• Xi’an Jiaotong-Liverpool University Featured Masters Courses
  • University of Surrey Featured Masters Courses
  • Northumbria University Featured Masters Courses
  • Cardiff University Featured Masters Courses
  • Birmingham City University Featured Masters Courses
  • University of Northampton Featured Masters Courses
  • University of Bristol Featured Masters Courses
Cranfield University Featured Masters Courses
Cranfield University at Shrivenham Featured Masters Courses
University of Warwick Featured Masters Courses
University of Leeds Featured Masters Courses
Swansea University Featured Masters Courses
"pure"×
0 miles

Masters Degrees (Pure)

We have 172 Masters Degrees (Pure)

  • "pure" ×
  • clear all
Showing 1 to 15 of 172
Order by 
Overview. The MSc Pure Mathematics offers a modern research-oriented taught course, providing students with a broader and deeper understanding of several core areas of pure mathematics that are of strong current interest and with a solid foundation for a career in research in pure mathematics. Read more

Overview

The MSc Pure Mathematics offers a modern research-oriented taught course, providing students with a broader and deeper understanding of several core areas of pure mathematics that are of strong current interest and with a solid foundation for a career in research in pure mathematics. The programme covers a wide range of topics in algebra, analysis and number theory.

The course is informed by the research interests of the members of the Division of Pure Mathematics

Key facts:

- The School of Mathematical Sciences is one of the largest and strongest mathematics departments in the UK, with over 60 full-time academic staff

- In the latest independent Research Assessment Exercise, the school ranked eighth in the UK in terms of research power across the three subject areas within the School of Mathematical Sciences (pure mathematics, applied mathematics, statistics and operational research)

Modules

Advanced Linear Analysis

Algebraic Geometry

Algebraic Number Theory

Combinatorial Group Theory

Complex Analysis

Further Topics in Analysis

Further Topics in Rings and Modules

Pure Mathematics Dissertation

English language requirements for international students

IELTS: 6.0 (with no less than 5.5 in any element)

Further information



Read less
This one year taught postgraduate programme leads to the degree of MSc in Pure Mathematics and Mathematical Logic. The programme is suitable not only for students who wish to improve their background knowledge prior to applying to undertake a PhD by research, but also for students who wish to enhance their knowledge of postgraduate-level abstract mathematics. Read more

This one year taught postgraduate programme leads to the degree of MSc in Pure Mathematics and Mathematical Logic. The programme is suitable not only for students who wish to improve their background knowledge prior to applying to undertake a PhD by research, but also for students who wish to enhance their knowledge of postgraduate-level abstract mathematics.

The MSc comprises of the taught component, running from the start of the academic year in September until the end of the second semester in late Spring, followed by the dissertation component running from May until September.

During the taught component of the course, you will normally take five units together with a written project.  You may choose exclusively pure topics, or mainly logic modules with a few pure modules. Alternatively, students can choose a mixture of the two. The project is normally an expository account of a piece of mathematics and you will write this under the guidance of a supervisor. The taught component comprises of conventional lectures supported by examples classes, project work and independent learning via reading material.

After successfully completing the taught component, you will prepare a dissertation on an advanced topic in pure mathematics or mathematical logic, normally of current or recent research interest, chosen in consultation with your supervisor.

You can also take the programme part-time, over a period of two years. There is some flexibility in the precise arrangements for this programme, but you would normally attend two lecture courses each semester for three semesters before commencing work on your dissertation.

Aims

The aims of the programme are to provide training in a range of topics related to pure mathematics and mathematical logic, to encourage a sophisticated and critical approach to mathematics, and to prepare students who have the ability and desire to follow careers as professional mathematicians and logicians in industry or research.

Coursework and assessment

The taught component is assessed by coursework, project work and by written examination. The written exams take place at the end of January (for the first semester course units) and the end of May (for the second semester course units). The dissertation component is assessed by the quality and competence of the written dissertation.

The Postgraduate Diploma and Postgraduate Certificate exist as exit awards for students who do not pass at MSc level.

Course unit details

The taught courses cover material related to the research interests of the academic staff. Topics covered in lectured course units normally include: set theory, group theory, dynamical systems and ergodic theory, measure theory, functional analysis, algebraic topology, Godel's theorems, hyperbolic geometry, Lie algebras, analytic number theory, Galois theory, predicate logic, computation and complexity, and other topics relevant to current mathematics.



