Pursuant to Act 261 of March 18, 2015 on Universities (the University Act) with subsequent changes, the following curriculum is established. The programme also follows the Joint Programme Regulations and the Examination Policies and Procedures for The Faculty.
The Master’s programme is organised in accordance with the Ministry of Higher Education and Science’s Order no. 1328 of November 15, 2016 on Bachelor’s and Master’s Programmes at Universities (the Ministerial Order of the Study Programmes) and Ministerial Order no. 1062 of June 30, 2016 on University Examinations (the Examination Order). Further reference is made to Ministerial Order no. 111 of January 30, 2017 (the Admission Order) and Ministerial Order no. 114 of February 3, 2015 (the Grading Scale Order) with subsequent changes.
The programme is offered in Aalborg.
The Master’s programme falls under The Faculty of Engineering and Science, Aalborg University.
The Master’s programme falls under Study Board of Mathematical Sciences
The Master’s programme is associated with the external examiners corps on Mathematics.
(Censorkorpset for matematik)
Applicants with a legal claim to admission (retskrav):
Applicants with one of the following degrees are entitled to admission:
Applicants without legal claim to admission:
The Master’s programme entitles the graduate to the Danish designation Cand.scient. i matematik. The English designation is: Master of Science (MSc) in Mathematics.
Or
Cand.scient. (candidatus/candidata scientiarum) i matematik og [sidefag]. The English designation is: Master of Science (MSc) in Mathematics and [Minor Subject].
The Master’s programme is a 2-year, research-based, full-time study programme. The programme is set to 120 ECTS credits.
The Study Board can approve that passed programme elements from other educational programmes at the same level replaces programme elements within this programme (credit transfer).
Furthermore, the Study Board can, upon application, approve that parts of this programme is completed at another university or a further education institution in Denmark or abroad (pre-approval of credit transfer).
The Study Board’s decisions regarding credit transfer are based on an academic assessment.
The Study Board’s possibilities to grant exemption, including exemption to further examination attempts and special examination conditions, are stated in the Examination Policies and Procedures published at this website: https://www.studieservice.aau.dk/regler-vejledninger
The rules for examinations are stated in the Examination Policies and Procedures published at this website: https://www.studieservice.aau.dk/regler-vejledninger
In the assessment of all written work, regardless of the language it is written in, weight is also given to the student's formulation and spelling ability, in addition to the academic content. Orthographic and grammatical correctness as well as stylistic proficiency are taken as a basis for the evaluation of language performance. Language performance must always be included as an independent dimension of the total evaluation. However, no examination can be assessed as ‘Pass’ on the basis of good language performance alone; similarly, an examination normally cannot be assessed as ‘Fail’ on the basis of poor language performance alone.
The Study Board can grant exemption from this in special cases (e.g., dyslexia or a native language other than Danish).
The Master’s Thesis must include an English summary. If the project is written in English, the summary can be in Danish. The summary is included in the evaluation of the project as a whole.
It is assumed that the student can read academic texts in his or her native language as well as in English and use reference works etc. in other European languages.
The following competence profile will appear on the diploma:
A Candidatus graduate has the following competency profile:
A Candidatus graduate has competencies that have been acquired via a course of study that has taken place in a research environment.
A Candidatus graduate is qualified for employment on the labour market based on his or her academic discipline as well as for further research (PhD programmes). A Candidatus graduate has, compared to a Bachelor, developed his or her academic knowledge and independence so as to be able to apply scientific theory and method on an independent basis within both an academic and a professional context.
Students graduating as Masters of Mathematics
Knowledge
Skills
Competencies
Moreover, graduates within Applied Mathematics
Knowledge
Skills
Competencies
Moreover, students graduating in Mathematics in combination within a second subject
Knowledge
Skills
Competencies
The programme is structured in modules and organized as a problem-based study. A module is a programme element or a group of programme elements, which aims to give students a set of professional skills within a fixed time frame specified in ECTS credits, and concluding with one or more examinations within specific exam periods. Examinations are defined in the curriculum. The programme is based on a combination of academic, problem-oriented and interdisciplinary approaches and organized based on the following work and evaluation methods that combine skills and reflection:
Overview of the programmes:
All modules are assessed through individual grading according to the 7-point scale or Pass/Fail. All modules are assessed by external examination (external grading) or internal examination (internal grading or by assessment by the supervisor only).
General provisions concerning elective courses:
- Only a limited number of elective courses from the list of courses will be offered at each semester.
- The study board can cancel modules if the nuymber of enrolled students is low.
