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Course unit, curriculum year 2024–2025
MATH.MA.850
Current Topics in Mathematics, 0–10 cr
Tampere University
- Description
- Completion options
Teaching periods
Active in period 2 (21.10.2024–31.12.2024)
Course code
MATH.MA.850Language of instruction
English, FinnishAcademic years
2024–2025, 2025–2026, 2026–2027Level of study
Advanced studiesGrading scale
General scale, 0-5Persons responsible
Responsible teacher:
Marja KankaanrintaResponsible teacher:
Simo Ali-Löytty, (Sisu-yhteyshenkilö)Responsible teacher:
Riikka KangaslampiResponsible teacher:
Antti KuusistoResponsible teacher:
Mika MattilaResponsible teacher:
Lassi PaunonenResponsible teacher:
Sampsa PursiainenResponsible organisation
Faculty of Information Technology and Communication Sciences 100 %
Coordinating organisation
Computing Sciences Studies 100 %
Learning outcomes
Prerequisites
Further information
Studies that include this course
Completion option 1
Johdatus homologiseen algebraan suoritetaan tenttimällä teoksen Weibel: An Introduction to Homological Algebra luvut 1.1-1.5, 2.1-2.7, 3.1-3.4, 3.6, 5.1, 5.2, 5.4. 5.6, 5.7, 5.8 pois lukien algebrallista topologiaa tai lyhteitä koskevat esimerkit. Suoritustavan vastuuopettaja on Eero Hyry.
Exam
No scheduled teaching
Completion option 2
Johdatus kommutatiiviseen algebraan suoritetaan tenttimällä teoksen Atiyah-MacDonald: Introduction to commutative algebra luvut 1-9. Suoritustavan vastuuopettaja on Eero Hyry. Mikäli haluat suorittaa Johdatus homologiseen algebraan ole yhteydessä vastuuopettajaan. Matematiikan ajankohtaisia aiheita on vaihtuva-aiheinen opintojakso, jonka voi suorittaa useamman kerran. Mikäli suoritat opintojakson useamman kerran niin uudet suoritukset kirjataan hieman eri koodille.
Exam
No scheduled teaching
Completion option 3
The course focuses on the theory of unbounded linear operators, especially differential operators, and on analysis of elliptic partial differential equations. In particular, the course introduces the functional analytic tools for the study of existence, regularity properties, and approximation of solutions of elliptic equations. List of the main topics: Closed operators on Banach spaces, definition and characterizations Closed-Graph Theorem, Open Mapping Theorem, Uniform Boundedness Principle Operator representation of elliptic partial differential equations Theory of Sobolev spaces, Sobolev embedding theorems Definitions of classical, strong, and weak solutions of elliptic equations Existence and regularity of solutions of elliptic equations Compact embeddings and spectral representation of differential operators The Fourier transform and Fourier multipliers in the analysis of elliptic equations
Participation in teaching
21.10.2024 – 08.12.2024
Active in period 2 (21.10.2024–31.12.2024)
Completion option 4
Suoritustapa on tarkoitettu matematiikan aineenopettajaopiskelijoille, joilla on pedagogiset opinnot jo suoritettuna tai parhaillaan käynnissä. Suoritustavasta järjestetään toteutus lukuvuonna 2025-2026 1-2. periodissa. Suoritustavan vastuuopettaja on Riikka Kangaslampi.
Participation in teaching
No scheduled teaching
Completion option 5
Participation in teaching
No scheduled teaching
Completion option 6
Independent study
No scheduled teaching