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Master [120] of science in Mathematical Engineering

AnnéesTravail de fin d'étudeStage


Retour en début de pageStudy objectives

The Applied Mathematics degree will provide students with the competencies and expertise required in mathematical engineering. They will learn to design, analyse and implement mathematical models to be applied to complex systems of the industrial or corporate world, and to create efficient strategies to optimize their performance. Throughout their training, students will acquire both the theoretical and methodological tools which will be implemented in all fields of engineering, as well as in other walks of life in society, such as economics, environmental sciences or life sciences. The Master’s degree in Applied mathematics engineering is characterized by its great flexibility in setting up students’ curriculum: half of the latter will be made up of elective courses. In particular, students are offered a wide spectrum of eleven coherent course modules (called « options »), some of these focussing on basic disciplines of applied mathematics (Optimization and operations research, Systems and control, Discrete mathematics and computer science), others relating to associated application fields (Financial mathematics, Information and signal processing, Biomedical engineering, Modelling and simulation of physical phenomena, Statistics), the remainder pertaining more specifically to the world of economics (Management, Economics and econometrics, Launching of small and medium-sized companies).


Retour en début de pageGeneral presentation of the programme

The Master’s curriculum in Applied mathematics engineering will consist of at least 120 credits covering two years, with a minimum of 60 credits per year, and comprising :
- a fixed set of 60 credits, consisting of a 30-credit core curriculum and a 30-credit specialization module; 
- a flexible set of 60 credits, made up of elective courses and possibly one or more « options » (15 to 30 credits apiece) chosen amongst the eleven available options  : Optimization and operations research, Systems and control, Discrete mathematics and computer science, Information and signal processing, Biomedical engineering, Modelling and simulation of physical phenomena, Management, Economics and econometrics, Launching of small and medium-sized companies, Financial mathematics, Statistics.

The final thesis is generally written during the last year. However, students may choose to take any given course in the first or second year, subject to possible prerequisites. This will be the case in particular for students pursuing part of their education abroad.
 
If, in the course of his (her) former curriculum, a student has already been credited with a subject included in the compulsory core curriculum, or any training deemed equivalent, this subject will be replaced by any recommended elective course of the Applied mathematics curriculum, within the imposed constraints. The student is responsible for checking whether the minimum total number of credits has been reached, as well as those of the specialized field, which will appear on the final diploma.
 
The student’s curriculum will be scrutinized for acceptance by the Mechanical engineering diploma committee.

Wathever the focus or the options chosen, the programme of this master shall totalise 120 credits, spread over two years of studies each of 60 credits

core curriculum

Professional Focus

Options et cours au choix du master ingénieur civil en mathématiques appliquées.


Retour en début de pagePositioning of the programme

Accessible complementary Master’s degrees
The Master’s in Applied mathematics engineering provides the prerequisites for many other Master’s degrees which can then be obtained after one year of studies :
1. 120 Master’s in actuarial science (UCL) A student with at least 35 credits within the  Financial mathematics option has direct access to the second year of the 120 Master’s in actuarial science at UCL.
2.  120 Master's in economics, general stream (specialized or advanced) (UCL) A student with at least 35 credits within the  Economics and econometrics option has direct access to the second year of the 120 Master’s in economics, general stream (specialized or advanced)  at UCL.
3. 120 Master’s instatistics, general stream (specialized or advanced) (UCL) A student with at least 35 credits within the Statistics option has direct access to the second year of the 120 Master’s in statistics, general stream (specialized or advanced)  at UCL.
Accessible Ph.D. studies
Registration for a Ph.D. in applied science is open to any bearer of a Master’s in engineering. The department of mathematical engineering is a partner in various thematic doctoral schools, in particular the « Systems, Optimization, Control and Networks » school of which it is the coordinator (for additional details, refer to http://www.inma.ucl.ac.be/graduate/).


Admission

University Bachelors
Diploma Special Requirements Access Remarks
UCL Bachelors
Bachelor in engineering [180.0]

Major or minor in applied mathematics 

 
Direct access  
Bachelor in engineering [180.0]   Access with additional training

A bachelor in engineering, with no major nr minor in applied maths, nor any option deemed equivalent, shall submit an application to the Applied mathematics diploma committee, including a detailed past curriculum (courses and grades by year). The committee will propose a customized curriculum, by drawing on the volume of elective courses of the Applied mathematics curriculum.  

 
Bachelor in physics [180.0]
Bachelor in mathematics [180.0]
Bachelor in computer science  [180.0]
Bachelor in chemistry [180.0]
Bachelor in biology [180.0]
Bachelor in geography [180.0]
Bachelor in bioengineering [180.0]

 

Minor in applied mathematics

 
Access with additional training

A student who is not a bachelor in engineering, shall submit an application to the Faculty of applied sciences, including a detailed past curriculum (courses and grades by year). The Faculty, after consulting the Applied mathematics programme committee, will decide as to the applicant’s admissibility (the latter pertaining  only to the core curriculum of the engineering bachelor curriculum), pursuant to rules relative to links between degrees. If necessarythe Faculty can propose a customized curriculum, by drawing on the volume of elective courses of the Applied mathematics curriculum.  

 
Belgian Bachelors of the French speaking Community
Bachelor in engineering [180.0]

Major or minor in applied mathematics 

 
Direct access  
Bachelor in engineering [180.0]   Access with additional training

A bachelor in engineering, with no major nor minor in applied maths, nor any option deemed equivalent, shall submit an application to the Applied mathematics diploma committee, including a detailed past curriculum (courses and grades by year). The committee will propose a customized curriculum, by drawing on the volume of elective courses of the Applied mathematics curriculum.  

 
Bachelor in physics,mathematics, computer science, chemistry, biology, geography, bioengineering [180.0]

Option in applied mathematics at former institution   

 
Access with additional training

A student who is not a bachelor in engineering, shall submit an application to the Faculty of applied sciences, including a detailed past curriculum (courses and grades by year). The Faculty, after consulting the Applied mathematics programme committee, will decide as to the applicant’s admissibility (the latter pertaining  only to the core curriculum of the engineering bachelor curriculum), pursuant to rules relative to links between degrees. If necessary the Faculty can propose a customized curriculum, by drawing on the volume of elective courses of the Applied mathematics curriculum and, if necessary, up to 15 additional credits.  