- Students can only participate once in a course with a given title. In particular, they cannot follow a course if they have previously participated in a course with the same title as part of a bachelor programme.
Students can participate only once in a course with a given title. In particular, they cannot follow a course if they have previously participated in a course with the same title as part of a bachelor programme.
All modules are assessed through individual grading according to the 7-point scale or Pass/Fail. All modules are assessed by external examination (external grading) or internal examination (internal grading or by assessment by the supervisor only).
On the 7'th, 8'th and 9'th semester the student may follow courses from different curricula e.g. engineering or computer science, as decribed in the requirements for Applied Mathematics.
Offered as:
1-professional | ||||||
Study programme: Applied Mathematics | ||||||
Module name | Course type | ECTS | Applied grading scale | Evaluation method | Assessment method | Language |
1 Semester
| ||||||
Introductory Application Oriented Mathematics | Project | 15 | 7-point grading scale | External examination | Oral exam based on a project | Danish and English |
1. semester/MAT7 elective courses | Course | 15 | ||||
2 Semester
| ||||||
Intermediate Application Oriented Mathematics | Project | 15 | 7-point grading scale | Internal examination | Oral exam based on a project | Danish and English |
2. semester/MAT8 elective courses | Course | 15 | ||||
3 Semester
| ||||||
Advanced Application Oriented Mathematics | Project | 20 | 7-point grading scale | Internal examination | Oral exam based on a project | Danish and English |
3. semester/MAT9 elective courses | Course | 10 | ||||
3-4 Semester
| ||||||
Long Master’s Thesis, 60 ECTS | Project | 60 | 7-point grading scale | External examination | Oral exam based on a project | Danish and English |
4 Semester
| ||||||
Master’s Thesis. 30 ECTS | Project | 30 | 7-point grading scale | External examination | Oral exam based on a project | Danish and English |
Long Master's thesis
The long Master's thesis, which must be of experimental character, is propared in the 3'rd and 4'th semesters; the extent is 60 ECTS.
Study abroad
On the 3'rd semester the student also has the possibility to study at another Danish or international university (study abroad). Study at another university must be approved by the Study Board.
1. semester/MAT7 elective courses | ||||||
Module name | Course type | ECTS | Applied grading scale | Evaluation Method | Assessment method | Language |
Introduction to Partial Differential Equations | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Numerical Analysis | Course | 5 | Passed/Not Passed | Internal examination | Oral exam | Danish and English |
Manifolds – Differential Geometry and Topology | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Optimization | Course | 5 | 7-point grading scale | External examination | Written or oral exam | Danish and English |
Measure Theory and Stochastic Processes | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Statistics for Duration Data | Course | 5 | Passed/Not Passed | Internal examination | Active participation/continuous evaluation | Danish and English |
Topics in Statistical Sciences I | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
Topics in Statistical Science II | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
Information and Coding Theory | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
2. semester/MAT8 elective courses | ||||||
Module name | Course type | ECTS | Applied grading scale | Evaluation Method | Assessment method | Language |
Bayesian Inference and Mixed Models | Course | 5 | Passed/Not Passed | Internal examination | Active participation/continuous evaluation | Danish and English |
Time Series and Econometrics | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
Spatial Statistics and Markov Chain Monte Carlo Methods | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Graph Theory | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Coding Theory | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Applied Harmonic Analysis | Course | 5 | Passed/Not Passed | Internal examination | Oral exam | Danish and English |
Operators on Hilbert Spaces | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Algebraic Topology | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Quantitative Finance and Computational Statistics | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Financial Engineering | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Data Mining | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
3. semester/MAT9 elective courses | ||||||
Module name | Course type | ECTS | Applied grading scale | Evaluation Method | Assessment method | Language |
Introduction to Partial Differential Equations | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Numerical Analysis | Course | 5 | Passed/Not Passed | Internal examination | Oral exam | Danish and English |
Manifolds – Differential Geometry and Topology | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Optimization | Course | 5 | 7-point grading scale | External examination | Written or oral exam | Danish and English |
Measure Theory and Stochastic Processes | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Statistics for Duration Data | Course | 5 | Passed/Not Passed | Internal examination | Active participation/continuous evaluation | Danish and English |
Topics in Statistical Sciences I | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
Topics in Statistical Science II | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
Topics in Algebraic Geometry and Commutative Algebra | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Topics in Applied Mathematical Analysis and Geometry | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Mathematics as a central subject in combination with a minor subject. Tofagsuddannelse med matematik som centralt fag, gymnasielærer.
