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Applied Mathematics – (M.Sc.)
Stockholm University
Department of Mathematics
| Application Deadline: | January 16 | ||
| Annual Tuition Fee: | Free - ≈ € 15,900 (non-EEA) | ||
| Location: | Stockholm / Sweden / View location on map ▾ Hide location on map ▴ | ||
| Duration: | 24 months | Start Date: | September |
| Educational Form: |
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| Education Variants: |
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| Credits (ECTS): | 120 | ||
| Languages: | English | ||
Location of Stockholm University
Applied mathematics is a branch of mathematics that is concerned with mathematical theory and methods typically used in the application of mathematical knowledge to other domains, as distinguished from applications of mathematics
within science and engineering. In this master’s programme students will be trained to make mathematics relevant for a variety of applications and accessible to
non-mathematicians, to analyse problems from the disciplines of sciences, engineering, economics and medical science/engineering, to construct models that explain phenomena in different domains of application, and to reproduce data from observations and experiments.
The Master’s Programme in Applied Mathematics has four compulsory courses during the first year, which give students a firm foundation and prepare them for more advanced mathematical courses. Mandatory courses include Analytic Functions 1, Optimization, Ordinary Differential Equations and Dynamic Systems and Optimal
Control Theory. The programme also offers more advanced courses in areas such as optimization, mathematical control systems theory, inverse problems, dynamic
models in biology, and mathematical foundations of systems biology, in addition to classical areas of mathematics.
The master’s project, taken over one semester, can explore issues taken from many areas of mathematics that are applicable to real-world problems, and can be
completed in collaboration with scientists from fields of specific application interests.
The programme is designed to provide an appropriate grounding for students to continue mathematical education to Doctoral level as well as in other sciences and
applied fields where mathematics is highly demanded, or to embark on industrial research or work in financial sectors.
Contents
The programme is a two year full-time study programme that consists of courses in mathematics, mathematical statistics and scientific computing and computer science of 90 credits including a degree project of 30 credits. At least 60 credits must be in the main subject applied mathematics. In the programme there is room for optional courses of 30 credits.
Obligatory courses
* Analytic functions I 7.5 credits
* Ordinary differential equations 7.5 credits
* Dynamic systems and optimal control systems 7.5 credits
* Optimization 7.5 credits
* At least one course at D-level
* Degree project in appled mathematics 30 credits
Optional courses
* Foundations of analysis 7.5 credits
* Algebra III 7.5 credits
* Linear analysis 7.5 credits
* Combinatorics 7.5 credits
* Mathematical economy 7.5 credits
* Integration theory 7.5 credits
* Topology 7.5 credits
* Fourier analysis 7.5 credits
* Algebra IV 7.5 credits
* Galois theory 7.5 credits
* Representation theory for finite and compact groups 7.5 credits
* Analytic functions II 7.5 credits
* Partial differential equations 7.5 credits
* Functional analysis 7.5 credits
* Elementary differential geometry 7.5 credits
* Combinatorics III 7.5 credits
* Number theory 7.5 credits
* Elementary algebraic geometry 7.5 credits
* Chaotic dynamic systems 7.5 credits
* Enumerative combinatorics 7.5 credits
There are more courses in applied mathematics at KTH (Royal Technical High School) and in the Department of Computor science and numerical analysis (Nada) at KTH.
Proposed study plan
Term 1
* Fundations of analysis (August-October)
* Dynamic systems and optimal control systems (obligatory) (August-October)
* Optimization (obligatory) (October-January)
* Linear analysis or Combinatorics II (October-January)
Term 2
* Analytic functions I (obligatory) (January-March)
* Mathematical economy (January-March)
* Algebra III (March-June)
* Ordinary differential equations (obligatory) (March-June)
Term 3
* D-level courses at choice (August-January)
Term 4Degree project (January-June)
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Requirements
A Bachelor’s Degree in Science, with at least 75 ECTS credits in Mathematics, and 15 credits in other mathematics related subjects. English B (Swedish upper secondary school course) or equivalent, or one of the following tests: IELTS: 6.5 (with no section below 5.5). TOEFL (paper based): 575 (with minimum score 4,5 in the written test). TOEFL (internet based): 90 (with minimum score 20 in the written test). University of Cambridge and Oxford: Certificate in Advanced English or Diploma of English Studies.
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 |
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