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Study programmes 2012-2013Last update : 24/05/2013

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Master in Mathematics
Th
Pr
Au
Credits

One-year master program (60 ECTS)

Access conditions to the Master 60 (http://www.ulg.ac.be/cms/c_46076/master-en-sciences-mathematiques)

Compulsory course

SMEM0011-1

Final thesis - Collégialité
-
-
-
16

Optional courses

With the approval of the Board of Studies in Mathematics, choose courses totaling 32 ECTS from the first list below :

First list

MATH0463-1

Functional Analysis I - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8

MATH0209-3

Measure Theory - Samuel Nicolay - [20h Mon. WS]
30
10
[+]
8

INFO0213-2

Automata and formal languages theory - Michel Rigo - [20h Mon. WS]
30
10
[+]
8

MATH0220-2

Functions of complex variables - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8

MATH0464-1

Differential geometry II - Pierre Lecomte - [20h Mon. WS]
30
10
[+]
8

MATH0017-3

Mathematical Logic and Set Theory - Georges Hansoul - [20h Mon. WS]
30
10
[+]
8

MATH0465-1

Algebraic Topology - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8

Choose one module (12 ECTS) from :

Module : Mathematics

MATH0483-2

History of mathematics - Georges Hansoul - [20h Mon. WS]
20
-
[+]
4
[...]With the approval of the Board of Studies in Mathematics, choose one (several) course(s) totaling 8 ECTS from the first list below or from the second list below and, possibly, from the courses programme of other masters-

The second list

STAT0723-2

Statistical linear models - N... - Suppl : Catherine Timmermans - [20h Mon. WS]
30
10
[+]
8

STAT0201-3

Multivariate statistics - Adelin Albert, Gentiane Haesbroeck - [20h Mon. WS]
30
10
[+]
8

STAT0725-2

Bayesian statistics - Philippe Lambert - [20h Mon. WS]
30
10
[+]
8

INFO0902-1

Data structures and algorithms - Pierre Geurts
30
30
-
8

INFO0054-1

Functional programming - Pascal Gribomont
30
30
-
8

ASTR0201-3

Astronomy - Marc-Antoine Dupret - [20h Mon. WS]
30
10
[+]
8

PHYS0243-2

Quantum Physics I - Thierry Bastin - [20h Mon. WS]
30
10
[+]
8

PHYS0203-2

Statistical physics - Nicolas Vandewalle - [20h Mon. WS]
30
10
[+]
8

SPAT0012-1

General relativity - Yves De Rop
60
-
-
8

SPAT0044-1

Stellar Structure and evolution I - Marc-Antoine Dupret
20
20
-
4

SPAT0045-1

Stellar structure and evolution II - Marc-Antoine Dupret
20
20
-
4

MECA0203-3

Continuum Mechanics - Pierre Dauby - [20h Mon. WS]
30
10
[+]
8

Module : Environmental Management

ENVT0031-2

Society / Environment (epistemology, law, economics and social sciences towards the environment) - François Melard, Marc Mormont
24
12
-
3

ENVT0030-2

Managing the environment (transitional issues, instruments, case studies) - Jean-Marie Hauglustaine, François Melard, Marc Mormont, Catherine Mougenot, Pierre M. Stassart
24
12
-
3

ENVT0034-1

GIS data management - Philippe Andre, Jacques Nicolas, Anne-Claude Romain, Bernard Tychon
12
12
-
2

ENVT0013-3

Assessment tools (impact assessment, LCA) - Alain Hanson, Jacques Nicolas, Nathalie Semal
12
12
-
2

ENVT0848-3

Impacts of human activities on ecosystems and including land use - Célia Joaquim-Justo, Angélique Léonard, Roberto Renzoni, Emmanuël Sérusiaux
20
10
-
2



Notice Students who choose the two courses from the "Environmental Science and Management" module will have direct access to the 2nd year of the Masters in Environmental Science and Management, organised on the Arlon campus. Other students will also have access to the 2nd year of the Masters in Environmental Science and Management, on the condition that they take courses corresponding to these 12 credits in addition to the 60 credits taken during this study year.

