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Integrated PhD in Statistical Applied Mathematics PhD

Most students complete this programme in 4 years full-time

The SAMBa PhD delivers research at the interface of applied mathematics, numerical analysis, probability and statistics.

An Integrated PhD from the Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa) provides training in a broad range of mathematical, computational and statistical skills, as well as beneficial collaboration with industry, government and applied sciences throughout the course.

Since graduating, alumni are now working successfully in academia and industry.

Programme structure

Most students complete this programme in 4 years. You cannot take less than 2 years to finish your research and the maximum time you are allowed is normally 4 years.

You will start this programme in September.

Occasionally we make changes to our programmes in response to, for example, feedback from students, developments in research and the field of studies, and the requirements of accrediting bodies. You will be advised of any significant changes to the advertised programme, in accordance with our Terms and Conditions.

Your academic progress and general welfare will be monitored by your supervisor.

Academic milestones

  1. Registration
  2. Induction
  3. Taught phase
  4. Candidature
  5. Confirmation
  6. Research
  7. Writing up
  8. Give notice of intention to submit a thesis / portfolio
  9. Submission for examination
  10. Examination (Viva Voce)
  11. Examiners report
  12. Final submission of thesis / portfolio
  13. Graduation

Programme content


  • Doctoral skills online
  • Doctoral skills workshop
  • Interaction and networking
  • Lectures
  • Research project
  • Seminars
  • Supervisory team
  • Tutorials
  • Workshops

Taught content

SAMBa offers a 4-year PhD programme, including initial training to develop breadth of knowledge and research skills.


We encourage you to explore opportunities to undertake an academic or industrial placement during your PhD.

Research content

SAMBa supports multidisciplinary mathematical PhD research, often in collaboration with external partners. We host a diverse cohort of researchers in an inclusive environment who explore mathematical modelling, inspired by real world phenomena, both in abstraction and incorporating data. This research spectrum includes rapidly developing areas of mathematical sciences including, machine learning, uncertainty quantification, optimisation, high-dimensional statistics and numerical stochastic modelling.

Postgraduate researchers undertake a four-year integrated programme of research in a world-class environment with opportunities to work flexibly across disciplines. They are trained to become fearless in formulating large-scale challenges in the language of statistical applied mathematics and become leading problem solvers.

Students can either pursue an industry co-designed PhD project, or a project formulated with an academic supervisor during the training phase.

Professional Development

Professional development is a crucial element of doctoral study, not only in supporting your research but also as part of your longer term career development. Our DoctoralSkills workshops and courses will help you build your skills and help you succeed in your doctorate.

Read more about professional development support


Assessment methods

  • Coursework
  • Groupwork
  • Oral assessment
  • Thesis
  • Viva Voce
  • Written examination

Assessment description

The taught elements of the initial training phase include units that are assessed using coursework and examinations (both oral and written). Students are required to reach a pass mark of 60% to progress onto their research phase.

During the research phase, students carry out supervised research in their chosen subject which must then be written up as a substantial thesis. The confirmation of the PhD programme is subject to students passing an assessment process, which normally involves submission of written work and an oral examination. This usually takes place 12 months after the start of the research phase.

The final stage of the PhD is submission of the thesis and the oral or viva voce examination, in which students are required to defend the thesis to a Board of Examiners.

Entry requirements

Academic requirements

First or upper second-class honours degree, or equivalent in an appropriate subject.

English Language requirements

  • IELTS: 6.5 overall with no less than 6.0 in all components
  • The Pearson Test of English Academic (PTE Academic): 62 with no less than 59 in any element
  • TOEFL IBT: 90 overall with a minimum 21 in all 4 components

You will need to get your English language qualification within 24 months prior to starting your course.

If you need to improve your English language skills before starting your studies, you may be able to take a pre-sessional course to reach the required level.


Two references are required. At least one of these should be an academic reference from the most recent place of study.

Fees and funding

Fees and funding information for Integrated PhD in Statistical Applied Mathematics PhD


Your tuition fees and how you pay them will depend on whether you are a Home or Overseas student.

Learn how we decide fee status

Tuition fees are liable to increase annually for all University of Bath students. If you aren't paying your fees in British pounds, you should also budget for possible fluctuations in your own currency.

Find out more about student fees

How to pay

Funding options

Fully-funded places are available in SAMBa. This includes tuition fees, a training support fund and a maintenance stipend. Self-funded places are also available.

Find funding for doctoral research

Payment options

You can pay your tuition fees by Direct Debit, debit card, credit card or bank transfer.

Application information

Applicant profile

See our guide about how to apply for doctoral study.

Selection process

Applications are reviewed by the SAMBa Management Team. Shortlisted applicants will be invited to interview.

Immigration requirements

For additional support please contact the Student Immigration Service for matters related to student visas and immigration.

Programme enquiries

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