Pure Mathematics MPhil
Pure Mathematics is a research area within which you can focus your studies as part of our suite of Mathematics research programmes (MPhil, PhD).
The following specialisations are available within this research area:
Ordinary and partial differential equations
Analytical and computational spectral theory
Number theory and its applications
Operator algebras and Noncommutative Geometry
Quantum field theory and statistical mechanics
Conformal field theory and vertex operator algebras
Three research networks have been coordinated from Cardiff:
the EU-TMR Network on Non-Commutative Geometry
the EPSRC Network on Algebraic Geometry, Boundary Conformal Field Theory and Non- Commutative Geometry
the EPSRC Network on Spectral Theory (jointly with a group from the School of Computer Science).
Application Processing Time in Days: 30
Minimum English Language Requirements
|English Level Description||IELTS (1.0 -9.0)||TOEFL IBT (0-120)||TOEFL CBT (0-300)||PTE (10-90)|
|Extremely Limited||< 4||< 31||< 93||< 30|
Job Opportunity Potential
Our courses prepare you for a professional career in a wide range of industries, business and the financial sector, or further study.
Engineers are in high demand, and thanks to our wide range of degree programmes, our graduates’ prospects are among the best in the UK.
of our graduates are
in employment or further study
six months after graduating.
Our graduates go on to work in a range of areas, including industry, the public sector, the financial sector or academia. Some graduate destinations include:
Supplementing your studies
We offer students the option of taking a Year in Industry after their second year of study, which is spent in a professional workplace gaining hands-on experience. This experience can simultaneously improve students’ confidence and employment prospects.
Our MEng (Hons) programmes also have the option of a Year in Europe, which is a year spent at an institution in France, Germany or Spain, after the third year of study. This is a chance not only for students to broaden their personal horizons, but also to develop further academic skills.
Links with industry
Students who are not on the Year in Industry scheme still benefit from industrial input in modules across all engineering disciplines. School-wide project modules are supported by industrial collaboration with a number of companies, including Flintec, Ove Arup and Partners International, Atkins, GL Garrard Hassan, BAE Systems, EADS, and Babcock Marine.
In the waste management, recycling, and energy fields there is significant input from research contracts with companies such as Rolls Royce, EoN, Tata Steel, and Stork Technical Services. Inputs are also received from companies such as Tidal Energy Ltd (TEL), Marine Current Turbines (part of Siemens), Bosch, ANSYS and Mabey Bridge.
In environmental and water engineering, presentations are given by industrially sponsored lecturers from CH2MHILL and Lusas. Direct industrial input also comes from companies including Newport Galvanisers (a subsidiary of Wedge Galvanisers), GBCard and Partners, Jacobs Engineering, Capita Symonds, and Mott-MacDonald.
In today's competitive graduate job market, we recognise that students are always looking for ways to make them stand out to prospective employers. Each year, our students have the opportunity to get involved with some really exciting projects.
Aside from this, there are many extra-curricular opportunities, both social and serious, organised through the School, the University or the Students’ Union.
- 2 Years PSW
Admission Requirement / Eligibility Criteria
Postgraduate taught courses
You will need successful completion of a relevant bachelor's degree from a recognised institution, with grades of approximately 55%-60% to qualify for our postgraduate courses.
Postgraduate research courses
If you are applying for research courses from India, you will be required to provide evidence that you have already carried out research, usually via the successful completion of a relevant master's degree.
You will need successful completion of a relevant bachelor's degree from a recognised institution, with a grade of approximately 55% - 60%. Some Schools will also require the successful completion of a relevant master's programme from a recognised institution.
Equivalent to IELTS 6.5
(with a minimum of 5.5 in each subskill)
Equivalent to IELTS 7.0 overall (with a minimum of 6.0 in each subskill)
Equivalent to IELTS 7.5 overall (with a minimum of 7.5 in each subskill)
IELTS (Academic) test from a recognised IELTS test centre
At least 6.5 overall with a minimum of 5.5 in each subskill
At least 7.0 overall with at least 6.0 in each subskill
At least 7.5 overall with at least 7.5 in each subskill
PTE Academic (Pearson Test of English Academic)
At least 62 overall with a minimum of 51 in all communicative skills
At least 70 overall with no less than 54 in all communicative skills
At least 78 overall with no less than 78 in all communicative skills
TOEFL iBT including Home Edition
At least 90 overall with minimum scores of 17 for writing, 17 for listening, 18 for reading, and 20 for speaking
At least 100 overall with a minimum of 20 in each subskill
At least 109 overall with a minimum of 26 in speaking and 24 in all other subskills
- Course Type: Full Time
- Course Level: Masters/PG Degree
- Duration: 01 Year
Total Tuition Fee:
Annual Cost of Living: 9207 GBP
Application Fee: N/A
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