ECMI Model Master

in Mathematics for Industry

Here a model curriculum in Mathematics for Industry, as is recommended by ECMI, is presented.

Local master programmes offered by the ECMI Educational Centres may slightly differ from this model, depending on local or national regulations.

Recommended background to enter the ECMI Educational Programme

  • 180 ECTS of undergraduate study at university level (bachelor degree),
  • Prerequisite courses covering the topics in course block A,
  • Prerequisite courses covering topics of an amount of at least 12 ECTS in block B (with at least 2 out of 6 topics for Economathematics)
  • Since the education is given in English, good communication skills in English are required both orally and in writing.

Recommended courses

  • Courses covering the topics in block B not taken in the preparatory phase,
    • For Technomathematics: At least 60 ECTS of elective courses in course block C. Among these courses there are required mathematical courses (mathematics, mathematical statistics and numerical analysis) summing up to at least 42 ECTS as well as courses in a minor field of study related to mathematics of at least 12 ECTS,
    • For Economathematics: At least 48 ECTS of elective courses in course block C. Among these courses there  should be mathematical courses (mathematics, mathematical statistics and numerical analysis) summing up to at least 36 ECTS and courses in a minor field of study related to mathematics of at least 6 ECTS,
  •  Mathematical courses in
    For Technomathematics For Economathematics
      Scientific Computing   Computational Methods
      Optimization   Discrete Mathematics
      Mathematical Statistics
  •  Further courses up to 120 ECTS  in total (e.g. from block C or from economy, management, law).

Study Blocks

TECHNOMATHEMATICS

ECONOMATHEMATICS
Block A:  Recommended prerequisites to enter the Master programme Block A:  Recommended prerequisites to enter the Master programme
 Basic knowledge in calculus

18 ECTS

  Basic knowledge in calculus

18 ECTS
 Linear Algebra

 6 ECTS

  Linear Algebra

6 ECTS
 Some basics in numerical analysis

6 ECTS

  Some basics in numerical analysis

6 ECTS
 Programming skills

6 ECTS

  Programming skills

6 ECTS
 Basic knowledge in physics or mechanics

6 ECTS

  Basics in statistics

6 ECTS
 Basics in statistics

6 ECTS
Total amount of courses

48 ECTS

 Total amount of courses

42 ECTS
Block B:  the student is recommended to get at least ½ of the listed topics before entering the Master. The remaining topics should be taken during the Master study. Block B:  :  the student is recommended to get  at least 2 out of 6 of the listed topics before entering the Master. The remaining topics should be taken during the Master study.
 Transforms, linear systems, basics in ODE

6 ECTS

  Transforms, linear systems, basics in ODE                6 ECTS
 Basics in PDE

6 ECTS

  Basics and numerics in PDE                6 ECTS
 Numerics for differential equations

6 ECTS

  Stochastic processes                6 ECTS
 Minor field of study related to mathematics

6 ECTS

  Optimization                6 ECTS
 Finance and Economics                6 ECTS
Quantitative Finance and Economics                6 ECTS
Total amount of courses

24 ECTS

 Total amount of courses

 36 ECTS
Block C:  Elective courses in the field of industrial mathematics.Every student can choose among offered specialization courses at her/his home university or at an ECMI partner university. Recommendations: Block C:  Elective courses in the field of industrial econo-mathematics. Every student can choose among offered specialization courses at her/his  home university or at an ECMI partner university. Recommendations:
Total amount of courses in block C, among these courses: at least 60 ECTS Total amount of courses in block C, among these courses: at least 48 ECTS
Mathematical courses at least 42 ECTS Mathematical courses at least 36 ECTS
Courses in a minor field of study related to mathematics at least 12 ECTS Quantitative Finances and Economics at least   6 ECTS
Modelling activities
Regular modeling seminar at least 6 ECTS
Other Modelling activities (e.g. summer schools, industrial projects, study groups, internships etc.) 0-9 ECTS
ECMI International Modelling week 3 ECTS
Master thesis:  The thesis should be related to a real industrial problem(*).It could preferably be carried out in an interdisciplinary environment involving  participants from industry, and must have a nontrivial mathematical content.

30 ECTS

(*) A problem or application of mathematics is considered “Industrial” if (i) it has any societal, economical or technological impact; (ii) it is based on real or realistic data.

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