 
Belgian Bachelors of the Dutch speaking Community
Bachelor in ingenieurs wetenschappen

 

 

Option in applied mathematics at former institution   

 
Direct access  
Bachelor in ingenieurs wetenschappen   Access with additional training

A student with no former option in applied mathematics shall submit an application to the Applied mathematics diploma committee, including a detailed past curriculum (courses and grades by year). The committee will propose a customized curriculum, by drawing on the volume of elective courses of the Applied mathematics curriculum and, if necessary, up to 15 additional credits.  

 

Bachelor’s degree equivalent to one of those required from graduates of the French-speaking community

Option in applied mathematics at former institution   

 
Access with additional training

A student who is not a bachelor in engineering, shall submit an application to the Faculty of applied sciences, including a detailed past curriculum (courses and grades by year). The Faculty, after consulting the Applied mathematics programme committee, will decide as to the applicant’s admissibility (the latter pertaining  only to the core curriculum of the engineering bachelor curriculum), pursuant to rules relative to links between degrees. If necessary the Faculty can propose a customized curriculum, by drawing on the volume of elective courses of the Applied mathematics curriculum and, if necessary, up to 15 additional credits.  

 
Foreign Bachelors
Bachelor in engineering

Bachelors from the Cluster network 

 
Direct access

Conditions imposed on UCL engineering Bachelor. 

 
Bachelor in engineering Other institutions   Access with additional training

The student shall submit an application to the Faculty of applied sciences, including a detailed past curriculum (courses and grades by year). The Faculty, after consulting the relevant programme committee, will decide as to the applicant’s admissibility pursuant to rules relative to links between degrees. If necessary the Faculty can propose a customized curriculum, by drawing on the volume of elective courses of the relevant engineering Master’s curriculum and, if necessary, up to 15 additional credits.  

 

Non university Bachelors
Diploma Access Remarks
> Find out more about links to the university
 
> BA en sciences industrielles - type long Accès au master moyennant réussite d'une année préparatoire de max. 60 crédits Type long

Holders of a 2nd cycle University degree
Diploma Special Requirements Access Remarks
"Licenciés"
 

Engineers, bioengineers, and graduates in computer science, chemistry, physics, mathématics, biology or geography, considered equivalent to corresponding Bachelor’s.

  Direct access  
Masters
 
Master in engineering   Direct access  

Holders of a non-University 2nd cycle degree
Diploma Access Remarks
> Find out more about links to the university
 
> MA en sciences de l'ingénieur industriel (toutes finalités)
> MA en sciences industrielles (toutes finalités)
Accès direct au master moyennant ajout éventuel de 15 crédits max Type long

Adults taking up their university training
> See the website www.uclouvain.be/vae

Personalized access
Reminder : all Masters (apart from Advanced Masters) are also accessible on file.

Admission and Enrolment Procedures for general registration

See the general admission requirements

Specific procedures :

Unconditional admission to a Master’s degree in Applied mathematics engineering is afforded  to bachelors in engineering, with a major or minor in applied mathematics.
Admission to this Master’s via a customized curriculum is also  afforded to bachelors of science (in particular mathematics and physics), bachelors in bioengineering, as well as bachelors in engineering with no major nor minor in applied mathematics, under the following conditions.
A student with no major nor minor in applied mathematics, nor a curriculum deemed equivalent,  shall submit a résumé to the Applied mathematics diploma committee, who will propose a customized  Master’s curriculum (drawing on the volume of elective courses, without any additional credits). The procedure mentioned in note 1 of the conditions of admission applies.
A student who is not a bachelor in engineering, shall  submit a résumé  to the Faculty of Applied sciences. If this application is accepted, the Faculty will propose a customized  Master’s curriculum (15 additional credits and possibility part of the volume of elective courses, or else an additional year of studies). The procedure mentioned in note 2 of the conditions of admission applies.
In some cases, a student might have to follow both above-mentioned procedures (when not a bachelor in engineering and with no minor in applied mathematics).  The procedures mentioned in notes 1 and 2 of the conditions of admission then apply.



Contact

Retour en début de pageUseful contacts

Président de la Commission de diplôme

Secrétariat



Teaching method

Retour en début de pageStrong points of the pedagogical approach

. Features favouring interdisciplinarity :

The curriculum of the Master’s in Applied mathematics engineering is intrinsically interdisciplinary. It aims to provide students with a training in mathematical modelling which is then implemented in the various disciplines of engineering, as well as in other walks of life in society, such as economics, environmental sciences or life sciences. In particular, the wide range of electives, some depending on other departments (Information and data processing, modelling and simulation of physical processes) or even other faculties (Financial mathematics, Biomedical engineering, Economics and econometrics, Statistics), will naturally contribute to strengthening this interdisciplinarity.
The final thesis, when carried out outside the department of engineering mathematics (which is often the case), is yet another source of interdisciplinarity.

. Variety of teaching situations

The pedagogy implemented in the engineering Master’s curriculum is aligned with that of the engineering Bachelor’s curriculum: active learning, a balanced mix of group and individual work, and substantial time devoted to the development of non-techical competencies.
The final thesis amounts to half of the workload of the final year ; it offers the possibility to thoroughly investigate a given subject and, through its mere volume and context, can be considered as a genuine introduction to the professional life of an engineer or a researcher. This activity can be carried out :
- either on a subject directly related to one or many basic disciplines of applied mathematics and its applications, within a research team of the department of mathematical engineering (possibly in cooperation with an external industrial partner),
- or else on a subject involving applied mathematics in some other department of the Faculty of applied sciences, or the Faculties of science, economics, management or actuarial science.

