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The regular conditions and admission procedures are detailed on the web page "Access to studies" : http://www.ucl.ac.be/etudes/libres/acces.html |
The second cycle of university studies, ("licence") programme in Mathematical Sciences offers three orientations : the classical orientation, the statistics orientation and the mathematical economics orientation. The only students entitled access to the mathematical economics orientation are those who have followed a course on mathematical economics on their MATH 12 programme. |
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The statistics and mathematical economics orientations are characterised by the presence of a certain number of advanced courses in the corresponding speciality ; they also foster the orientation of the thesis towards the selected speciality. All orientations lead to the same "licencié" degree in Mathematical Sciences. |
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Core courses |
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MATH2171 |
A préciser (in French) | ||||
MATH2480 |
Differential geometry[30h+15h] (5 credits)1q (in French) | ||||
MATH2430 |
A préciser (in French) | ||||
MATH2111 |
A préciser (in French) | ||||
SC2140 |
Questions of religious sciences[15h] (1 credits)1q (in French) | ||||
This course will be followed in the 1st or2nd year. |
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The students who do not take or pass the oral expression test in English will take the following course : |
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ANGL2461 |
Anglais - expression orale pour les mathématiciens[30h] (2 credits)2q | ||||
1. Specific programme for the classical orientation |
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A. Compulsory courses |
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Besides the common courses, the students will follow the below-listed compulsory courses : |
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MATH2112 |
A préciser (in French) | ||||
MATH2120 |
A préciser (in French) | ||||
INMA2325 |
A préciser (in French) | ||||
PHYS2111 |
Introduction to non-linear dynamics[30h+22.5h] (4.5 credits)2q (in French) | ||||
B.Options |
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In addition, the students will take courses from the following list, for a total of at least 16 ECTS. |
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1. Algebra - Geometry - Logic |
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MATH2121 | |||||
MATH2391 |
Theory of categories (First part)[22.5h] (2.5 credits)2q (in French) |
Francis Borceux, Enrico Vitale (coord.) |
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MATH2392 |
Theory of categories (Second part)[22.5h] (2.5 credits)2q (in French) |
Francis Borceux, Enrico Vitale (coord.) |
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MATH2450 |
Mathematical logic[45h] (4.5 credits)1+2q (in French) | ||||
MATH2130 |
N. |
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2 Analysis - Mechanics |
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MATH2401 |
N. |
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MATH2460 |
A préciser (in French) | ||||
3. Physics |
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PHYS2121 |
A préciser (in French) | ||||
PHYS2122 |
Theoretical and mathematical physics II[22.5h+15h] (3 credits) |
N. |
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PHYS2131 |
Sperical astronomy and mathematical astronomy[22.5h+15h] (3 credits)1q (in French) | ||||
PHYS2140 |
Internal geophysics[22.5h+15h] (3 credits)1q (in French) | ||||
PHYS2143 |
A préciser (in French) | ||||
The Mathematics Department can authorise the registration of another course or seminar of the Physics "licence" on the student's programme. |
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4. Probability- Statistics - Operational Research |
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INMA2471 |
Optimization models and methods[30h+22.5h] (5 credits) | ||||
MATH2440 |
Statistical analysis[30h+22.5h] (5 credits)2q (in French) | ||||
STAT2416 |
Multivariate probabilities ans statistics[10h+5h] (2.5 credits) (in French) | ||||
5. Numerical Analysis |
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INMA2380 |
Matrix theory[30h+22.5h] (5 credits)2q (in French) | ||||
INMA1170 |
Numerical analysis[22.5h+30h] (5 credits)1q (in French) | ||||
6. Computer Studies |
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INGI2101 |
A préciser (in French) | ||||
LINF2121 |
A préciser (in French) | ||||
LINF2125 |
Projet de programmation : application de gestion[0h+60h] (6 credits) | ||||
2. Specific programme for the Statistics orientation |
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A. Compulsory courses |
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Besides the courses common to the three orientations, the students will follow the compulsory courses listed below : |
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MATH2440 |
Statistical analysis[30h+22.5h] (5 credits)2q (in French) | ||||
INMA2380 |
Matrix theory[30h+22.5h] (5 credits)2q (in French) | ||||
INMA2471 |
Optimization models and methods[30h+22.5h] (5 credits) | ||||
PHYS2111 |
Introduction to non-linear dynamics[30h+22.5h] (4.5 credits)2q (in French) | ||||
STAT2411 |
Data Analysis[22.5h+7.5h] (5 credits)1q (in French) |
Isabelle De Macq (supplée Léopold Simar), Léopold Simar |
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STAT2412 |
Linear models[22.5h+7.5h] (5 credits)2q (in French) | ||||
STAT2416 |
Multivariate probabilities ans statistics[10h+5h] (2.5 credits) (in French) | ||||
STAT2430 |
Statistical computing[20h+20h] (7 credits)1q (in French) | ||||
3. Specific programme for the Mathematical Economics orientation |
