Please note that not all courses found in the degree structure are taught every year. The list of available courses for a new academic year is generally published by the end of June each year.
In the study track of Mathematics, you will choose from three specializations: Mathematical logic, Mathematical biology, and Mathematics, under which you can delve into various subfields.
We offer a science-based specialization especially suitable for research-oriented MSc students of applied mathematics and for all students interested in using mathematical models of real-life phenomena. We focus on biological applications, especially on ecology and evolution, because advanced modelling skills can be acquired through this field with little time required to learn the specifics of the application area. To accomplished and motivated students, we offer publishable projects for the MSc thesis.
We expect a background in mathematics that enables learning mathematical concepts and techniques at a certain rate. For specific knowledge, we recommend BSc courses on differential equations, matrix algebra and probability. In more detail:
Director of the specialization:
Academic mentors of the specialization:
Complete degree structure:
Specialization-specific structure:
Information about personal study planning and guidance in the Master's Programme in Mathematics and Statistics:
(1) The courses of the mathematical biology specialization are offered every second year, so it is important to plan ahead. We maintain a strict schedule of regular courses so that you can plan your studies reliably.
Autumn of even years (e.g. fall 2026): Introduction to mathematical biology I-II, Evolution and the theory of games I-II
Spring of odd years (e.g. spring 2027): Stochastic population models I-II, Spatial models in ecology and evolution
Autumn of odd years (e.g. fall 2027): Mathematical modelling I-II, Mathematics of infectious diseases
Spring of even years (e.g. spring 2028): Adaptive dynamics
(2) Both the Mathematical modelling and the Introduction to mathematical biology courses serve as introductions to this specialization. We recommend these courses to all who are interested in modelling, also to students of other specializations. Parts I of these two courses partially overlap but parts II do not, and you may want to take both.
(3) We encourage learning numerical methods and (bio)statistics, as well as acquiring basic skills in computer programming, during your MSc studies.
(4) Some of our specialization courses are organised by a neighboring programme, Master's Programme in Life Science Informatics (LSI), but are still accepted as part of this specialization.
Model schedule in table format:
The model has a schedule for a Master of Science degree in its entirety (120 cr) according to the mathematics study track and mathematical biology specialization. There are two models: one for students that start on an even-odd academic year, and one for those that start on an odd-even academic year.
The model is an example and a tool for selecting and timing studies. When creating a study plan, it is recommended to personalize by consulting an academic mentor and checking course prerequisites in addition to using this model. In case of teaching schedule changes, the study plan can be adjusted accordingly.
The model focuses on mathematical biology courses, while only selecting courses that are taught regularly. There are some courses that are taught irregularly but are also recommended to students interested in mathematical biology. If such a course is taught, it can be selected instead of a more general course.
Obligatory studies are courses that must be completed to graduate from this study track and specialization. Obligatory studies are marked with an asterisk (*). Optional or alternative studies are studies that can be replaced with something else. Alternative studies are not marked with an asterisk.
MAST300-MATH Mathematics, advanced studies
Under subheading Study track, select Mathematics (MAST-MATH).
Under Specialization, select Mathematical biology (MAST300-MATHBIO).
MAST300-MATHBIO Mathematical biology
Under Core studies, select Mathematical modelling I and Introduction to Mathematical ecology I.
Under Other core studies in mathematical biology, select Mathematical modelling II, Introduction to mathematical ecology II, Evolution and the theory of games I and II, Stochastic population models I and II, Mathematics of infectious diseases I and II, Bifurcation theory, Adaptive dynamics and Stochastic processes. NOTE! Bifurcation theory is usually organised as a literature-based exam.
Under Additional recommended studies..., select Computational methods I.
MAST-ADV-MAST Other advanced studies starting with MAST
No selections.
MAST-ADV-EXT Other advanced studies starting with TCM, LSI and/or DATA
No selections.
MAST350 Other studies in mathematics and statistics
No selections.
MAST340 Other studies
Under Other studies - Optional study units, add Statistical methods in ecology (EEB-003). NOTE! This course is usually organised in Viikki campus.
