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Course unit, curriculum year 2023–2024
MATH.MA.630

Differential and integral calculus of several variables, 5 cr

Tampere University
Teaching periods
Active in period 2 (23.10.2023–31.12.2023)
Active in period 3 (1.1.2024–3.3.2024)
Active in period 4 (4.3.2024–31.5.2024)
Course code
MATH.MA.630
Language of instruction
Finnish
Academic years
2021–2022, 2022–2023, 2023–2024
Level of study
Intermediate studies
Grading scale
General scale, 0-5
Persons responsible
Responsible teacher:
Eero Hyry
Responsible teacher:
Heikki Orelma
Responsible organisation
Faculty of Information Technology and Communication Sciences 100 %
Coordinating organisation
Computing Sciences Studies 100 %

Differentioituvuus, derivaatta lineaarikuvauksena;

Osittaisderivaatat, gradientti ja tämän geometrinen merkitys;

Korkeammat osittaisderivaatat, derivoimisjärjestyksen vaihto;

Käänteiskuvauslause;

Implisiittifunktiolause;

Riemann-integraali porrasfunktioiden avulla;

Iteroitu integraali;

Käyräintegraali.

Learning outcomes
Prerequisites
Recommended prerequisites
Learning material
Equivalences
Studies that include this course
Completion option 1
Toteutetaan suomeksi Periodilla II
Completion of all options is required.

Exam

19.12.2023 19.12.2023
Active in period 2 (23.10.2023–31.12.2023)
07.02.2024 07.02.2024
Active in period 3 (1.1.2024–3.3.2024)
13.03.2024 13.03.2024
Active in period 4 (4.3.2024–31.5.2024)

Participation in teaching

23.10.2023 12.12.2023
Active in period 2 (23.10.2023–31.12.2023)