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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).

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.

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/).

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

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

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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.

. 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.

 

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.

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.

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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
LINMA2990	Travail de fin d'études	N.		28credits			x
Religion courses for student in exact sciences The student shall select2 credits among
LTECO2100	Questions of religious sciences: biblical readings	Hans Ausloos	15h	2credits	1q	x	x
LTECO2200	Questions of religious sciences: reflections about christian faith	Dominique Martens	15h	2credits	2q	x	x
LTECO2300	Questions of religious sciences: questions about ethics	Philippe Cochinaux	15h	2credits	1q	x	x

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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
LINMA2171	Numerical Analysis : Approximation, Interpolation, Integration	Pierre-Antoine Absil	30h + 22.5h	5credits	1q	x
LINMA2370	Modelling and analysis of dynamical systems	Jean-Charles Delvenne, Denis Dochain (coord.)	30h + 22.5h	5credits	1q	x
LINMA2380	Matrix theory	Paul Van Dooren	30h + 22.5h	5credits	1q	x
LINMA2470	Discrete stochastic models	Philippe Chevalier	30h + 22.5h	5credits	2q	x
LINMA2471	Optimization models and methods	François Glineur	30h + 22.5h	5credits	1q	x
Cours au choix de la finalité spécialisée du master en Mathématiques Appliquées (5credits) L'étudiant complète son programme en choisissant un des deux cours suivants. S'il les a déjà suivi au cours de son parcours académique antérieur, il choisit un autre cours de 5 crédits du master ingénieur civil en mathématiques appliquées.
LINMA1510	Linear Control	Denis Dochain	30h + 30h	5credits	2q	x	x
LINMA1731	Stochastic processes : Estimation and prediction	Pierre-Antoine Absil, Luc Vandendorpe (coord.)	30h + 30h	5credits	2q	x	x

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
The student shall select from 15 to 27 credits among
LINMA2360	Project in mathematical engineering	Pierre-Antoine Absil, François Glineur (coord.), Yurii Nesterov, Paul Van Dooren	30h + 22.5h	5credits	2q	x	x
LINMA2415	Quantitative Energy Economics	Anthony Papavasiliou	30h + 22.5h	5credits	2q	x	x
LINMA2450	Combinatorial optimization	Jean-Charles Delvenne	30h + 22.5h	5credits	1q	x	x
LINMA2460	Optimization : Nonlinear programming	Yurii Nesterov	30h + 22.5h	5credits	2q	x	x
LINMA2491	Operational Research	Anthony Papavasiliou	30h + 22.5h	5credits	2q	x	x
LINMA2494	Optimization and operations research seminar	Philippe Chevalier, François Glineur (coord.), Yurii Nesterov, Mathieu Van Vyve	20h	2credits	1+2q	x	x

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.   

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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 from 15 to 30 credits among
Cours conseillés en automatique et systèmes dynamiques L'étudiant sélectionne au minimum 10 crédits parmi
LINMA2120	System theory seminar.	Pierre-Antoine Absil, Vincent Blondel, Jean-Charles Delvenne (coord.), Julien Hendrickx, Philippe Lefèvre, Paul Van Dooren	20h	2credits		x	x
LINMA2345	Differential equations	Abdou Kouider Ben-Naoum	30h + 22.5h	5credits	2q	x	x
LINMA2360	Project in mathematical engineering	Pierre-Antoine Absil, François Glineur (coord.), Yurii Nesterov, Paul Van Dooren	30h + 22.5h	5credits	2q	x	x
LINMA2361	Nonlinear systems	Pierre-Antoine Absil	30h + 22.5h	5credits	1q	x	x
LINMA2671	Automatic : Theory and implementation	Julien Hendrickx	30h + 30h	5credits	1q	x	x
LINMA2875	System Identification	Julien Hendrickx	30h + 30h	5credits	2q	x	x
Cours d'intérêt en automatique et systèmes dynamiques
LELEC2870	Machine Learning : regression, dimensionality reduction and data visualization	Michel Verleysen	30h + 30h	5credits	1q	x	x
LGBIO2060	Modeliing of biological systems	Philippe Lefèvre	30h + 30h	5credits	1q	x	x
LINGI2262	Machine Learning :classification and evaluation	Pierre Dupont	30h + 30h	5credits	1q	x	x
LMAPR2510	Mathematical ecology	Eric Deleersnijder, Denis Dochain	30h + 22.5h	5credits	2q	x	x
LMECA2732	Introduction to robotics	Renaud Ronsse	30h + 15h	4credits	2q	x	x

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.