LSI33006 Introduction to mathematical ecology I (5 cr)
LSI33002 Evolution and the theory of games I (5 cr)
* MAST30101 Measure and integral (5 cr)
* MAST30011 Master's seminar I (2 cr)
LSI33007 Introduction to mathematical ecology II (5 cr)
LSI33008 Evolution and the theory of games II (5 cr)
MAST30166 Stochastic population models I (5 cr)
MAST30146 Computational methods I (5 cr)
EEB-003 Statistical methods in ecology (5 cr)
MAST30167 Stochastic population models II (5 cr)
MAST30156 Bifurcation theory (5 cr)
MAST30163 Mathematical modelling I (5 cr)
MAST32020 Stochastic processes (5 cr)
MAST31511 Mathematics of infectious diseases I (5 cr)
MAST30164 Mathematical modelling II (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
MAST31512 Mathematics of infectious diseases II (5 cr)
* MAST30012 Master's seminar II (3 cr)
MAST31505 Adaptive dynamics (10 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST31505 Adaptive dynamics (10 cr, continues)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST30163 Mathematical modelling I (5 cr)
MAST31511 Mathematics of infectious diseases I (5 cr)
* MAST30101 Measure and integral (5 cr)
* MAST30011 Master's seminar I (2 cr)
MAST30164 Mathematical modelling II (5 cr)
MAST31512 Mathematics of infectious diseases II (5 cr)
MAST31505 Adaptive dynamics (10 cr)
MAST30146 Computational methods I (5 cr)
EEB-003 Statistical methods in ecology (5 cr)
MAST31505 Adaptive dynamics (10 cr, continues)
MAST30156 Bifurcation theory (5 cr)
LSI33006 Introduction to mathematical ecology I (5 cr)
MAST32020 Stochastic processes (5 cr)
LSI33002 Evolution and the theory of games I (5 cr)
LSI33007 Introduction to mathematical ecology II (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
LSI33008 Evolution and the theory of games II (5 cr)
* MAST30012 Master's seminar II (3 cr)
MAST30166 Stochastic population models I (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST30167 Stochastic population models II (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
What's your name, what are you studying and where are you from?
Hi! I’m Arushi! I’m from New Delhi, India and I study in the Master’s Programme in Mathematics and Statistics, specializing in Mathematical Biology.
How did you end up studying Mathematical Biology at the University of Helsinki and why?
I’ve always been fascinated by both numbers and biology. During my bachelor’s degree in India, I double majored in Applied Mathematics and Environmental Studies. I wanted to ensure that I was able to combine both those majors of mine into one, so UH Mathematical Biology programme was perfect for me. It was my top choice, and here I am almost two years later.
What kind of practical advice you would give to new international students moving to Helsinki soon?
Explore! Whether it is academically or otherwise, make sure that you do not tie yourselves down to goals you had set before moving to Helsinki. The university offers so much freedom to indulge in one’s other academic interests. Very early on into my degree, I started taking courses from other programmes and that has not only kept me mentally engaged, but has also improved my future job prospects.
What is your favourite thing about summer?
How incredibly long the days are! For a certain period in June, there was never a time where there was total darkness outside. It felt like I had more time to do all the things I wish I could do in a single day – study, spend time with friends, and cook delicious meals – without feeling like it was time to go to bed already.
What is your favourite place to study in your campus?
Kumpula campus is great for those studying mathematics. I love to sit and ponder over homework problems at the study spaces on the third floor. There are desks that you can scribble on, take down your work, and then erase! It makes the whole process of finishing homework more interesting.
Director of the specialization:
Academic mentors of the specialization:
Complete degree structure:
Specialization-specific structure:
Information about personal study planning and guidance in the Master's Programme in Mathematics and Statistics:
Model schedule in table format:
The model has a schedule for a Master of Science degree in its entirety (120 cr) according to the mathematics study track and mathematical logic specialization. There are two models: one for students that start on an even-odd academic year, and one for those that start on an odd-even academic year.
The model is an example and a tool for selecting and timing studies. When creating a study plan, it is recommended to personalize by consulting an academic mentor and checking course prerequisites in addition to using this model. In case of teaching schedule changes, the study plan can be adjusted accordingly.
The model focuses on mathematical logic courses, while only selecting courses that are taught regularly. There are many more courses that are taught irregularly but are also recommended to students interested in mathematical logic. If such a course is taught, it can be selected instead of a more general course.
