Master of Mathematics (Leuven) (120 ECTS) Master of Science
Students with a degree obtained at an institution of the Flemish Community
Direct
On the basis of the following degrees, or similar degrees, obtained at an institution of the Flemish Community:
- Bachelor in de fysica (Kortrijk, Leuven) (Minor wiskunde, Optie fysica + Minor wiskunde)
- Bachelor in de wiskunde (Kortrijk, Leuven)
Bachelor in de wiskunde, met traject naar Twin Bachelor Fysica en Wiskunde (KULAK)
After a preparatory programme
After a preparatory programme (24 to 36 credits):
Bachelor in de fysica, andere minor dan minor wiskunde
After a preparatory programme (maximum 30 credits):
Bachelor in de informatica, minor wiskunde
After a preparatory programme (maximum 60 credits):
Bachelor in de ingenieurswetenschappen
After an abridged programme
After a shortened bachelor in de wiskunde (maximum 120 credits):
Bachelor or Master in de industriële wetenschappen
Other academic degrees with a mathematical component
Students with a degree not obtained at an institution of the Flemish Community
Students who did not obtain their previous degree(s) at an institution of the Flemish Community should submit an application via the Admissions Office: https://www.kuleuven.be/english/application/.
You can find a list of core documents, which should be submitted with every application, here: https://www.kuleuven.be/english/application/requesteddocuments.
Diploma requirements
Degrees obtained outside the Flemish community will be admitted on individual basis.Language requirements
All applicants must prove their proficiency in English. The accepted English proficiency tests are:- TOEFL iBT: minimum overall score of 94, with minimum subscores of 19 for Reading, 18 for Listening, 19 for Speaking and 21 for Writing
- IELTS Academic test: minimum overall score of 7.0, with minimum subscores of 6.5 for Reading, 6.0 for Listening, 6.0 for Speaking and 6.0 for Writing
- Advanced or Proficiency Cambridge Certificates: minimum score of 185, with at least 176 for reading and 169 for listening, speaking and writing.
The following applicants are exempted from submitting an English proficiency certificate:
- Applicants who have obtained a previous university degree taught in English in Australia, English-speaking Canada, Ireland, New Zealand, the United Kingdom and the United States of America. Their entire programme should have been completed in English.
- Applicants who have obtained a Belgian diploma.
Absolutely no other diplomas will be accepted as evidence even if the applicant has followed an exclusively English-taught programme.
Additional requirements
- An English version (or translation) of the course description for the courses that you deem most relevant as a preparation for the master. For each relevant course, you should provide a brief description of the course objectives, the main topics treated, the workload per course unit and the course materials used. If your university provides these descriptions online or via a syllabus, you can copy-paste these descriptions.
- If the description of the grading system of your home university is not included in the PDF scan of your transcripts of academic records, please provide the grading table, or a document explaining the grading system of your home university.
The following applicants are exempted from submitting the course and grading descriptions:
- Applicants from universities that have an exchange agreement with the Faculty of Science of KU Leuven
- Applicants who have obtained a degree from a university listed in the global top 200 in the most recent edition of THE or QS World University Rankings.
Additional information
The Admissions Board evaluates all applications and has the final say on the admissibility of the student, taking into account the relevant information.
Students with a degree obtained at an institution of the Flemish Community
Direct
On the basis of the following degrees, or similar degrees, obtained at an institution of the Flemish Community:
- Bachelor in de fysica (Kortrijk, Leuven) (Minor wiskunde, Optie fysica + Minor wiskunde)
- Bachelor in de wiskunde (Kortrijk, Leuven)
Bachelor in de wiskunde, met traject naar Twin Bachelor Fysica en Wiskunde (KULAK)
After a preparatory programme
After a preparatory programme (24 to 36 credits):
Bachelor in de fysica, andere minor dan minor wiskunde
After a preparatory programme (maximum 30 credits):
Bachelor in de informatica, minor wiskunde
After a preparatory programme (maximum 60 credits):
Bachelor in de ingenieurswetenschappen
After an abridged programme
After a shortened bachelor in de wiskunde (maximum 120 credits):
Bachelor or Master in de industriële wetenschappen
Other academic degrees with a mathematical component
Students with a degree not obtained at an institution of the Flemish Community
Students who did not obtain their previous degree(s) at an institution of the Flemish Community should submit an application via the Admissions Office: https://www.kuleuven.be/english/application/.