Two-Year Master Program (120 ECTS)

Access conditions to the Master 120 (http://www.ulg.ac.be/cms/c_46076/master-en-sciences-mathematiques)

First Year

Compulsory course

MATH0483-2

History of mathematics - Georges Hansoul - [20h Mon. WS]
20
-
[+]
4

Optional courses

With the approval of the Board of Studies in mathematics, choose courses totaling 56 credits from the two lists below, and possibly in the courses programme of other masters :

First list
[...]At least 32 credits from from "Première liste"-

MATH0463-1

Functional Analysis I - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8

MATH0209-3

Measure Theory - Samuel Nicolay - [20h Mon. WS]
30
10
[+]
8

INFO0213-2

Automata and formal languages theory - Michel Rigo - [20h Mon. WS]
30
10
[+]
8

MATH0220-2

Functions of complex variables - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8

MATH0464-1

Differential geometry II - Pierre Lecomte - [20h Mon. WS]
30
10
[+]
8

MATH0017-3

Mathematical Logic and Set Theory - Georges Hansoul - [20h Mon. WS]
30
10
[+]
8

MATH0465-1

Algebraic Topology - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8

The second list
[...]At most 24 credits of courses from "Deuxième liste"-

STAT0723-2

Statistical linear models - N... - Suppl : Catherine Timmermans - [20h Mon. WS]
30
10
[+]
8

STAT0201-3

Multivariate statistics - Adelin Albert, Gentiane Haesbroeck - [20h Mon. WS]
30
10
[+]
8

STAT0725-2

Bayesian statistics - Philippe Lambert - [20h Mon. WS]
30
10
[+]
8

INFO0902-1

Data structures and algorithms - Pierre Geurts
30
30
-
8

INFO0054-1

Functional programming - Pascal Gribomont
30
30
-
8

ASTR0201-3

Astronomy - Marc-Antoine Dupret - [20h Mon. WS]
30
10
[+]
8

PHYS0243-2

Quantum Physics I - Thierry Bastin - [20h Mon. WS]
30
10
[+]
8

PHYS0203-2

Statistical physics - Nicolas Vandewalle - [20h Mon. WS]
30
10
[+]
8

SPAT0012-1

General relativity - Yves De Rop
60
-
-
8

SPAT0044-1

Stellar Structure and evolution I - Marc-Antoine Dupret
20
20
-
4

SPAT0045-1

Stellar structure and evolution II - Marc-Antoine Dupret
20
20
-
4

MECA0203-3

Continuum Mechanics - Pierre Dauby - [20h Mon. WS]
30
10
[+]
8

PHYS0204-3

Complement of quantum Physics 2 - Thierry Bastin - [20h Mon. WS]
30
10
[+]
8

PHYS0205-2

Complement of physical statistics - Nicolas Vandewalle - [20h Mon. WS]
30
10
[+]
8

Programme of courses for other masters degrees
[...]At the most 8 credits of courses of the University of Liege-

Optional free course

AESS0252-1

Introduction to mathematics didactics - Marguerite Gilot
10
10
-
2

Second year

Compulsory course

SMEM0012-1

Final thesis - Collégialité
-
-
-
22

Optional courses

With the approval of the Board of Studies in mathematics, choose course(s) totaling 8 credits from :
[...]the remaining courses not selected in the first list-

MATH0463-1

Functional Analysis I - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8

MATH0209-3

Measure Theory - Samuel Nicolay - [20h Mon. WS]
30
10
[+]
8

INFO0213-2

Automata and formal languages theory - Michel Rigo - [20h Mon. WS]
30
10
[+]
8

MATH0220-2

Functions of complex variables - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8

MATH0464-1

Differential geometry II - Pierre Lecomte - [20h Mon. WS]
30
10
[+]
8

MATH0017-3

Mathematical Logic and Set Theory - Georges Hansoul - [20h Mon. WS]
30
10
[+]
8

MATH0465-1

Algebraic Topology - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
8


[...]the remaining courses not taken on the second list-

STAT0723-2

Statistical linear models - N... - Suppl : Catherine Timmermans - [20h Mon. WS]
30
10
[+]
8