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Besides the courses common to the three orientations, the students will follow the compulsory courses listed below : |
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PHYS2111 |
Introduction to non-linear dynamics[30h+22.5h] (4.5 credits)2q (in French) | ||||
MATH2440 |
Statistical analysis[30h+22.5h] (5 credits)2q (in French) | ||||
ECON2115 |
Micro-economics[60h+30h] (12 credits) (in French) | ||||
INMA2325 |
A préciser (in French) | ||||
ECON2125 |
Macro-economics[60h+30h] (12 credits)1+2q (in French) | ||||
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The students must present a thesis (MATH 2999). The choice of a thesis director must be approved by the Mathematics Departement by the third week of the first quadrimester of the second year, at the latest. The preparation of the thesis is equivalent to about 25 credits. The thesis readers are appointed by the Mathematics Departement by the beginning of the 2nd quadrimester of the 2nd year, at the latest. The list of thesis readers will be communicated to the jury secretary. |
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A. Core courses |
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Philosophical teachings : |
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SC2001 |
Introduction to contemporary philosophy[30h] (2 credits)2q (in French) | ||||
or |
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SC2220 |
Philosophy of science[30h] (2 credits)2q (in French) | ||||
MATH2190 |
Mathematical methodology[30h] (3 credits)1q (in French) | ||||
MATH2900 |
Mathematics Seminar[30h] (3 credits)1+2q (in English) | ||||
This seminar is organised in the context of the "Language plan". |
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SC2140 |
Questions of religious sciences[15h] (1 credits)1q (in French) | ||||
This course will be followed in the 1st or 2nd year, according to choice.. |
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B. Options |
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SC2002 |
Elements of mathematics and physics history[30h] (4.5 credits)1q (in French) | ||||
1. Algebra - Geometry - Logic |
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MATH2230 |
Algebraical topology[45h] (5 credits)1q (in French) | ||||
MATH2380 |
Number theory[30h] (3 credits)1q (in French) | ||||
MATH2350 |
Cryptography[22.5h] (2.5 credits)2q (in French) | ||||
MATH2220 |
Greater geometry[30h] (3 credits)1q (in French) |
N. |
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MATH2450 |
Mathematical logic[45h] (4.5 credits)1+2q (in French) | ||||
MATH2121 | |||||
MATH2130 |
N. |
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MATH2391 |
Theory of categories (First part)[22.5h] (2.5 credits)2q (in French) |
Francis Borceux, Enrico Vitale (coord.) |
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MATH2392 |
Theory of categories (Second part)[22.5h] (2.5 credits)2q (in French) |
Francis Borceux, Enrico Vitale (coord.) |
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MATH2395 |
Discrete mathematics - combinatorial strucutres[30h] (3 credits)2q (in French) | ||||
2. Analysis - Mechanics |
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MATH2200 |
Infinitesimal analysis (complements)[45h] (5 credits)2q (in French) | ||||
MATH2401 |
N. |
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MATH2410 |
Differential topology[30h] (3 credits)1q (in French) | ||||
MATH2420 |
Complex analytic functions[30h] (3 credits)1q (in French) | ||||
MATH2421 |
Convex analysis and calculation of variations[30h] (3 credits)1q (in French) | ||||
MATH2490 |
??? ordinary or partial differential equations[45h] (4.5 credits)1q (in French) | ||||
INMA2335 |
A préciser (in French) | ||||
INMA2345 |
Differential Equations : boundary value problems[30h] (3 credits)2q (in French) | ||||
3. Physics |
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PHYS2140 |
Internal geophysics[22.5h+15h] (3 credits)1q (in French) | ||||
PHYS2143 |
A préciser (in French) | ||||
PHYS2144 |
Universe models[15h] (1.5 credits)2q (in French) | ||||
PHYS2290 |
A préciser (in French) | ||||
4. Probability- Statistics - Operational research |
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MATH2370 |
Theory of games[22.5h] (2 credits)1q (in French) | ||||
MATH2360 |
Stochastic processes (statistics)[30h] (3.5 credits)1q (in French) | ||||
MATH2372 |
Stochastic processes[30h] (3 credits)1q (in French) | ||||
MATH2440 |
Statistical analysis[30h+22.5h] (5 credits)2q (in French) | ||||
INMA2450 |
Combinatorial optimization[30h+15h] (4 credits)1q (in French) | ||||
INMA2460 |
Optimization : Nonlinear programming[30h+15h] (4 credits)2q (in French) | ||||
INMA2470 |
Discrete stochastic models[30h+22.5h] (5 credits)1q (in French) | ||||
STAT2411 |
Data Analysis[22.5h+7.5h] (5 credits)1q (in French) |
Isabelle De Macq (supplée Léopold Simar), Léopold Simar |
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STAT2412 |
Linear models[22.5h+7.5h] (5 credits)2q (in French) | ||||
STAT2416 |
Multivariate probabilities ans statistics[10h+5h] (2.5 credits) (in French) | ||||
5. Numerical Analysis - Computer Studies |
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MATH2830 |
Numerical analysis seminar[30h] (2 credits)1q (in French) | ||||
INMA2710 |
Numerical algorithms[30h+15h] (4 credits)1q (in French) | ||||
INGI2123 |
A préciser (in French) | ||||
INGI2131 |
A préciser (in French) | ||||
INGI2132 |
Languages and translators[30h+30h] (5 credits) |
Baudouin Le Charlier (coord.), Peter Van Roy |
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SINF1252 |
Introduction to computer systems[30h+30h] (5 credits)2q (in French) | ||||
MATH2180 |
Numerical analysis II[45h] (4.5 credits)1+2q (in French) | ||||
Specific programme for the classical orientation |
