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Mathematical Engineering is the domain of Engineering Sciences aimed at creating, analysing and applying mathematical models for the engineering of complex systems in the industrial or organisational world and for elaborating efficient strategies for optimising their performance. |
The programme leading to a degree in Civil Engineering-Applied Mathematics is accessible to all students holding the first study cycle diploma ("candidature") in Civil Engineering. Industrial engineers and certain university degree holders in subjects relating to the Exact Sciences may also be entitled access, as may students with a foreign degree judged as being equivalent. |
The University admission and enrolment procedures are detailed in the section : "Access to studies" on the web page : http://www.ucl.ac.be/etudes/libres/acces.html |
Mathematical engineering is by nature interdisciplinary and the programme therefore comprises a wide range of semi-optional courses in the subjects which form the basis of these studies : algebra and geometry, algorithmics and discreet mathematics, optimisation and operational research, automatics and theory of dynamic systems, numerical analysis, statistics and probability, analysis and theory of differential equations, mathematical modelling of physical phenoma. |
1. Programme composition |
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To obtain the degree in Civil Engineering - Applied Mathematics, the student must have already followed the programme below : |
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General and polyvalent courses |
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General courses : |
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FSA2300 |
Religious Science Questions[15h] (2 credits) (in French) | ||||
FSA2323 |
none[30h+15h] (4 credits) (in French) | ||||
FSA2240 |
Foundations of financial management[30h+15h] (4 credits) (in French) | ||||
Polyvalent courses: |
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ELEC2751 |
A préciser (in French) | ||||
INGI2716 |
Computer science 3[30h+30h] (5 credits) (in French) | ||||
As well as 12 ECTS from among the following courses : |
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ELEC2752 |
N. |
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ELEC2753 |
POWER ELECTRICAL ENGINEERING[30h+30h] (5 credits) (in French) | ||||
FSA2220 |
Introduction to life science[60h] (6 credits) (in French) |
Spyridon Agathos, Georges Bastin, Jean Lebacq, Philippe Lefèvre (coord.), Vincent Legat, Yves-Jacques Schneider |
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MAPR2805 |
A préciser (in French) | ||||
MAPR2806 |
Introduction to process engineering[30h] (3 credits) (in French) | ||||
MECA2855 |
A préciser (in French) | ||||
MECA2100 |
A préciser (in French) | ||||
The students will only follow a part of this course [30 hours + 30 hours] |
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MECA2953 |
Kinematics and dynamics of machinery.[22.5h+7.5h] (3 credits) | ||||
ELEC2930 |
Intoduction to telecommunication[30h+15h] (4 credits) (in French) | ||||
BIR1312 |
Introduction to analytical chemistry[30h] (2.5 credits) (in French) | ||||
Specialised courses |
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Subjects : |
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Each MAP student will take the compulsory courses of the 8 following subjects as well as a semi-optional course in 6 out of the 8 subjects, in line with the programme rules defined by the MAP degree programme Management Committee, communicated to the students at the beginning of the academic year (http://www.inma.ucl.ac.be/etudes). |
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70.01. Automatics and Systems. |
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70.02. Algebra and Geometry |
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70.03. Analysis, Equations Differentials. |
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70.04. Numerical Analysis. |
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70.05. Mathematical Modelling of Physical Phenomena. |
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70.06. Discreet Mathematics and Algorithmics. |
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70.07. Optimisation and Operational Research. |
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70.08. Statistics and Probability. |
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Seminars : |
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The students will also follow a second cycle seminar, to be chosen from among : |
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INGI2750 |
A préciser (in French) | ||||
INMA2494 |
Operations research seminar[30h] (2 credits) (in French) | ||||
MATH2830 |
Numerical analysis seminar[30h] (2 credits) (in French) | ||||
or a seminar from the third study cycle, recommended in the context of the thesis. |
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Options : |
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Each student will complete his programme with a choice of optional courses leading to a programme comprising at least 60 credits in the first and second year and at least 180 credits over the three years. The end of course thesis counts for 30 credits. |
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All the optional courses from group 70 are to be recommended, as well as the following : |
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ELEC2870 |
Artificial neural networks[30h+30h] (5 credits) (in French) | ||||
ELEC2875 | |||||
INIS2980 |
Modélisation des systèmes biologiques[45h] (4 credits) (in French) | ||||
INMA2491 |
Operations research for production and logistics[30h+22.5h] (5 credits) (in French) | ||||
INMA2720 |
Computing techniques for applied mathematics[30h+15h] (4 credits) (in French) | ||||
MATH2130 |
N. |
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MATH2360 |
