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Mathematical Modelling, Analysis and Computation, Ph.D.

  • Application Deadline
  • 48 months
University rank #20 (QS) ,
On this integrated degree in Mathematical Modelling, Analysis and Computation from The University of Edinburgh you will join the broader Maxwell Institute Graduate School in its Bayes Centre home.


On this integrated degree you will join the broader Maxwell Institute Graduate School in its Bayes Centre home.

You will benefit from:

  • dedicated academic training in subjects that include mathematical analysis, computational mathematics, multi-scale modelling, model reduction, Bayesian inference, uncertainty quantification, inverse problems and data assimilation, and machine learning
  • extensive experience of collaborative and interdisciplinary work through projects, modelling camps, industrial sandpits and internships
  • outstanding early-career training, with a strong focus on entrepreneurship
  • a dynamic and forward-looking community of mathematicians and scientists, sharing strong values of collaboration, respect, and social and scientific responsibility

You will integrate into a vibrant research environment, closely interacting with many academics comprised of mathematicians from the University of Edinburgh and Heriot-Watt University, as well as computer scientists, biologists, engineers, physicists and chemists providing their own disciplinary expertise, and these are also complemented by many industrial and government partners.

Career opportunities

Companies in a vast range of areas, as well as government agencies, are very keen to develop modelling-based approaches and to incorporate data science into their existing models.

Universities are also extremely keen to hire staff who can teach and conduct high quality research programmes in mathematical modelling, analysis and computation.

Work placements/internships

Work placements are negotiable and encouraged.

Visits/internships are possible at a range of some 30 companies and government agencies, with interdisciplinary partners across the sciences and engineering, and with our network of a dozen international academic partners in the US and Europe.

Detailed Programme Facts

  • Programme intensity Full-time
    • Full-time duration 48 months
  • Languages
    • English
  • Delivery mode
    On Campus

Programme Structure

Year 1

You will take specific core courses (30 credits), group project modules, and additional instruction either from Scottish Mathematical Sciences Training Centre (video+ on-site tutorials) or else from selected approved (level 11+) modules from the two Universities. The remainder of your studies is supervised research work.

Years 2-4

You will receive additional coursework and training (30 credits per year) with the remaining work being supervised research.

Week-long Industrial Sandpit

During each year, you will take part in a week-long Industrial Sandpit in conjunction with MAC-MIGS industrial partners to give an insight into how mathematics is used.

English Language Requirements

  • Minimum required score:


    The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.

    Schedule IELTS
  • Minimum required score:


    The TOEFL iBT ® measures your English-language abilities in an academic setting. The test has four sections (reading, listening, speaking, and writing), each with a score range of 0-30, for a total score range of 0-120. Read more about TOEFL iBT ®.

    Schedule TOEFL®

Academic Requirements

You need the following GPA score:

Required score: Upper Second Class

Applicants for graduate programs must have the equivalent of a bachelor’s degree with a minimum GPA equivalent to Upper Second Class on the UK Honour scale. Admitted applicants typically have an undergraduate GPA of or better on the UK Honour scale. No exam grade should be lower than 4.5 (European grade scale) or D (American grade scale).

Your GPA (Grade Point Average) is calculated using the grades that you received in each course, and is determined by the points assigned to each grade (e.g. for the US grading scale from A-F).

General Requirements

A UK first class honours degree, or its international equivalent, in an appropriate subject; or a UK 2:1 honours degree plus a UK masters degree, or their international equivalents; or relevant qualifications and experience.

Tuition Fee

Living costs for Edinburgh

  • 725 - 1170 GBP/month
    Living Costs

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


This programme is associated to the MAC-MIGS Centre for Doctoral Training, which is funded by a grant from the Engineering and Physical Sciences Research Council (EPSRC). UK-based students enrolled in MAC-MIGS will receive their stipends from EPSRC.

There are also supplementary financial resources which can fund the participation of students from other countries. 

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.

The Global Study Awards: get funded with up to £10,000 to study abroad

Together with the ISIC Association and British Council IELTS, Studyportals offers you the chance to receive up to £10000 to expand your horizon and study abroad. We want to ultimately encourage you to study abroad in order to experience and explore new countries, cultures and languages.


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