You can find a list of core documents, which should be submitted with every application, here: https://www.kuleuven.be/english/application/requesteddocuments.
Diploma requirements
Degrees obtained outside the Flemish community will be admitted on individual basis.Language requirements
All applicants must prove their proficiency in English. The accepted English proficiency tests are:- TOEFL iBT: minimum overall score of 94, with minimum subscores of 19 for Reading, 18 for Listening, 19 for Speaking and 21 for Writing
- IELTS Academic test: minimum overall score of 7.0, with minimum subscores of 6.5 for Reading, 6.0 for Listening, 6.0 for Speaking and 6.0 for Writing
- Advanced or Proficiency Cambridge Certificates: minimum score of 185, with at least 176 for reading and 169 for listening, speaking and writing.
The following applicants are exempted from submitting an English proficiency certificate:
- Applicants who have obtained a previous university degree taught in English in Australia, English-speaking Canada, Ireland, New Zealand, the United Kingdom and the United States of America. Their entire programme should have been completed in English.
- Applicants who have obtained a Belgian diploma.
Absolutely no other diplomas will be accepted as evidence even if the applicant has followed an exclusively English-taught programme.
Additional requirements
- An English version (or translation) of the course description for the courses that you deem most relevant as a preparation for the master. For each relevant course, you should provide a brief description of the course objectives, the main topics treated, the workload per course unit and the course materials used. If your university provides these descriptions online or via a syllabus, you can copy-paste these descriptions.
- If the description of the grading system of your home university is not included in the PDF scan of your transcripts of academic records, please provide the grading table, or a document explaining the grading system of your home university.
The following applicants are exempted from submitting the course and grading descriptions:
- Applicants from universities that have an exchange agreement with the Faculty of Science of KU Leuven
- Applicants who have obtained a degree from a university listed in the global top 200 in the most recent edition of THE or QS World University Rankings.
Additional information
The Admissions Board evaluates all applications and has the final say on the admissibility of the student, taking into account the relevant information.
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Truncus Communis
This course is compulsory.
6 ECTS Mathematics of the 21st Century G0S01A staff- R.Keppens (coordinator)
- J.Van der Veken
staff
- R.Keppens (coordinator)
- J.Van der Veken
Mathematics of the 21st Century: Lectures (3 ECTS) G0S01a staff Mathematics of the 21st Century: Presentations (3 ECTS) G0S02a staff
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Profiles
You choose one of the two profiles.
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Profile: Pure Mathematics
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Pure Mathematics: Core Courses
You choose at least 5 core courses from the list below or from the list of core courses in pure mathematics of the Dutch variant of the master programme.
6 ECTS Algebraic Geometry I G0A80A staff staff
Algebraic Geometry I (5 ECTS) G0A80a staff staff
Algebraic Geometry I: Exercises (1 ECTS) G0A81a staff staff
6 ECTS Commutative Algebra G0A82A staff- N.
- G.Blanco (substitute)
staff
- N.
- G.Blanco (substitute)
Commutative Algebra (5 ECTS) G0A82a staff- N.
- G.Blanco (substitute)
staff
- N.
- G.Blanco (substitute)
Commutative Algebra: Exercises (1 ECTS) G0A83a staff- N.
- G.Blanco (substitute)
staff
- N.
- G.Blanco (substitute)
6 ECTS Group Theory G0A85A staff staff
Group Theory (5 ECTS) G0A85a staff staff
Group Theory: Exercises (1 ECTS) G0R67a staff staff
6 ECTS Functional Analysis G0B03A staff- N.
- J.Christensen (substitute)
staff
- N.
- J.Christensen (substitute)
Functional Analysis (5 ECTS) G0B03a staff- N.
- J.Christensen (substitute)
staff
- N.
- J.Christensen (substitute)
Functional Analysis: Exercises (1 ECTS) G0B04a staff- N.
- J.Christensen (substitute)
staff
- N.
- J.Christensen (substitute)
6 ECTS Differential Geometry G0B08A staff staff
Differential Geometry (5 ECTS) G0B08a staff staff
Differential Geometry: Exercises (1 ECTS) G0B09a staff staff
6 ECTS Probability and Measure G0P63B staff- N.
- A.Wennman (substitute)
staff
- N.
