Mathematics, 30 cr
Type of the study module
Advanced Studies
Contact
Esko Turunen, Merja Laaksonen
Learning Outcomes
| - | Maisteriopinnot matematiikassa suoritettuaan opiskelija ymmärtää matematiikan merkityksen tieteenalana ja hallitsee eri matematiikan osa-alueita. Hän kykenee ratkaisemaan vaativia matemaattisia ongelmia ja soveltamaan matematiikan teorioita käytännössä. Opiskelijalla on valmiudet syventää osaamistaan matematiikassa omatoimisesti. Opinnot suoritettuaan hänellä on hyvä pohja jatkaa opintoja yliopistossa tai toimia vaativissa asiantuntijatehtävissä.
After graduating in master degree in mathematics, the student understands the significance of mathematics as a discipline and he has mastered several areas of mathematics. He is able to solve demanding mathematical problems and apply mathematical theories in practice. The student has the skills to deepen his / her competence in mathematics independently. Having completed the studies, he/ she has a good foundation to continue studying at a university or to engage in demanding expert tasks. |
Prerequisites
| Study block | Credit points | Mandatory/Advisable | Additional information |
| 30 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 )
Content
Compulsory courses
| Course | Credit points | Additional information | Class |
| MAT-60200 Matemaattinen analyysi | 5 cr | 1 | IV |
| MAT-60206 Mathematical Analysis | 5 cr | 1 | IV |
| Total | 10 cr |
1. You can choose only one of these.
Optional Compulsory Courses
Must be selected at least 5 credits of courses
| Course | Credit points | Class |
| MAT-60556 Mathematical Logic | 5 cr | IV |
| MAT-61007 Introduction to Functional Analysis | 5 cr | IV |
| MAT-63506 Scientific Computing | 5 cr | IV |
Complementary Courses
Should be completed to the minimum study module extent of 30 ETCS
| Course | Credit points | Additional information | Class |
| MAT-60350 Tilastolliset monimuuttujamenetelmät | 5 cr | 2 | IV |
| MAT-60456 Optimization Methods | 5 cr | IV | |
| MAT-61056 Advanced Functional Analysis | 5 cr | ||
| MAT-61507 Dynamical Systems and Chaos | 5 cr | ||
| MAT-61706 Bayesian Filtering and Smoothing | 5 cr | ||
| MAT-61757 Measure and Integration | 5 cr | V | |
| MAT-61806 Optimisation and Statistical Data Analysis | 5 cr | ||
| MAT-61906 Complex Networks | 5 cr | ||
| MAT-61956 Financial Mathematics and Statistics | 5 cr | ||
| MAT-62007 Inverse Problems | 5 cr | ||
| MAT-62507 Mathematical Control Theory | 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-64010 Datasta malliksi | 5 cr | IV | |
| MAT-67050 Kohti matematiikan opettajuutta 2 | 5 cr | 1 | V |
| MAT-67506 Mathematics Project Work | 2-10 cr | ||
| MAT-68007 Topics in Mathematics | 2-10 cr | ||
| MAT-68256 Mathematics Literature | 0-10 cr | V | |
| YHTTAY-60350 Monimuuttujamenetelmät | 5 cr | 2 | IV |
| YHTTAY-60560 Johdatus logiikkaan 2 | 5 cr | ||
| YHTTAY-65500 Kompleksianalyysi | 10 cr |
1. Opintojakso on tarkoitettu opettajaksi kouluttautuville. This course is only in finnish and for teacher's education.
2. You can choose only one of these.