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The University of Southampton
Mathematical SciencesPostgraduate study

PhD (Integrated) in Mathematical Sciences

This is a programme whose regulations fall under those for an Integrated PhD as outlined in the University Calendar.  Candidates are required to undertake the scheme of study over a period of four years full-time registration, to pass the required examinations, and to submit a thesis not more than 12 months later than the end of the fourth year of study. In exceptional circumstances the Faculty Graduate School directorate may approve a later date for submission. If part-time candidates are permitted, they are required to submit a thesis not more than 12 months later than the end of the seventh year of study.

In the first year, students follow a taught programme of Level 7 modules selected from across a range to be approved by the programme director in consultation with the supervisory team.  Following successful completion of the taught element, students embark on their individual research programme. In all years, the programme provides an integrated series of training modules to help students to develop professional and personal skills as well as scientific expertise.

The research work of each student will be closely supervised and supported, particularly during the research phase of the programme. The student will be monitored according to the progression milestones in the regulations for the Integrated PhD in a Named Subject and the Code of Practice for Research Candidature and Supervision.

View the Course Description Document

Typical entry requirements

Applicants must satisfy the general entry requirements as laid out in the Code of Practice for Research Candidature and Supervision and in particular they must have a first or upper second-class honours degree or equivalent in a discipline which provides relevant quantitative training (e.g. computer science, economics, engineering, mathematics, physics, and statistics).

Selection process

Contact us to find out more about the selection process.

This page contains specific entry requirements for this course. Find out about equivalent entry requirements and qualifications for your country.

Typical course content

All students will complete a one-year Masters level project chosen to prepare them for research. This will be delivered and assessed via the core module MATH6144 (15 ECTS/ 30 CATS).

Students will take a number of modules (comprising an additional 45 ECTS/90 CATS) from a range of modules, at least 30 ECTS/60 CATS of these must be at level 7. Up to 15 ECTS/30 CATS may be chosen from approved alternative modules in related cognate areas.

The selection of modules, dependent on existing knowledge and qualifications, will be chosen by the student in consultation with the supervisory team, and must be approved by the Doctoral Programme Director.

All students will complete a one-year Masters level project chosen to prepare them for research.


MMath Project

Modules are grouped into the following groups: Actuarial Sciences Pure and Applied Mathematics Operational Research Statistics Students are required to select 90 credits from one of these groups.

Actuarial Sciences
Actuarial Mathematics I
Financial Mathematics
Mathematical Finance
Actuarial Mathematics II
Stochastic Processes
Accounting and Finance for Actuarial Science
Pure and Applied Mathematics
Introduction to Semigroup Theory
Differential Geometry and Lie Groups
Homotopy and Homology
Geometric Group Theory
Complex Function Theory
Operational Research
Statistical Methods
Stochastic OR Methods
Analytical Consultancy Skills
Multivariate Statistics for Data Mining
Deterministic OR Methods
Introduction to Python
Statistical Computing
Statistical Theory and Linear Models
Bayesian Methods
Topics in Statistics
Applied Statistical Modelling
Clinical Trials

Tuition fees

Fees for postgraduate research degrees vary across the University. All fees are listed for UK, EU and international full-time and part-time students alphabetically by course name.

View the full list of course fees


Scholarships, bursaries, sponsorships or grants may be available to support you through your course. Funding opportunities available to you are linked to your subject area and/or your country of origin. These can be from the University of Southampton or other sources.

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With leading academics, a multidisciplinary approach and a superb record for the quality of our teaching and our research, Mathematical Sciences offers a vibrant and supportive environment for postgraduate students.

Mathematical Sciences has one of the broadest communities of mathematicians in the UK, spanning pure and applied mathematics, statistics and operational research. Our research includes internationally-recognised projects with partners in engineering, physical and biological sciences and social sciences. We place great importance on the development of graduate skills vital for future employment by adding transferrable skills into learning and teaching.

A PhD is recognised by employers across a wide range of sectors. Our postgraduate research students are highly sought after by other universities, business and industry, NGOs and governments worldwide.

Study locations

Highfield Campus

Highfield Campus

Mathematics is based on the University's Highfield Campus in Building ...Find out more

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