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
- 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)
Advanced Linear Analysis
Algebraic Number Theory
Combinatorial Group Theory
Further Topics in Analysis
Further Topics in Rings and Modules
Pure Mathematics Dissertation
IELTS: 6.0 (with no less than 5.5 in any element)
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.
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.
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:
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.
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.
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.
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.
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.
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.
Our graduates find employment in a range of fields, including education, research, actuarial analysis, risk analysis, investment banking and management consultancy.
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: [email protected]
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.
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.
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).
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.
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.
This programme is for students who have a strength in mathematics and wish to teach in primary schools, focusing solely or mainly on mathematics.
This programme has been devised in response to government policy to train specialist primary mathematics teachers to address identified needs in primary mathematics teaching.
The programme focuses on developing you as a confident mathematics teacher, able to teach higher attaining older children as well as teaching to the range of attainment found in primary schools. As a specialist mathematics teacher you will also be someone able to advise and enthuse colleagues so as to raise attainment throughout the school. As Ofsted (2011) showed, this means ensuring effective mathematics teaching from the Foundation Stage and for all children, not just high attainers.
You will be someone who can demonstrate enthusiasm for the subject and potential to inspire children and colleagues. The aim is to raise the profile of mathematics and confidence and achievement of children.
You will need to demonstrate very good subject knowledge as well as having a strong interest in promoting positive attitudes to mathematics learning. In addition you will need to show you have a good understanding of primary education and a commitment to high expectations for all children.
The course provides both an academic qualification at Masters-level (PGCE) and a recommendation for Qualified Teacher Status (QTS). You will gain from the expertise and enthusiasm of our school mentors and university subject tutors in small, subject-based teaching groups at Roehampton, tailored to your experience and expertise.
A combination of extensive school partnerships, strong pastoral support and a close-knit student community means that you will receive an excellent experience.
The Mathematics Specialist pathway has different modules which are geared towards becoming a specialist Mathematics teacher.
You will focus on the core knowledge, skills and understanding necessary to enter the teaching profession and spend time analysing the primary practices experienced in your placements with a consideration of contemporary issues and research. You will also focus on subject knowledge and pedagogy in the National Curriculum core subjects (English, Mathematics and Science) and foundation subjects (Art and Design, Computing, Design and Technology, Foreign Languages, Geography, History, Music, Physical Education and Religious Education). The foundation subjects are introduced via one group seminar for each of the nine subjects. This session will provide an introduction to the subject including pedagogical techniques and provide a signpost to current research and further reading.
The knowledge in this programme will be a combination of mathematics carried out by the specialists themselves and an in depth study of the mathematics to be taught. You will build a strong awareness of how to transform mathematical ideas into knowledge for teaching. Personal subject knowledge will be addressed through materials such as Roehampton’s very successful Mathematics Enhancement Course, adapted for primary specialists.
You will spend time in school where you will have the opportunity to develop and practice skills and strategies which promote children's learning. During the placement you are expected to draw upon all the other modules in the programme and engage in analysis and evaluation within the framework provided by the PGCE Primary Profile of Professional Development. The focus of this placement is to act as an introduction to effective teaching and learning strategies and to provide an opportunity to observe children as learners, developing an understanding of how a range of factors impact on the learning and well-being of individuals.
Upon application to the programme, trainees choose an age specialism (3-7 years or 5-11 years). This determines the mix of placement schools offered for both SEs.
Here are some of the modules currently available:
Compulsory and Required modules
Compulsory and/or required modules may change when we review and update programmes. Above is a list of modules offered this academic year.
Optional modules, when offered as part of a programme, may vary from year to year and are subject to viability.
96% of our students had gained teaching employment within six months of graduating. Careers in teaching plus a number of our graduates go on to management and leadership roles within schools and other education settings, charity roles, policy advice, national assessment and curriculum development.
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.
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.
Find more reasons to choose Mathematics at Leiden University.
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.
Mathematics underpins our way of life and our prosperity. Its importance ranges from fundamental developments enabling new technologies, to theories backing up scientific research to analysis of our physical and societal environments.
From governments to financial and research institutions, employers today are seeking people with advanced knowledge and skills in mathematics who are able to play a critical role in strategic and analytical decision-making and problem-solving.
The Monash Master of Mathematics is designed for graduates with a bachelor’s degree and a strong foundation in mathematics.
A combination of coursework and project work, this program will appeal to students who love mathematics and want to embark on a career in academia.
It is also suitable for people who seek to develop and deepen their knowledge and skills in mathematics, and develop the capacity to use them to tackle complex problems in a variety of situations.
The flexible coursework offering ensures students can create a program to suit their interests, from pure mathematics that develops the core theory, to statistics and applied and computational mathematics that extend this theory to bring practical solutions to real-world problems. Graduates of the program possess advanced knowledge and skills that make them employable in industry, or prepare them for doctoral studies.
The course is structured in three parts: Part A. Foundation studies, Part B. Intermediate studies, Part C. Advanced studies.
Part A. Foundation studies (24 points)
These studies strengthen the student's foundations in the field of mathematics. Students will choose studies that complement their current knowledge of mathematics, in one or more of the areas of Statistics, or Pure, Applied and Computational mathematics. Students must complete four units (24 points) in mathematics not previously completed in their undergraduate studies, choosing from a range of units including topology, functional analysis and network mathematics.
Part B. Intermediate studies (24 points)
These studies consolidate the student's knowledge in one or more fields in mathematics. Students can choose from a range of units ranging from advanced graph theory, integer programming to interest rate modelling and must complete four units (24 points).
Part C. Advanced studies (48 points)
These studies provide students with advanced knowledge in modern theories and applications of mathematics which will enable students to bring innovative solutions to problems within or outside mathematics. Through a research project students will develop project management and independent research skills.