- A.Wennman (substitute)
Probability and Measure (4 ECTS) G0P63a staff- N.
- A.Wennman (substitute)
staff
- N.
- A.Wennman (substitute)
Probability and Measure: Exercises (2 ECTS) G0P64a staff- N.
- A.Wennman (substitute)
staff
- N.
- A.Wennman (substitute)
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Pure Mathematics: In-Depth Courses
You complete the profile to (at least) 54 credits by choosing in-depth courses from the list immediately below, or from the list of in-depth courses in pure mathematics of the Dutch variant of the master programme or from a list of complementary courses described further below.
6 ECTS Algebraic Topology G0A84A staff staff
Algebraic Topology (6 ECTS) G0A84a staff staff
6 ECTS Algebraic Number Theory G0A99A staff staff
Algebraic Number Theory (5 ECTS) G0A99a staff staff
Algebraic Number Theory: Exercises (1 ECTS) G0B02a staff staff
6 ECTS Riemann Surfaces G0B05A staff staff
Riemann Surfaces (5 ECTS) G0B05a staff staff
Riemann Surfaces: Exercises (1 ECTS) G0B06a staff staff
6 ECTS Operator Algebras G0B07A staff staff
Operator Algebras: Exercises (2 ECTS) G00J6a staff staff
Operator Algebras (4 ECTS) G0B07a staff staff
6 ECTS Riemannian Geometry G0B10A staff staff
Riemannian Geometry (6 ECTS) G0B10a staff staff
6 ECTS Symplectic Geometry G0B11A staff staff
Symplectic Geometry (6 ECTS) G0B11a staff staff
6 ECTS Orthogonal Polynomials and Random Matrices G0U68A staff- N.
- A.Wennman (substitute)
staff
- N.
- A.Wennman (substitute)
Orthogonal Polynomials and Random Matrices (6 ECTS) G0U68a staff- N.
- A.Wennman (substitute)
staff
- N.
- A.Wennman (substitute)
6 ECTS Algebraic Geometry II G0D17A staff staff
Algebraic Geometry II (5 ECTS) G0D17a staff staff
Algebraic Geometry II: Exercises (1 ECTS) G0D18a staff staff
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Complementary Courses
To complete the profile to (at least) 54 credits you can
- choose core or in-depth courses from the other profile than the one you have chosen,
- choose for at most 18 credits courses that fill some specific gaps in your previous knowledge (e.g. Dutch courses from the bachelor programme for example G0P53B or H01P3A (see below)); this choice should be approved by the programme director,
- choose at most 6 credits from:
* general non-mathematical courses (e.g. language courses) from the KU Leuven curriculum; this choice should be approved by the programme director
* a course from a different option than the one you have chosen,
- choose knowledge broadening courses from the domains Mathematical Physics, Technical Mathematics, Statistics and Financial and Actuarial Mathematics. You can find a list of those knowledge broadening courses here.
- choose from a list you find here,
- choose from the group "Science, Education and Society".
Students can valorise participation to a project of AFC or AFD or a Summer School for 3 credits in the programme. They have to ask the permission of the programme director. The ISP-approver can add these courses to the ISP.
Students who took these courses during their bachelor programme cannot claim an exemption for these courses.6 ECTS Numerieke benadering met toepassing in datawetenschappen H01P3A staff- W.Michiels (coordinator)
- G.Samaey
staff
- W.Michiels (coordinator)
- G.Samaey
Numerieke benadering met toepassing in datawetenschappen: hoorcollege (4 ECTS) H01P3a staff staff
Numerieke benadering met toepassing in datawetenschappen: oefeningen (1.2 ECTS) H01P4a staff staff
Numerieke benadering met toepassing in datawetenschappen: practica (0.8 ECTS) H01Z3a staff staff
6 ECTS Number Theory G0P61B staff staff
Number Theory (4 ECTS) G0P61a staff staff
Number Theory: Exercises (2 ECTS) G0P62a staff staff
6 ECTS Stochastic Models G0P65C staff staff
Stochastic Models (Part 1) (4 ECTS) G0P66a staff staff
Stochastic Models (Part 2) (2 ECTS) G0T68a staff staff
6 ECTS Algebra II G0P53B staff staff
Algebra II (3.9 ECTS) G0P53a staff staff
Algebra II: oefeningen (1.1 ECTS) G0P54a staff staff
Algebra II: opdracht (1 ECTS) G0S28a staff staff
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Science, Education and Society
6 ECTS Science Communication and Outreach G0R44A staff staff
Science Communication and Outreach (6 ECTS) G0R44a staff staff
6 ECTS Geschiedenis van de wiskunde G0P59B staff staff
Geschiedenis van de wiskunde (6 ECTS) G0P59a staff staff
6 ECTS Science and Sustainability: a Socio-Ecological Approach G0R50A staff staff
- G.Ceulemans (coordinator)
- K.Biedenkopf
- G.Ceulemans
- M.Craps
- N.Severijns
- M.Smet
- N.
