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2025-2026 / Master

Mathematics, research focus

120 crédits
Master in mathematics, research focus
S2AMAT01

Block view

  •  
  • Organization
  • Theory
  • Practical
  • Others
  • Credits

Block 1

Core curriculum compulsory course

CodeDetailsOrganizationTheoryPracticalOthersCredits
Preparation for the final thesis
Emilie Charlier, Collégialité
TA---4
Notice : this course can be taken either in block 1 or block 2.

Common core courses

En accord avec le Jury, choisir des cours non déjà suivis pour un total de 56 crédits dans les listes ci-dessous, un minimum de 44 crédits de la liste Mathématique devant être acquis sur l'ensemble du cycle :

CodeDetailsOrganizationTheoryPracticalOthersCredits

Mathematics

[...] at least 44 credits from the courses of Mathematics-

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.

Other courses

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

Block 2

Core curriculum compulsory course

CodeDetailsOrganizationTheoryPracticalOthersCredits
Final thesis
Emilie Charlier, Collégialité
TA---18

Common core courses

En accord avec le Jury, choisir des cours non déjà suivis pour un total de 12 crédits dans les listes ci-dessous, un minimum de 44 crédits de la liste Mathématique devant être acquis sur l'ensemble du cycle :

CodeDetailsOrganizationTheoryPracticalOthersCredits

Mathematics

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

Other disciplines

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

[...] The course programme at the University of Liège or another institution-

Focus optional courses

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

CodeDetailsOrganizationTheoryPracticalOthersCredits
[...] courses for a total of 30 credits30

Bloc d'aménagement du programme de l'année

Bridging courses Master in mathematics (120 credits)

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

Mathematics

CodeDetailsOrganizationTheoryPracticalOthersCredits

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

CodeDetailsOrganizationTheoryPracticalOthersCredits
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