Obligatory studies are courses that must be completed to graduate from this study track and specialization. Obligatory studies are marked with an asterisk (*). Optional or alternative studies are studies that can be replaced with something else. Alternative studies are not marked with an asterisk.
MAST300-MATH Mathematics, advanced studies
Under subheading Study track, select Mathematics (MAST-MATH).
Under Optional, select History of mathematics.
Under Specialization, select Mathematical logic (MAST300-MATHLOGIC).
MAST300-MATHLOGIC Mathematical logic
If starting on an even-odd academic year: under Core studies in mathematical logic, select either Axiomatic set theory I/II or Computability theory I/II, not both, to have time for thesis work on your second year, and then select all other 6 courses in the list.
If starting on an odd-even academic year: under Core studies in mathematical logic, select all 10 courses.
Under Additional recommended studies in mathematical logic, select Introduction to continuous logic or Introduction to quantum computation. NOTE! These courses are organised as literature-based exams.
MAST-ADV-MAST Other advanced studies starting with MAST
Under subheading Other advanced studies, select Other advanced studies starting with MAST (MAST-ADV-MAST).
Under Other advanced studies starting with MAST, add Algebra IIa/IIb or Topology IIa/IIb.
MAST-ADV-EXT Other advanced studies starting with TCM, LSI and/or DATA
No selections.
MAST350 Other studies in mathematics and statistics
No selections.
MAST340 Other studies
If starting on an even-odd academic year: under Other studies - Optional study units, add Elements of set theory I and II.
* MAST30201 Mathematical logic I (5 cr)
MAST30213 Finite model theory I (5 cr)
MAST30301 Algebra IIa (5 cr) / MAST30303 Topology IIa (5 cr)
* MAST30011 Master's seminar I (2 cr)
* MAST30202 Mathematical logic II (5 cr)
MAST30214 Finite model theory II (5 cr)
MAST30302 Algebra IIb (5 cr) / MAST30304 Topology IIb (5 cr)
MAST31901 History of mathematics (5 cr)
MAST30211 Model theory I (5 cr)
MAT21031 Elements of set theory I (5 cr)
MAST31901 History of mathematics (5 cr, continues)
MAST30212 Model theory II (5 cr)
MAT21030 Elements of set theory II (5 cr)
MAST30205 Dependence logic I (5 cr)
MAST31215 Introduction to continuous logic (5 cr) (book exam)
* MAST30101 Measure and integral (5 cr)
MAST30206 Dependence logic II (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
* MAST30012 Master's seminar II (3 cr)
MAST30207 Axiomatic set theory I (5 cr) / MAST30203 Computability theory I (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST30208 Axiomatic set theory II (5 cr) / MAST30204 Computability theory II (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
* MAST30201 Mathematical logic I (5 cr)
MAST30205 Dependence logic I (5 cr)
MAST30301 Algebra IIa (5 cr) / MAST30303 Topology IIa (5 cr)
* MAST30011 Master's seminar I (2 cr)
* MAST30202 Mathematical logic II (5 cr)
MAST30206 Dependence logic II (5 cr)
MAST30302 Algebra IIb (5 cr) / MAST30304 Topology IIb (5 cr)
MAST30207 Axiomatic set theory I (5 cr)
MAST30203 Computability theory I (5 cr)
MAST31901 History of mathematics (5 cr)
MAST30208 Axiomatic set theory II (5 cr)
MAST30204 Computability theory II (5 cr)
MAST31901 History of mathematics (5 cr, continues)
MAST30213 Finite model theory I (5 cr)
MAST31215 Introduction to continuous logic (5 cr) (book exam)
* MAST30101 Measure and integral (5 cr)
MAST30214 Finite model theory II (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
* MAST30012 Master's seminar II (3 cr)
MAST30211 Model theory I (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST30212 Model theory II (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
Director of the specialization:
Academic mentor of the specialization:
Complete degree structure:
Specialization-specific structure:
Information about personal study planning and guidance in the Master's Programme in Mathematics and Statistics:
Model schedule I (focus on analysis, probability, and inverse problems) in table format:
Model schedule II (focus on geometry, algebra and topology) in table format:
The model has a schedule for a Master of Science degree in its entirety (120 cr) according to the mathematics study track and mathematics specialization.
