Industrial Mathematics, M.Sc.

  • Application Deadline
  • 24 months
  • English (book IELTS)
University rank #281 (QS) ,
Industrial mathematics is the application of mathematical methods to the solution of problems in industry. It draws on tools from applied mathematics, computer science, statistics, and engineering. It emphasizes hands-on modeling of practical situations and teamwork. This official master follows the normative of the ECMI (European Consortium for Mathematics in Industry).


The program has five major specializations:

•  Modeling and numerical simulations

•  Fluid dynamics

•  Nanoscience

•  Mechanics

•  Inverse problems and imaging

The program is suited well for students with degrees in the Mathematical, Physical and Engineering Sciences, who wish to pursue a career in Industry and are prepared to develop even stronger analytical and computational skills. Students working on industrial research and development capture the essentials of real situations through mathematical models and create or expand mathematical methods while finding solutions to complicated problems. They are often hired by engineering firms because they have the basic skills needed to solve state-of-the-art problems in industry. Often, they may be required to work in multidisciplinary teams to solve challenging problems.

An important component of the program is participation in workshops, seminars, and ECMI International Modeling Weeks and Summer Schools.

Double degrees

The program offers students the opportunity to study it at two universities and to obtain a double degree.

After completing the first academic year at Carlos III, a second academic year (60 ECTS credits) attended at the University of Milan (Italy) entitles the student to also achieve a Master Degree at this University. We are currently working on similar agreements with other European universities.

Programme Structure

Courses include

  • Mathematical modeling with partial differential equations
  • Dynamical systems and chaos 
  • Numerical methods for differential equations 
  • Fluid mechanics 
  • Solid mechanics 
  • Singular perturbations 
  • Optimization
  • Modeling in science and Industry I 
  • Statistical Methods 
  • Finite element methods 
  • Stochastic numerical methods 
  • Hydrodynamic stability 
  • Modeling in science and industry II 
  • Inverse problems and imaging 
  • Computational fluid dynamics 
  • Heat and mass transfer 
  • Combustion
  • Modeling in solid mechanics 
  • Quantum mechanics and solid state physics 
  • Modeling in electromagnetics 
  • Electronic transport in micro and nanostructures
  • Advanced numerical seminar 
  • Master's Thesis

Detailed Programme Facts

  • Programme intensity Full-time
    • Full-time duration 24 months
  • Credits
    120 ECTS
  • Languages
    • English
  • Delivery mode
    On Campus

English Language Requirements

You only need to take one of these language tests:

  • 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.

    Book IELTS
  • Minimum required score:


    The TOEFL – or Test Of English as a Foreign Language – offers an internet-based test (iBT). The final, overall iBT score ranges between 0 and 120, and includes a scaled average from the four components (reading, listening, speaking, and writing). Read more about TOEFL (iBT).

Academic Requirements

You will need to provide the following documents:

•  Official academic transcripts

•  Curriculum vitae

•  A brief statement of purpose

•  Any other relevant information

Tuition Fee

Living costs for Madrid

  • 745 - 1260 EUR/month
    Living Costs

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


Aids for relocation and new installation

Grants for students with good transcript of records and family residence outside Madrid and more than 100 km from the UC3M campus where enrol , with a unique endowment of € 1,800.

Application deadline: from June 17  to July  4.

Spanish Ministry of Education grants

Aid for cover the tuition fees for prospective students with an entrance grade equal to, or exceeding  5,5.
Aid for incomes and housing for prospective students with an entrance grade equal to, or exceeding 6,5. The amount will be of up to 3000 €.

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.