Science and Sustainability: a Socio-Ecological Approach – Concepts (2 ECTS) G0R88a staff Science and Sustainability: a Socio-Ecological Approach – Assignment (1 ECTS) G0R89a staff Science and Sustainability: a Socio-Ecological Approach – Project (3 ECTS) G0R90a staff 3 ECTS Wetenschappen voor een inclusieve samenleving G00A3A staff staff
- P.Muchez (coordinator)
- G.Ceulemans
- P.Muchez
- N.
Wetenschappen voor een inclusieve samenleving (3 ECTS) G00A3a staff staff
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Profile: Applied Mathematics
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Applied Mathematics: Core Courses
You choose at least 5 core courses from the list below or from the list of core courses in applied mathematics of the Dutch variant of the master programme.
6 ECTS Optimization H03E3A staff staff
Optimization: Lecture (4 ECTS) H03E3a staff staff
Optimization: Exercises and Laboratory Sessions (2 ECTS) H03E4a staff staff
6 ECTS Computational Methods for Astrophysical Applications G0B30A staff- R.Keppens (coordinator)
- J.Sundqvist
staff
- R.Keppens (coordinator)
- J.Sundqvist
Computational Methods for Astrophysical Applications (4 ECTS) G0B30a staff staff
Computational Methods for Astrophysical Applications: Computerlab (2 ECTS) G0B31a staff staff
6 ECTS Introduction to Plasma Dynamics G0P71B staff staff
- F.Bacchini (coordinator)
- R.Keppens
- N.
- F.Bacchini (substitute)
Introduction to Plasma Dynamics (5 ECTS) G0P71a staff staff
- R.Keppens
- N.
- F.Bacchini (substitute)
Introduction to Plasma Dynamics: Exercises (1 ECTS) G0P72a staff staff
- R.Keppens
- N.
- F.Bacchini (substitute)
6 ECTS Numerical Simulation of Differential Equations H0M80A staff Numerical Simulation of Differential Equations: Lecture (4.5 ECTS) H0M80a staff staff
Numerical Simulation of Differential Equations: Exercise Sessions and Projects (1.5 ECTS) H0M81a staff staff
6 ECTS Fundamentals of Financial Mathematics G0Q20A staff staff
Fundamentals of Financial Mathematics (4 ECTS) G0Q20a staff staff
Fundamentals of Financial Mathematics: Exercises (2 ECTS) G0Q21a staff staff
6 ECTS Statistical Tools for Quantitative Risk Management G0Q24A staff- N.
- B.Smits (substitute)
staff
- N.
- B.Smits (substitute)
Statistical Tools for Quantitative Risk Management (6 ECTS) G0Q24a staff- N.
- B.Smits (substitute)
staff
- N.
- B.Smits (substitute)
6 ECTS Advanced Nonparametric Statistics and Smoothing G0A23A staff staff
Advanced Nonparametric Statistics and Smoothing (6 ECTS) G0A23a staff staff
6 ECTS Waves and Instabilities G0B26A staff staff
Waves and Instabilities (5 ECTS) G0B26a staff staff
Waves and Instabilities: Exercises (1 ECTS) G0B27a staff staff
6 ECTS Robust Statistics G0B16A staff- M.Hubert (coordinator)
- S.Van Aelst
staff
- M.Hubert (coordinator)
- S.Van Aelst
Robust Statistics (4 ECTS) G0B16a staff staff
Robust Statistics: Exercises (1 ECTS) G0B17a staff staff
Robust Statistics: Project (1 ECTS) G0B18a staff staff
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Applied Mathematics: In-Depth Courses
You complete the profile to (at least) 54 credits by choosing in-depth courses from the list immediately below, or from the list of in-depth courses in applied mathematics of the Dutch variant of the master programme or from a list of complementary courses described further below.