STAT0201-3

Multivariate statistics - Adelin Albert, Gentiane Haesbroeck - [20h Mon. WS]
30
10
[+]
8

STAT0725-2

Bayesian statistics - Philippe Lambert - [20h Mon. WS]
30
10
[+]
8

INFO0902-1

Data structures and algorithms - Pierre Geurts
30
30
-
8

INFO0054-1

Functional programming - Pascal Gribomont
30
30
-
8

ASTR0201-3

Astronomy - Marc-Antoine Dupret - [20h Mon. WS]
30
10
[+]
8

PHYS0243-2

Quantum Physics I - Thierry Bastin - [20h Mon. WS]
30
10
[+]
8

PHYS0203-2

Statistical physics - Nicolas Vandewalle - [20h Mon. WS]
30
10
[+]
8

SPAT0012-1

General relativity - Yves De Rop
60
-
-
8

SPAT0044-1

Stellar Structure and evolution I - Marc-Antoine Dupret
20
20
-
4

SPAT0045-1

Stellar structure and evolution II - Marc-Antoine Dupret
20
20
-
4

MECA0203-3

Continuum Mechanics - Pierre Dauby - [20h Mon. WS]
30
10
[+]
8

PHYS0204-3

Complement of quantum Physics 2 - Thierry Bastin - [20h Mon. WS]
30
10
[+]
8

PHYS0205-2

Complement of physical statistics - Nicolas Vandewalle - [20h Mon. WS]
30
10
[+]
8


[...]The programme of courses for other Masters.-

Choose one of the following focus :

Research Focus

Compulsory courses

MATH0466-1

Seminars - Collégialité - [75h SEM]
-
-
[+]
12

SMEM0037-1

Final thesis complement - Collégialité
-
-
-
8

Optional courses

With the agreement of the council of studies, choose 1 among the following :

MATH0467-1

Functional Analysis II - Françoise Bastin - [20h Mon. WS]
30
10
[+]
10

MATH0468-1

Algebraic Analysis - Jean-Pierre Schneiders - [20h Mon. WS]
30
10
[+]
10

MATH0061-1

Complement of studies in the theory of measurement - Samuel Nicolay - [20h Mon. WS]
30
10
[+]
10

MATH0469-1

Differential geometry III - Pierre Mathonet - [20h Mon. WS]
30
10
[+]
10

MATH0234-2

Boolean Topology and Boolean Algebra - Georges Hansoul - [20h Mon. WS]
30
10
[+]
10

MATH0470-1

Combinatorics on words - Michel Rigo - [20h Mon. WS]
30
10
[+]
10

Teaching focus

Compulsory courses

AESS0246-1

Analysis of scolastic institutions and key-players, educational policies - Jacqueline Beckers
15
-
-
1

AESS0247-1

Views on cultural diversity - Jérôme Jamin
10
-
-
1

AESS0248-1

Elements of sociology of education - Jean-François Guillaume
10
-
-
1

AESS0140-1

Professional ethics and training to neutrality and citizenship - Anne Herla
25
-
-
2

AESS0202-1

General didactics: course and exercises ; observation placements ; reflexive practices - Annick Fagnant - [10h Internship]
30
10
[+]
4

AESS0004-1

Media education - Geneviève Van Cauwenberge
15
-
-
1

AESS0249-1

Interdisciplinary seminar - Annick Fagnant
15
-
-
1

AESS0143-1

Educational Psychology of adolescents and young adults - Annick Fagnant
15
-
-
2

AESS0142-1

Seminar on prevention and management of difficult school situations - Jocelyne Robert
15
-
-
2

AESS1214-1

Special didactics in mathematics : course and exercises (1st part) - Marguerite Gilot
40
-
-
3

AESS1215-1

Special didactics in mathematics : placements (1st part)



3

- Observation placements - Marguerite Gilot - [10h Internship]
-
-
[+]

- Teaching placements - Marguerite Gilot - [20h Internship]
-
-
[+]

