Applied Mathematics in Industry / Applied Mathematics in Industry

The Maersk Mc-Kinney Moller Institute, Odense
Teaching activity id: RP-AMI-U1.
Teaching language: English.ECTS / weighting: 5 ECTS / 0.083 full-time equivalent.
Period: Autumn 2017 to Autumn 2020.Approved: 25-04-17.
Offered in: Odense.

Subject director:
Responsible Christian T. Veje, The Maersk Mc-Kinney Moller Institute.


BSc degree in mathematics or applied mathematics, Complete MSc degree in physics, chemistry or engineering.

Content - Key areas:

The PhD course consists of three days of coursework in applied mathematics, followed by a week-long participation in the annual Study Group with Industry (ESGI).

ESGI is a workshop where academic mathematicians work on problems directly related to industry. Meetings of this nature have taken place in Great Britain for a number of years, going back to 1968 when Prof. Alan Tayler started the Oxford Study Group with Industry. The coordination of the study groups is now in the hands of the European Consortium for Mathematics in Industry (ECMI), and the name is currently European Study Group with Industry (ESGI).

ESGI runs for five work days (Monday - Friday). On the first day, the participating companies present research problems considered to be of a mathematical nature. Each such problem is taken up by a group of mathematicians who, together with the company representative, work through Thursday afternoon to find a solution. Friday is used to present in a plenary session the results from each of the problem groups.

Subsequently, each group draws up a written report and submits it to the company.


Coursework runs Thursday-Saturday prior to ESGI. Lectures alternate with exercises. Three 1-day lecture series on topics in applied mathematics will teach participants useful techniques based on concrete examples from modelling of industrial problems. Lectures are given by international experts.

The lecture part of the PhD course may involve some prior reading and completion of a mini-project to be submitted after the lecture part. During ESGI, PhD course participants are required to play an active role in both problem solving, presentation of solution and contribution to the final report.

Main Topics:

The overall objective of the course is to develop student experience with concrete problem solving in industrial mathematics.
ESGI participation will give students first-hand experience in mathematical modelling, working with international experts in the field trying to find solutions to real-world problems. A wide range of problem types are presented to ESGI and a wide range of mathematical skills are assembled to solve them.

Specific topics will be decided, depending on the specific problems posed by industry at the ESGI workshop

Learning outcomes:
Learning outcomes

  • A student who has met the objectives of the course will be able to:
  • Interpret and simplify descriptions of industrial processes
  • Balance use of a variety of mathematical descriptions
  • Clarify relevant dimensional ranges of validity for technical descriptions
  • Interpret the influence of parameters in mathematical models
  • Work effectively in knowledge-sharing groups
  • Analyze and use available data
  • Apply advanced numerical tools as solution support
  • Present concise and relevant conclusions in a technical report

Time of classes:
Usually held in weeks 33 and 34 every second (uneven) year at SDU.
The course is identical and interlaced with the phd course Modern Methods in Industrial Mathematics running every even year at DTU. See more about this course at this website:

Course work from Thursday - Saturday  in week 33/ESGI from Monday – Friday in week 34.
Time: 8:00-16:00

Form of instruction:
3 days of lecture courses + active participation in the ESGI workshop following the lecture course


Individual examination assessed by the teacher as pass / fail based on participation in all course days, evaluation of exercises  and contribution to the final ESGI report

Registration though website: - no later then August 1.

Every uneven year at SDU, Campus will alternate between Odense and Sønderborg. In every even year at DTU.

See website.

Number of paticipants:
Max 20 students (depending of numbers of companies).

Ph.d. Programme at The Faculty of Engineering
All semestres, elective subject. Offered in: Odense