. Variety of learning situations :

The student will encounter a variety of pedagogical tools tailored to the various disciplines : formal lectures, individual projects in small groups, tutorials, project-based learning, case studies, imposed readings, experimental laboratory work, computer simulations, teachware, industrial or research training, individual and group work, seminars given by outside scientists, etc.
This variety of situations will help students to build their knowledge in an iterative and progressive manner, while developing their autonomy, organizational skills, time management, and capacity to use various modes of communication, …The most advanced computer equipment (hardware, software, networks) is made available to assist students in their work.
 
The company launching specialization is based on an interactive approach and problem-based learning. Throughout the curriculum, students are required to perform group activities in multi-disciplinary groups. The final thesis is also multi-disciplinary and designed in such a way that groups of three students, ideally from three different faculties, should work on a company launching project.

Retour en début de pageEvaluation

All learning activities are assessed as prescribed by the University internal regulations (see exam regulations), viz. written and oral exams, laboratory exams, individual or group work, public presentation of projects and final thesis.



Internationalisation

Global framework  

The Faculty of Applied Sciences has taken part, since their inception, in all the various mobility programmes which have been set up at both the European and world levels.  
The numerous contacts it has with professional circles, notably via its Advisory Board, have demonstrated  to what extent employers are favourably impressed by a mobility experience in someone’s CV. The ever-increasing internationalization of research via networks linking laboratories throughout the world, speaks in favour of encouraging this mobility.  
Students’ interest is aroused at the end of their Bachelor studies, notably via intensive courses such as those of the ATHENS (  ) or BEST (  ) networks.  
In the course of the two-year Master’s programme, students are encouraged to take part in a 1- or 2-semester exchange scheme.
Within Belgium, the Faculty of Applied Sciences is involved in a privileged partnership with the Faculteit Ingenieurswetenschappen of the Katholieke Universiteit Leuven, with whom it has set up an exchange scheme relating to the first year of the Master’s curriculum (   ).  
At the European level, the Faculty of Applied Sciences is strongly involved in the CLUSTER excellence network (  ). This network encourages internal mobility, since this is a guarantee of quality as concerns both the level of teaching and the hosting of exchange students. Moreover, Cluster partners have signed an agreement recognizing each other’s Bachelor’s curricula. This agreement stipulates that all Bachelors of network institutions will have access to the Master’s studies in any institution on a par with local students.  
Outside Europe, the Faculty of Applied Sciences is a partner in the Magalha#s network, which groups about fifteen European universities together with the best South American science and technology universities (   ).  
Besides these network partnerships, the Faculty has also signed a number of individual agreements with various universities in Europe, North America or elsewhere in the world. A list of these agreements may be found on the website of UCL International Relations (  ).  


International possibilities (for UCL students)
 

 

UCL is also a partner in the TIME programme (  ) which gives students the opportunity to obtain two engineeering degrees, via a specifically tailored curriculum.
Double engineering degree : students may replace the second year of their Master’s by two years of study in a different institution within the TIME programme and conventions with the Ecole nationale supérieure du pétrole et des moteurs (ENSPM). Upon completion of their curriculum, students are automatically awarded the UCL degree following that of the host institution. Under certain conditions, students may take part in the selection process for a Master of Business Administration (MBA) at Chicago and Cornell universities (for further information, refer to website http://www.uclouvain.be/10490.html)
Besides intensive courses which are one component of international relations, FAS students with outstanding results are encouraged to apply for 5- or 10-month exchange programmes. When taking place during the first Master’s year, exchanges are generally 10 months long. In the second year, they only last for a semester, either as courses or else research in a foreign laboratory as a complement to the final thesis.  
Some other more specific exchange programmes have been set up with South America, where the academic year is naturally on an “austral” basis.  
Students are informed about the various exchange programmes as from their second Bachelor’s year. They are encouraged to prepare for their exchange in a timely manner, notably by taking language courses at the Modern Languages Institute of UCL.



Core courses
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Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

The student shall select
Mandatory LINMA2990

Travail de fin d'études  (in French) François Glineur   28credits      x

MandatoryReligion courses for student in exact sciences
The student shall select2 credits among
Optional LTECO2100

Questions of religious sciences: biblical readings  Bernard Van Meenen 15h  2credits  1q  x x
Optional LTECO2200

Questions of religious sciences: reflections about christian faith  Dominique Martens 15h  2credits  2q  x x
Optional LTECO2300

Questions of religious sciences: questions about ethics  Philippe Cochinaux 15h  2credits  1q  x x
 


Focuses

Finalité spécialisée: [30.0]
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

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Year
1 2

Si l'étudiant a déjà suivi le cours INMA1510 au cours de son parcours académique antérieur, il doit le remplacer par un cours au choix du master ingénieur civil en mathématiques appliquées.
Mandatory LINMA1510

Linear Control  (in French) Georges Bastin 30h + 30h  5credits  2q  x  
Mandatory LINMA2171

Numerical Analysis : Approximation, Interpolation, Integration  (in French) Alphonse Magnus 30h + 22.5h  5credits  1q  x  
Mandatory LINMA2370

Modelling and analysis of dynamical systems   Georges Bastin 30h + 22.5h  5credits  1q  x  
Mandatory LINMA2380

Matrix theory  (in French) Paul Van Dooren 30h + 22.5h  5credits  2q  x  
Mandatory LINMA2470

Discrete stochastic models   (in French) Philippe Chevalier 30h + 22.5h  5credits  1q  x  
Mandatory LINMA2471

Optimization models and methods  (in French) François Glineur 30h + 22.5h  5credits  1q  x  
 



Options and optional course

Optimization and operations rechearch

This option aims to introduce the student to specific advanced methods and concepts in optimization (use of integer variables and nonlinear functions, randomness) and make the student familiar with some of their fields of application, in particular operations research (quantitative methodology to assist in decision making).