The model is an example and a tool for selecting and timing studies. When creating a study plan, it is recommended to personalize by consulting an academic mentor and checking course prerequisites in addition to using this model. In case of teaching schedule changes, the study plan can be adjusted accordingly.
The model focuses on analysis, probability, and inverse problems courses, while only selecting courses that are taught regularly. There are other courses that are taught irregularly but are also recommended to students interested in these topics. If such a course is taught, it can be selected instead of a more general course.
Obligatory studies are courses that must be completed to graduate from this study track and specialization. Obligatory studies are marked with an asterisk (*). Optional or alternative studies are studies that can be replaced with something else. Alternative studies are not marked with an asterisk.
MAST300-MATH Mathematics, advanced studies
Under subheading Study track, select Mathematics (MAST-MATH).
Under Optional, select Case studies in mathematics and statistics and History of mathematics.
Under Specialization, select Mathematics (MAST300-MATHSPEC).
MAST300-MATHSPEC Mathematics
Under Core studies: Studies in analysis, select Functional analysis II, Partial differential equations I and II.
Under Core studies: Studies in mathematical physics and probability, select Probability theory, Stochastic analysis I and II, and Stochastic processes.
Under Core studies: Studies in inverse problems and imaging, select Inverse problems I, Inverse problems II, and Computational methods I.
MAST-ADV-MAST Other advanced studies starting with MAST
No selections.
MAST-ADV-EXT Other advanced studies starting with TCM, LSI and/or DATA
No selections.
MAST350 Other studies in mathematics and statistics
Under Optional, select MAT21043 Introduction to complex analysis. NOTE! The course is taught in Finnish, but it can be completed in English. As this course is optional, it can also be replaced with something taught in English.
MAST340 Other studies
No selections.
* MAST30011 Master's seminar I (2 cr)
* MAST30101 Measure and integral (5 cr)
* MAST30170 Functional analysis I (5 cr)
MAST30157 Case studies in mathematics and statistics (5 cr)
* MAST30174 Introduction to Fourier analysis (5 cr)
* MAST31051 Measure, probability, and real analysis (5 cr)
MAST30171 Functional analysis II (5 cr)
MAST30157 Case studies in mathematics and statistics (5 cr, continues)
MAST30172 Partial differential equations I (5 cr)
MAST30152 Probability theory (5 cr)
MAST31901 History of mathematics (5 cr)
MAST30173 Partial differential equations II (5 cr)
MAT21043 Introduction to complex analysis (5 cr)
MAST31901 History of mathematics (5 cr, continues)
MAST32020 Stochastic processes (5 cr)
MAST31706 Stochastic analysis I (5 cr)
MAST31401 Inverse problems I (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
MAST31710 Stochastic analysis II (5 cr)
MAST31406 Inverse problems II (5 cr)
* MAST30012 Master's seminar II (3 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST30146 Computational methods I (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST300-MATH Mathematics, advanced studies
Under subheading Study track, select Mathematics (MAST-MATH).
Under Optional, select History of mathematics.
Under Specialization, select Mathematics (MAST300-MATHSPEC).
MAST300-MATHSPEC Mathematics
Under Core studies: Studies in analysis, select Partial differential equations I and II.
Under Core studies: Studies in geometry, algebra and topology, select Algebra IIa and IIb, Topology IIa and IIb, Introduction to differential geometry, Introduction to Riemannian geometry
Under Core studies: Studies in inverse problems and imaging, select Inverse problems I and II.
MAST-ADV-MAST Other advanced studies starting with MAST
No selections.
MAST-ADV-EXT Other advanced studies starting with TCM, LSI and/or DATA
No selections.
MAST350 Other studies in mathematics and statistics
No selections.
MAST340 Other studies
Under Other studies - Optional study units, add Geometry I and II (MFK-M301 and M302). NOTE! The courses are taught in Finnish, but can be completed in English. As these courses are optional, they can also be replaced with something taught in English.