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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 from 15 to 30 credits among
LINGI1123	Computability and complexity	Yves Deville	30h + 30h	4credits	2q	x	x
LINMA2111	Discrete mathematics II : Algorithms and complexity	Vincent Blondel	30h + 22.5h	5credits	2q	x	x
LINMA2450	Combinatorial optimization	Jean-Charles Delvenne	30h + 22.5h	5credits	1q	x	x
LINMA2472	Advanced topics in discrete mathematics	Vincent Blondel (coord.), Jean-Charles Delvenne	30h + 22.5h	5credits	1q	x	x
LINMA2710	Numerical algorithms	Paul Van Dooren	30h + 22.5h	5credits	2q	x	x
LMAT2450	Cryptography	Olivier Pereira	30h + 15h	5credits	1q	x	x
LMAT2460	Finite mathematics and combinatorial structures	Mélanie Raczek, Jean-Pierre Tignol	30h	5credits	1q	x	x
LSINF1121	Algorithmics and data structures	Pierre Dupont	30h + 30h	5credits	1q	x	x

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.

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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 from 15 to 20 credits among
LINMA2725	Financial mathematics	Pierre Devolder	30h + 22.5h	5credits	1q	x	x
LACTU2020	Fixed income mathematics	Pierre Devolder	30h + 15h	5credits	1q	x	x
LACTU2030	LIFE INSURANCE 1	Michel Denuit, Françoise Gilles, Françoise Gilles (supplée Michel Denuit)	30h + 15h	5credits	1q	x	x
LACTU2070	STOCHASTIC FINANCE 1	Pierre Devolder	30h	5credits	2q	x	x

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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 from 15 to 30 credits among
Cours préalable en traitement de l'information et du signal Les étudiants qui n'ont pas suivi LINMA 1510 ou un équivalent au cours de leur parcours antérieur doivent l'inclure dans leur programme d'option. Dans ce cas le minimum de crédits requis par l'option passe à 20 crédits
LINMA1510	Linear Control	Denis Dochain	30h + 30h	5credits	2q	x	x
Cours obligatoires (ELEC/ELME) / conseillés (MAP) en traitement du signal
LINGI2348	Information theory and coding	Jérôme Louveaux, Benoît Macq (coord.), Olivier Pereira	30h + 15h	5credits	2q	x	x
LELEC2870	Machine Learning : regression, dimensionality reduction and data visualization	Michel Verleysen	30h + 30h	5credits	1q	x	x
LELEC2885	Image processing and computer vision	Christophe De Vleeschouwer (coord.), Laurent Jacques (supplée Benoît Macq), Benoît Macq	30h + 30h	5credits	1q	x	x
Cours au choix en traitement du signal
LELEC2880	Modem design	Jérôme Louveaux, Luc Vandendorpe	30h + 30h	5credits	2q	x	x
LINGI2262	Machine Learning :classification and evaluation	Pierre Dupont	30h + 30h	5credits	1q	x	x
LINMA2111	Discrete mathematics II : Algorithms and complexity	Vincent Blondel	30h + 22.5h	5credits	2q	x	x
LMAT2450	Cryptography	Olivier Pereira	30h + 15h	5credits	1q	x	x
LINMA2875	System Identification	Julien Hendrickx	30h + 30h	5credits	2q	x	x
Cours au choix exclusivement pour les étudiants du master ELEC/ELME
LINMA1691	Discrete mathematics - Graph theory and algorithms	Vincent Blondel	30h + 22.5h	5credits	1q	x	x
LINMA1702	Applied mathematics : Optimization I	Vincent Blondel, François Glineur (coord.)	30h + 22.5h	5credits	2q	x	x
LINMA2380	Matrix theory	Paul Van Dooren	30h + 22.5h	5credits	1q	x	x
Cours au choix uniquement pour les étudiants du master MAP
LELEC1360	TELECOMMUNICATIONS	Luc Vandendorpe	30h + 30h	5credits	2q	x	x
LELEC2900	Signal processing	Benoît Macq, Luc Vandendorpe	30h + 30h	5credits	2q	x	x

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.