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Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

L'étudiant qui choisit cette option sélectionnefrom 15 to 30 credits among
Optional LINMA2360

Project in mathematical engineering  (in French) Pierre-Antoine Absil, François Glineur (coord.), Yurii Nesterov, Paul Van Dooren 30h + 22.5h  5credits  2q  x x
Optional LINMA2415

Quantitative Energy Economics  (in French) Yves Smeers 30h + 22.5h  5credits  2q  x x
Optional LINMA2450

Combinatorial optimization   Jean-Charles Delvenne 30h + 22.5h  5credits  1q  x x
Optional LINMA2460

Optimization : Nonlinear programming  Yurii Nesterov 30h + 22.5h  5credits  2q  x x
Optional LINMA2491

Operations research   (in French) Raphaël Jungers 30h + 22.5h  5credits  2q  x x
Optional LINMA2494

Optimization and operations research seminar  Philippe Chevalier, François Glineur (coord.), Yurii Nesterov, Mathieu Van Vyve 20h  2credits  2q  x x
 


Systems and control

This option aims to make the student familiar with some advanced topics in systems and control, amongst which system identification, control law synthesis, and the implementation of digital control and modelling and analysis of nonlinear dynamical phenomena.   

Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

L'étudiant qui choisit cette option sélectionnefrom 15 to 30 credits among

OptionalCours conseillés en automatique et systèmes dynamiques
L'étudiant sélectionne au minimum 10 crédits parmi
Optional LINMA2120

System theory seminar.  Pierre-Antoine Absil, Pierre-Antoine Absil (coord.), Pierre-Antoine Absil (supplée Vincent Wertz), Pierre-Antoine Absil (supplée Vincent Blondel), Georges Bastin, Vincent Blondel, Denis Dochain, Philippe Lefèvre, Paul Van Dooren, Vincent Wertz 20h  2credits    x x
Optional LINMA2345

Differential equations  (in French) Abdou Kouider Ben-Naoum, Jean Van Schaftingen (coord.) 30h + 22.5h  5credits  2q  x x
Optional LINMA2360

Project in mathematical engineering  (in French) Pierre-Antoine Absil, François Glineur (coord.), Yurii Nesterov, Paul Van Dooren 30h + 22.5h  5credits  2q  x x
Optional LINMA2361

Nonlinear systems   (in French) Pierre-Antoine Absil (coord.), Rodolphe Sepulchre 30h + 22.5h  5credits  1q  x x
Optional LINMA2671

Automatic : Theory and implementation   (in French) Julien Hendrickx 30h + 30h  5credits  1q  x x
Optional LINMA2875

System Identification  Julien Hendrickx 30h + 30h  5credits  2q  x x

OptionalCours d'intérêt en automatique et systèmes dynamiques
Optional LELEC2870

Machine Learning : regression, dimensionality reduction and data visualization  Michel Verleysen 30h + 30h  5credits  1q  x x
Optional LGBIO2060

Modeliing of biological systems  Georges Bastin, Philippe Lefèvre 30h + 30h  5credits  1q  x x
Optional LINGI2262

Machine Learning :classification and evaluation  Pierre Dupont 30h + 30h  5credits  1q  x x
Optional LMAPR2510

Mathematical ecology  Eric Deleersnijder, Denis Dochain, Denis Dochain (supplée Eric Deleersnijder) 30h + 22.5h  5credits  2q  x x
Optional LMECA2732

Introduction to robotics.  Jean-Claude Samin 30h + 15h  4credits  2q  x x
 


Discrete mathematics and computer science

This option aims to make the student familiar with some advanced topics in discrete mathematics such as algorithm analysis (complexity), numerical analysis, combinatorial problems, and the computer tools which are specific to applied mathematics.

Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

L'étudiant qui choisit cette option sélectionnefrom 15 to 30 credits among
Optional LINGI1123

computability and complexity  (in French) Yves Deville 30h + 30h  4credits  2q  x x
Optional LINMA2111

Discrete mathematics II : Algorithms and complexity   Vincent Blondel 30h + 22.5h  5credits  2qCourses not taught this academic year  x x
Optional LINMA2450

Combinatorial optimization   Jean-Charles Delvenne 30h + 22.5h  5credits  1q  x x
Optional LINMA2472

Advanced topics in discrete mathematics  (in French) N. 30h + 22.5h  5credits  1qCourses not taught this academic year  x x
Optional LINMA2710

Numerical algorithms  Paul Van Dooren 30h + 22.5h  5credits  2q  x x
Optional LMAT2450

Cryptography  Olivier Pereira 30h  5credits  1q  x x
Optional LMAT2460

Finite mathematics and combinatorial structures  (in French) Mélanie Raczek 30h  5credits  1q  x x
Optional LSINF1121

Algorithmics and data structures  (in French) Pierre Dupont 30h + 30h  5credits  1q  x x
 


Modeling and simulation of physical systems
This option aims to make the student familiar with the modelling of physical systems, in particular in the field of continuum mechanics (fluids, flows, transfer phenomena, flexible solids) and electromagnetism, as well as the related computer methods and tools for numerical simulation.
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

L'étudiant qui choisit cette option sélectionnefrom 15 to 30 credits among
Optional LELEC1350

APPLIED ELECTROMAGNETISM  (in French) Christophe Craeye, Danielle Janvier 30h + 30h  5credits  1q  x x
Optional LMAPR2510

Mathematical ecology  Eric Deleersnijder, Denis Dochain, Denis Dochain (supplée Eric Deleersnijder) 30h + 22.5h  5credits  2q  x x
Optional LMAT2410

Partial differential equation : heat equation, brownian moves and numerical aspects  (in French) Alphonse Magnus 30h + 15h  5credits  2q  x x
Optional LMECA1100

Deformable solid mechanics.  (in French) Issam Doghri 30h + 30h  5credits  2q  x x
Optional LMECA1321

Fluid mechanics and transfer phenomena.  (in French) Vincent Legat, Grégoire Winckelmans 30h + 30h  5credits  2q  x x
Optional LMECA2120

Introduction to finite element methods.  (in French) Vincent Legat 30h + 30h  5credits  1q  x x
Optional LMECA2131

Introduction to nonlinear solid mechanics.  (in French) Issam Doghri 30h + 30h  5credits  2q  x x
Optional LMECA2141

