2024-2025 / Master

Mathematics, research focus

120 crédits

Cycle view

  • Bloc
  • Organization
  • Theory
  • Practical
  • Others
  • Credits

Focus optional courses

B2
30Cr

In agreement with the Jury, choose complementary courses not already selected for a total of 30 credits from the study programmes of the ULiege.

B2
30Cr
CodeDetailsBlocOrganizationTheoryPracticalOthersCredits
[...] courses for a total of 30 credits30

Core curriculum compulsory courses

B1
4Cr
B2
18Cr
CodeDetailsBlocOrganizationTheoryPracticalOthersCredits
MATH0112-1
Preparation for the final thesis
Collégialité, Jean-Pierre Schneiders
B1TA---4
Notice : this course can be taken either in block 1 or block 2.
SMEM0012-1
Final thesis
Collégialité, Jean-Pierre Schneiders
B2TA---18

Common core courses

B1
56Cr
B2
12Cr

In agreement with the Jury, choose courses not already taken for a total of 68 credits from the lists below, a minimum of 44 credits from the Mathematical list to be acquired throughout the cycle:

B1
56Cr
B2
12Cr
CodeDetailsBlocOrganizationTheoryPracticalOthersCredits

Mathematics

[...] at least 44 credits from the courses of Mathematics-
[...] the remainder of the courses not chosen from the 'Mathematics' list-

Other disciplines

[...] maximum 12 credits from the courses of other disciplines (B1)-
Notice : compatibility of the timetable with the courses in the Mathematics list cannot be guaranteed.
[...] the remainder of the courses not chosen from the 'Other subjects' list-

Other courses

[...] a maximum of 10 credits in the curriculum of the University of Liège or another institution (B1)-
[...] The course programme at the University of Liège or another institution-

Mathematics

CodeDetailsBlocOrganizationTheoryPracticalOthersCredits

Mathematical analysis

MATH0074-1
Theory of distributions (Odd years, not organized in 2024-2025) -Q22515-4
MATH0257-2
Complex analysis -Q13030-6
MATH0220-2
Complements to complex analysis - [20h Monitored workshops] (Odd years, not organized in 2024-2025)
Prerequisite
MATH0257-2
Analyse complexe
Corequisite
MATH0074-1
Théorie des distributions
-Q23010[+]8
MATH0463-1
Functional analysis - [20h Monitored workshops] (Even years, organized in 2024-2025) -Q13010[+]8
MATH0512-1
Functional spaces and representational families - [20h Monitored workshops] (Even years, organized in 2024-2025) -Q13010[+]8
MATH0513-1
Functional spaces relating to measurement theory - [20h Monitored workshops] (Even years, organized in 2024-2025) -Q23010[+]8
MATH0209-3
Measure Theory - [20h Monitored workshops] (Odd years, not organized in 2024-2025) -Q13010[+]8
MATH0082-1
Research problems in analysis (english language) - [20h Monitored workshops] -TA3010[+]10

Discrete mathematics

MATH0075-1
Discrete mathematics (Even years, organized in 2024-2025) -Q13020-8
MATH0076-1
Discrete mathematics project (Even years, organized in 2024-2025)
Corequisite
MATH0083-1
Théorie ergodique
MATH0075-1
Mathématiques discrètes
-TA---4
MATH0083-1
Ergodic theory (Even years, organized in 2024-2025) -Q13020-8
INFO0212-2
Algorithmics and computability (Odd years, not organized in 2024-2025) -Q13020-8
MATH0470-1
Combinatorics on words (english language) (Odd years, not organized in 2024-2025) -Q13020-8
MATH0077-1
Project on combinations (Odd years, not organized in 2024-2025)
Corequisite
MATH0470-1
Combinatorics on words
INFO0212-2
Algorithmique et calculabilité
-TA---4
MATH0078-1
Research problems in discrete mathematics - [20h Monitored workshops]
Corequisite
MATH0076-1
Projet de mathématiques discrètes
MATH0077-1
Projet de combinatoire
-TA3010[+]10