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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 from 15 to 30 credits among
Compulsory 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 LGBIO 2010.
LGBIO2010	Bioinformatics	Yves Deville, Michel Ghislain	30h + 30h	5credits	2q	x	x
LGBIO2020	Bioinstrumentation	André Mouraux, Michel Verleysen	30h + 30h	5credits	1q	x	x
LGBIO2030	Biomaterials	Sophie Demoustier, Christine Dupont, Gaëtane Leloup (coord.)	30h + 30h	5credits	2q	x	x
LGBIO2040	Biomechanics	Emilie Marchandise	30h + 30h	5credits	2q	x	x
LGBIO2050	Medical Imaging	Anne Bol, John Lee (supplée Benoît Macq), Benoît Macq, Frank Peeters	30h + 30h	5credits	1q	x	x
LGBIO2060	Modeliing of biological systems	Philippe Lefèvre	30h + 30h	5credits	1q	x	x
LGBIO2070	Artificial organs and rehabilitation	Luc-Marie Jacquet, Philippe Lefèvre, Renaud Ronsse	30h + 30h	5credits	2q	x	x
Elective courses in biomedical engineering for ELEC students
LELEC2870	Machine Learning : regression, dimensionality reduction and data visualization	Michel Verleysen	30h + 30h	5credits	1q	x	x
LELEC2885	Image processing and computer vision	Christophe De Vleeschouwer (coord.), Laurent Jacques (supplée Benoît Macq), Benoît Macq	30h + 30h	5credits	1q	x	x

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.

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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 from 15 to 30 credits among
Cours obligatoires ELEC,INFO, et MAP
LMAT2450	Cryptography	Olivier Pereira	30h + 15h	5credits	1q	x	x
LINGI2347	Computer system security	Gildas Avoine	30h + 15h	5credits	2q	x	x
LELEC2760	Secure electronic circuits and systems	François-Xavier Standaert	30h + 30h	5credits	2q	x	x
Cours au choix ELEC INFO et MAP Pour être validés dans l'option, ces cours nécessitent la validation préalable des cours LELEC 2760, LINGI 2347 et LMAT 2450
LINGI2144	Secured systems engineering	Gildas Avoine	30h + 15h	5credits	1q	x	x
LINGI2348	Information theory and coding	Jérôme Louveaux, Benoît Macq (coord.), Olivier Pereira	30h + 15h	5credits	2q	x	x
LINMA2111	Discrete mathematics II : Algorithms and complexity	Vincent Blondel	30h + 22.5h	5credits	2q	x	x
LELEC2620	Modeling and implementation of analog and mixed analog/digital circuits and systems on chip	David Bol	30h + 30h	5credits	2q	x	x
LELEC2870	Machine Learning : regression, dimensionality reduction and data visualization	Michel Verleysen	30h + 30h	5credits	1q	x	x
LMAT2440	Number theory	Olivier Pereira, Jean-Pierre Tignol	30h + 15h	5credits	1q	x	x
Cours au choix ELEC et MAP Pour être validé dans l'option, ce cours nécessite la validation préalable des cours LELEC2760, LINGI 2347 et LMAT 2450
LINGI2141	Computer networks: information transfer	Olivier Bonaventure	30h + 30h	5credits	1q	x	x

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.

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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 from 15 to 30 credits among
LELEC1350	APPLIED ELECTROMAGNETISM	Christophe Craeye, Danielle Janvier	30h + 30h	5credits	1q	x	x
LMAPR2510	Mathematical ecology	Eric Deleersnijder, Denis Dochain	30h + 22.5h	5credits	2q	x	x
LMAT2130	Partial differential equations : Poisson and Laplace equations	Augusto Ponce, Jean Van Schaftingen	30h + 30h	5credits	1q	x	x
LMAT2410	Partial differential equation : heat equation, brownian moves and numerical aspects	Augusto Ponce, Jean Van Schaftingen	30h + 15h	5credits	2q	x	x
LMECA1100	Deformable solid mechanics.	Issam Doghri	30h + 30h	5credits	2q	x	x
LMECA1321	Fluid mechanics and transfer phenomena.	Vincent Legat, Grégoire Winckelmans	30h + 30h	5credits	2q	x	x
LMECA1120	Introduction to finite element methods.	Vincent Legat	30h + 30h	5credits	2q	x	x
LMECA2131	Introduction to nonlinear solid mechanics.	Issam Doghri	30h + 30h	5credits	2q	x	x
LMECA2141	Rheology.	Christian Bailly, Vincent Legat	30h + 30h	5credits	2q	x	x
LMECA2660	Numerical methods in fluid mechanics.	Grégoire Winckelmans	30h + 30h	5credits	2q	x	x
LPHY1352A	Physique des fluides	N.	22.5h + 7.5h	4credits		x	x
LINMA2720	Mathematical modelling of physical systems	Roland Keunings	30h + 22.5h	5credits	2q	x	x

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).

