Mathematics, 30 cr

Type of the study module

Advanced Studies


Esko Turunen, Merja Laaksonen

Learning Outcomes

- The Intermediate Studies in Mathematics, preceded by the Basic Studies of Natural Sciences, form a strong basis of the international standard to proceed with master-level studies in mathematics. As a minor, the module also supports the other majors of the programme, i.e., Physics and ICT.

After completion of the module, the student has extended his/her theoretical knowledge and understanding of the main branches of Mathematics, namely discrete mathematics, mathematical analysis and also basics of statistical methods used in engineering sciences. The student is able to analytically solve problems and mathematically model real life phenomena. He/she is able to combine experimental results with simple computational models. The student can passably apply his/her knowledge and skills in a working environment.

The core content of the module builds on an abstract mathematical view of the world, analytical thinking, meaningful modeling, and problem solving. The student has strong abilities to make assessments and approximations following the principles of mathematics and natural sciences. The student has strong computational skills that help him/her in problem solving. He/she has also learned group-working skills, reporting, and critical evaluation of experimental results. These skills are essential for the working life and prepare the student for writing a Bachelor's Thesis.


Study block Credit points Mandatory/Advisable Additional information
Mathematics 25 cr Advisable Suositellaan että opiskelijalla on matematiikka pää- tai sivuaineena kandidaatin tutkinnossa tai vastaava määrä matematiikan opintoja.

The student is recommended to have major or minor in Mathematics in their BSc or corresponding amount of mathematics. ( Advisable )


Optional Compulsory Courses

Course Credit points Alternativity Class
MAT-60206 Mathematical Analysis 5 cr 1   IV  
MAT-60556 Mathematical Logic 5 cr 1   IV  
MAT-61006 Introduction to Functional Analysis 7 cr 1   IV  
MAT-63506 Scientific Computing 5 cr 1   IV  
MAT-63807 Introduction to Data Mining: The B-Course and GUHA-Method 5 cr 1   IV  

1. Select 2 courses.

Complementary Courses

Should be completed to the minimum study module extent of 30 ETCS

Course Credit points Additional information Class
LTT-32006 Demola Project Work 5-10 cr  
MAT-60250 Matemaattisen mallinnuksen peruskurssi 5 cr IV  
MAT-60350 Tilastolliset monimuuttujamenetelmät 5 cr IV  
MAT-60456 Optimization Methods 5 cr IV  
MAT-61506 Dynamical Systems and Chaos 7 cr IV  
MAT-61757 Measure and Integration 5 cr V  
MAT-62006 Inverse Problems 7 cr IV  
MAT-62506 Linear Systems 5 cr IV  
MAT-63506 Scientific Computing 5 cr IV  
MAT-63807 Introduction to Data Mining: The B-Course and GUHA-Method 5 cr IV  
MAT-63856 Advanced Applied Logics 5 cr  
MAT-64000 Jatkuvat mallit 4 cr IV  
MAT-64500 Datan analyysimenetelmät mallinnuksessa 4 cr IV  
MAT-64750 Mallinnus ja optimointi 4 cr IV  
MAT-65250 Osittaisdifferentiaaliyhtälöt mallinnuksessa 4 cr IV  
MAT-67050 Kohti matematiikan opettajuutta 2 5 cr 1 V  
MAT-67506 Mathematics Project Work 2-10 cr IV  
MAT-67756 Post-Graduate Seminar in Mathematics 2-10 cr V  
MAT-68007 Topics in Mathematics 2-10 cr IV  
MAT-68256 Mathematics Literature 0-10 cr V  
YHTTAY-60350 Monimuuttujamenetelmät 5 cr  
YHTTAY-60550 Johdatus logiikkaan 1 5 cr  
YHTTAY-60560 Johdatus logiikkaan 2 5 cr  
YHTTAY-62750 Johdatus graafiteoriaan 5 cr  
YHTTAY-65500 Kompleksianalyysi 10 cr  

1. Opintojakso on tarkoitettu matemaattisten aineiden opettajaksi kouluttautuville.

Additional information

Useimmista opintokokonaisuuksista valittavissa on myös suomenkielinen materiaali sekä suomenkielinen harjoitusryhmä. Melkein kaikki kurssit voi myös tenttiä suomen kielellä.

Updated by: Pitkänen Anna, 30.01.2019