Read less
Postgraduate combined research and teaching degree programme Pure Mathematics MRes. This programme involves both taught classes in Pure Mathematics and a substantial MRes thesis which accounts for almost two-thirds of the total degree. . Read more

Postgraduate combined research and teaching degree programme Pure Mathematics MRes:

This programme involves both taught classes in Pure Mathematics and a substantial MRes thesis which accounts for almost two-thirds of the total degree. 

The MRes can be used as the first phase of our fast track PhD programme, in which the MRes thesis is extended over a further period of two years into a PhD thesis.

Course details

This programme involves both taught classes in Pure Mathematics and a substantial MRes thesis which accounts for almost two-thirds of the total degree. The minimum period of registration is 12 months. 

The MRes is an ideal preparation for entry into the PhD programme at Birmingham or at any other UK university. Indeed, the MRes programme can be used as the first phase of our fast track PhD programme. This is an excellent option for well-qualified mathematics students who do not have all the necessary mathematical background to start immediately on a PhD in their area of choice. In the fast track programme the MRes thesis is extended over a further period of two years into a PhD thesis. 

Each MRes student is assigned a project supervisor who will act as director and mentor in the preparation of the MRes thesis. This gives each student the opportunity to work one-to-one with mathematicians who are international experts in their fields. 

In addition to the assessed elements of the course, students are expected to play a full part in the research life of the School. The School has an active seminar programme, and organises international conferences in all areas of mathematics.

Related links

Learning and teaching

These courses are approximately one-third course work and two-thirds dissertation. The dissertation is completed under the direction of a project supervisor which gives our students the opportunity to work one-to-one with a leading expert in their field. 

A regular programme of seminars and conferences takes place within the School in a wide range of subjects. Currently thriving at Birmingham are the following research groups:

  • Applied Mathematics: applied analysis, mathematical biology, fluid mechanics, hydrogen energy, fuel cells and their applications, numerical analysis and scientific computation
  • Pure Mathematics: algebra, analysis, combinatorics and logic
  • Theoretical and Computational Optimization: mathematical theory and methods applicable to managerial decision-making
  • Statistics: time series analysis, multivariate statistics, kernel and wavelet based nonparametric smoothing methods, econometrics and medical statistics

Employability

This programme gives comprehensive training in mathematics and areas appropriate to professional development and research foundations. The MRes is an ideal preparation for entry into the PhD programme at Birmingham. In fact, the MRes programme can be used as the first phase of our ?Fast-track? PhD programme.

University Careers Network

Preparation for your career should be one of the first things you think about as you start university. Whether you have a clear idea of where your future aspirations lie or want to consider the broad range of opportunities available once you have a Birmingham degree, our Careers Network can help you achieve your goal.

Our unique careers guidance service is tailored to your academic subject area, offering a specialised team (in each of the five academic colleges) who can give you expert advice. Our team source exclusive work experience opportunities to help you stand out amongst the competition, with mentoring, global internships and placements available to you. Once you have a career in your sights, one-to-one support with CVs and job applications will help give you the edge.

If you make the most of the wide range of services you will be able to develop your career from the moment you arrive.



Read less
Our MSc in Pure Mathematics is offered full-time over one year and part-time over two years. This course provides training in different aspects of Pure Mathematics, equipping you with a range of mathematical skills in problem-solving, project work and presentation. Read more

Our MSc in Pure Mathematics is offered full-time over one year and part-time over two years.

This course provides training in different aspects of Pure Mathematics, equipping you with a range of mathematical skills in problem-solving, project work and presentation.

You have the opportunity to learn advanced core pure mathematics topics together with a range of more specialised options, and undertake an independent research project in your chosen area.

Careers

Our graduates find employment in a range of fields, including education, research, actuarial analysis, risk analysis, investment banking and management consultancy.

Further information

For full information on this course, including how to apply, see: http://www.imperial.ac.uk/study/pg/mathematics/pure-mathematics/

If you have any enquiries you can contact our team at:



Read less
Pure Mathematics at Doctoral level offers the opportunity investigate the purely abstract, theoretical areas of mathematical discovery at the highest level. Read more
Pure Mathematics at Doctoral level offers the opportunity investigate the purely abstract, theoretical areas of mathematical discovery at the highest level.

The School of Mathematics and Physics offers the opportunity to work alongside specialists within the field in a vibrant community,
sharing ideas and experiences.

Postgraduate research in pure mathematics covers the areas of lie algebras and group theory. Training is provided through individual supervision of research and by advanced seminars. As a research student, you can benefit from a comprehensive programme of training designed to develop your research skills and methodologies.