Rheology.  (in French) Christian Bailly, Vincent Legat 30h + 30h  5credits  2q  x x
Optional LMECA2660

Numerical methods in fluid mechanics.  (in French) Grégoire Winckelmans 30h + 30h  5credits  2q  x x
Optional LPHY1352A

Physique des fluides II  (in French) N. 22.5h + 7.5h  4credits    x x
Mandatory LINMA2720

Mathematical modelling of physical systems  (in French) Roland Keunings 30h + 22.5h  5credits  2q  x x
 


Economics and econometrics
This option aims to train graduates who can grasp and analyse practical contemporary economic and social issues, whether they be of a « microeconomic » (corporate strategy, competition issues, etc.) or « macroeconomic » (growth, imbalance, exchange rates and monetary policy, etc.) nature. The relevant courses allow one to grasp and use the basic concepts and tools of economic analysis, along with the associated quantitative methods, in particular econometrics. They provide the necessary foundation for a possible future specialization in economics. Moreover, a student who chooses INMA2415, ECON2011 ECON2021, at least one of ECON2031/ECON2033 and at least 15 credits from the complementary package in economics and econometrics (see "elective courses") within the choice of elective courses will have direct access to the second year of the 120 Master’s in economics, general stream (specialized or advanced)
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

L'étudiant qui choisit cette option sélectionnefrom 15 to 25 credits among
Optional LECON2011

Interdependencies and Strategic Behavior  Julio Davila Muro 30h + 12h  5credits  1q  x x
Optional LECON2021

Economic Fluctuations and Foundations of Macro Policy  David De la Croix 30h + 12h  5credits  1q  x x
Optional LECON2031

Econometrics of Time Series  Luc Bauwens 30h + 12h  5credits  1q  x x
Optional LECON2033

Applied econometrics: Microeconometrics  Muriel Dejemeppe 30h + 12h  5credits  1q  x x
Optional LINMA2415

Quantitative Energy Economics  (in French) Yves Smeers 30h + 22.5h  5credits  2q  x x
 


Financial mathematics
This option aims to introduce the student to the basics of quantitative finance and actuarial science by introducing the modern deterministic and stochastic mathematical methods of market finance. The main topics relate to real-time assessment of financial assets and insurance products. Particular attention is devoted to numerical simulation methods.
Moreover, a student who chooses INMA2725, ACTU2020, ACTU2030, ACTU2070 and at least 15 credits from the complementary package in financial mathematics (see "elective courses") within the choice of elective courses will have direct access to the second year of the 120 Master’s in actuarial science.
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

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Year
1 2

L'étudiant qui choisit cette option sélectionnefrom 15 to 30 credits among
Optional LINMA2725

Financial mathematics   (in French) Pierre Devolder 30h + 22.5h  5credits  1q  x x
Optional LACTU2020

MATHEMATICS OF FINANCIAL MARKETS  Pierre Devolder 30h + 15h  5credits  1q  x x
Optional LACTU2030

LIFE INSURANCE 1  Michel Denuit, Françoise Gilles 30h + 15h  5credits  1q  x x
Optional LACTU2070

STOCHASTIC FINANCE 1  Pierre Devolder 30h  5credits  2q  x x
 


Statistics
This option allows the student to acquire the basic concepts of mathematical probabilities and statistics along with a training in the main tools implemented in applied statistics.
Moreover, a student who chooses 25 cradits within this option will have direct access to the second year of the 120 Master‘s in statistiques (specialized or advanced).
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

L'étudiant qui choisit cette option sélectionnefrom 15 to 30 credits among
Optional LMAT1371

Probability  (in French) Johan Segers 30h + 22.5h  5credits  2q  x x
Optional LSTAT2020

Statistical computing  Céline Bugli (supplée Bernadette Govaerts), Bernadette Govaerts 20h + 20h  5credits  1q  x x
Optional LSTAT2030

Statistical analysis  Anouar El Ghouch, Rainer von Sachs 30h + 22.5h  4credits  2q  x x
Optional LSTAT2100

Discrete data analysis.  Patrick Bogaert, Anouar El Ghouch 22.5h + 7.5h  4credits  2q  x x
Optional LSTAT2110

Data Analysis  Christian Hafner, Johan Segers 22.5h + 7.5h  4credits  1q  x x
Optional LSTAT2120

Linear models  Christian Hafner 22.5h + 7.5h  4credits  2q  x x
Optional LSTAT2130

Introduction to Bayesian statistics.  Philippe Lambert 15h + 5h  3credits  2q  x x
Optional LSTAT2170

Times series  Rainer von Sachs 22.5h + 7.5h  4credits  1q  x x
Optional LSTAT2320

Design of experiment.  Patrick Bogaert, Bernadette Govaerts 22.5h + 7.5h  4credits  2q  x x
Optional LSTAT2350

Data Mining  Libei Chen 15h + 15h  4credits  2q  x x
 


Option in biomedical engineering
This option is common to most engineering Master’s curricula. It aims to train engineers who can meet future technological challenges in the scientific and technical fields related to biomedical engineering. It will provide students with basic knowledge in various fields of biomedical engineering such as bioinstrumentation, biomaterials, medical imaging, mathematical modelling, artificial organs and rehabilitation, biomechanics. Thanks to a collaboration between the Faculties of applied sciences and medicine, the training aims to give the students an interdisciplinary approach where engineering is applied to the complex and varied biomedical world.
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

L'étudiant qui choisit cette option sélectionnefrom 15 to 30 credits among

MandatoryCompulsory courses in biomedical engineering
Students who have chosen this option shall select at least 15 credits from amongst the following compulsory courses, except engineering Master's students in computer science who shall take 30 credits including GBIO 2010.
Optional LGBIO2010

Bioinformatics  Yves Deville, Michel Ghislain 30h + 30h  5credits  2q  x x
Optional LGBIO2020

Bioinstrumentation  Jean Delbeke, Michel Verleysen 30h + 30h  5credits  1q  x x
Optional LGBIO2030