4 ECTS Parallel Computing H03F9A staff staff
- K.Meerbergen (coordinator)
- M.Diehl
- K.Meerbergen
Parallel Computing: Lecture (3 ECTS) H03F9a staff staff
Parallel Computing: Exercises and Laboratory Sessions (1 ECTS) H03G0a staff staff
6 ECTS Numerical Linear Algebra H03G1A staff- R.Vandebril (coordinator)
- K.Meerbergen
- M.Rinelli (substitute)
- R.Vandebril
- M.Rinelli (substitute)
- N.Vannieuwenhoven
staff
- R.Vandebril (coordinator)
- K.Meerbergen
- M.Rinelli (substitute)
- R.Vandebril
- M.Rinelli (substitute)
- N.Vannieuwenhoven
Numerical Linear Algebra: Lecture (3 ECTS) H03G1a staff staff
- K.Meerbergen
- M.Rinelli (substitute)
- R.Vandebril
- M.Rinelli (substitute)
- N.Vannieuwenhoven
Numerical Linear Algebra: Exercises and Laboratory Sessions (1 ECTS) H03G2a staff Numerical Linear Algebra: Project (2 ECTS) H09N2a staff 6 ECTS Plasma Physics of the Sun G0B28A staff staff
Plasma Physics of the Sun (4 ECTS) G0B28a staff staff
Plasma Physics of the Sun: Assignments (2 ECTS) G0B29a staff staff
6 ECTS Advanced Statistical Methods G0B13A staff staff
Advanced Statistical Methods (4 ECTS) G0B13a staff staff
Advanced Statistical Methods: Exercises (1 ECTS) G0B14a staff staff
Advanced Statistical Methods: Project (1 ECTS) G0B15a staff staff
6 ECTS Financial Engineering G0Q22A staff staff
- W.Schoutens (coordinator)
- P.Leoni
- W.Schoutens
Financial Engineering (5 ECTS) G0Q22a staff staff
Financial Engineering: Exercises (1 ECTS) G0Q23a staff staff
6 ECTS Space Weather G0B32A staff staff
- J.Magdalenić Zhukov (coordinator)
- J.De Keyser
- J.Magdalenić Zhukov
Space Weather Sciences (4 ECTS) G0B32a staff Space Weather Projects (2 ECTS) G0B38a staff 6 ECTS Statistical Data Analysis G0O00A staff staff
Statistical Data Analysis (3 ECTS) G0O00a staff staff
Statistical Data Analysis: Exercises (2 ECTS) G0O01a staff staff
Statistical Data Analysis: Project (1 ECTS) G0O02a staff staff
6 ECTS Generalized Linear Models G0A18A staff staff
Generalized Linear Models (6 ECTS) G0A18a staff staff
6 ECTS Statistical Modelling D0N23B staff staff
Statistical Modelling (6 ECTS) D0N53a staff staff
6 ECTS Advanced Analytics in a Big Data World D0S06B staff staff
Big Data Platforms & Technologies (3 ECTS) D0S06a staff staff
Advanced Analytics in Business (3 ECTS) D0S07a staff staff
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Complementary Courses
To complete the profile to (at least) 54 credits you can
- choose core or in-depth courses from the other profile than the one you have chosen,
- choose for at most 18 credits courses that fill some specific gaps in your previous knowledge (e.g. Dutch courses from the bachelor programme for example G0P53B or H01P3A (see below)); this choice should be approved by the programme director,
- choose at most 6 credits from:
* general non-mathematical courses (e.g. language courses) from the KU Leuven curriculum; this choice should be approved by the programme director
* a course from a different option than the one you have chosen,
- choose knowledge broadening courses from the domains Mathematical Physics, Technical Mathematics, Statistics and Financial and Actuarial Mathematics. You can find a list of those knowledge broadening courses here.
- choose from a list you find here,
- choose from the group "Science, Education and Society".
Students can valorise participation to a project of AFC or AFD or a Summer School for 3 credits in the programme. They have to ask the permission of the programme director. The ISP-approver can add these courses to the ISP.
