Course selection in mathematics and statistics

This page contains courses in mathematics and statistics that are taught during the current or upcoming academic year.
Please note that the contents of this page are based on preliminary information. If you are interested in a specific course's schedule, for example, you can read more about it through the page's links or Sisu.
General instructions

This page only contains basic, intermediate and advanced studies in mathematics and statistics. So, the page does not include all mandatory courses required for graduation, such as courses in communication, digital skills, academic skills and professional skills.

The course names are listed in the language of instruction. Note that you may be able to complete the course in a different language than the language of instruction. You can read more about languages of completion the .

In addition to the course lists below, you can search for courses in:

  • Sisu
Exams

The course lists below only include implementations with teaching (such as lecture courses and online courses). You can browse exams in:

  • , when you select the "Also show exams" option

Please note that if an exam is not yet available for the course code that interests you, you can negotiate a potential exam, its date and format with a teacher.
You can inquire about an exam possibility from:

  • the teacher who last taught the course's contents
  • the responsible teacher for the course.

Almost all courses at the department of mathematics and statistics can be completed by an exam.
The main exam formats are:

  • .

General examinations are paper exams organised in a certain place at a certain time. In academic year 2025-2026, the general examination dates are 17.9., 12.11., 10.12., 14.1., 11.2., 25.3., 15.4., 20.5. ja 17.6.
Regarding an examinarium exam, you can book your own exam date and a place for the electronic exam through the .
Course offering

Basic studies in mathematics

Studies organised by the Bachelor's Programme in Mathematical Sciences
  • Johdatus yliopistomatematiikkaan 5 op
  • Inledning till universitetsmatematik 5 op
  • Lineaarialgebra ja matriisilaskenta I 5 op
  • Raja-arvot 5 op
  • Gränsvärden 5 op
  • Differentiaalilaskenta 5 op
  • Differentialkalkyl 5 op
  • Calculus IA: Limits and differentiation 5 op
  • Calculus IB: Integration 5 op
Studies organised by the Bachelor's Programme in Science
  • Linear algebra and complex numbers 5 op
    (equivalent to MAT11002 Lineaarialgebra ja matriisilaskenta I 5 op)
  • Calculus IA: Limits and differentiation 5 op
    (equivalent to MAT11006 samalla nimellä)
  • Introduction to vector analysis 5 op
    (no equivalence)

Intermediate studies in mathematics

Studies organised by the Bachelor's Programme in Mathematical Sciences
  • Optimoinnin perusteet 5 op
  • Sannolikhetslära I
  • Vektorianalyysi I 5 op
  • Vektorianalyysi II 5 op
  • Matematiikan proseminaari 2 op
  • Mitta ja integraali 5 op
  • Matematiikan kandiseminaari 2 op
  • Johdatus logiikkaan I 5 op
  • Johdatus logiikkaan II 5 op
  • Todennäköisyyslaskenta IIa 5 op
  • Todennäköisyyslaskenta IIb 5 op
  • Stokastiset prosessit 5 op
Studies organised by the Bachelor's Programme for Teachers of Mathematics, Physics and Chemistry
  • Matemaattinen ongelmanratkaisu 5 op
  • Johdatus lukuteoriaan ja sen sovelluksiin 5 op

Basic studies in mathematics

Studies organised by the Bachelor's Programme in Mathematical Sciences
  • Johdatus yliopistomatematiikkaan 5 op
  • Integraalilaskenta 5 op
  • Integralkalkyl 5 op
  • Advanced calculus 5 op
Studies organised by the Bachelor's Programme in Science
  • Calculus IB: Integration 5 op
    (equivalent to MAT11007 with the same name)
  • Advanced Calculus 5 op
    (equivalent to MAT11008 with the same name)