Biomaterials  Sophie Demoustier, Christine Dupont, Gaëtane Leloup (coord.) 30h + 30h  5credits  2q  x x
Optional LGBIO2040

Biomechanics  Emilie Marchandise 30h + 30h  5credits  2q  x x
Optional LGBIO2050

Medical Imaging  Anne Bol, John Lee (supplée Benoît Macq), Benoît Macq, Frank Peeters 30h + 30h  5credits  1q  x x
Optional LGBIO2060

Modeliing of biological systems  Georges Bastin, Philippe Lefèvre 30h + 30h  5credits  1q  x x
Optional LGBIO2070

Artificial organs and rehabilitation  Jean Delbeke, Luc-Marie Jacquet 30h + 30h  5credits  2q  x x

MandatoryElective courses in biomedical engineering for ELEC students
Optional LELEC2870

Machine Learning : regression, dimensionality reduction and data visualization  Michel Verleysen 30h + 30h  5credits  1q  x x
Optional LELEC2885

Image processing and computer vision  Christophe De Vleeschouwer (coord.), Laurent Jacques (supplée Benoît Macq), Benoît Macq 30h + 30h  5credits  1q  x x
 


Management
This option is common to most Master’s in engineering, and aims to familiarize students with the basics of company management.
Students can be exempted from some of these courses on the basis of activities deemed equivalent, and for which they have been awarded credits within their former curricula. These exempted courses will be replaced by advanced courses drawn from the core curriculum of the engineering Master’s in management and/or a technological project performed with IAG students.
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

Cette option ne peut être prise simultanément avec l'option création de petites et moyennes entreprises. Le cours FSA 2240 ne fait pas partie de cette option pour les étudiants GCE. L'étudiant qui choisit cette option sélectionnefrom 16 to 20 credits among
Optional LFSA2140

Elements of industrial laws  (in French) Fernand De Visscher, Fernand De Visscher, Fernand De Visscher, Werner Derycke, Werner Derycke, Werner Derycke, Bénédicte Inghels, Bénédicte Inghels, Bénédicte Inghels 30h  3credits  1q  x x
Optional LFSA2230

Introduction to management and to business economics  (in French) Paul Belleflamme, Benoît Gailly 30h + 15h  4credits  2q  x x
Optional LFSA2240

Foundations of financial management  (in French) Gerrit Sarens 30h + 15h  4credits  2q  x x
Optional LFSA2245

Environment and Enterprise  (in French) Thierry Bréchet 30h  3credits  1q  x x
Optional LFSA2235

Project management  (in French) Ruben Alberto Chumpitaz Caceres 30h  3credits  1q  x x
Optional LFSA2210

Organisation and human resources  (in French) John Cultiaux 30h  3credits  2q  x x

MandatoryAlternative to the Management option for computer science students
Computer science students who have already followed various courses of this discipline during their Bachelor's curriculum shall select between 16 and 20 credits in the program "mineure en gestion pour les sciences informatiques" http://www.uclouvain.be/prog-2009-mingest3.html
 


Option in lauching of small and medium-sized companies
This option is common to most Master’s in engineering, and aims to familiarize students with the basic specificities of SMCs, entrepreneurship and launching, so as to develop the skills, knowledge and tools required in launching a company. Access is limited to a small number of students chosen on the basis of motivation and individual interviews. The motivation applications for this option must be submitted before the start of the academic year, to:
Secrétariat CPME - Place des Doyens 1
1348 Louvain-la-Neuve (tél 10/47 84 59).
Selected students will replace the final thesis of the core curriculum by a specific thesis in company launching (same number of credits).
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Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

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Year
1 2

Un ensemble d'informations complémentaires sur cette option sont disponibles à l'adresse http://www.uclouvain.be/cpme . Cette option ne peut être prise simultanément avec l'option en gestion/management. L'étudiant qui choisit cette option sélectionnefrom 20 to 30 credits among

MandatoryCompulsory courses
Mandatory LCPME2001

Entrepreneurship Theory  Olivier Giacomin (supplée Frank Janssen), Frank Janssen 30h  5credits    x  
Mandatory LCPME2003

Business plan of the creation of a company  Frank Janssen, Olivier Jaspers 30h  5credits      x
Mandatory LCPME2002

Managerial, legal and economic aspects of the creation of a company  (in French) Régis Coeurderoy, Yves De Cordt 30h  5credits    x x
Mandatory LCPME2004

Advanced seminar on Enterpreneurship  (in French) Frank Janssen 30h  5credits    x x

OptionalElective courses
This trainee programme is not compatible with FSA 2995
Optional LCPME2995

Stage en entreprise  (in French) N.   10credits    x x

OptionalPrerequisite CPME course
Students who have not taken a management course within their former curriculum shall include CPME2000 in their current curriculum.
Mandatory LCPME2000

Management Foundations of a small/middle size company  Régis Coeurderoy, Paul Vanzeveren 30h  5credits    x  
 


option : Cryptography & Information Security [0.0]
Offered in the programs of master in computer engineering, electrical engineering and mathematical engineering, this option provides competences enabling students to answer a broad spectrum of questions in cryptography and information security, ranging from the understanding of algorithmic and mathematical foundations to the engineering of practical solutions in constrained electronic devices and large computer systems.
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

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Year
1 2

MandatoryCours obligatoires ELEC,INFO, et MAP
Mandatory LMAT2450

Cryptography  Olivier Pereira 30h  5credits  1q  x x
Mandatory LINGI2347

Computer system security  Gildas Avoine 30h + 15h  5credits  2q  x x
Mandatory LELEC2760

Secure electronic circuits and systems  Jean-Jacques Quisquater, François-Xavier Standaert 30h + 30h  5credits  2q  x x

OptionalCours au choix ELEC INFO et MAP
Pour être validés dans l'option, ces cours nécessitent la validation préalable des cours ELEC 2760, INGI 2347 et MAT 2450
Optional LINGI2144

