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2025-2026 / Master

Mathematics, research focus

120 crédits
Master in mathematics, research focus
S2AMAT01

Cycle view

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

Core curriculum compulsory courses

B1
4Cr
B2
18Cr
CodeDetailsBlocOrganizationTheoryPracticalOthersCredits
Preparation for the final thesis
Emilie Charlier, Collégialité
B1TA---4
Notice : this course can be taken either in block 1 or block 2.
Final thesis
Emilie Charlier, Collégialité
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

Theory of distributions (Odd years, organized in 2025-2026) -Q12515-4
Complex analysis -Q13030-6
Complements to complex analysis - [20h Monitored workshops] (Odd years, organized in 2025-2026)
Prerequisite
MATH0257-2
Analyse complexe
Corequisite
MATH0074-1
Théorie des distributions
-Q23010[+]8
Functional analysis - [20h Monitored workshops] -Q13010[+]8
Functional spaces and representational families - [20h Monitored workshops] (Even years, not organized in 2025-2026) -Q13010[+]8
Functional spaces relating to measurement theory - [20h Monitored workshops] (Even years, not organized in 2025-2026) -Q23010[+]8
Measure Theory - [20h Monitored workshops] (Odd years, organized in 2025-2026) -Q13010[+]8
Research problems in analysis (english language) - [20h Monitored workshops] -TA3010[+]10

Discrete mathematics

Discrete mathematics (Even years, not organized in 2025-2026) -Q13020-8
Discrete mathematics project (Even years, not organized in 2025-2026)
Corequisite
MATH0083-1
Théorie ergodique
MATH0075-1
Mathématiques discrètes
-TA---4
Ergodic theory (Even years, not organized in 2025-2026) -Q13020-8
Algorithmics and computability (Odd years, organized in 2025-2026) -Q13020-8
Combinatorics on words (english language) (Odd years, organized in 2025-2026) -Q13020-8
Project on combinations (Odd years, organized in 2025-2026)
Corequisite
MATH0470-1
Combinatorics on words
INFO0212-2
Algorithmique et calculabilité
-TA---4
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

Bayesian statistics - [20h Monitored workshops] (Even years, not organized in 2025-2026) -Q23010[+]8
Non-parametric statistics - [20h Monitored workshops] (Even years, not organized in 2025-2026) -Q13010[+]8
Monte Carlo methods in statistics (english language) - [40h Projet] (Even years, not organized in 2025-2026) -Q22412[+]8
Stochastic analysis - [20h Projet] (Even years, not organized in 2025-2026) -Q23010[+]8
Stochastic process - [20h Projet] (Odd years, organized in 2025-2026) -Q23010[+]8
Practice of statistical consultancy - [20h Monitored workshops] (Odd years, organized in 2025-2026)
Corequisite
STAT0082-1
Statistique multivariée
MATH2022-1
Monte Carlo methods in statistics
-Q220-[+]4
Multivariate statistics - [20h Monitored workshops] (Odd years, organized in 2025-2026)
Corequisite
MATH2021-1
High-dimensional statistics
-Q13010[+]8
Business Analytics (english language) -Q230--5
Introduction to machine learning (english language) - [40h Projet] -Q1305[+]8
Research problems in probability and statistics (english language) - [20h Monitored workshops] -TA3010[+]10

Other fields

Mathematical Logic and Set Theory - [20h Monitored workshops] (Odd years, organized in 2025-2026) -Q23010[+]8
General topology - [10h Monitored workshops] -Q23020[+]6
Algebraic Topology - [20h Monitored workshops] (Even years, not organized in 2025-2026) -Q23010[+]8
Differential geometry II - [20h Monitored workshops] (Even years, not organized in 2025-2026) -Q13010[+]8
Lie algebra - [20h Monitored workshops] -Q23010[+]8
History of mathematics, Part 1: History of mathematics -Q22520-4

Other disciplines

CodeDetailsBlocOrganizationTheoryPracticalOthersCredits
Internship in a company - [120h Projet]
Collégialité, Michel Rigo
-TA--[+]10
Digital creation in sciences - [30h Projet] -TA10-[+]4

Computer science

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

Astrophysics and astronomy

Astrophysics and geophysics -Q13030-8
General relativity (english language) -Q13010-4
Stellar structure and evolution I (english language) -Q135--4
Stellar structure and evolution II (english language) -Q22020-4

Finance and management

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

Physics

Statistical physics -Q23030-8
Complement of physical statistics - [20h Monitored workshops] -Q23010[+]8
Quantum physics I -Q13525-8
Quantum physics II -Q22010-4

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

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.-