Stochastic processes (statistics)[30h] (3.5 credits) (in French) | ||||
MECA2170 |
Mechanical computer-aided design.[30h+30h] (5 credits) (in French) | ||||
MECA2322 |
Fluid mechanics and transfer II.[30h+30h] (5 credits) (in French) | ||||
MECA2323 |
Aerodyamics of external flows.[30h+30h] (5 credits) (in French) | ||||
MECA2620 |
Simulation of transfer phenomenia in industrial processes.[30h+10h] (4 credits) (in French) | ||||
MECA2646 |
Reliability and probabilistic risk analysis.[30h] (3 credits) | ||||
MECA2853 |
Turbulence.[30h+15h] (4 credits) (in French) | ||||
STAT2410 |
Discrete data analysis.[22.5h+7.5h] (5 credits) (in French) | ||||
STAT2411 |
Data Analysis[22.5h+7.5h] (5 credits) (in French) |
Isabelle De Macq (supplée Léopold Simar), Léopold Simar |
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STAT2412 |
Linear models[22.5h+7.5h] (5 credits) (in French) | ||||
STAT2413 |
Non parametric statistics[22.5h+7.5h] (5 credits) (in French) | ||||
STAT2510 |
Statistical quality control.[15h] (2.5 credits) (in French) | ||||
The student may also complete his programme with any course featuring on the Unversity programme, subject to the agreement of the programme ManagemeCt committee. |
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Optional projects : |
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The students may include the integrated project in mathematical engineering (INMA 2375) on their course options programme. |
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On the other hand, they also have the possibility to replace two of the courses from the "22" programme by a long-term project spread over two quadrimesters. The procedures to be applied will be specified by the programme Mangement Committee at the beginning of the academic year. |
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Communication training workshop : |
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A workshop in oral and audiovisual communication is organised for the students of the final year. Participation in this workshop is obligatory but does not give rise to any marks. |
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Language course : |
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During the second cycle, the students may follow various language courses, organised by the ILV. These courses represent a minimum of 30 hours (3 credits) of the total volume of the optional part of their programme. |
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A specific course aimed at improving the linguistic skills and professional interactive communication capacities of the students, is especially organised for the FSA students. |
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ANGL2470 |
English communication skills for engineers[30h] (3 credits) | ||||
Stage: |
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The students are encouraged to do an apprenticeship in an enterprise for a minimal duration of three weeks during their second study cycle. This apprenticeship represents 3 credits (30 hours) of the overall volume of their programme. It is subject to the prior approval of the degree programme Management Committee and concludes with a report. It will be ratified by an evaluation specifying "has/has not satisfied the requirements". |
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End of course thesis. |
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This piece of work, completed in the third year, travail, represents 30 credits (c.f. instructions on the end of course project work for the MAP degree programme). |
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"Economics" orientation |
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The students can obtain the degree in Civil Engineering-Applied Mathematics, in the "Economics" orientation. This orientation comprises a total of nine courses, including the five following compulsory ones : |
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ECON2125 |
Macro-economics[60h+30h] (9 credits) (in French) | ||||
ECON2135 |
Econometrics: methods and applications[45h+45h] (12 credits) (in French) | ||||
ECON2151 |
Economics and monetary institutions[30h+15h] (6 credits) (in French) |
N. |
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ECON2152 |
Economics and Public Finances[30h+15h] (4.5 credits) (in French) | ||||
INMA2415 |
Computation of economic equilibria[30h+30h] (5 credits) (in French) | ||||
and four courses to be chosen from among the following : |
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ECON2208 |
International Trade[30h+15h] (4.5 credits) (in French) | ||||
ECON2238 |
Financial economics[30h] (3 credits) (in French) | ||||
ECON2242 |
Conjunctural Fluctuations and Cycles[30h] (4 credits) |
N. |
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ECON2243 |
Game and Information Theory[30h] (3 credits) (in French) | ||||
ECON2244 |
General Equilibrium Theory[30h] (3 credits) (in French) | ||||
ECON2245 |
Econometrics[30h+15h] (4 credits) (in French) | ||||
ECON2251 |
History of Economic Theories[30h] (3 credits) (in French) | ||||
ECON3510 |
Public Economics[30h] (3.5 credits) (in French) | ||||
FSA2245 |
Environnement et entreprise[30h] (3 credits) (in French) | ||||
The student's programme must first receive the agreement of one of the course lecturers and then be approved by the MAP programme Management Committee. |
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Degree holders in Civil Engineering-Applied Mathematics, Economics orientation, may have direct access to the next study cycle ("maîtrise") in Economic Sciences or to the 'Master of Arts in Economics', organised by the Economic Sciences Department (cf. UCL, study programme, ESPO Faculty), on condition that they obtained at least one distinction during their engineering studies (2nd cycle) and followed 5 core courses in Economic Sciences in the 2nd year. If these courses have not been taken, they will have to be added to the "Maîtrise" or 'Master's' programme.. |