Students who took these courses during their bachelor programme cannot claim an exemption for these courses.6 ECTS Numerieke benadering met toepassing in datawetenschappen H01P3A staff- W.Michiels (coordinator)
- G.Samaey
staff
- W.Michiels (coordinator)
- G.Samaey
Numerieke benadering met toepassing in datawetenschappen: hoorcollege (4 ECTS) H01P3a staff staff
Numerieke benadering met toepassing in datawetenschappen: oefeningen (1.2 ECTS) H01P4a staff staff
Numerieke benadering met toepassing in datawetenschappen: practica (0.8 ECTS) H01Z3a staff staff
6 ECTS Number Theory G0P61B staff staff
Number Theory (4 ECTS) G0P61a staff staff
Number Theory: Exercises (2 ECTS) G0P62a staff staff
6 ECTS Stochastic Models G0P65C staff staff
Stochastic Models (Part 1) (4 ECTS) G0P66a staff staff
Stochastic Models (Part 2) (2 ECTS) G0T68a staff staff
6 ECTS Algebra II G0P53B staff staff
Algebra II (3.9 ECTS) G0P53a staff staff
Algebra II: oefeningen (1.1 ECTS) G0P54a staff staff
Algebra II: opdracht (1 ECTS) G0S28a staff staff
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Science, Education and Society
6 ECTS Philosophy of Science / Natural Philosophy: Advanced Course W0Q19A staff staff
- S.Wenmackers (coordinator)
- C.Maes
- S.Wenmackers
Philosophy of Science / Natural Philosophy: Advanced Course (6 ECTS) W0Q19a staff staff
6 ECTS Science Communication and Outreach G0R44A staff staff
Science Communication and Outreach (6 ECTS) G0R44a staff staff
6 ECTS Geschiedenis van de wiskunde G0P59B staff staff
Geschiedenis van de wiskunde (6 ECTS) G0P59a staff staff
6 ECTS Science and Sustainability: a Socio-Ecological Approach G0R50A staff staff
- G.Ceulemans (coordinator)
- K.Biedenkopf
- G.Ceulemans
- M.Craps
- N.Severijns
- M.Smet
- N.
Science and Sustainability: a Socio-Ecological Approach – Concepts (2 ECTS) G0R88a staff Science and Sustainability: a Socio-Ecological Approach – Assignment (1 ECTS) G0R89a staff Science and Sustainability: a Socio-Ecological Approach – Project (3 ECTS) G0R90a staff
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Master's Thesis
The Master's Thesis is compulsory.
30 ECTS Master's Thesis G0K97A staff- N.Budur (coordinator)
- N.
staff
- N.Budur (coordinator)
- N.
Master's Thesis (30 ECTS) G0K97a staff- N.
staff
- N.
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Options
You choose one of the following two options.
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Research Option
You choose the seminar, the advanced reading course, and at least one of the capita selecta courses.
You can also choose advanced courses from the Master programmes Mathematics at other Belgian universities, if you have the approval of the programme director. Under some circumstances you can also exchange a capita selecta course for an advanced course at a different Belgian university, if you have the approval of the programme director.
You complete the research option to (at least) 30 credits by taking extra core or in-depth courses from your profile.-
Student Seminars
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Advanced Reading Courses
This course is compulsory.
6 ECTS Advanced Reading Course in Mathematics G0V75A staff staff
- M.Zambon (coordinator)
- S.Van Aelst
- M.Zambon
Advanced Reading Course in Mathematics (6 ECTS) G0V75a staff staff
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Selected Topic Courses
You choose at least one of the selected topic courses. If in some academic year those courses would not treat a domain that corresponds to the profile you have chosen, you can substitute the selected topic course by some extra core or in-depth course from your profile.
6 ECTS Selected Topics in Mathematics I G0B63A staff- J.Van der Veken
- M.Alonso Pena (substitute)
staff
- J.Van der Veken
- M.Alonso Pena (substitute)
Selected Topics in Mathematics I (6 ECTS) G0B63a staff- J.Van der Veken
- M.Alonso Pena (substitute)
staff
- J.Van der Veken
- M.Alonso Pena (substitute)
6 ECTS Selected Topics in Mathematics II G0L86A staff staff
Selected Topics in Mathematics II (6 ECTS) G0L86a staff staff
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Professional Option
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