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Oct/22/2021 17:09

MATA125 Matrix analysis, 4 ECTS, kevät 2014 [home page]

Department of Mathematics and Statistics

Announcement:
The language used was temporarily changed. Personal information page allows you to save your language settings.
You cannot register for the course because the course has expired.
The registration deadline for this course passed 31.5.14 at 23:59.
Announcement:
Students will be registered according to their order of registration. Further information on queuing.

General information

Home page: https://koppa.jyu.fi/kurssit/157223
Begins - ends: 18.3.14 - 21.5.14
Registration period: 1.8.13 at 0:00 - 31.5.14 at 23:59
The registration may be cancelled before 1.12.2014 at 00:00.
Instructor(s): Mikko Saarimäki
Credits: 4 ECTS cr.
Languages: language(s) of instruction: suomi; completion language(s): English, suomi
Registered: 49
Max participants: 35 (Due to the queuing method used for registration, you may still register for this course even though the number of participants exceeds the maximum.);
Organisations:Department of Mathematics and Statistics (MATHS), Mathematics (MAT)
Current events:Note: The timetable has changed.
Contents:Complex vector space and inner product. For linear mappings and matrices the spectral decomposition, adjungate and normality. For matrices the characteristic polynomial, square root, polar and singular value decomposition. On matrix norms and approximation of eigenvalues.
Learning outcomes:It is explored to real and complex vector spaces, their linear mappings and specially to the use of matrices in their analysis. The topics of the courses LAG1 and LAG2 are supplemented by the theory of complex eigenvalues and added by introducing various matrix decompositions and classifications. By passing the course the student should be able to
- find out different matrix decompositions,
- find out the diagonalibility, the spectral decomposition, and the unitary diagonalibility of square matrices,
- find out the type of definitness and the square root of matrices,
- find out the singular value decomposition of matrices,
- know the basic facts of matrix norms and use them in the approximation of eigenvalues.
Prerequisites:Linear algebra and geometry 1 and 2 together with Algebra.</p>
Registration:In Korppi.
Selection procedure:All accepted.
Modes of study:Lectures 24 h and exercises 12 h.
Completion mode:Exercises and a final exam.
Course workload:Contact teaching 42 h and self-studies 68 h.</p>
Schedule:4. study module, beginning Mon 17.3.14.
Literature:Barnett: Matrices: methods and applications,
Golub & Van Loan: Matrix computations,
Horn & Johnson: Matrix analysis,
Lancaster & Tismenetsky: The theory of matrices,
Olver & Shakiban: Applied linear algebra.
Contact information:Mikko Saarimäki, office MaD365, mikko.m.saarimaki@jyu.fi
Key words:matrix theory, matrix computation, linear mapping

[Limit information on study groups]

Luento [group details and registration]

Luento Ti [group details and registration]; registered 49, maximum 35
reg.time: 18.3.2014 00:00 - 13.5.2014 00:00
 LocationWeekDayDateAtSupervisorFurther informationURITapahtuman tiedot
1MaD 38012Tu18.3.201412:15-14:00SaarimäkiTapahtuman tiedot
2MaD 38013Tu25.3.201412:15-14:00SaarimäkiTapahtuman tiedot
3MaD 38014Tu1.4.201412:15-14:00SaarimäkiTapahtuman tiedot
4MaD 38015Tu8.4.201412:15-14:00SaarimäkiTapahtuman tiedot
5MaD 38017Tu22.4.201412:15-14:00SaarimäkiTapahtuman tiedot
6MaD 38018Tu29.4.201412:15-14:00SaarimäkiTapahtuman tiedot
7MaD 38019Tu6.5.201412:15-14:00SaarimäkiTapahtuman tiedot
Luento To [group details and registration]; registered 49, maximum 35
reg.time: 20.3.2014 00:00 - 15.5.2014 00:00
 LocationWeekDayDateAtSupervisorFurther informationURITapahtuman tiedot
1MaD 38012Th20.3.201412:15-14:00SaarimäkiTapahtuman tiedot
2MaD 38013Th27.3.201412:15-14:00SaarimäkiTapahtuman tiedot
3MaD 38014Th3.4.201412:15-14:00SaarimäkiTapahtuman tiedot
4MaD 38015Th10.4.201412:15-14:00SaarimäkiTapahtuman tiedot
5MaD 38017Th24.4.201412:15-14:00SaarimäkiTapahtuman tiedot
6MaD 30218Wed30.4.201412:15-14:00SaarimäkiTapahtuman tiedot
7MaD 38019Th8.5.201412:15-14:00SaarimäkiTapahtuman tiedot

Harjoitus [group details and registration]

Harjoitus [group details and registration]; registered 32, maximum 35
reg.time: 1.8.2013 00:00 - 31.5.2014 23:59
 LocationWeekDayDateAtSupervisorFurther informationURITapahtuman tiedot
1MaD 38013Tu25.3.201410:15-12:00SaarimäkiTapahtuman tiedot
2MaD 38014Tu1.4.201410:15-12:00SaarimäkiTapahtuman tiedot
3MaD 38015Tu8.4.201410:15-12:00SaarimäkiTapahtuman tiedot
4MaD 38017Tu22.4.201410:15-12:00SaarimäkiTapahtuman tiedot
5MaD 38018Tu29.4.201410:15-12:00SaarimäkiTapahtuman tiedot
6MaD 38019Tu6.5.201410:15-12:00SaarimäkiTapahtuman tiedot
7MaD 38020Tu13.5.201410:15-12:00SaarimäkiTapahtuman tiedot