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The Master in Mathematics (60 credits) is clearly different from the 120 credit Master in Mathematics ; although it only takes a year of study, it is inspired by the same objectives, but aims in a more modest way to build on and refine the training in the bachelor’s degree. It is designed to provide general training of a high quality in important areas of mathematics.

The programme comprises core subjects of 30 credits and optional subjects (30 credits).

Core courses

The only university training directly accessible from the 60 credit Master is teacher training (30 credits). It is also possible, in one year, to gain the 120 credit Master in Mathematics. This gives access to doctorates and Advanced Masters. Students’ attention is drawn to the fact that this progression will require the submission of two dissertations and may require up to 15 credits for additional courses.

University Bachelors
Diploma	Special Requirements	Access	Remarks
UCL Bachelors
Intitulé du programme appelé par le code		Direct access
Bachelor in Physics [180.0]	Si l'étudiant a suivi la Minor in Mathematics [30.0]	Direct access
Bachelor in Engineering [180.0]	Si l'étudiant a suivi la Minor in Mathematics [30.0] ou s'il a suivi le programme de majeure en mathématiques appliquées	Direct access
Belgian Bachelors of the French speaking Community
Intitulé du programme appelé par le code		Direct access
Bachelier en sciences de l'ingénieur - orientation ingénieur civil		Access with additional training
Belgian Bachelors of the Dutch speaking Community
Intitulé du programme appelé par le code		Direct access
Foreign Bachelors
Intitulé du programme appelé par le code		Direct access
Non university Bachelors
Diploma		Access	Remarks
> Find out more about links to the university

Holders of a 2nd cycle University degree
Diploma	Special Requirements	Access	Remarks
"Licenciés"

Intitulé du programme appelé par le code		Direct access
Masters

Intitulé du programme appelé par le code		Direct access
Holders of a non-University 2nd cycle degree
Diploma		Access	Remarks
> Find out more about links to the university

Adults taking up their university training

> See the website www.uclouvain.be/vae

Personalized access

Reminder : all Masters (apart from Advanced Masters) are also accessible on file.

Admission and Enrolment Procedures for general registration

See the general admission requirements

The courses enable students to acquire mathematical tools. They will mostly be accompanied by work which forms the main part of the assessment. Individual work, group work and work in the library will be encouraged. The ‘research courses’ are directly linked to the most advanced research areas in the Department.

Students will mainly be assessed on the basis of individual work (e.g. reading, consultation of databases and bibliographic references, writing monographs and reports, presentation of seminars, dissertation and work placement). Where necessary, students will also be assessed on how much they have learned from lectures. As far as possible, there will be continuous assessment, including regular ‘open book examinations’. Certain activities will not be given a precise mark but will be officially certified. Assessment of the dissertation is in two stages : a ‘progress report’ at the end of the first year of the Master and the final presentation.

Legend

	Mandatory		Optional
	Courses not taught this academic year		Periodic courses not taught this academic year
	Periodic courses taught this academic year		Two year courses

Click on the course code to see detailed informations (objectives, methods, evaluation...)

Year

1

LMAT2998

Mémoire (in French)

N.

18credits

x

Philosophy (2credits)
2 credits to choose between

LSC2001

Introduction to contemporary philosophy (in French)

Gilbert Gérard

30h

2credits

2q

x

LSC2220

Philosophy of science (in French)

Michel Ghins

30h

2credits

2q

x

LFILO2003E

Questions d'éthique dans les sciences et les tecniques (partie séminaire) (in French)

N.

2credits

x

2 optional courses to choose between (10credits)
Avec l'accord du responsable du Master, les étudiants peuvent également prendre comme cours au choix, des cours figurant dans la liste des cours au choix du Master 120.

LMAT2110

Differential geometry I (in French)

Luc Haine

30h + 30h

5credits

1q

x

LMAT2120

Galois theory and groups representtions (in French)

Pierre-Emmanuel Caprace, Jean-Pierre Tignol

45h + 15h

5credits

2q

x

LMAT2130

Partial differential equations : Poisson and Laplace equations (in French)

Michel Willem

30h + 30h

5credits

1q

x

LMAT2440

Number theory (in French)

Pierre-Emmanuel Caprace

30h + 15h

5credits

1q

x

LPHY2111

Introduction à la dynamique non linéaire (in French)

Jean Bricmont

30h + 15h

5credits

1q

x

Optional courses (30credits)
To choose between the optional courses (not yet taken in the core courses) and the following courses

LMAT2140

Algebraic topology (in French)

Yves Félix, Pascal Lambrechts

45h

5credits

2q

x

LMAT2150

Category theory I and foundations of mathematics (in French)

Marino Gran, Enrico Vitale

45h

5credits

2q

x

LMAT2410

Partial differential equation : heat equation, brownian moves and numerical aspects (in French)

Alphonse Magnus

30h + 15h

5credits

2q

x

LMAT2420

Differential geometry II (in French)

Tom Claeys

30h + 15h

5credits

1q

x

LMAT2430

Differential topology (in French)

Gery Debongnie

30h + 15h

5credits

x

LMAT2450

Cryptography

Olivier Pereira

30h

5credits

1q

x

LMAT2460

Finite mathematics and combinatorial structures (in French)

Mélanie Raczek

30h

5credits

1q

x

LINMA2380

Matrix theory (in French)

Paul Van Dooren

30h + 22.5h

5credits

2q

x

LINMA1170

Numerical analysis

Pierre-Antoine Absil, Paul Van Dooren (coord.)

30h + 22.5h

5credits

1q

x

LINMA2345

Differential equations (in French)

Abdou Kouider Ben-Naoum, Jean Van Schaftingen (coord.)

30h + 22.5h

5credits

2q

x

General presentation of the programme