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.