A team of academics will offer advice and support on publishing your work in international journals and presenting at global conferences. You may also have an opportunity to engage in international collaborations during your study.

Research Areas, Projects & Topics

Research Areas:
-Algebra
-Group Theory

For information about the School’s research activity please visit: http://www.lincoln.ac.uk/home/smp/research/

How You Study

You can benefit from specialist computational facilities, training programmes to enhance your research skills and support from dedicated academic supervisors. You will be supported and encouraged to submit papers to international scientific journals, present your findings at conferences and share knowledge with colleagues across the University.

Due to the nature of postgraduate research programmes, the vast majority of your time will be spent in independent study and research. You will have meetings with your academic supervisor, however the regularity of these will vary depending on your own individual requirements, subject area, staff availability and the stage of your programme.

How You Are Assessed

A PhD is usually awarded based on the quality of your thesis and your ability in an oral examination (viva voce) to present and successfully defend your chosen research topic.

Career and Personal Development

Pure Mathematics students have the opportunity to develop the problem solving skills that may lead to careers in academia, research or industry. 

Read less
The Royal Holloway MA in Holocaust Studies is unique; not only are we the only university in the UK to run an MA course solely dedicated to the field of Holocaust Studies but the Royal Holloway . Read more

The Royal Holloway MA in Holocaust Studies is unique; not only are we the only university in the UK to run an MA course solely dedicated to the field of Holocaust Studies but the Royal Holloway Holocaust Research Institute  is the leading academic centre of its kind in Europe. We are internationally recognised for our research, teaching, public advocacy and creative work. This is an ideal MA if you are pursuing an advanced interest in the Holocaust, it will provide you with a further set of skills and a qualification, it also has a highly successful track record as a springboard to doctoral research.

The Research Instiutues’s mission is to promote research into the Holocaust, its origins and aftermath, and to examine the extent to which genocide, war and dictatorship can be understood as defining elements in the history of the twentieth century. It is an international forum bringing together researchers working on different aspects of the Holocaust in a range of disciplines, including history, literary and language studies, film and media studies, philosophy and sociology. 

You have the opportunity to approach the subject from a variety of perspectives with a choice of topics, ranging from the more traditional, historical focus and others which examine the cultural, social, political and religious afterlife of the Holocaust. This degree brings together expert academics from across Royal Holloway, including EnglishModern Languages and History and is taught at the Wiener Library in central London and at our Egham campus.

Our distinctive features include:

Course structure

Core modules

  • History of the Holocaust
  • Interpreting the Holocaust
  • Dissertation

Optional modules

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

  • Representing the Holocaust in British and American Literature
  • Film,Television and The Holocaust
  • A Transnational Holocaust
  • Genocide - Comparative Approaches

Teaching & assessment

Assessment is carried out by coursework and a dissertation. 

The dissertation must be between 14,000 - 16,000 words and is mainly written in the third term and the summer (with a deadline in early September). Students are expected to develop a topic together with their supervisor(s) during the Spring Term. Topics can be taken from various areas, such as the history and representation of the Holocaust or its impact on literatures in different countries, public and visual culture, mass media and digital narratives, and film.

On completion of the course, graduates will have advanced knowledge and understanding of:

  • the most important aspects of the history and historiography of the Holocaust
  • significant intellectual trends in cultural though, philosophy, and representation arising from the Holocaust
  • methods and concepts of various disciplines (historical, literary, philosophical and others)

Your future career

On completion of your MA in Holocaust Studies at Royal Holloway you will have developed and finessed skills, such as research, analysis and presenting, which will appeal to future employers. Your degree also demonstrates that you enjoy being challenged and that you understand complex issues. On graduation you will be ideally placed to develop your career in areas relating to the Holocaust and have a solid foundation for PhD studies.

  • Our Careers team will work with you to enhance your employability and prepare you for the choices ahead. Their support doesn’t end when you graduate; you can access the service for up to two years after graduation.
  • Our graduates are highly employable and, in recent years, have entered many different areas, including careers in academia, charities (such as the Holocaust Educational Trust), museums and the media.


Read less
The School of Mathematics and Physics offers the opportunity to work alongside academics in a vibrant community, sharing ideas and experiences. Read more
The School of Mathematics and Physics offers the opportunity to work alongside academics in a vibrant community, sharing ideas and experiences.

Postgraduate research in pure mathematics covers the areas of lie algebras and group theory. Training is provided through individual supervision of research and by advanced seminars. As a research student, you can benefit from a comprehensive programme of training designed to develop your research skills and methodologies.