* MAST30170 Functional analysis I (5 cr)
* MAST30101 Measure and integral (5 cr)
MAST30303 Topology IIa (5 cr)
* MAST30011 Master's seminar I (2 cr)
* MAST30174 Introduction to Fourier analysis (5 cr)
* MAST31051 Measure, probability, and real analysis (5 cr)
MAST30304 Topology IIb (5 cr)
MFK-M301 Geometry I (5 cr)
MAST30172 Partial differential equations I (5 cr)
MAST30310 Introduction to differential geometry (5 cr)
MFK-M302 Geometry II (5 cr)
MAST30173 Partial differential equations II (5 cr)
MAST30310 Introduction to Riemannian geometry (5 cr)
MAST30301 Algebra IIa (5 cr)
MAST31401 Inverse problems I: convolution and deconvolution (5 cr)
MAST30302 Algebra IIb (5 cr)
MAST31406 Inverse problems II: tomography and regularization (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
* MAST30012 Master's seminar II (3 cr)
MAST31901 History of mathematics (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST31901 History of mathematics (5 cr, continues)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
In this study track, you will learn about insurance, finance, risk management, and related topics.
Director of the specialization:
Academic mentors of the specialization:
Complete degree structure:
Specialization-specific structure:
Information about personal study planning and guidance in the Master's Programme in Mathematics and Statistics:
At the beginning of your studies, you will create a personal study plan with the help of an academic mentor and model schedule below.
Apart from the required core and specialization courses, you can select any advanced courses from all other specializations in mathematics and statistics. It is also possible to include courses from different master’s programs such as economics or computer science if they have sufficient mathematical content.
Most of the courses in insurance and financial mathematics make extensive use of probability theory. This is why the courses on probability theory should be at the beginning of the studies. The mandatory core courses in probability theory are available every year.
The courses in insurance mathematics follow approximately a two-year cycle. All courses are not lectured every year. The courses can be completed in any order after, or at the same time with, probability theory. Courses on mathematical finance and stochastic analysis are lectured every year.
Some of the courses in insurance mathematics are required for the Finnish actuarial qualification degree. Students who aim for this additional degree after the master’s studies may need to fulfil additional requirements. Requirements for the actuarial qualification degree can be found (in Finnish) from
It is recommended to include the following courses or similar contents into bachelor's studies:
These courses are also suitable as optional studies in the master’s degree. In addition, it is recommended to take a course on stochastic processes such as
Statistics courses support the learning of financial and insurance mathematics. In particular, courses on generalized linear models, time series analysis, econometrics and computational statistics are suitable for a mathematician working in the field of insurance and finance.
Theoretical studies can be complemented by more practical studies. Case studies in insurance mathematics
Master’s students of mathematics and statistics can take selected courses from Aalto University in mathematical risk management via RiskEd network. The available courses are:
TU-E2211 Financial Risk Management with Derivatives 1 (5 cr)
TU-E2221 Financial Risk Management with Derivatives 2 (5 cr)
TU-E2231 Machine Learning in Financial Risk Management (5 cr)
MS-E2114 Investment Science (5 cr)
Additional information about the courses is available on
It is possible to register for the courses in the Sisu system. Instructions for self-registration can be found on
There is a mailing list for students who wish to receive news concerning courses of insurance and financial mathematics. The list also has occasional job announcements. The name of the list is:
finins-students
You can find the instructions on subscribing and unsubscribing a mailing list from
University of Helsinki courses
Aalto university courses via RiskEd network
TU-E2211 Financial Risk Management with Derivatives 1 (5 cr)
TU-E2221 Financial Risk Management with Derivatives 2 (5 cr)
TU-E2231 Machine Learning in Financial Risk Management (5 cr)
MS-E2114 Investment Science (5 cr)
Model schedule in table format:
The model has a schedule for a Master of Science degree in its entirety (120 cr) according to the insurance and financial mathematics study track. There are two models: one for students that start on an even-odd academic year, and one for those that start on an odd-even academic year.
The model is an example and a tool for selecting and timing studies. When creating a study plan, it is recommended to personalize by consulting an academic mentor and checking course prerequisites in addition to using this model. In case of teaching schedule changes, the study plan can be adjusted accordingly.
The model focuses on insurance and financial mathematics courses, while only selecting courses that are taught regularly. There are other courses that are taught irregularly but are also recommended to students interested in these topics. If such a course is taught, it can be selected instead of a more general course.
Obligatory studies are courses that must be completed to graduate from this study track and specialization. Obligatory studies are marked with an asterisk (*). Optional or alternative studies are studies that can be replaced with something else. Alternative studies are not marked with an asterisk.