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Besides the core courses, the students will take a minimum of 27 credits from the list below, spread over two or three of the five course titles. The activities chosen under any course heading may not surpass 20 credits. A seminar will be subject to examination or a graded piece of work. |
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The Mathematics Department may authorise the registration of a course or seminar not featuring on the list below on the minimal programme of the student, equivalent to 30 hours ; this course will be of a mathematical level analogous to that of those courses. The Mathematics Department may also authorise the registering of a course or seminar chosen from the UCL programmes on the minimal programme of the student. |
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The content of the MATH2392 and MATH2450 courses changes each year. These courses feature on the programme of the first and second year. They may be taken as options both in the first and the second year of the programme. |
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Specific programme for the Statistics orientation |
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A. Compulsory courses |
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Besides the common courses, the students will take the following compulsory courses : |
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MATH2360 |
Stochastic processes (statistics)[30h] (3.5 credits)1q (in French) | ||||
STAT2410 |
Discrete data analysis.[22.5h+7.5h] (5 credits)2q (in French) | ||||
STAT2413 |
Non parametric statistics[22.5h+7.5h] (5 credits)1q (in French) | ||||
STAT2414 |
Times series[22.5h+7.5h] (5 credits)1q (in French) | ||||
B. Free-choice courses |
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7 credits, from among : |
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ACTU2111 |
Non life Insurance I[30h+15h] (4.5 credits)1q (in French) |
Antoine Delwarde (supplée Michel Denuit), Antoine Delwarde (supplée Michel Denuit), Michel Denuit |
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INMA2470 |
Discrete stochastic models[30h+22.5h] (5 credits)1q (in French) | ||||
MATH2372 |
Stochastic processes[30h] (3 credits)1q (in French) | ||||
STAT2415 |
Introduction to Bayesian statistics.[15h] (2.5 credits)2q (in French) |
N. |
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STAT2510 |
Statistical quality control.[15h] (2.5 credits)2q (in French) | ||||
STAT2520 |
Design of experiment.[22.5h+7.5h] (5 credits)2q (in French) | ||||
STAT2530 |
Statistics in clinical trials.[22.5h+7.5h] (5 credits)2q (in French) | ||||
STAT2540 |
Survey and Sampling[15h] (2.5 credits)2q (in French) | ||||
STAT2550 |
Data Mining[15h+15h] (5 credits)2q (in French) | ||||
C. Options |
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The minimum option is for 6 credits, to be chosen from one or two of the four following titles : |
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1. Algebra, Geometry - Logic |
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2.Analysis - Mechanics |
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3.Physics |
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5. Numerical Analysis - Computer Studies |
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Specifc programme for the Mathematical Economics orientation |
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A. Compulsory courses |
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Besides the common courses, the students will take the following compulsory courses : |
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MATH2421 |
Convex analysis and calculation of variations[30h] (3 credits)1q (in French) | ||||
ECON2135 |
Econometrics: methods and applications[45h+45h] (12 credits) (in French) | ||||
ECON2238 |
Financial economics[30h] (4 credits)1q (in French) | ||||
ECON2243 |
Game and Information Theory[30h] (4 credits)1q (in French) | ||||
B. Free-choice courses |
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One course to be chosen from among : |
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ECON2244 |
General Equilibrium Theory[30h] (4 credits)1q (in French) | ||||
ECON2245 |
Econometrics[30h+15h] (4 credits)2q (in French) | ||||
ECON2247 |
Growth and Development[30h] (4 credits)2q (in French) | ||||
MATH2360 |
Stochastic processes (statistics)[30h] (3.5 credits)1q (in French) | ||||
MATH2372 |
Stochastic processes[30h] (3 credits)1q (in French) | ||||
C. Options |
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The minimum option is for 6 credits, to be chosen from one or two of the four following courses : |
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1.Algebra - Geometry - Logic |
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2. Analysis - Mechanics |
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3. Physics |
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5. Numerical Analysis - Computer Studies |
The three orientations may be prolonged by third study cycle (masters) programmes, extended study diplomas and PhDs, either in the same speciality or in a complemetary speciality. For example : |
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The "licence" diploma holders in Mathematical Sciences from the Statistics orientation may, in addition, obtain the DES in Statistics in one year instead of two. |
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The "licence" diploma holders in Mathematical Sciences who have added a certain number of Computer Studies courses to their programme, are entitled access to the second year of the "licence" programme in Computer Studies (orientation : General Computer Studies) in line with certain procedures still to be specified (please address the secretary's office of the MATH Department or the programme manager for the "licence" in Computer Studies). |