A team of academics will offer advice and support in publishing your work in international journals and presenting at global conferences. You may also have the opportunity to engage in international collaborations during your study.

Research Areas, Projects & Topics

Main Research Areas:
-Algebra
-Group Theory

For information about the School’s research activity please visit: http://www.lincoln.ac.uk/home/smp/research/

How You Study

You can benefit from training programmes designed to enhance your research skills and support from dedicated academic supervisors. All our research students are encouraged to submit papers to international scientific journals, present their findings at conferences in the UK and overseas, and share knowledge with colleagues across the University.

Due to the nature of postgraduate research programmes, the vast majority of your time will be spent in independent study and research. You will have meetings with your academic supervisor, however the regularity of these will vary depending on your own individual requirements, subject area, staff availability and the stage of your programme.

How You Are Assessed

The MSc by Research involves writing a Master's thesis under the supervision of a member of academic staff on a topic to be agreed with your supervisor. The MSc by Research is usually awarded based on the quality of your thesis and your ability in an oral examination (viva voce) to present and successfully defend your chosen research topic.

Career and Personal Development

Pure Mathematics students have the opportunity to develop the problem solving skills that may lead to careers in academia, research or industry.

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

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

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

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

Course detail

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

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

Learning Outcomes

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

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

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

Format

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

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

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

Some statistics courses may involve practical data analysis sessions.

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

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

Assessment

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

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

Continuing

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

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

Funding Opportunities

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

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

Read less
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.



Read less
BECOME A DESIRED MATHEMATICIAN. This research oriented Master’s will provide you with a rich toolkit of creative problem solving skills that will turn you into a desired scientist, both in and outside academia. Read more

BECOME A DESIRED MATHEMATICIAN

This research oriented Master’s will provide you with a rich toolkit of creative problem solving skills that will turn you into a desired scientist, both in and outside academia. You will dive deep into mathematics, develope genuine research skills in pure, applied and industrial areas and learn to think out of the box. 

CHOOSE FROM AN EXCEPTIONAL LIST OF COURSES

This Master's is part of the national Mastermath Programme, a collaboration of Dutch Mathematics Departments who joined efforts to enhance their Master's programmes. Due to this collaboration you can benefit from an exceptional list of mathematical courses, offered either by Utrecht University or another Dutch University. Check the courses page for more information and a full overview of the courses you can choose from.

WHY UTRECHT?

We combine our course offerings with personal and small-scale teaching, including:

  • a lively colloquium with distinguished international speakers;
  • research training in small group projects in pure-, applied- and industrial mathematics;
  • a unique special training in using historical sources;
  • student seminars in which you practice your own scientific presentation skills; 
  • collective learning of very advanced topics in pure or applied mathematics.

PERSONALIZE YOUR MASTER'S: CHOOSE YOUR TRACK

Within this Master's you can choose from 8 different tracks, allowing you to tailor the programme to your own personal interest. Depending on the track you choose, you can pursue your degree either in the direction of Fundamental Mathematics or in Mathematical Modeling. 

Fundamental Mathematics tracks:

Mathematical Modeling tracks:

You can also choose to do a Research project in History of Mathematics

DOUBLE MASTER DEGREE

If you are up for it, you can also combine the Mathematical Sciences programme with another Master's programmes of the Graduate School of Natural Sciences (e.g. Theoretical Physics, Climate Physics or Computing Science). This will result in a double Master's degree.

PROGRAMME OBJECTIVE

The Mathematical Sciences programme will prepare you for a challenging career, either in or outside academia. Mathematicians are desired employees in today's job market since they can easily deal with complex problems and large data sets in an abstract way. About 40% of our students continue with a PhD in mathematics or related research areas such as imaging or physics (in recent years at Harvard, London, Oxford, Stanford, etc). Many find employment in a research oriented environment at governments or in industry. Work fields include risk analysis, security, forensics, consultancy, data analytics, IT, logistics and more.



Read less
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.



Read less
Accurate and efficient scientific computations lie at the heart of most cross-discipline collaborations. It is key that such computations are performed in a stable, efficient manner and that the numerics converge to the true solutions, dynamics of the physics, chemistry or biology in the problem. Read more
Accurate and efficient scientific computations lie at the heart of most cross-discipline collaborations. It is key that such computations are performed in a stable, efficient manner and that the numerics converge to the true solutions, dynamics of the physics, chemistry or biology in the problem.