Probability and statistics

STAT0725-2
Bayesian statistics - [20h Monitored workshops] (Even years, organized in 2024-2025) -Q23010[+]8
STAT0727-2
Non-parametric statistics - [20h Monitored workshops] (Even years, organized in 2024-2025) -Q13010[+]8
MATH2022-1
Monte Carlo methods in statistics (english language) - [40h Projet] (Even years, organized in 2024-2025) -Q22412[+]8
MATH0514-1
Stochastic analysis - [20h Projet] (Even years, organized in 2024-2025) -Q23010[+]8
MATH0079-1
Stochastic process - [20h Projet] (Odd years, not organized in 2024-2025) -Q23010[+]8
STAT0078-1
Practice of statistical consultancy - [20h Monitored workshops] (Odd years, not organized in 2024-2025)
Corequisite
STAT0082-1
Statistique multivariée
MATH2022-1
Monte Carlo methods in statistics
-Q220-[+]4
STAT0082-1
Multivariate statistics - [20h Monitored workshops] (Odd years, not organized in 2024-2025)
Corequisite
MATH2021-1
High-dimensional statistics
-Q13010[+]8
INFO2048-1
Business Analytics (english language) -Q230--5
ELEN0062-1
Introduction to machine learning (english language) - [40h Projet] -Q1305[+]8
MATH0084-1
Research problems in probability and statistics (english language) - [20h Monitored workshops] -TA3010[+]10

Other fields

MATH0017-3
Mathematical Logic and Set Theory - [20h Monitored workshops] -Q23010[+]8
MATH0212-2
General topology - [10h Monitored workshops] -Q23020[+]6
MATH0465-1
Algebraic Topology - [20h Monitored workshops] (Even years, organized in 2024-2025) -Q23010[+]8
MATH0464-1
Differential geometry II - [20h Monitored workshops] (Even years, organized in 2024-2025) -Q13010[+]8
MATH0489-1
Lie algebra - [20h Monitored workshops] -Q23010[+]8
MATH2483-1
History of mathematics -Q22520-4
PHYS0999-1
Digital creation in sciences - [30h Projet] -TA10-[+]4

Other disciplines

CodeDetailsBlocOrganizationTheoryPracticalOthersCredits
SSTG2037-1
Internship in a company - [120h Projet]
Collégialité, Michel Rigo
-TA--[+]10

Computer science

INFO2009-2
Introduction to computer science -Q12414-4
INFO0061-4
Computers organization -Q21515-3
INFO0009-2
Database (general organisation) - [25h Projet] -Q22626[+]6
INFO0902-1
Data structures and algorithms - [40h Projet] -Q22620[+]6
INFO0027-2
Programming techniques (english language) -Q2   6
Algorithmics - [40h Projet]   1414[+] 
Software patterns - [30h Projet]   1010[+] 
INFO0054-1
Functional programming - [20h Projet] -Q12424[+]6
INFO0062-1
Object-oriented programming (english language) - [20h Projet] -Q22520[+]5
INFO0085-1
Compilers (english language) - [75h Projet] -Q225-[+]6
MATH0462-1
Discrete optimization (english language) - [25h Projet] -Q23020[+]6
INFO8006-1
Introduction to artificial intelligence (english language) - [45h Projet] -Q12520[+]6
MATH0461-2
Introduction to numerical optimization (english language) - [25h Projet] -Q13020[+]6

Astrophysics and astronomy

ASTR0204-2
Astrophysics and geophysics -Q13030-8
SPAT0012-1
General relativity (english language) -Q13010-4
SPAT0044-1
Stellar structure and evolution I (english language) -Q135--4
SPAT0045-1
Stellar structure and evolution II (english language) -Q22020-4

Finance and management

GEST0832-4
Financial Markets -Q24015-5
FINA0053-1
Investments and Portfolio Management (english language)
Corequisite
GEST0832-4
Marchés financiers
-Q230--5
MQGE0001-6
Operations Research (english language) -Q145--5
LOGI0010-1
Supply Chain Management (english language)
Corequisite
MQGE0001-6
Operations Research
-Q245--5
MQGE0007-1
Financial Mathematics and Stochastic Calculus (english language)
Corequisite
GEST0832-4
Marchés financiers
-Q230--5
LOGI0012-1
Logistics and Transportation (english language) -Q230--5
LOGI0013-1
Operation Planning (english language)
Corequisite
LOGI0010-1
Supply Chain Management
-Q230--5
FINA0052-1
Financial Derivatives (english language)
Corequisite
GEST0832-4
Marchés financiers
-Q230--5
FINA0064-1
Financial Risk Modeling (english language)
Corequisite
MQGE0007-1
Financial Mathematics and Stochastic Calculus
FINA0053-1
Investments and Portfolio Management
-Q130--5
FINA0051-1
Banking and Insurance (english language)
Corequisite
GEST0832-4
Marchés financiers
-Q230--5

Physics

PHYS0212-2
Statistical physics -Q23030-8
PHYS0205-2
Complement of physical statistics - [20h Monitored workshops] -Q23010[+]8
PHYS3033-1
Quantum physics I -Q13525-8
PHYS3034-1
Quantum physics II -Q22010-4

Bridging courses Master in mathematics (120 credits)

CodeDetailsBlocOrganizationTheoryPracticalOthersCredits
[...] The update course, worth a maximum of 60 credits, will be determined based on students¿ prior training.-