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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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						1	2
The student shall select from 15 to 30 credits among
LMAT1371	Probability	Johan Segers	30h + 22.5h	5credits	2q	x	x
LSTAT2020	Statistical computing	Céline Bugli (supplée Bernadette Govaerts), Bernadette Govaerts	20h + 20h	5credits	1q	x	x
LSTAT2030	Statistical analysis	Anouar El Ghouch, Rainer von Sachs	30h + 22.5h	4credits	2q	x	x
LSTAT2100	Discrete data analysis.	Patrick Bogaert, Anouar El Ghouch	22.5h + 7.5h	4credits	2q	x	x
LSTAT2110	Data Analysis	Christian Hafner, Cédric Heuchenne (supplée Christian Hafner), Johan Segers	22.5h + 7.5h	4credits	1q	x	x
LSTAT2120	Linear models	Christian Hafner	22.5h + 7.5h	4credits	2q	x	x
LSTAT2130	Introduction to Bayesian statistics.	Philippe Lambert	15h + 5h	3credits	2q	x	x
LSTAT2170	Times series	Rainer von Sachs	22.5h + 7.5h	4credits	1q	x	x
LSTAT2320	Design of experiment.	Patrick Bogaert, Bernadette Govaerts	22.5h + 7.5h	4credits	2q	x	x
LSTAT2350	Data Mining	Libei Chen	15h + 15h	4credits	2q	x	x

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.

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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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Cette option ne peut être prise simultanément avec l'option création de petites et moyennes entreprises. Le cours LFSA 2240 ne fait pas partie de cette option pour les étudiants GCE. L'étudiant qui choisit cette option sélectionne from 16 to 20 credits among
LFSA2140	Elements of industrial laws	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
LFSA2230	Introduction to management and to business economics	Benoît Gailly	30h + 15h	4credits	2q	x	x
LFSA1290	Introduction to financial and accounting management	Gerrit Sarens	30h + 15h	4credits	2q	x	x
LFSA2245	Environment and Enterprise	Thierry Bréchet	30h	3credits	1q	x	x
LFSA2235	Project management	N.	30h	3credits	1q	x	x
LFSA2210	Organisation and human resources	John Cultiaux	30h	3credits	1q	x	x
Alternative 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-2011-mingest3.html

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)

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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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						1	2
The student shall select from 15 to 25 credits among
LECON2011	Interdependencies and Strategic Behavior	Julio Davila Muro	30h + 12h	5credits	2q	x	x
LECON2021	Macroeconomics models	David De la Croix	30h + 12h	5credits		x	x
LECON2031	Applied Econometrics : Time Series	Sébastien Van Bellegem	30h + 12h	5credits	1q	x	x
LECON2033	Applied econometrics: Microeconometrics	Muriel Dejemeppe	30h + 12h	5credits	1q	x	x
LINMA2415	Quantitative Energy Economics	Anthony Papavasiliou	30h + 22.5h	5credits	2q	x	x

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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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 sélectionneminimum 20 credits among
Compulsory courses
LCPME2001	Entrepreneurship Theory (in French)	Frank Janssen	30h	5credits	1q	x
LCPME2003	Business plan of the creation of a company (in French)	Frank Janssen	30h	5credits	2q		x
LCPME2002	Managerial, legal and economic aspects of the creation of a company (in French)	Régis Coeurderoy, Yves De Cordt, Marine Falize (supplée null)	30h	5credits	1q	x	x
LCPME2004	Advanced seminar on Enterpreneurship (in French)	Frank Janssen	30h	5credits	2q	x	x
Prerequisite CPME course Students who have not taken a management course within their former curriculum shall include LCPME2000 in their current curriculum.
LCPME2000	Venture creation financement and management I	Régis Coeurderoy, Olivier Giacomin (supplée Régis Coeurderoy), Paul Vanzeveren	30h	5credits	1+2q	x

