Structure, study tracks and specializations
The scope of the Master's Programme in Mathematics and Statistics is 120 credits (ECTS).
The programme includes four study tracks: mathematics, applied mathematics, statistics and social statistics. The study tracks have specializations:
Mathematics:
- analysis
- geometry
- algebra and topology
- mathematical logic and mathematical physics
Applied mathematics:
- applied analysis
- mathematical modelling
- mathematics of imaging
- stochastics
- insurance and financial mathematics
- probabilistic modelling
Statistics:
Social statistics:
Programme structure: mathematics and applied mathematics
Master's degree in mathematics or applied mathematics 120 cr
Mandatory advanced studies in mathematics and applied mathematics 85-120 cr:
Core courses at least 10 cr
- Specializations define one or more mandatory core courses from the list of courses.
Specialization course packages
- Specializations define at least 10 cr obligatory courses from their course packages, in addition to at least 10 cr core courses.
- Other advanced courses - as agreed in PSP/HOPS - from specialization course packages.
- More core courses and/or specialization courses from other specialization course packages.
- Advanced courses from other programmes.
- The content of specialization studies will be agreed in personal study plans.
Master's thesis 30 cr
Master's thesis seminar 5 cr
Other studies
- Courses and/or modules from other programmes. The courses and/or modules can be bachelor level ones.
- Bachelor's level courses in mathematics as agreed in personal study plan. Requirements of these courses depend on the content of BCs-degree studies.
Personal study plan PSP/HOPS: Contact specialization director when you start your studies.
Mathematics and applied mathematics core courses and specialisations
- Core courses
MAST31001 Real analysis I (5 cr)
MAST31002 Functional analysis (10 cr)
MAST31003 Topology II (10 cr)
MAST31201 Mathematical logic (10 cr)
MAST31701 Probability theory I (5 cr)
MAST31702 Probability theory II (5 cr)
MAST31501 Mathematical modelling (10 cr) or LSI33006 Introduction to mathematical biology I (5 cr) and LSI33007 Introduction to mathematical biology II (5 cr)
- Specializations in mathematics study track
MAST310 Analysis
MAST311 Geometry, Algebra and Topology
MAST312 Mathematical logic
MAST313 Mathematical Physics
- Specializations in applied mathematics study track
MAST314 Applied analysis
MAST315 Mathematical modelling
MAST316 Mathematics of Imaging
MAST317 Stochastics
MAST318 Insurance and Financial Mathematics
MAST319 Probability modelling
Personal study plan form for Mathematics and Applied Mathematics
Personal Study Plan
Analysis
Directors of the specialization: Hans-Olav Tylli and Xiao Zhong.
Geometry, algebra and topology
Director of the specialization: Erik Elfving.
Mathematical logic
Director of the specialization: Juha Kontinen
Mathematical physics
Directors of the specialization: Antti Kupiainen and Jani Lukkarinen
Applied analysis
Directors of the specialization: Matti Lassas and Petri Ola
Mathematics of imaging
Directors of the specialization: Tapio Helin and Samuli Siltanen
Mathematical modelling
Directors of the specialization: Mats Gyllenberg and Eva Kisdi
Stochastics
Director of the specialization: Konstantin Izyurov
Insurance and financial mathematics
Directors of the specialization: Jaakko Lehtomaa and Dario Gasbarra
Probabilistic modelling
Director of the specialization: Jarno Vanhatalo
Programme structure: statistics and social statistics
Master's degree in statistics or social statistics 120 cr
Mandatory advanced studies in statistics or social statistics 85-120 cr
Advanced courses 50-85 cr
- Both study tracks, statistics and social statistics have one mandatory course 5 cr.
- Other advanced courses - as agdreed in PSP/HOPS - from:
- statistics and/or social statistics courses,
- mathematics and/or applied mathematics courses,
- and/or advanced courses from other Master's programmes
Master's thesis 30 cr
Master's thesis seminar 5 cr
Other studies 0-35 cr
- Courses and/or modules from other programmes. The courses and modules can be bachelor level ones.
- Bachelor's level courses statistics and/or mathematics as agreed in personal study plan. Requirements of these courses depend on the content of BSc-degree studies.
Personal study plan PSP/HOPS: Contact specialization director when you start your studies.
Statistics
Directors of the statistics study track: Petteri Piiroinen, Jarno Vanhatalo and Sangita Kulathinal
Social statistics
Directors of the social statistics study track: Mikko Myrskylä and Kimmo Vehkalahti