The programme closely follows the structure of our Applied Mathematical Sciences MSc and will equip you with the skill to perform efficient accurate computer simulations in a wide variety of applied mathematics, physics, chemical and industrial problems.

The MSc, has at its core, fundamental courses in pure mathematics and students will be able to take options from both pure and applied mathematics.

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

Core courses

Modelling and Tools;
Functional Analysis;
Partial Differential Equations;
Pure Mathematics (recommended).

Optional Courses

Mathematical Ecology;
Optimization;
Numerical Analysis of ODEs;
Applied Mathematics;
Dynamical Systems;
Stochastic Simulation;
Applied Linear Algebra;
Partial Differential Equations;
Numerical Analysis;
Bayesian Inference and Computational Methods;
Geometry.

Typical project subjects

Domain Decomposition;
Mathematical Modelling of Crime;
The Geometry of Point Particles;
Can we Trust Eigenvalues on a Computer?;
Braess Paradox;
The Ising Model: Exact and Numerical Results;
Banach Alegbras.

The final part of the MSc is an extended project in computational mathematics, giving the opportunity to investigate a topic in some depth guided by leading research academics from our 5-rated mathematics and statistics groups.

Read less
As the only course to explicitly address the topic of sustainable cities, our Sustainable Cities MA, MSc is unique in the UK. It is an interdisciplinary course that focuses on the human and physical processes shaping urban ecologies and environments. Read more

As the only course to explicitly address the topic of sustainable cities, our Sustainable Cities MA, MSc is unique in the UK. It is an interdisciplinary course that focuses on the human and physical processes shaping urban ecologies and environments. We also offer the opportunity to gain practical experience through an internship.

Key benefits

  • Unique in the UK as the only MA/MSc to address sustainable cities explicitly.
  • An exciting interdisciplinary course
  • Internships are available.

Description

Our Sustainable Cities MA, MSc course will give you advanced understanding of contemporary debates about sustainable cities, with a specific focus on the human and physical processes shaping urban ecologies and environments.

We aim to:

  • Develop your critical understanding of the interrelationships between urbanization and human lifestyles, politics, economy, ecology and environment.
  • Develop your critical understanding of human impacts on physical processes in cities, and the implications for habitation and liveability. 
  • Develop your ability to evaluate advanced scholarship in the field of urban policy critically, with reference to sustainable cities.
  • Promote initiative and develop your independent critical judgment in identifying, analysing and solving problems at an advanced level. 
  • Develop your relevant transferable skills which are embedded in our learning and assessment schemes. 
  • Develop your practical skills in data handling, interpretation and use, and develop your skills in connecting physical dynamics to social, political and management processes.
  • Enable you to focus on the challenges of managing cities in an integrated and sustainable manner, regardless of your first degree discipline.
  • Enable you to deploy scientific, social and economic theory within a sustainability framework which takes into account the need to address the needs of society, the economy and the protection of environmental resources.

The course combines pure and applied research methods from human and physical geography, giving you an advanced level understanding of contemporary debates about sustainable cities. We focus on the human and physical processes shaping urban ecologies, environments and social processes.

Course purpose

The degree combines pure and applied research methods from human and physical geography leading to an advanced level understanding of contemporary debates about sustainable cities. Specific foci will be the human and physical processes shaping urban ecologies, environments and social structure and process.

Course format and assessment

Teaching

We will teach you through a combination of lectures and seminars, normally for 20 hours for a 20-credit module. In addition we expect you to complete 180 hours of independent study per module. For your 12,000 word dissertation, we will provide four workshops and five hours of one-to-one supervision to complement your 587 hours of independent study.

Typically, one credit equates to 10 hours of work.

Assessment

Performance on taught modules in the Geography Department is normally assessed through essays and other written assignments, oral presentations, lab work and occasionally by examination, depending on the modules selected. All students also undertake a research-based dissertation of 12,000 words.

Career prospects

The skills that you develop on this course will allow you to excel in a wide range of careers in international organisations, agencies, consultancies, national and city governments, charities, research organisations and academia.

Sign up for more information. Email now

Have a question about applying to King’s? Email now



Read less
We invite MPhil proposals in any of our research areas. In Pure Mathematics our two main fields are functional analysis and geometric algebra. Read more
We invite MPhil proposals in any of our research areas. In Pure Mathematics our two main fields are functional analysis and geometric algebra. In Applied Mathematics our research is predominantly in fluid mechanics, astrophysics and cosmology.

As a research postgraduate in the School of Mathematics and Statistics you will be working under the supervision of an expert in your chosen field. To help you identify a topic and potential supervisor, we encourage you to find out more about our staff specialisms.

