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| Application Deadline: | January 16 | ||
| Annual Tuition Fee: | Free - ≈ € 16,180 (non-EEA) | ||
| Location: | Stockholm / Sweden / View location on map ▾ Hide location on map ▴ | ||
| Duration: | 24 months | Start Date: | August |
| Educational Form: |
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| Education Variants: |
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| Credits (ECTS): | 120 | ||
| Languages: | English | ||
Location of KTH Royal Institute of Technology
The Master´s Programme in mathematics is intended to provide broad competence in mathematics. Specializations are allowed from a wide spectrum, ranging from pure mathematics to a diversity of applications. The specializations are directed towards areas corresponding to research groups at the Department of Mathematics. Students may thus take full advantage of the broad spectrum of competence within mathematics available at KTH.
The programme begins with a common block of courses, providing broad knowledge in Mathematics. These courses correspond to 45 ECTS. In addition to these courses, students may select courses corresponding to 45 ECTS among five specializations:
* Mathematics
* Mathematical statistics and financial mathematics
* Computational mathematics
* Optimization and systems theory
* Discrete mathematics and theoretical computer science
Finally, a Master's thesis of 30 ECTS is performed in the area of the selected specialization.
Career prospects
The Programme may serve as a degree leading to an advanced industrial position or as a platform for continued graduate studies. Mathematics is becoming increasingly important in society. One important purpose of this Master´s Programme is to educate tomorrow's industrial mathematicians.
Contents
The compulsory part of the programme consists of at least two of the
following courses
* Foundations of Analysis,
* Discrete mathematics,
* Groups and Rings,
together with
* Probability theory,
* Applied numerical methods,
* Optimization,
* Theory and methodology of sciences.
Specialization - Mathematics
The specialization in mathematics is intended for students who wish to acquire knowledge on mathematics at an advanced level. The specialization may form the foundation for doctorate studies in mathematics, applied mathematics or closely related doctorate programmes. There are a large number of elective courses given, many jointly with the Department of Mathematics at Stockholm University.
Specialization - Mathematical statistics and financial mathematics
The aim of the specialization in mathematical statistics and financial mathematics is to provide broad knowledge on the mathematical foundation of statistical methods and a number of statistical tools for modeling and analysis of situations where randomness and uncertainty must be taken into account. There is a wide range of areas where this knowledge may be applied. In recent years, modelling of financial markets has attracted significant interest. Consequently financial mathematics is, to a large extent, a natural part of mathematical statistics.
Specialization - Computational mathematics
The rapid development of hardware as well as software in the information technology sector has significantly improved the ability and need for mathematics in society. The specialization towards computational mathematics aims at construction, analysis and application of numerical methods for mathematical models.
Specialization - Optimization and systems theory
Optimization and systems theory is an applied mathematical discipline motivated by applications in areas such as operations research, economics, control and signal progressing. Optimization concerns maximizing or minimizing a function subject to constraints. Many such problems arise in real life, for example an airline scheduling aircraft or a telephone company routing calls. In all these problems, the systems concept arises. Systems theory is the study of phenomena and structures of high complexity, often man-made structures. Applications for systems theory can be found in e.g. robotics, control, and signal processing.
Specialization - Discrete mathematics and theoretical computer science
Discrete mathematics concerns the study of discrete (often finite) structures and concepts. Discrete, mathematical and combinatorial objects are often fascinating as such, but they also have a large number of practical applications e.g. coding theory is used in cd players. Computer science is a very wide discipline which is close to discrete mathematics. Within complexity theory, mathematics and logics are very important tools for understanding what problems can be solved efficiently. Cryptography is another area where mathematical models are used to construct secure and efficient programmes.
Degree project
The degree project will typically be carried out within the specialization chosen, either internally with a research group at KTH or externally at a company. The results are presented in a master's thesis as well as in a seminar.
IELTS
You are normally required to take an English Proficiency Test.
Most European Universities recognise the IELTS test.
Take testRequirements
General admission requirements
The general requirements are the same for all applicants to advanced level studies in Sweden.
1. Previous studies
A completed Bachelor's degree.
