Universidad Carlos III de Madrid - UC3M

The document below is the last version (february-2010) of the Model Master.
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Model Master in Industrial Mathematics

The aim of the master programme in Industrial Mathematics is to develop the student’s mathematical and computational skills to solve industrial problems and development tasks in innovative ways. Fundamental capabilities to be trained are:

• modelling and analytical skills,
• knowledge of numerical methods,
• skills in programming and simulation,
• experience with mathematical models in industry and economy,
• ability to handle huge amounts of data by integrating mathematical, numerical and statistical methods,
• team working, cooperation, communication with and presentations for mathematicians and engineers.

The master programme is international. The education is given in English.

The duration of the master programme is two years (120 ECTS). There are three course blocks (A, B and C) which are related to both the requirements for admission to the master study and compulsory courses of the master programme.

Requirements for admission  to the master programme

The following is required for admission:

• 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 ½ of the total ECTS in block B i.e. at least 12 ECTS,
• Since the education is given in English, good communication skills in English are required both orally and in writing.

 Requirements for the master degree

The following is required in the master study to receive the certificate:

• At least 120 ECTS in total, corresponding to two years study,
• At least one semester at one of the other universities of ECMI,
• Courses covering the remaining topics in block B,
• At least 60 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 42 ECTS and courses in a minor field of study related to mathematics of at least 12 ECTS,
• Modelling activities of at least 9 ECTS,
• A master thesis of 30 ECTS,
• Further Courses up to 120 ECTS in total (e.g. from block C or from economy, management, law).

Additional requirements for the ECMI Certificate

To receive the ECMI Certificate additionally to the above requirements for the master degree in industrial mathematics the following is required:

• At least one semester of the study or the final master thesis project at one of the other universities of ECMI,
• Practical training in mathematical modelling, organized in a regular modelling seminar, Workload: 6 – 15 ECTS,
• Participation in the International ECMI Modelling Week (3 ECTS),
• Mathematical courses in
  • Scientific Computing
  • Optimization
  • Mathematical Statistics

Each student's qualification is finally assessed by the ECMI Educational Committee and is based on two review reports of the thesis by ECMI reviewers.

The application of a student for the ECMI certificate is usually organized by the ECMI responsible at the student's home university. It includes the thesis in english language and a full transcript of studies and modelling activities relevant for the ECMI programme.

Econo-Mathematics

The aim of the master programme in Industrial Mathematics is to develop the student’s mathematical and computational skills to solve problems in industry and business and other research and development tasks. Fundamental capabilities to be trained are:

• modelling and analytical skills,
• knowledge of numerical methods,
• skills in programming and simulation,
• experience with mathematical models in industry and economy,ability to handle huge amounts of data by integrating mathematical, numerical and statistical methods.
  team working, cooperation, communication with and presentations for mathematicians and engineers.

The master programme is international. The education is given in English.

The duration of the master programme is two years (120 ECTS). There are three course blocks (A, B and C) which are related to both the requirements for admission to the master study and compulsory courses of the master programme.

Requirements for admission

The following is required for admission:

• 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 of the total ECTS in block B i.e. at least 2 out of 6 topics
• Since the education is given in English, good communication skills in English are required both orally and in writing.

Requirements for certificate and compulsory courses

The following is required in the master study to receive the certificate:

• At least 120 ECTS in total, corresponding to two years study
• At least one semester at one of the other universities of ECMI
• Courses covering the remaining topics in block B
• 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
• Modelling activities of at least 9 ECTS
• A master thesis of 30 ECTS
• Courses up to 120 ECTS (either from block C or e.g. engineering, management, law)