Research areas

Within each field of Pure Mathematics there are multiple subgroups. In analysis, one subgroup concentrates on operator theory and function theory, the other on Banach algebras, cohomology and modules. In algebra there are subgroups devoted to the study of infinite groups, and finite classical groups and their geometries

Our Applied Mathematics staff have research interests in:
-Fluid dynamics, including numerical modelling of quantum fluids (superfluid liquid Helium and Bose-Einstein condensates)
-Classical and astrophysical fluids (the Earth's core, planetary dynamos, accretion discs and galaxies)
-Cosmology, including the very early universe and quantum gravity

Research seminars and events

We run weekly research seminars in algebra and geometries, analysis, and applied mathematics, as well as postgraduate seminars led by students.

Specialist courses are offered through the MAGIC distance learning consortium, sponsored in part by the Engineering and Physical Sciences Research Council (EPSRC).

Partnerships and networks

We are part of:
-The North British Functional Analysis Seminar
-The North British Geometric Group Theory Seminar
-Algebra and Representation Theory in the North, funded by the London Mathematical Society and the Edinburgh Mathematical Society

With Durham University, we are part of the Joint Quantum Centre broadly dedicated to various aspects of quantum science.

Facilities

You will have access to online research facilities via your own desktop PC in a shared postgraduate work space. There is also a teaching cluster (of about 150 PCs) within the School.

As well as the library resources provided by the main Robinson Library, you will have access to the School's mathematics and statistics library and reading room.

Read less
This programme develops mathematical modelling skills and provides mathematical techniques required by industry. The period October to June is devoted to lectures, tutorials and practical sessions comprising the core modules. Read more
This programme develops mathematical modelling skills and provides mathematical techniques required by industry.

The period October to June is devoted to lectures, tutorials and practical sessions comprising the core modules.

This is followed by a period of about 14 weeks devoted to an individual project either in an industrial or engineering company or at the University.

Core study areas include mathematical modelling, regular and chaotic dynamics, programming and numerical methods, advanced reliability, availability and maintainability, elements of partial differential equations, static and dynamic optimisation and fluid mechanics.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/mathematics/industrial-maths-modelling/

Programme modules

Compulsory Modules:
Semester 1
- Mathematical Modelling I
- Regular and Chaotic Dynamics
- Programming and Numerical Methods
- Advanced Reliability, Availability and Maintainability

Semester 2
- Mathematical Modelling II
- Elements of Partial Differential Equations
- Static and Dynamic Optimisation
- Fluid Mechanics

Assessment

A combination of written examinations, reports, individual and group projects, and verbal presentations.

Careers and further Study

Graduate employment over a wide range of industries encompassing aerospace, automotive electronics, and computer interests as well as software houses, insurance companies, and research establishments and institutions.

Scholarships and sponsorships

A limited number of scholarships are available for this programme as well as the loyalty bonus scheme which reduces fees for Loughborough graduates.

Why choose mathematics at Loughborough?

Mathematics at Loughborough has a long history of innovation in teaching, and we have a firm research base with strengths in both pure and applied mathematics as well as mathematics education.

The Department comprises more than 34 academic staff, whose work is complemented and underpinned by senior visiting academics, research associates and a large support team.

The programmes on offer reflect our acknowledged strengths in pure and applied research in mathematics, and in some cases represent established collaborative training ventures with industrial partners.

- Mathematics Education Centre (MEC)
The Mathematics Education Centre (MEC) at Loughborough University is an internationally renowned centre of research, teaching, learning and support. It is a key player in many high-profile national initiatives.
With a growing number of academic staff and research students, the MEC provides a vibrant, supportive community with a wealth of experience upon which to draw.
We encourage inquiries from students who are interested in engaging in research into aspects of learning and teaching mathematics at Masters, PhD and Post Doc levels. Career prospects With 100% of our graduates in employment and/or further study six months after graduating, career prospects are excellent. Graduates go on to work with companies such as BAE Systems, Citigroup, Experian, GE Aviation, Mercedes Benz, Nuclear Labs USA and PwC.

- Career prospects
With 100% of our graduates in employment and/or further study six months after graduating, career prospects are excellent. Graduates
go on to work with companies such as BAE Systems, Citigroup, Experian, GE Aviation, Mercedes Benz, Nuclear Labs USA and PwC.

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/mathematics/industrial-maths-modelling/

Read less

Show 10 15 30 per page



Cookie Policy    X