A completed Bachelor's degree, corresponding to a Swedish Bachelor's degree (180 ECTS), or equivalent academic qualifications from an internationally recognised university. The university has to be listed in the latest edition of the International Handbook of Universities. A Bachelor's degree in Science or Engineering is required for most programmes at KTH.
2. Language requirements
Applicants must provide proof of their English language proficiency which is most commonly established through an internationally recognised test.
TOEFL
* Paper-based test: total result of 575 (written test, grade 4.5)
* Internet-based test: total result of 90 (written test, grade 20)
English test results from TOEFL should be sent directly from the ETS test centre to University Studies in Sweden (code 9520).
IELTS
* A minimum overall mark of 6.5, with no section lower than 5.5 (only Academic Training accepted)
University of Cambridge/ University of Oxford Certificates
* Certificate of Advanced English
* Certificate of Proficiency
* Diploma of English Studies
GCE O-level
* Minimum grade C.
Upper secondary education:
In some cases English proficiency can be fulfilled from upper secondary education, for example a German Abitur with English as first foreign language "Grundstufe" (ausreichend at least 5/15) or "Leistungsfach" or French students who have taken English as LV 1 in Série L (littéraire) Langue Vivante or Sèrie ES, Langue Vivante. In most cases the requirement of English proficiency is fulfilled if you have studied English for eight years up to upper secondary education. Proof thereof must be enclosed in your application.
English proficiency tests are waived for the following:
* Applicants with a Bachelor's degree from a university where English is the only language of instruction, in accordance with recommendations in the latest edition of the International Handbook of Universities.
* Applicants with a Bachelor's degree from an internationally recognised university, where all courses of the study programme were taught in English. (This must be evident from the Transcript of Records/Diploma supplement/ Degree certificate).
* Applicants with a 4 year Bachelor's degree in Engineering, Science, Technology, Medicine, Pharmacy or Computer Science from India or Pakistan.
* Applicants with a Bachelor's degree (a Swedish Kandidatexamen or equivalent academic qualifications) with English as the major subject.
* Applicants who have 30 HE credits from a Nordic country and the language of instruction of the course/programme/university is English (proof thereof must be enclosed).
Specific admission requirements
The prerequisites for the Master's programme in Mathematics is a Swedish or foreign degree equivalent to Bachelor of Science of 180 ECTS credits, with at least 45 ECTS credits in mathematics. The students are required to have documented knowledge corresponding to basic university courses in analysis, linear algebra, numerical analysis, differential equations and transforms, and mathematical statistics.
The specific requirements may be assessed as not fulfilled if
1. the average grade is in the lower third on the grading scale used (above pass level)
2. the degree awarding institution is not considered to meet acceptable quality standards by the authorities of the country in which the institution is located
3. the degree does not qualify for admission to equivalent Master level in the country where the degree is awarded
Selection process
The selection process for The Master of Science programme in Mathematics is based on a total evaluation of the following selection
criteria: university, grade point average (GPA), course work related to the programme (mathematics in a wide sense), and references.
Required documents
All applications must be supported by documentation including Transcripts of Records, Degree certificate/Diploma, proof of English proficiency etc.
In addition, the following set of documents is required for the Master's programme in Mathematics:
* Motivation letter consisting of 1) a short autobiographical statement; 2) a short motivation why you are interested in the programme; 3) a clear account of how you fulfil the specific admission requirements for the programme.
* 2 letters of recommendation
* Copy of GRE results, if available
Additional Requirements
| Minimal degree required: | Bachelor's degree |
| Minimal amount of work experience | Not specified |
Language Proficiency
| IELTS Band: | 6.5 |
| TOEFL Paper-based: | 575 |
| TOEFL Internet-based: | 90 |
Ask a Question
You can contact Mattias Dahl to ask a question about Mathematics at KTH Royal Institute of Technology.
Relevant Links
- Programme website
- KTH Master’s programmes in English
- Department website
- University website
- Information about programme
- City website
- Study in Stockholm
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- Information about Sweden
- Sweden's community for international students
- Student experiences about Sweden - STeXX.eu
- Study in Sweden
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