Ph.D. On Campus

Applied Mathematics

University of Birmingham

36 months
19380 GBP/year
4596 GBP/year
Tuition fee
Apply date
Start date


The Applied Mathematics programme from University of Birmingham contributes to research on a wide range of topics in Continuum Mechanics, Mathematical Biology, Nonlinear Systems, Numerical Analysis and Scientific Computing.


The Applied Mathematics programme from University of Birmingham is recognised for world leading and internationally excellent research and has active collaborations with researchers from industry, healthcare, and other areas of science and engineering. The group provides opportunities for postgraduate research across many areas of Applied Mathematics. Many PhD projects arise from engineering applications and involve collaborations with academic and industrial partners.

Continuum Mechanics is a traditionally strong research field within the School. Active research is pursued in the areas of bubble dynamics, biological and physiological fluid mechanics, dynamic wetting, flow in porous media, dynamics of liquid jets and drops, flows with phase transitions, fuel cells and many more. This research involves mathematical modelling, mathematical analysis of models and the underlying physical phenomena, as well as development of novel computational tools.

Research activities in Mathematical Biology range from applications in healthcare (antimicrobial resistance, cancer, epilepsy, microsurgical robots and infertility for example) and climate change (response of plants to increasing carbon dioxide levels), through fundamental biology (left-right symmetry-breaking in early embryo development; the role of anisotropy in tissue growth) and ecology (complexity of ecosystems and food webs), to novel mathematical and computational methods (meshfree computations for viscous flow, spitting schemes for stochastic differential equations). This research has close links to a range of stakeholders, in particular, the Centre for Systems Modelling and Quantitative Biomedicine, Institute for Microbiology and Infection, Healthcare Technology Institute, and Birmingham Institute for Forestry Research.

Research in the broad area of Nonlinear Systems combines the development of fundamental mathematical theory and methodology for solving reaction-diffusion systems, inverse problems and dynamical systems with contribution to a wide range of engineering and industrial applications. The application areas include nonlinear waves in river flows, oil pipeline flows, free surface flows and jets, chemical reactions and hydrogen fuel cell models.

Why study Applied Mathematics PhD at Birmingham?

  • The School of Mathematics has a strong research culture, with researchers of international stature in each of its main specialisms.
  • The University of Birmingham is one of the prestigious Russell group research-intensive Universities in the UK. The School of Mathematics attracts gifted graduate students from across the world.
  • The School collaborates widely with multiple disciplines, including Biological and Medical Sciences, Chemical Engineering and within industry.  In particular, Birmingham is an emerging centre for multidisciplinary Biological Systems Science research, and is in a unique position, being adjacent to one of the largest super-hospitals in Europe, catering for a highly diverse population. 
  • Learn from world leaders in their fields.

Programme Structure

  • We are internationally renowned for our world-leading research, which involves international and multidisciplinary collaboration. 
  • We have strong research groups in algebra, analysis, combinatorics, continuum mechanics, initiatives and infrastructures, mathematical biology, nonlinear systems, numerical analysis, statistics, and theoretical and computational optimization.
  • The Applied Mathematics Group is recognised for world leading and internationally excellent research and has collaborations with researchers from industry, healthcare, and other areas of science and engineering.

Key information


  • Full-time
    • 36 months
  • Part-time
    • 72 months
    • Flexible

Start dates & application deadlines

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More details

Contact the university for start date.


On Campus

Academic requirements

GPA admission requirements GPA
Upper Second Class

Other requirements

General requirements

  • A 2:1 Honours degree in a Mathematics-related subject, or a lower degree plus an MSc or substantial relevant experience. Learn more about entry requirements.
  • International students applying for this programme will need an Academic Technology Approval Scheme (ATAS) certificate from the Foreign & Commonwealth Office before the University can issue you with a Certificate of Acceptance of Studies (CAS). We recommend that you apply for your ATAS certificate as soon as you receive an offer from us.

Tuition Fee

To alway see correct tuition fees
  • International

    19380 GBP/year
    Tuition Fee
    Based on the tuition of 19380 GBP per year during 36 months.
  • National

    4596 GBP/year
    Tuition Fee
    Based on the tuition of 4596 GBP per year during 36 months.

£2,298 UK students, part-time

Living costs for Birmingham

765 - 1134 GBP /month
Living costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.


Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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Applied Mathematics
University of Birmingham


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