Intermediate studies in mathematics

Studies organised by the Bachelor's Programme in Mathematical Sciences
  • Koneoppimisen matematiikan perusteet I 5 op
  • Koneoppimisen matematiikan perusteet II 5 op
  • Todennäköisyyslaskenta I 5 op
  • Lineaarialgebra ja matriisilaskenta II 5 op
  • Lineaarialgebra ja matriisilaskenta III 5 op
  • Sarjat 5 op
  • Serier 5 op
  • Series 5 op
  • Matematiikan proseminaari 2 op
  • Topologia IA 5 op
  • Topologia IB 5 op
  • Matematiikan kandiseminaari 2 op
  • Algebralliset rakenteet I 5 op
  • Algebralliset rakenteet II 5 op
  • Differentiaaliyhtälöt I 5 op
  • Differentiaaliyhtälöt II 5 op
  • Introduction to Logic I 5 op
  • Introduction to Logic II 5 op
  • Matriisilaskennan sovelluksia 5 op
  • Johdatus lukuteoriaan II 5 op
Studies organised by the Bachelor's Programme for Teachers of Mathematics, Physics and Chemistry
  • Matemaattinen ongelmanratkaisu 5 op
  • Geometria I 5 op
  • Geometria II 5 op
Studies organised by the Bachelor's Programme in Science
  • Probability Calculus I 5 op
    (equivalent to MAT12003 Todennäköisyyslaskenta I)
  • Linear algebra and matrices II 5 op
    (equivalent to MAT21001 Lineaarialgebra ja matriisilaskenta II)
  • Measure and integration 5 op
    (equivalent to MAT21007 Mitta ja integraali)
  • Differential Equations 5 op
    (equivalent to MAT21012 Differentiaaliyhtälöt I)

Basic studies in mathematics

  • Lineaarialgebra ja matriisilaskenta I 5 op

Intermediate studies in mathematics

  • Todennäköisyyslaskenta I 5 op
  • Lineaarialgebra ja matriisilaskenta II 5 op

Basic studies in statistics

  • Tilastotiede ja R tutuksi I 5 op
  • Tilastotiede ja R tutuksi II 5 op
  • Sannolikhetslära I

Intermediate studies in statistics

  • Todennäköisyyslaskenta IIa 5 op
  • Todennäköisyyslaskenta IIb 5 op
  • Yleistetyt lineaariset mallit 5 op
  • Lineaariset mallit II 5 op
  • Tilastotieteen juuret 5 op
  • Tilastotieteen työkenttä 5 op
  • Tilastollinen päättely IIa 5 op
  • Stokastiset prosessit 5 op
  • Tilastotieteen seminaari 2 op
     
  • Bayesian Data Analysis 5 op
    (vastaa kurssia MAT22005 Bayesian Inference)

 

Basic studies in statistics

Studies organised by the Bachelor's Programme in Mathematical Sciences
  • Tilastotiede ja R tutuksi I 5 op
  • Todennäköisyyslaskenta I 5 op
  • Tilastollinen päättely I 5 op

Studies organised by the Bachelor's Programme in Science
  • Probability Calculus I 5 op
    (equivalent to MAT12003 Todennäköisyyslaskenta I)

Intermediate studies in statistics

  • Lineaariset mallit I 5 op
  • Bayesian inference 5 op
  • Tilastotieteen juuret 5 op
  • Tilastotieteen työkenttä 5 op
  • Tilastollinen päättely IIb 5 op
  • Tilastotieteen seminaari 2 op

Basic studies in statistics

  • Todennäköisyyslaskenta I 5 op
  • Tilastotiede ja R tutuksi I 5 op
  • Tilastotiede ja R tutuksi II 5 op
  • Data-analyysin projekti 5 op

The courses in this list have been sorted under related specializations. Please note that students in one specialization can study courses that are listed under other specializations!

  • Case Studies in Mathematics and Statistics 5 op
  • Master's studies seminar I 2 op
  • Master's studies seminar II 3 op

Analysis

  • Introduction to Real and Fourier Analysis 5 op
  • Functional analysis I 5 op
  • Functional Analysis II 5 op

Mathematical Logic

  • Mathematical logic 10 op
  • Dependence logic 10 op

Geometry, Algebra and Topology

  • Topology II 10 op
  • Algebra II 10 op
  • Riemannian geometry 10 op

Mathematical Physics and Probability

  • Probability theory I 5 op
  • Probability theory II 5 op
  • Stochastic analysis I 5 op
  • Stochastic analysis II 5 op
     
  • Open Quantum Systems I 5 op
  •  Open Quantum Systems II 5op

Inverse Problems and Imaging

  • Inverse Problems 1: convolution and deconvolution 5 op
  • Inverse Problems 2: tomography and regularization 5 op

Mathematical Biology

  • Bifurcation theory (independent project) 5 op
  • Mathematical modelling I 5 op
  • Mathematical modelling II 5 op
     
  • Mathematics of infectious diseases 5 op

Insurance and Financial Mathematics

  • Case studies in insurance mathematics 5 op
  • Probability theory I 5 op
  • Probability theory II 5 op
  • Stochastic analysis I 5 op
  • Stochastic analysis II 5 op
  • Risk theory 10 op

The courses in this list have been sorted under related specializations. Please note that students in one specialization can study courses that are listed under other specializations!

