Structure, study tracks and specializations

The programme includes three study tracks: mathematics, applied mathematics and statistics. The study tracks have specializations:

From academic year 2023-2024 onwards:

Mathematics:

• Analysis
• Mathematical logic
• Geometry, algebra and topology
• Mathematical Physics and Probability

Applied mathematics:

• Inverse Problems and Imaging
• Mathematical biology
• Insurance and financial mathematics

Statistics:

• Statistics

Master's degree in mathematics or applied mathematics 120 cr

Updated structure for 2023-2026 in Student's instructions

Old structure:

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.

• 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

Directors of the specialization: Hans-Olav Tylli and Xiao Zhong.

Director of the specialization: Erik Elfving.

Director of the specialization: Juha Kontinen

Directors of the specialization: Antti Kupiainen and Jani Lukkarinen

Directors of the specialization: Matti Lassas and Petri Ola

Directors of the specialization: Tapio Helin and Samuli Siltanen

Directors of the specialization: Mats Gyllenberg and Eva Kisdi

Director of the specialization: Konstantin Izyurov

Directors of the specialization: Jaakko Lehtomaa and Dario Gasbarra

Director of the specialization: Jarno Vanhatalo

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.

Directors of the statistics study track: Petteri Piiroinen and Sangita Kulathinal

Directors of the social statistics study track: Mikko Myrskylä and Kimmo Vehkalahti