MAST310-FIN Insurance and financial mathematics, advanced studies
Under subheading Study track, select Insurance and financial mathematics (MAST-FIN).
Under Core studies - Studies in insurance and financial mathematics, select Measure and integral, Career seminar in insurance mathematics, Case studies in insurance mathematics, Stochastic analysis I and II, Risk theory, Advanced risk theory,
Tariff theory, Financial economics I and II, Life insurance mathematics I and II and Stochastic processes.
MAST-ADV-MAST Other advanced studies starting with MAST
No selections.
MAST-ADV-EXT Other advanced studies starting with TCM, LSI and/or DATA
Under subheading Other advanced studies, select Other advanced studies starting with TCM, LSI and/or DATA (MAST-ADV-EXT)
Under Other advanced studies starting with TCM, LSI and/or DATA, add Data Science (DATA11001).
MAST350 Other studies in mathematics and statistics
No selections.
MAST340 Other studies
No selections.
MAST30155 Case studies in insurance mathematics (5 cr)
MAST30101 Measure and integral (5 cr)
MAST31807 Financial economics I (5 cr)
MAST32020 Stochastic processes (5 cr)
* MAST30011 Master's seminar I (2 cr)
MAST30155 Case studies in insurance mathematics (5 cr, continues)
* MAST31051 Measure, probability and real analysis (5 cr)
MAST31808 Financial economics II (5 cr)
MAST30154 Career seminar in insurance mathematics (5 cr)
* MAST31052 Probability theory (5 cr)
MAST31911 Life insurance mathematics I (5 cr)
MAST30154 Career seminar in insurance mathematics (5 cr, continues)
MAST31912 Life insurance mathematics II (5 cr)
MAST31802 Risk theory (10 cr)
MAST31706 Stochastic analysis I (5 cr)
DATA11001 Data Science (5 cr)
MAST31802 Risk theory (10 cr, continues)
MAST31710 Stochastic analysis II (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
* MAST30012 Master's seminar II (3 cr)
MAST31806 Advanced risk theory (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST31804 Tariff theory (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST30155 Case studies in insurance mathematics (5 cr)
MAST30101 Measure and integral (5 cr)
MAST31802 Risk theory (10 cr)
MAST32020 Stochastic processes (5 cr)
* MAST30011 Master's seminar I (2 cr)
MAST30155 Case studies in insurance mathematics (5 cr, continues)
* MAST31051 Measure, probability and real analysis (5 cr)
MAST31802 Risk theory (10 cr, continues)
MAST30154 Career seminar in insurance mathematics (5 cr)
* MAST31052 Probability theory (5 cr)
MAST31806 Advanced risk theory (5 cr)
MAST30154 Career seminar in insurance mathematics (5 cr, continues)
MAST31804 Tariff theory (5 cr)
MAST31807 Financial economics I (5 cr)
MAST31706 Stochastic analysis I (5 cr)
DATA11001 Data Science (5 cr)
MAST31808 Financial economics II (5 cr)
MAST31710 Stochastic analysis II (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
* MAST30012 Master's seminar II (3 cr)
MAST31911 Life insurance mathematics I (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST31912 Life insurance mathematics II (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
"The focus is on problems motivated by real life, rather than theoretical questions", says the Director of the Specialization, Jaakko Lehtomaa.
In this study track, you will delve deeper into various topics in statistics and understand its relevance to society.
Director of the specialization:
Academic mentor of the specialization:
Complete degree structure:
Specialization-specific structure:
Information about personal study planning and guidance in the Master's Programme in Mathematics and Statistics:
The model has a schedule for a Master of Science degree in its entirety (120 cr) according to the statistics study track. There are two models: one for students that start on an even-odd academic year, and one for those that start on an odd-even academic year.
The model is an example and a tool for selecting and timing studies. When creating a study plan, it is recommended to personalize by consulting an academic mentor and checking course prerequisites in addition to using this model. In case of teaching schedule changes, the study plan can be adjusted accordingly.
The model focuses on statistics courses, while only selecting courses that are taught regularly. There are other courses that are taught irregularly but are also recommended to students interested in statistics. If such a course is taught, it can be selected instead of a more general course.
Obligatory studies are courses that must be completed to graduate from this study track and specialization. Obligatory studies are marked with an asterisk (*). Optional or alternative studies are studies that can be replaced with something else. Alternative studies are not marked with an asterisk.