Secured systems engineering  Gildas Avoine 30h + 15h  5credits  1q  x x
Optional LINGI2348

Information theory and coding  Jérôme Louveaux, Benoît Macq (coord.), Olivier Pereira 30h + 15h  5credits  2q  x x
Optional LINMA2111

Discrete mathematics II : Algorithms and complexity   Vincent Blondel 30h + 22.5h  5credits  2qCourses not taught this academic year  x x
Optional LELEC2620

Design of digital electronic systems  N. 30h + 30h  5credits  2qCourses not taught this academic year  x x
Optional LELEC2870

Machine Learning : regression, dimensionality reduction and data visualization  Michel Verleysen 30h + 30h  5credits  1q  x x
Optional LMAT2440

Number theory  (in French) Pierre-Emmanuel Caprace 30h + 15h  5credits  1q  x x

OptionalCours au choix ELEC et MAP
Pour être validé dans l'option, ce cours nécessite la validation préalable des cours ELEC2760, INGI 2347 et MAT 2450
Optional LINGI2141

Computer networks: information transfer  Olivier Bonaventure 30h + 30h  5credits  1q  x x
 


Elective courses
Legend
Mandatory Optional
Courses not taught this academic year Periodic courses not taught this academic year
Periodic courses taught this academic year Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)
Year
1 2

En fonction des options choisies, l'étudiant complète si nécessaire son programme par des cours au choix pour atteindre 60 crédits pour l'ensemble "options et cours au choix".
Optional LFSA2351A

Dynamique des groupes (1er semestre)  (in French) Piotr Sobieski (coord.) 15h + 30h  3credits  1q  x x
Optional LFSA2351B

Dynamique des groupes (2ème semestre)  (in French) Piotr Sobieski (coord.) 15h + 30h  3credits  2q  x x

OptionalCours de base
Il est conseillé aux étudiants n'ayant pas suivi durant leur parcours académique antérieur les trois cours ci après (ou des équivalents) de les intégrer à leur programme.
Optional LINMA1315

Mathematical analysis : complements  (in French) Luc Haine 30h + 22.5h  5credits  2q  x  
Optional LMECA1901

Continuum mechanics.  (in French) François Dupret 30h + 30h  5credits  1q  x  
Optional LMAT1222

Complex analysis  (in French) Luc Haine 30h + 15h  5credits  2q  x  

OptionalCours recommandés
Parmi les 60 crédits de cours au choix et d'options, l'étudiant sélectionne au minimum 30 crédits parmi la liste ci-dessous et celle des cours de base.
Optional LELEC2900

Signal processing  Benoît Macq, Luc Vandendorpe 30h + 30h  5credits  2q  x x
Optional LGBIO2060

Modeliing of biological systems  Georges Bastin, Philippe Lefèvre 30h + 30h  5credits  1q  x x
Optional LINGI2348

Information theory and coding  Jérôme Louveaux, Benoît Macq (coord.), Olivier Pereira 30h + 15h  5credits  2q  x x
Optional LINMA2111

Discrete mathematics II : Algorithms and complexity   Vincent Blondel 30h + 22.5h  5credits  2qCourses not taught this academic year  x x
Optional LINMA2120

System theory seminar.  Pierre-Antoine Absil, Pierre-Antoine Absil (coord.), Pierre-Antoine Absil (supplée Vincent Wertz), Pierre-Antoine Absil (supplée Vincent Blondel), Georges Bastin, Vincent Blondel, Denis Dochain, Philippe Lefèvre, Paul Van Dooren, Vincent Wertz 20h  2credits    x x
Optional LINMA2345

Differential equations  (in French) Abdou Kouider Ben-Naoum, Jean Van Schaftingen (coord.) 30h + 22.5h  5credits  2q  x x
Optional LINMA2360

Project in mathematical engineering  (in French) Pierre-Antoine Absil, François Glineur (coord.), Yurii Nesterov, Paul Van Dooren 30h + 22.5h  5credits  2q  x x
Optional LINMA2361

Nonlinear systems   (in French) Pierre-Antoine Absil (coord.), Rodolphe Sepulchre 30h + 22.5h  5credits  1q  x x
Optional LINMA2415

Quantitative Energy Economics  (in French) Yves Smeers 30h + 22.5h  5credits  2q  x x
Optional LINMA2450

Combinatorial optimization   Jean-Charles Delvenne 30h + 22.5h  5credits  1q  x x
Optional LINMA2460

Optimization : Nonlinear programming  Yurii Nesterov 30h + 22.5h  5credits  2q  x x
Optional LINMA2472

Advanced topics in discrete mathematics  (in French) N. 30h + 22.5h  5credits  1qCourses not taught this academic year  x x
Optional LINMA2491

Operations research   (in French) Raphaël Jungers 30h + 22.5h  5credits  2q  x x
Optional LINMA2494

Optimization and operations research seminar  Philippe Chevalier, François Glineur (coord.), Yurii Nesterov, Mathieu Van Vyve 20h  2credits  2q  x x
Optional LINMA2671

Automatic : Theory and implementation   (in French) Julien Hendrickx 30h + 30h  5credits  1q  x x
Optional LINMA2710

Numerical algorithms  Paul Van Dooren 30h + 22.5h  5credits  2q  x x
Optional LINMA2720

Mathematical modelling of physical systems  (in French) Roland Keunings 30h + 22.5h  5credits  2q  x x
Optional LINMA2725

Financial mathematics   (in French) Pierre Devolder 30h + 22.5h  5credits  1q  x x
Optional LINMA2875

System Identification  Julien Hendrickx 30h + 30h  5credits  2q  x x
Optional LMAT2410

Partial differential equation : heat equation, brownian moves and numerical aspects  (in French) Alphonse Magnus 30h + 15h  5credits  2q  x x
Optional LMECA2120

Introduction to finite element methods.  (in French) Vincent Legat 30h + 30h  5credits  1q  x x
Optional LFSA2995

Stage en entreprise  (in French) Claude Oestges 30h  10credits    x x
Optional LFSA2996