- Reflexive practical work - Marguerite Gilot
-
5
-

AESS2214-1

Special didactics in mathematics : course and exercises (2nd part) - Marguerite Gilot
35
-
-
4

AESS2215-1

Special didactics in mathematics : placements (2nd part)



5

- Teaching placements - Marguerite Gilot - [20h Internship]
-
-
[+]

- Reflexive practical work - Marguerite Gilot
-
5
-

- Extra-scholar teaching activities - Marguerite Gilot
-
10
-

Professional focus in management

Compulsory courses

GEST3001-1

People management and organisation - Jocelyne Robert
24
24
-
4

GEST3002-1

Human Resources - Jocelyne Robert
24
-
-
2

GEST3003-1

Competitive strategy in the marketplace (english language) - Michael Ghilissen
16
16
-
3

GEST3004-1

Marketing (operations and management) (english language) - Michael Ghilissen
16
16
-
3

GEST3005-2

Accountancy and Finance - Jacques Berwart
24
24
-
4

GEST3006-1

Operations and supply chain management I (english language) - Yasemin Arda
16
16
-
3

GSTG3001-1

Business plan - Collégialité
-
30
-
4

GSTG0017-1

Functional analysis of a company - Collégialité - [30h Internship]
-
-
[+]
4

Optional courses

With the agreement of the council of studies choose a course among the following :

GEST3010-1

Operations and supply chain management II - Sabine Limbourg
16
16
-
3

GEST3011-2

ICT for Business - Alain Dubois
16
16
-
3

GEST3012-1

Financial and actuarial modelling - Louis Esch
16
16
-
3

Professional focus in computer

Compulsory courses

INFO0062-1

Object-Oriented Programming - Bernard Boigelot
30
30
-
6

INFO0009-1

Introduction to Data Bases - Pierre Wolper
30
30
-
6

Optional courses

With the agreement of the Board of Studies, choose 3 courses from the following :

The courses INFO0902-1 and INFO0054-1 must be taken first.

INFO0902-1

Data structures and algorithms - Pierre Geurts
30
30
-
6

INFO0054-1

Functional programming - Pascal Gribomont
30
30
-
6



If the INFO0902-1 and/or INFO0054-1 courses have already been followed, choose, with the approval of the Board of Studies, 1, 2 or 3 courses from the following :

ELEN0040-1

Digital Electronics - Jacques Destiné
30
30
-
6

INFO0085-1

Compilers - Pierre Geurts
30
30
-
6

INFO0027-2

Programming techniques (english language) - Laurent Mathy
30
30
-
6

MATH0462-1

Discrete optimization - Quentin Louveaux
30
30
-
6

SYST0002-1

Linear systems - Rodolphe Sepulchre
30
30
-
6

INFO0049-1

Knowledge Representation - Pascal Gribomont
30
30
-
6

Professional focus in Statistics

Compulsory course

STAT0727-2

Non-parametric statistics - Cédric Heuchenne - [20h Mon. WS]
30
10
[+]
6

Optional courses

With the agreement of the Board of Studies, choose 3 courses from the following :

Courses STAT0723-2, STAT0201-3 and STAT0725-2 must be taken in priority.

STAT0723-2

Statistical linear models - N... - Suppl : Catherine Timmermans - [20h Mon. WS]
30
10
[+]
8

STAT0201-3

Multivariate statistics - Adelin Albert, Gentiane Haesbroeck - [20h Mon. WS]
30
10
[+]
8

STAT0725-2

Bayesian statistics - Philippe Lambert - [20h Mon. WS]
30
10
[+]
8


If the STAT0723-2 and/or STAT0201-3 courses have already been attended, choose, with the approval of the Board of Studies, 1, 2 or 3 courses from the following :

MATH0065-1

Probability and statistcs 4 - Christophe Croux - [20h Mon. WS]
30
10
[+]
8

MATH0222-3

Introduction to stochastic processes - Gentiane Haesbroeck - [20h Mon. WS]
30
10
[+]
8

ELEN0062-1

Applied Inductive Learning - Pierre Geurts, Louis Wehenkel
30
30
-
8

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