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[{"key": "dc.contributor.advisor", "value": "Parviainen, Mikko", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "R\u00f6pp\u00e4nen, Samuli", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2023-01-11T08:37:15Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2023-01-11T08:37:15Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2022", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/84917", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Tutkielma motivaationa oli tarkastella DI-koulutuksen matemaattista opintosuunnitelmaa. Tarkemmaksi esimerkkikoulutukseksi valikoitu tietotekniikan DI-koulutuksen kandidaattivaihe. Kyseisen koulutuksen matemaattisten opintosuunnitelmien sis\u00e4lt\u00f6jen lis\u00e4ksi tarkasteluun otettiin Fourier-menetelm\u00e4t. Ne toimivat esimerkkin\u00e4 er\u00e4\u00e4st\u00e4 DI-koulutuksessa mahdollisesti vastaan tulevasta matemaattisesta ty\u00f6kalusta. \n\nTutkielman ensimm\u00e4isess\u00e4 kokonaisuudessa m\u00e4\u00e4ritell\u00e4\u00e4n Fourier-menetelmi\u00e4 ja esitell\u00e4\u00e4n joitakin niiden sovelluskohteita. Tutkielmassa m\u00e4\u00e4ritell\u00e4\u00e4n reaalinen ja kompleksinen Fourier-sarja, Fourier-muunnos, k\u00e4\u00e4nteinen Fourier-muunnos ja FFT-menetelm\u00e4. Tutkielmassa tarkastellaan lis\u00e4ksi Fourier-sarjan ja Fourier-muunnoksen v\u00e4list\u00e4 yhteytt\u00e4. Fourier-sarjoille ja Fourier-muunnoksille sovelluskohteina esitell\u00e4\u00e4n differentiaaliyht\u00e4l\u00f6iden ratkaisua ja signaalink\u00e4sittely\u00e4. FFT-menetelm\u00e4n osalta tarkastellaan m\u00e4\u00e4ritelm\u00e4n lis\u00e4ksi syyt\u00e4 sen hy\u00f6dyllisyyteen. L\u00e4htein\u00e4 t\u00e4ss\u00e4 kokonaisuudessa on k\u00e4ytetty opetusk\u00e4ytt\u00f6\u00f6n tehtyj\u00e4 luentomonisteita.\n\nTutkielman toisessa kokonaisuudessa tarkastellaan eri yliopistojen tietotekniikan DI-koulutuksen kandivaiheen matematiikan opintosuunnitelmia. Niiden kurssit on esitelty sis\u00e4ll\u00f6ilt\u00e4\u00e4n. Opintosuunnitelmien l\u00e4htein\u00e4 on k\u00e4ytetty yliopistojen verkkosivuilta l\u00f6ytyvi\u00e4 opinto-oppaita. Lis\u00e4ksi ohjelmista on poimittu Fourier-menetelmien esiintyvyydet. Ty\u00f6n er\u00e4s p\u00e4\u00e4l\u00e4hde on ACM:n ja IEEE Computer Society:n toimittama tietotekniikan opetusohjelmien suositeltujen sis\u00e4lt\u00f6jen opas. Oppaan suosittelemat aihealuekokonaisuudet eritell\u00e4\u00e4n ja eri yliopistojen opintosuunnitelmia peilataan niiden suhteen. Tutkielman lopussa on Jyv\u00e4skyl\u00e4n yliopiston DI-koulutuksen matematiikan opintosuunnitelman suunnittelussa mukana olleen professorin haastattelu.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2023-01-11T08:37:15Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2023-01-11T08:37:15Z (GMT). No. of bitstreams: 0\n Previous issue date: 2022", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "43", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "Fourier-menetelm\u00e4t", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "DI-koulutus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Fourier-menetelmist\u00e4 ja tietotekniikan DI-koulutuksen matematiikan opinnoista", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202301111250", "language": "", "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Matematiikan ja tilastotieteen laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Mathematics and Statistics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Matematiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Mathematics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4041", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "diplomi-insin\u00f6\u00f6rit", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "matematiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "koulutus", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "yliopistot", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "Fourier'n sarjat", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
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