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These same engineers will be able to benefit from special access conditions as well as from the exchange programme with the Universities of Chicago and Cornell. |
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The students who have followed the complete 70.08 " Statistics and Probability " module, as well as at least two options from the same module, are entitled access, in one year, to the DEA in Statistics. Civil engineers in Applied Mathematics are entitles access to the DEA in Mathematics. |
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2. Programme per year of studies. |
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The programmes listed below, only present the compulsory courses. |
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In addition to the compulsory courses, the student will complete his programme with options in line with the reglementation of the MAP2 programme. His choice will have to be approved by the MAP programme Management Committee. |
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Compulsory courses |
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The total of the credits for the MAP 21year must at least equal 60. |
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First quadrimester |
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ELEC2751 |
A préciser (in French) | ||||
MECA2901 |
A préciser (in French) | ||||
INMA2315 |
A préciser (in French) | ||||
INMA2701 |
A préciser (in French) | ||||
INMA2702 |
A préciser (in French) | ||||
Second quadrimester |
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FSA2323 |
none[30h+15h] (4 credits) (in French) | ||||
INMA2691 |
A préciser (in French) | ||||
INGI2716 |
Computer science 3[30h+30h] (5 credits) (in French) | ||||
INMA2471 |
Optimization models and methods[30h+22.5h] (5 credits) | ||||
INMA2325 |
A préciser (in French) | ||||
MATH2172 |
A préciser (in French) | ||||
Options, general courses |
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In this category, the student must at least total 12 credits over the three years.. |
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Speciality courses |
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In this category, the student must at least follow one course in 6 of the 8 subjects constituting the 70.XX group, over the three years of studies. He will complete his programme with options (c.f. above). |
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The second year programme comprises at least 60 credits. This total includes the options to be chosen in line with the MAP programme reglementation. In order to allow a certain flexibility in the composition of the study programmes, the students are authorised, subject to the agreement of the MAP programme Management Committee, to transfer the FSA2240 course from the second year to the third. |
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Compulsory courses |
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The total number of credits for MAP 21 + MAP 22 must at least be equal to 120. |
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First quadrimester |
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INMA2370 |
Modelling and analysis of dynamical systems[30h+30h] (5 credits) (in French) |
Georges Bastin, Vincent Wertz, Vincent Wertz (supplée Georges Bastin) |
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INMA2470 |
Discrete stochastic models[30h+22.5h] (5 credits) (in French) | ||||
Second quadrimester |
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FSA2240 |
Foundations of financial management[30h+15h] (4 credits) (in French) | ||||
INMA2380 |
Matrix theory[30h+22.5h] (5 credits) (in French) | ||||
MATH2171 |
A préciser (in French) | ||||
Options, general courses |
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In this category, the student must total at least 12 credits, over the three years. |
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Speciality courses |
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In this category, the student must follow at least one course in 6 of the 8 subjects constituting the 70.XX group, over the three years of studies. He will complete his programme with courses taken from the list of options (cfr. above). |
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The total volume of courses and seminars for the three years must represent at least 150 credits. The end of course thesis represents 30 credits. In order to allow a certain flexibility in the composition of the study programmes, the students are authorised, subject to the agreement of the MAP programme Mangement Committee, to transfer the FSA2300 course from the third year to the second year. |
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Compulsory courses |
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The total of credits at the end of the MAP 23 year, must at least be equal to 180. |
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First quadrimester |
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FSA2300 |
Religious Science Questions[15h] (2 credits) (in French) | ||||
Second quadrimester |
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a seminar (2 credits) and the thesis (30 credits) |
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Options, general courses |
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In this category, the student must total at least 12 credits, over the three years. |
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Speciality courses |
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In this category, the student must follow at least one course in 6 of the 8 subjects constituting the 70.XX group, over the three years of studies. He will complete his programme with courses taken from the list of options (cfr. above). |