Structure of Studies
The studies of the master's programme require 120 cr. (credits) of studies, consisting of courses (85 cr.), pro gradu seminar (5 cr.) and the pro gradu thesis (30 cr.).
The programme has four study tracks: Mathematics, Applied mathematics, Statistics, and Social statistics. The study track of the student is determined by the specialization course packet that the student chooses.
Both mathematics study tracks have the same module structure as outlined below. Statistics and social statistics have their own contents.
Mandatory advanced studies in mathematics and applied mathematics
Core courses and background studies (10-25 credits In mathematics).
1.1: Core master level courses. The core courses give an overview for few advanced topics. A student chooses at least two courses: The first course gives background for a possible study track and the second course gives a broader view for another field of mathematics.
The student should at least choose either 10-25 credits from a list of core master level courses. The tentative list of core master level courses:
The chosen courses need to be agreed with a faculty member.
Functional analysis (10 credits)
Real analysis (5 credits)
Probability theory (5 + 5 credits)
Topology II (10 credits)
Mathematical logic (10 credits)
Mathematical modeling (10 credits)
Introduction to mathematical biology (10 credits)
Optional and study track courses:
2.1: Master level courses in mathematics or statistics (10–60 credits)
2.2: Study track master level courses (10–30 credits = 2–6 courses 5 or 10 credits each) from the list of courses recommended by the study track
2.3: Minor discipline courses (0–35 credits = 0–7 courses 5 or 10 credits each)
Pro gradu (30 credits) and pro gradu seminar (5 credits)
Other courses in mathematics and statistics (Earlier this module was called A2: Bachelor level courses) (0–20 credits = 0–4 courses 5 or 10 credits each). These courses provide the required knowledge for the chosen study track. For example, the bachelor level courses in Differential equations (5 + 5 credits) if not taken earlier. The student needs to agree on the suitable bachelor level with a member of the faculty teaching in the master programme.
All specialization can define the core courses that are mandatory or recommended. The recommended specialization courses need to be available at least every second year (recommended every year).The courses from the module B of optional courses can be included in the specialization module C, that is, the courses in module B need to be listed as possible courses in module C in the `OODI-system’.
The students will agree on suitable courses with the representatives of the specialization when their HOPS-plans are made at the time when the students choose the specialization.
Our master's programme has 4 study tracks containing a total of 12 specializations (names of responsible teachers are in brackets):
Mathematics study track:
- analysis (Zhong, Tylli)
geometry, algebra and topology (Pankka)
mathematical logic (Hyttinen, Kennedy)
mathematical physics (Kupiainen, Lukkarinen)
Applied mathematics study track:
applied analysis (Lassas, Ola)
financial and insurance mathematics (Gasbarra, Nyrhinen)
mathematics of imaging (Siltanen, Helin)
mathematical modeling (Gyllenberg, Kisdi)
probabilistic modelling (Honkela, Vanhatalo)
Statistics study track:
statistics (Honkela, Varvio)
Social statistics study track:
social statistics (Vehkalahti, Myrskylä)
The master's programme is required to provide teaching materials in English. In the future the plan is to change the teaching language to English, too. However, the students may answer in exams and write their pro gradu thesis in Finnish, Swedish, or English.