Stage en entreprise  (in French) Claude Oestges   5credits    x x

OptionalAdvanced courses
Students should note that any course appearing in the options of their Master’s, but not selected as such, remains a possible elective.
Optional LMAT2110

Differential geometry I  (in French) Luc Haine 30h + 30h  5credits  1q  x x
Optional LMAT2160

Mathematics seminar  (in French) Alphonse Magnus, Enrico Vitale 0h + 45h  6credits    x x

OptionalLanguages
Students may include in their electives any language course of the Institute of Modern Languages (ILV) for a maximum of 3 credits within the 120 basic credits of their Master?s. Their attention is drawn to the following professional insertion seminars:
Optional LNEER2500

Seminar of professional integration: Dutch - intermediate level  (in French) Valérie Dachy, Isabelle Demeulenaere (coord.), Mariken Smit 30h  3credits    x x
Optional LNEER2501

Seminar of professional integration: Dutch - intermediate level  (in French) An Neven 30h  5credits  1q  x x
Optional LNEER2600

Seminar of professional integration: Dutch - upper-intermiediate level  (in French) Isabelle Demeulenaere (coord.), Mariken Smit 30h  3credits    x x
Optional LNEER2601

Séminaire d'insertion professionnelle: néerlandais - niveau approfondi  (in French) N. 30h  5credits    x x
Optional LALLE2500

German - Seminar of professional integration, intermediate level  (in French) Caroline Klein, Ann Rinder (coord.) 30h  3credits  1+2q  x x
Optional LALLE2501

German - Seminar of professional integration, intermediate level  (in French) Caroline Klein, Ann Rinder (coord.) 30h  5credits  1+2q  x x
Optional LESPA2600

Séminaire d'insertion professionnelle - espagnol  (in French) Isabel Baeza Varela 30h  3credits  1q  x x
Optional LESPA2601

Séminaire d'insertion professionnelle: espagnol  (in French) Paula Lorente Fernandez (coord.) 30h  5credits  1+2q  x x

OptionalShort term exchanges
Students may include in their curriculum any BEST or ATHENS subject to approval by the Diploma committee. These courses are worth 2 credits

OptionalGeneral knowledge courses
Students can also include in their curriculum any course given at UCL or FIW / KULeuven subject to approval of the Diploma committee.

OptionalCours de sciences humaines.
Les étudiants peuvent choisir des cours de sciences humaines pour un maximum de 6 crédits. Cette possibilité n'est cependant pas ouverte aux étudiants qui ont déjà 6 crédits de sciences humaines dans leurs options.

OptionalModule complémentaire en mathématiques financières.
Les étudiants qui suivent 15 crédits dans ce module, ainsi que INMA 2725, ACTU 2020 , ACTU 2030 et ACTU 2070, bénéficieront d'un accès direct en 2ème année du master en sciences actuarielles. Ce module n'est destiné qu'aux étudiants qui prévoient cette passerelle avec l'option en mathématiques financières.
Optional LACTU2010

NON LIFE INSURANCE 1  Michel Denuit 30h + 15h  5credits  1q  x x
Optional LACTU2040

PENSION FUNDING  Pierre Devolder 30h + 15h  5credits  2q  x x
Optional LACTU2060

LIFE INSURANCE 2  Michel Denuit 30h  5credits  2q  x x
Optional LACTU2080

REINSURANCE  Jean-François Walhin 30h  5credits  2q  x x

OptionalModule complémentaire en économie et économétrie
Les étudiants qui suivent 15 crédits dans ce module, ainsi que INMA 2415, ECON 2011 et ECON 2021, ainsi qu'un des 2 cours ECON 2031 ou ECON 2033 bénéficieront d'un accès direct en 2ème année du master en sciences économiques, orientation générale. Ce module n'est destiné qu'aux étudiants qui prévoient cette passerelle avec l'option en économie et économétrie.
Optional LECON2041

International Trade  Fabio Mariani 30h  5credits  2q  x x
Optional LECON2051

Labour economics  Muriel Dejemeppe, Bruno Van der Linden, Bruno Van der Linden (supplée Muriel Dejemeppe) 30h  5credits    x x
Optional LECON2061

Philosophy and epistemology of the economics  Christian Arnsperger 30h  5credits    x x
Optional LECON2421

History of Economic and Social Development  Isabelle Cassiers 30h  5credits    x x
Optional LECON2372

Corporate Strategy and Anti-Trust  Elisabeth Van Hecke 30h  5credits    x x

OptionalCours pour lequel le cours ECON 2031 est conseillé
Optional LECON2311

Business cycle analysis and short-term macroeconomic forecasts  Vincent Bodart, Philippe Ledent (supplée Vincent Bodart), Fatemeh Shadman Valavi (supplée Vincent Bodart) 30h  5credits    x x
Optional LECON2312

Macroeconomics of the development  Frédéric Docquier 30h  5credits  2q  x x
Optional LECON2314

Regional Inequalities and Relocation  Florian Mayneris 30h  5credits  2q  x x
Optional LECON2382

European Monetary Policy  Bernard Delbecque 30h  5credits    x x
Optional LECON2310

Basis of growth : demography, education and technological progress  Raouf Boucekkine, Hélène Latzer (supplée Raouf Boucekkine) 30h  5credits    x x

OptionalCours pour lesquels le cours ECON2033 est conseillé
Optional LECON2350

Public economy  Jean Hindriks 30h  5credits    x x
Optional LECON2352

Methods for the evaluation of public policies  William Parienté 30h  5credits  2q  x x
Optional LECON2370

Industrial Organization and Corporate Strategy  Axel Gautier, Xavier Wauthy 30h  5credits    x x

OptionalCompany training periods
Students may include in their curriculum a company training period worth 10 credits. However, if this activity is related to their final thesis, they shall choose the 5-credit FSA 2996 course.
Optional LFSA2995

Stage en entreprise  (in French) Claude Oestges 30h  10credits    x x
Optional LFSA2996

Stage en entreprise  (in French) Claude Oestges   5credits    x x