MAST320-STAT Statistics, advanced studies
Under subheading Study track, select Statistics (MAST-STAT).
Under Core studies in statistics, select Measure and integral, Measure, probability and real analysis, Statistical decision theory, Stochastic analysis I, Computational statistics, Advanced Bayesian Inference, Stochastic processes and Robust regression.
Under Core studies in statistics, if starting studies on an even year, also select Nonparametric inference, and also select High-dimensional statistics or Asymptotic statistical inference.
Under Core studies in statistics, if starting studies on an odd year, also select Multivariate statistical analysis, and also select High-dimensional statistics or Asymptotic statistical inference.
Under Additional recommended studies in statistics, select Design and analysis of experiments and surveys, Bayesian inversion, Survival analysis and Multistate models for event history.
Under Additional recommended studies in statistics, if you have not completed Bayesian inference during your bachelor studies, also select Bayesian Data Analysis, to be able to complete Advanced Bayesian inference later.
If you do not have to select Bayesian Data analysis, select any other course.
MAST-ADV-MAST Other advanced studies starting with MAST
Under subheading Other advanced studies, select Other advanced studies starting with MAST (MAST-ADV-MAST).
Under Other advanced studies starting with MAST, add Computational methods I (MAST30146).
MAST-ADV-EXT Other advanced studies starting with TCM, LSI and/or DATA
Under subheading Other advanced studies, select Other advanced studies starting with TCM, LSI and/or DATA (MAST-ADV-EXT)
Under Other advanced studies starting with TCM, LSI and/or DATA, add Data Science (DATA11001).
MAST350 Other studies in mathematics and statistics
No selections.
MAST340 Other studies
No selections.
MAST30101 Measure and integral (5 cr)
MAST32001 Computational statistics (5 cr)
MAST32020 Stochastic processes (5 cr)
* MAST30011 Master's seminar I (2 cr)
MAST31051 Measure, probability and real analysis (5 cr)
LSI35002 Bayesian Data analysis (5 cr) or alternative
MAST32017 Nonparametric inference (5 cr)
MAST30165 Statistical decision theory (5 cr)
MAST30146 Computational methods I (5 cr)
MAST30210 Design and analysis of experiments and surveys (5 cr) [January intensive, not period 3]
MAST31402 Bayesian inversion (5 cr)
MAST32004 Advanced Bayesian inference
MAST33004 Robust regression (5 cr)
MAST31706 Stochastic analysis I (5 cr)
DATA11001 Data Science (5 cr)
MAST32012 Survival analysis (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
* MAST30012 Master's seminar II (3 cr)
MAST32006 High-dimensional statistics (5 cr) / MAST30128 Asymptotic statistical inference (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST32013 Multistate models for event history (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST30101 Measure and integral (5 cr)
MAST32001 Computational statistics (5 cr)
MAST32020 Stochastic processes (5 cr)
* MAST30011 Master's seminar I (2 cr)
MAST31051 Measure, probability and real analysis (5 cr)
LSI35002 Bayesian Data analysis (5 cr) or alternative
MAST32012 Survival analysis (5 cr)
MAST32006 High-dimensional statistics (5 cr) / MAST30128 Asymptotic statistical inference (5 cr)
MAST30146 Computational methods I (5 cr)
MAST30210 Design and analysis of experiments and surveys (5 cr) [January intensive, not period 3]
MAST32013 Multistate models for event history (5 cr)
MAST32004 Advanced Bayesian inference
MAST33004 Robust regression (5 cr)
MAST31706 Stochastic analysis I (5 cr)
DATA11001 Data Science (5 cr)
MAST33021 Multivariate statistical analysis (5 cr)
* MAST30000 Master's thesis (30 cr) and MAST30002 Maturity test (0 cr)
* MAST30012 Master's seminar II (3 cr)
MAST30165 Statistical decision theory (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
MAST31402 Bayesian inversion (5 cr)
* MAST30000 Master's thesis (30 cr, continues) and MAST30002 Maturity test (0 cr, continues)
Statistics goes through all parts of science, culture, and nature. The deeper you go, the more complex and interesting problems you encounter, says the Director of the Specialization, Petteri Piiroinen.