  • History of mathematics 5 op
  • Master's studies seminar I 2 op
  • Master's studies seminar II 3 op

Analysis

  • Introduction to complex analysis 5 op
  • Computational methods I 5 op
  • Partial differential equations I 5 op
  • Partial differential equations II 5 op
  • Spectral theory 10 op
  • Convex analysis and optimization I 5 op
  • Convex analysis and optimization II 5 op
  • Complex dynamics 5 op

Mathematical Logic

  • Axiomatic set theory 5 op
  • Computability theory 10 op
  • Introduction to quantum computation 5 op

Geometry, Algebra and Topology

  • Introduction to differential geometry 5 op
  • Introduction to algebraic topology 10 op

Mathematical Physics and Probability

  • Introduction to mathematical physics A 5 op
  • Introduction to mathematical physics B 5 op
  • Stochastic partial differential equations 5 op

Inverse Problems and Imaging

  • Inverse problems project work 5 op

Mathematical Biology

  • Bifurcation theory (independent project) 5 op
  • Adaptive dynamics 10 op

Insurance and Financial Mathematics

  • Career seminar in insurance mathematics 5 op
  • Tariff theory 10 op
  • Advanced risk theory 5 op
  • Quantitative finance 10 op
  • Case Studies in Mathematics and Statistics 5 op
  • Master's studies seminar I 2 op
  • Master's studies seminar II 3 op
     
  • Multivariate analysis 5 op
  • Probability theory I 5 op
  • Probability theory II 5 op
  • Stochastic analysis I 5 op
  • Stochastic analysis II 5 op
  • Computational statistics 5 op
  • Survival and event history analysis I 5 op
  • History of statistics 5 op
  • Nonparametric Inference 5 op
  • Robust regression 5 op
     
  • Topics in Biostatistics 5 op
  • Master's studies seminar I 2 op
  • Master's studies seminar II 3 op
     
  • Asymptotic statistical inference 5 op
  • Computational methods I 5 op
  • Statistical decision theory 5 op
  • Design and analysis of experiments and surveys 5 op
  • Convex analysis and optimization I 5 op
  • Convex analysis and optimization II 5 op
  • Advanced Bayesian Inference 5 op
  • High-dimensional statistics 5 op
  • Survival and event history analysis II 5 op
  • History of statistics 5 op
  • Mathematical and statistical theory of causality
  • Clustering, classification and nonlinear regression
  • Johdatus maisterintutkielmaan 2 op
  • Johdatus matematiikan, fysiikan ja kemian opetukseen 2 op
  • Tiedelukutaidon perusteet 2 op
  • Lukiomatematiikan kertaus ja vahvistus 5 op
  • Lukiomatematiikan kertaus 2 op
  • Matematiikkaa kaikkialla 5 op
  • Matematiikkaa kaikkialla, osa 1 1 op
  • Matematiikkaa kaikkialla, osa 2 2 op
  • Matematiikkaa kaikkialla, osa 3 2 op
  • Matemaattinen ongelmanratkaisu 5 op
  • Matemaattinen ongelmanratkaisu: tutustumiskurssi 2 op
  • Symbolinen laskenta 2 op
  • Yliopistomatematiikka aineenopettajan näkökulmasta 5 op
  • Johdatus lukuteoriaan ja sen sovelluksiin 5 op
  • MFK-M210 Matemaattinen ongelmanratkaisu opettajille (kaksikielinen) 5 op
  • MFK-M210 Matematisk problemlösning för lärare (tvåspråkig) 5 op
  • Matematiikka ja luonnontieteet yhteiskunnassa 5 op
  • Johdatus matematiikan, fysiikan ja kemian opetukseen 2 op (continues from the Fall)
  • Tiedelukutaidon perusteet 2 op
  • How to make a science video? 5 op
  • Lukiomatematiikan kertaus ja vahvistus 5 op
  • Lukiomatematiikan kertaus 2 op
  • Matematiikkaa kaikkialla 5 op
  • Matematiikkaa kaikkialla, osa 1 1 op
  • Matematiikkaa kaikkialla, osa 2 2 op
  • Matematiikkaa kaikkialla, osa 3 2 op
  • Matemaattinen ongelmanratkaisu 5 op
  • Matemaattinen ongelmanratkaisu: tutustumiskurssi 2 op
  • Matemaattisen analyysin työkaluja opettajalle 5 op
  • Koulumatematiikka 5 op
  • Dynaaminen geometria 2 op
  • Geometria I 5 op
  • Geometria II 5 op