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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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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".
LFSA2351A	Group dynamics	Piotr Sobieski	15h + 30h	3credits	1q	x	x
LFSA2351B	Group dynamics	Piotr Sobieski	15h + 30h	3credits	2q	x	x
Cours 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.
LINMA1315	Mathematical analysis : complements	Michel Willem	30h + 22.5h	5credits	2q	x
LMECA1901	Continuum mechanics.	François Dupret	30h + 30h	5credits	1q	x
LMAT1222	Complex analysis	Luc Haine	30h + 15h	5credits	2q	x
Cours 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.
LELEC2900	Signal processing	Benoît Macq, Luc Vandendorpe	30h + 30h	5credits	2q	x	x
LGBIO2060	Modeliing of biological systems	Philippe Lefèvre	30h + 30h	5credits	1q	x	x
LINGI2348	Information theory and coding	Jérôme Louveaux, Benoît Macq (coord.), Olivier Pereira	30h + 15h	5credits	2q	x	x
LINMA2111	Discrete mathematics II : Algorithms and complexity	Vincent Blondel	30h + 22.5h	5credits	2q	x	x
LINMA2120	System theory seminar.	Pierre-Antoine Absil, Vincent Blondel, Jean-Charles Delvenne (coord.), Julien Hendrickx, Philippe Lefèvre, Paul Van Dooren	20h	2credits		x	x
LINMA2345	Differential equations	Abdou Kouider Ben-Naoum	30h + 22.5h	5credits	2q	x	x
LINMA2360	Project in mathematical engineering	Pierre-Antoine Absil, François Glineur (coord.), Yurii Nesterov, Paul Van Dooren	30h + 22.5h	5credits	2q	x	x
LINMA2361	Nonlinear systems	Pierre-Antoine Absil	30h + 22.5h	5credits	1q	x	x
LINMA2415	Quantitative Energy Economics	Anthony Papavasiliou	30h + 22.5h	5credits	2q	x	x
LINMA2450	Combinatorial optimization	Jean-Charles Delvenne	30h + 22.5h	5credits	1q	x	x
LINMA2460	Optimization : Nonlinear programming	Yurii Nesterov	30h + 22.5h	5credits	2q	x	x
LINMA2472	Advanced topics in discrete mathematics	Vincent Blondel (coord.), Jean-Charles Delvenne	30h + 22.5h	5credits	1q	x	x
LINMA2491	Operational Research	Anthony Papavasiliou	30h + 22.5h	5credits	2q	x	x
LINMA2494	Optimization and operations research seminar	Philippe Chevalier, François Glineur (coord.), Yurii Nesterov, Mathieu Van Vyve	20h	2credits	1+2q	x	x
LINMA2671	Automatic : Theory and implementation	Julien Hendrickx	30h + 30h	5credits	1q	x	x
LINMA2710	Numerical algorithms	Paul Van Dooren	30h + 22.5h	5credits	2q	x	x
LINMA2720	Mathematical modelling of physical systems	Roland Keunings	30h + 22.5h	5credits	2q	x	x
LINMA2725	Financial mathematics	Pierre Devolder	30h + 22.5h	5credits	1q	x	x
LINMA2875	System Identification	Julien Hendrickx	30h + 30h	5credits	2q	x	x
LMAT2130	Partial differential equations : Poisson and Laplace equations	Augusto Ponce, Jean Van Schaftingen	30h + 30h	5credits	1q	x	x
LMAT2450	Cryptography	Olivier Pereira	30h + 15h	5credits	1q	x	x
LMECA1120	Introduction to finite element methods.	Vincent Legat	30h + 30h	5credits	2q	x	x
LFSA2995	Stage en entreprise	Claude Oestges, Claude Oestges, Claude Oestges	30h	10credits		x	x
LFSA2996	Stage en entreprise	N.		5credits		x	x
Advanced courses for applied math. Master Students should note that any course appearing in the options of their Master, but not selected as such, remains a possible elective.
LMAT2110	Eléments de géométrie différentielle	Luc Haine	30h + 30h	5credits	1q	x	x
LMAT2160	Mathematics seminar	Enrico Vitale	0h + 45h	6credits	2q	x	x
Languages 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 Masters. Their attention is drawn to the following professional insertion seminars:
