{"id":null,"code":"031051S","name":{"valueFi":"Numeerinen matriisilaskenta","valueEn":"Numerical Matrix Analysis","valueSv":""},"credits":5.0,"minCredits":5,"maxCredits":5,"tags":[],"createdAt":1790534853429,"contentList":[{"title":{"valueFi":"Osaamistavoitteet","valueEn":"Learning outcomes","valueSv":""},"content":{"valueFi":"Opiskelija tietää tehokkaimmat numeerisesti luotettavat menetelmät, joilla lineaarialgebran perustehtävät ratkaistaan. Opiskelija osaa matriisien perusfaktoroinnit sekä niiden approksimoinnin. Opiskelija tietää kuinka erittäin suuria ja harvoja tehtäviä voidaan ratkaista iteratiivisilla menetelmillä. Opiskelija ymmärtää pohjustamisen merkityksen, sekä ymmärtää laskennallista kompleksisuusteoriaa.","valueEn":"After completing the course the student knows the most efficient and numerically reliable methods to solve the basic problems in linear algebra. He/she knows the basic matrix factorizations and their approximations. The student has the capability to solve very large and sparse problems with the iterative solutions methods and understands the significance of preconditioning.","valueSv":""}},{"title":{"valueFi":"Sisältö","valueEn":"Content","valueSv":""},"content":{"valueFi":"Hajotelmien teoria, SVD, osittaistuettu LU sekä QR hajotelma, Schurin hajotelma, FFT, ominaisarvo- ja yleistetty ominaisarvo-ongelma, matriisifunktiot, GMRES, MINRES sekä pohjustaminen.","valueEn":"Theory of matrix decompositions, SVD-decomposition, partially pivoted LU-decomposition, QR-decomposition, Schur-decomposition, FFT, eigenvalue- and generalized eigenvalue problems, matrix functions, GMRES, MINRES, Preconditioning.","valueSv":""}},{"title":{"valueFi":"Suoritustavat","valueEn":"Study Methods","valueSv":""},"content":{"valueFi":"Välikokeet tai loppukoe.  \r\nLue lisää opintosuoritusten arvostelusta yliopiston verkkosivulta.","valueEn":"Partial exams or a final exam.  \r\nRead more about assessment criteria at the University of Oulu webpage.","valueSv":""}},{"title":{"valueFi":"Toteutustavat","valueEn":"Teaching Methods","valueSv":""},"content":{"valueFi":"Luennot ensisijaisesti etäopetuksena  28 h / Pienryhmäopetus saleissa 14 h / Itsenäinen opiskelu 93h.","valueEn":"Primarily remote teaching lectures 28 h / Group work in class 14 h / Self-study 93 h.","valueSv":""}},{"title":{"valueFi":"Oppimateriaalit","valueEn":"Learning material","valueSv":""},"content":{"valueFi":"","valueEn":"","valueSv":""}},{"title":{"valueFi":"Lisätiedot","valueEn":"Further information","valueSv":""},"content":{"valueFi":"Opetuskieli  \r\nEnglanti ensisijaisesti.\r\n  \r\nAjoitus  \r\nSyyslukukausi, periodi 1.","valueEn":"Language of instruction  \r\nEnglish primarily.\r\n  \r\nTiming  \r\nFall semester, period 1.","valueSv":""}},{"title":{"valueFi":"Kurssikirjallisuus","valueEn":"Literature","valueSv":""},"content":{"valueFi":"","valueEn":"","valueSv":""}},{"title":{"valueFi":"Esitietovaatimukset","valueEn":"Qualifications","valueSv":""},"content":{"valueFi":"Esitietovaatimukset  \r\nMatematiikan peruskurssit I ja II, Differentiaaliyhtälöt, Matriisialgebra, Numeeriset menetelmät","valueEn":"Prerequisites  \r\nCalculus I and II, a course on Differential Equations and a Course on Linear Algebra and basic Numerical analysis.","valueSv":""}},{"title":{"valueFi":"Arviointiasteikko","valueEn":"Assessment scale","valueSv":""},"content":{"valueFi":"1-5/HYL","valueEn":"1-5/FAIL","valueSv":"1-5/FAIL"}},{"title":{"valueFi":"Arviointikriteerit","valueEn":"Assessment criteria","valueSv":""},"content":{"valueFi":"Opintojaksolla käytetään numeerista arviointiasteikkoa 0-5. Numeerisessa asteikossa nolla merkitsee hylättyä suoritusta.","valueEn":"The course utilizes a numerical grading scale 1-5. In the numerical scale zero stands for a fail.","valueSv":""}},{"title":{"valueFi":"Arviointikriteerit 2","valueEn":"Evaluation criteria 2","valueSv":""},"content":{"valueFi":"","valueEn":"","valueSv":""}},{"title":{"valueFi":"Arviointikriteerit 3","valueEn":"Evaluation criteria 3","valueSv":""},"content":{"valueFi":"","valueEn":"","valueSv":""}},{"title":{"valueFi":"Arviointikriteerit 4","valueEn":"Evaluation criteria 4","valueSv":""},"content":{"valueFi":"","valueEn":"","valueSv":""}},{"title":{"valueFi":"Pääasiallinen opetuskieli","valueEn":"Primary Teaching Language","valueSv":""},"content":{"valueFi":"suomi, englanti","valueEn":"Finnish, English","valueSv":"finska, engelska"}},{"title":{"valueFi":"Taso","valueEn":"Level","valueSv":""},"content":{"valueFi":"Syventävät opinnot","valueEn":"Advanced Studies","valueSv":"Syventävät opinnot"}},{"title":{"valueFi":"Oppiaine","valueEn":"Subject","valueSv":""},"content":{"valueFi":"Teknillinen matematiikka","valueEn":"Engineering Mathematics","valueSv":""}},{"title":{"valueFi":"Vastuuhenkilöt","valueEn":"Person in charge","valueSv":""},"content":{"valueFi":"Marko Huhtanen","valueEn":"Marko Huhtanen","valueSv":"Marko Huhtanen"}},{"title":{"valueFi":"Luokittelu","valueEn":"Classification","valueSv":""},"content":{"valueFi":"","valueEn":"","valueSv":""}},{"title":{"valueFi":"Linkit","valueEn":"Links","valueSv":""},"content":{"valueFi":"","valueEn":"","valueSv":""}}]}