCE in the North of England (Good Teacher Training Guide 2017).
  • Rated as 'outstanding' by Ofsted.
  • Extensive classroom experience supported by experienced mathematics tutors and mentors.
  • 92% of our graduates in a teaching post within six months of completing the course - consistently better than the North West average (The University of Manchester 2013-2016).

Teaching and learning

The structure of our PGCEs includes both school-based and University-based learning. On our secondary PGCEs, around two thirds of your time will be spent in secondary schools, academies or colleges on placements. You will also need to undertake self-directed study in the evenings and weekends, such as background reading, creating lesson plans and completing written assignments.

In University-based sessions, a wide range of teaching methods are used, including seminars, group discussion, practical workshops, lectures and presentations. You will be an active participant and driver in your own development as you make the transition from subject expert to excellent mathematics teacher.

On placement in schools and colleges, you will observe and teach classes under the guidance of an experienced teacher, who will also act as your mentor. We will endeavor to allocate you to a placement which will secure the optimum educational benefit for your professional development needs. There will also be opportunities to work in a primary setting and to teach in at least two different secondary schools. Teaching hours are established to reflect the time that is required to spend on planning and assessment, particularly in the early stages of your placements. Your mentors will help you to plan lessons, deal with marking and assessment and improve your teaching skills.

What our students say:

'I received excellent support and assistance from my school mentor and all the staff in the department. Everyone was always very willing to help and give advice. Overall a great placement with tons of support!'

Coursework and assessment

Your school and University experiences are formally assessed. Both your mentors and tutors help you to record your achievements and set targets. During each placement, a University tutor will observe you teach and at the end of each school experience you will receive a report from your mentor. The report will grade you in the following areas:   Teaching; Planning, Differentiation and Assessment; Learning Environment and Wider Professional Responsibilities. The grades are awarded by your mentor in conjunction your University tutor. These reports, together with your record of achievement and development facilitate your progression as a teacher.

You are also required to complete a number of written assignments, which will allow you to gain a maximum of 60 master's level credits. On-going guidance and support to complete these assignments will be available from your University tutors.

Scholarships and bursaries

Generous, tax-free funding is available to the best graduates training in a range of subjects. You could get a £20,000 bursary or be awarded a prestigious scholarship - which provides additional support and benefits throughout your training year. You could also receive an additional £10,000 payment once you are in teaching.

Information about additional funding options for September 2018 can be found on the Department for Education website

Home/EU students may be eligible for a repayable tuition fee loan. Home students in England may also be eligible for a repayable student maintenance loan. The loans support available to PGCE students is similar to what is available for undergraduate students and information about government financial support for undergraduate students is available here . 

If you have graduated in the last three years from The University of Manchester with a 1st class honours degree, you may also be eligible for our Alumni Scholarship .



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The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. Read more

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

Why this programme

  • Mathematics at the University of Glasgow is ranked 3rd in Scotland (Complete University Guide 2017).
  • The School has a strong international reputation in pure and applied mathematics research and our PGT programmes in Mathematics offer a large range of courses ranging from pure algebra and analysis to courses on mathematical biology and fluids.
  • You will be taught by experts across a wide range of pure and applied mathematics and you will develop a mature understanding of fundamental theories and analytical skills applicable to many situations.
  • You will participate in an extensive and varied seminar programme, are taught by internationally renowned lecturers and experience a wide variety of projects.
  • Our students graduate with a varied skill set, including core professional skills, and a portfolio of substantive applied and practical work.

Programme structure

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

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

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

Level-H courses (10 or 20 credits)

  • Algebraic & geometric topology
  • Continuum mechanics & elasticity
  • Differential geometry
  • Fluid mechanics
  • Functional analysis
  • Further complex analysis
  • Galois theory
  • Mathematical biology
  • Mathematical physics
  • Numerical methods
  • Number theory
  • Partial differential equations
  • Topics in algebra.

Level-M courses (20 credits)

  • Advanced algebraic & geometric topology
  • Advanced differential geometry & topology
  • Advanced functional analysis
  • Advanced methods in differential equations
  • Advanced numerical methods
  • Biological & physiological fluid mechanics
  • Commutative algebra & algebraic geometry
  • Elasticity
  • Further topics in group theory
  • Lie groups, lie algebras & their representations
  • Magnetohydrodynamics
  • Operator algebras 
  • Solitons
  • Special relativity & classical field theory.

SMSTC courses (20 credits)

  • Advanced Functional Analysis
  • Advanced Mathematical Methods

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

Career prospects

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

Graduates of this programme have gone on to positions such as:

Maths Tutor at a university.



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