LNEER2500	Seminar of professional integration: Dutch - intermediate level	Isabelle Demeulenaere (coord.), Mariken Smit	30h	3credits		x	x
LNEER2600	Seminar of professional integration: Dutch - upper-intermediate level	Isabelle Demeulenaere	30h	3credits		x	x
LALLE2500	German - Seminar of professional integration, intermediate level	Caroline Klein, Ann Rinder (coord.)	30h	3credits	1+2q	x	x
LALLE2501	German - Seminar of professional integration, intermediate level	Caroline Klein, Ann Rinder (coord.)	30h	5credits	1+2q	x	x
LESPA2600	Séminaire d'insertion professionnelle - espagnol	Isabel Baeza Varela, Carmen Vallejo Villamor (supplée Isabel Baeza Varela)	30h	3credits	1q	x	x
LESPA2601	Spanish - Seminar of professional integration	Natalia Jeronimo Alonso (supplée null), Paula Lorente Fernandez (coord.)	30h	5credits	1q	x	x
Short term exchanges Students may include in their curriculum any BEST or ATHENS cours subject to approval by the Program committee. These courses are worth 2 credits
General knowledge courses Students can also include in their curriculum any course given at UCL or FIW / KULeuven subject to approval of the program committee.
Cours 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.
Module complémentaire en mathématiques financières. Les étudiants qui suivent 15 crédits dans ce module, ainsi que LINMA 2725, LACTU 2020 , LACTU 2030 et LACTU 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.
LACTU2010	NON LIFE INSURANCE 1	Cindy Courtois (supplée Michel Denuit), Michel Denuit	30h + 15h	5credits	1q	x	x
LACTU2040	PENSION FUNDING	Pierre Devolder	30h + 15h	5credits	2q	x	x
LACTU2060	LIFE INSURANCE 2	Michel Denuit	30h	5credits	2q	x	x
LACTU2080	Reinsurance	Jean-François Walhin	30h	5credits	2q	x	x
Module complémentaire en économie et économétrie Les étudiants qui suivent 15 crédits dans ce module, ainsi que LINMA 2415, LECON 2011 et LECON 2021, ainsi qu'un des 2 cours LECON 2031 ou LECON 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.
LECON2041	International Trade	Fabio Mariani	30h	5credits	2q	x	x
LECON2051	Labour, unemployment and Politics	Muriel Dejemeppe, Bruno Van der Linden, Bruno Van der Linden (supplée Muriel Dejemeppe)	30h	5credits	2q	x	x
LECON2061	Philosophy and epistemology of the economics	Christian Arnsperger	30h	5credits	1q	x	x
LECON2421	History of Economic and Social Development	Isabelle Cassiers	30h	5credits	1q	x	x
LECON2372	Economics of Competition Policy	Elisabeth Van Hecke	30h	5credits	1q	x	x
Cours pour lequel le cours LECON 2031 est conseillé
LECON2311	Business cycle analysis and short-term macroeconomic forecasts	Vincent Bodart, Philippe Ledent (supplée Vincent Bodart), Fatemeh Shadman Valavi (supplée Vincent Bodart)	30h	5credits	2q	x	x
LECON2312	Macroeconomics of the development	Frédéric Docquier	30h	5credits	2q	x	x
LECON2314	Economic Geography	Florian Mayneris	30h	5credits	2q	x	x
LECON2382	Seminar on Contemporary Economic Issues III	Bernard Delbecque	30h	5credits	1q	x	x
LECON2310	Topics in Economic Growth: Theory and Applications	Hélène Latzer (supplée null)	30h	5credits	2q	x	x
Cours pour lesquels le cours LECON2033 est conseillé
LECON2350	Public Management	Jean Hindriks	30h	5credits	2q	x	x
LECON2352	Methods for the evaluation of public policies	William Parienté	30h	5credits	1q	x	x
LECON2370	Industrial Organization and Competition Policy	Mathieu Parenti	30h	5credits	1q	x	x
Company 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 LFSA 2996 course.
LFSA2995	Stage en entreprise	Claude Oestges, Claude Oestges, Claude Oestges	30h	10credits		x	x
LFSA2996	Stage en entreprise	N.		5credits		x	x