Example: NAT as a minor subject (for example Biology as a minor subject) The student has followed 60 ECTS on the minor subject at the bachelor level.
Individual plans must be approved by the two Study Boards involved.
Offered as:
2-professional | ||||||
Study programme: Major subject Mathematics, minor subject NAT | ||||||
Module name | Course type | ECTS | Applied grading scale | Evaluation method | Assessment method | Language |
1 Semester
| ||||||
Statistical Modelling and Analysis | Project | 15 | 7-point grading scale | External examination | Oral exam based on a project | Danish and English |
Statistical Inference for Linear Models | Course | 5 | Passed/Not Passed | Internal examination | Active participation/continuous evaluation | Danish and English |
Computeralgebra | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Differential Geometry | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
2 Semester
| ||||||
Mathematics with Applications | Project | 15 | 7-point grading scale | External examination | Oral exam based on a project | Danish and English |
Integration Theory | Course | 5 | 7-point grading scale | External examination | Written or oral exam | Danish and English |
2. semester/MAT8 elective courses | ||||||
4 Semester
| ||||||
Master’s Thesis. 30 ECTS | Project | 30 | 7-point grading scale | External examination | Oral exam based on a project | Danish and English |
Mathematics as a minor subject in combination with central subject
Tofagsuddannelse med matematik som sidefag, gymnasielærer.
Example: NAT central subject (for example Biology as a central subject). The student has followed 60 ECTS mathematics on the bachelor level.
Individual plans must be approved by the two Study Boards involved.
Offered as:
2-professional | ||||||
Study programme: Minor subject Mathematics, major subject NAT (draft version) | ||||||
Module name | Course type | ECTS | Applied grading scale | Evaluation method | Assessment method | Language |
3 Semester
| ||||||
Statistical Modelling and Analysis | Project | 15 | 7-point grading scale | External examination | Oral exam based on a project | Danish and English |
Statistical Inference for Linear Models | Course | 5 | Passed/Not Passed | Internal examination | Active participation/continuous evaluation | Danish and English |
Computeralgebra | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Differential Geometry | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
EXAMPLE: HUM/SAMF/IDRÆT central subject. The student has followed 45 ECTS mathematics on the bachelor level. Individual plans must be approved by the two Study Boards involved.
Offered as:
2-professional | ||||||
Study programme: Minor subject Mathematics, major subject HUM/SAMF/Idræt (draft version) | ||||||
Module name | Course type | ECTS | Applied grading scale | Evaluation method | Assessment method | Language |
1 Semester
| ||||||
Ordinary Differential Equations | Project | 15 | 7-point grading scale | Internal examination | Oral exam based on a project | Danish and English |
Analysis 1 | Course | 5 | 7-point grading scale | External examination | Written or oral exam | Danish and English |
Linear Algebra with Applications | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
Algebra 1: Groups | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
2 Semester
| ||||||
Symmetry | Project | 10 | 7-point grading scale | External examination | Oral exam based on a project | Danish and English |
Probability Theory | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | English |
Analysis 2 | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
Algebra 2: Rings and Fields | Course | 5 | 7-point grading scale | External examination | Written or oral exam | Danish and English |
Mathematics as a minor subject, master level. Elective courses on MAT4 | ||||||
3 Semester
| ||||||
Statistical Inference for Linear Models | Course | 5 | Passed/Not Passed | Internal examination | Active participation/continuous evaluation | Danish and English |
Computeralgebra | Course | 5 | Passed/Not Passed | Internal examination | Written or oral exam | Danish and English |
Differential Geometry | Course | 5 | 7-point grading scale | Internal examination | Written or oral exam | Danish and English |
Mathematics as a minor subject, master level. Elective courses on MAT4 | ||||||
Module name | Course type | ECTS | Applied grading scale | Evaluation Method | Assessment method | Language |
Complex Functions | Course | 5 | Passed/Not Passed | Internal examination | Active participation/continuous evaluation | Danish and English |
The Didactics of Mathematics | Course | 5 | Passed/Not Passed | Internal examination | Active participation/continuous evaluation | Danish and English |
All students who have not participated in Aalborg University’s PBL introductory course during their Bachelor’s degree must attend the introductory course “Problem-based Learning and Project Management”. The introductory course must be approved before the student can participate in the project exam. For further information, please see the School of Engineering and Science’ website.
The curriculum is approved by the dean and enters into force as of 01.09.2017.
Students who wish to complete their studies under the previous curriculum from 2016 must conclude their education by the summer examination period 2018 at the latest, since examinations under the previous curriculum are not offered after this time.