{"id":20952,"date":"2019-09-18T09:31:40","date_gmt":"2019-09-18T09:31:40","guid":{"rendered":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/pracoviska\/umv\/vv\/"},"modified":"2022-11-13T21:34:22","modified_gmt":"2022-11-13T20:34:22","slug":"vv","status":"publish","type":"cpt_pracoviska","link":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/pracoviska\/ustavy-pf\/umat\/vv\/","title":{"rendered":"Veda a v\u00fdskum"},"content":{"rendered":"<h3>Hlavn\u00e9 oblasti v\u00fdskumu<\/h3>\n<p style=\"text-align: justify;margin-top:30px;\"><strong>Matematick\u00e1 anal\u00fdza, te\u00f3ria mno\u017e\u00edn, topol\u00f3gia<\/strong><\/p>\n<p style=\"text-align: justify;margin-left:15px;\">V spolupr\u00e1ci s Oddelen\u00edm ekonomickej a finan\u010dnej matematiky sa pracovn\u00edci Oddelenia matematickej anal\u00fdzy podie\u013eaj\u00fa na realiz\u00e1cii doktorandsk\u00e9ho \u0161tudijn\u00e9ho programu 9.1.9 Aplikovan\u00e1 matematika, magistersk\u00e9ho a bakal\u00e1rskeho \u0161tudijn\u00e9ho programu Ekonomick\u00e1 a finan\u010dn\u00e1 matematika, ako aj bakal\u00e1rskeho \u0161tudijn\u00e9ho programu Matematika. V\u00fdskumn\u00e1 \u010dinnos\u0165 Oddelenia matematickej anal\u00fdzy sa v s\u00fa\u010dasnosti zameriava na oblasti neadit\u00edvnych mier a integr\u00e1lov, agregovania inform\u00e1cie s prvkami neur\u010ditosti, rozv\u00edjania met\u00f3d \u010dasovo-frekven\u010dnej anal\u00fdzy, ako aj modelovanie diskr\u00e9tnych a spojit\u00fdch, deterministick\u00fdch a stochastick\u00fdch dynamick\u00fdch syst\u00e9mov pre potreby aplikovanej matematiky v pr\u00edbuzn\u00fdch vedn\u00fdch odboroch a to pou\u017eit\u00edm modern\u00fdch (\u010dasto abstraktn\u00fdch) met\u00f3d matematickej anal\u00fdzy a te\u00f3rie pravdepodobnosti. V spolupr\u00e1ci s Matematick\u00fdm \u00fastavom SAV v Ko\u0161iciach sa tie\u017e sa rozv\u00edja mno\u017einovo-teoretick\u00e1 topol\u00f3gia, kombinatorick\u00e1 a deskript\u00edvna te\u00f3ria mno\u017e\u00edn, ako aj aplik\u00e1cie te\u00f3rie mno\u017e\u00edn v re\u00e1lnej anal\u00fdze, booleovsk\u00e9 modely te\u00f3rie mno\u017e\u00edn a forcing.<\/p>\n<p style=\"text-align: justify;margin-top:30px;\"><strong>Pravdepodobnos\u0165, \u0161tatistika, te\u00f3ria hier a matematick\u00e1 ekon\u00f3mia<\/strong><\/p>\n<p style=\"text-align: justify;margin-left:15px;\">Oddelenie ekonomickej a finan\u010dnej matematiky garantuje realiz\u00e1ciu doktorandsk\u00e9ho \u0161tudijn\u00e9ho programu 9.1.9 Aplikovan\u00e1 matematika, magistersk\u00e9ho a bakal\u00e1rskeho \u0161tudijn\u00e9ho programu Ekonomick\u00e1 a finan\u010dn\u00e1 matematika. Vedeck\u00e1 \u010dinnos\u0165 je zameran\u00e1 na stochastick\u00e9 procesy a ich aplik\u00e1cie, mnohorozmern\u00e9 line\u00e1rne modely, modelovanie z\u00e1vislost\u00ed v mnohorozmern\u00fdch modeloch, predikciu v \u010dasov\u00fdch radoch pomocou line\u00e1rnej regresie, a aplik\u00e1cie \u0161tatistiky v medic\u00edne. V te\u00f3rii hier sa pozornos\u0165 s\u00fastre\u010fuje hlavne na kooperat\u00edvne modely s neprenosn\u00fdm \u00fa\u017eitkom, ktor\u00e9 maj\u00fa viacer\u00e9 aplik\u00e1cie napr\u00edklad pri vyh\u013ead\u00e1van\u00ed darcov obli\u010diek, priradzovan\u00ed absolventov na pracovn\u00e9 poz\u00edcie alebo na \u0161tudijn\u00e9 miesta. Z\u00e1kladn\u00fdmi pou\u017e\u00edvan\u00fdmi n\u00e1strojmi s\u00fa okrem te\u00f3rie v\u00fdpo\u010dtovej zlo\u017eitosti aj te\u00f3ria grafov a kombinatorick\u00e1 optimaliz\u00e1cia.<\/p>\n<p style=\"text-align: justify;margin-top:30px;\"><strong>Te\u00f3ria grafov, algebraick\u00e9 \u0161trukt\u00fary<\/strong><\/p>\n<p style=\"text-align: justify;margin-left:15px;\">Na b\u00e1ze vedeck\u00e9ho v\u00fdskumu konan\u00e9ho Oddelen\u00edm diskr\u00e9tnej matematiky sa \u00faspe\u0161ne rozv\u00edja doktorandsk\u00e9 \u0161t\u00fadium v odbore 9. 1. 6. Diskr\u00e9tna matematika a magistersk\u00e9 \u0161t\u00fadium \u0161tudijn\u00e9ho programu Mana\u017e\u00e9rska matematika a Informatick\u00e1 matematika. V\u00fdskum v te\u00f3rii grafov je zameran\u00fd predov\u0161etk\u00fdm na farebnos\u0165 a \u0161trukt\u00faru grafov, topologick\u00fa te\u00f3riu grafov, cykly v grafoch, aplik\u00e1cie te\u00f3rie grafov a ohodnoten\u00e9 grafy. Algebrick\u00fd v\u00fdskum je zameran\u00fd na usporiadan\u00e9 \u0161trukt\u00fary a univerz\u00e1lnu algebru, ktor\u00e1 zov\u0161eobec\u0148uje poznatky z\u00edskan\u00e9 v r\u00f4znych oblastiach algebry (te\u00f3ria gr\u00fap, line\u00e1rna algebra, te\u00f3ria zv\u00e4zov a in\u00e9) a sk\u00fama v\u0161eobecn\u00e9 vlastnosti algebrick\u00fdch syst\u00e9mov s finit\u00e1rnymi oper\u00e1ciami.<\/p>\n<p style=\"text-align: justify;margin-top:30px;\"><strong>Te\u00f3ria vyu\u010dovania matematiky<\/strong><\/p>\n<p style=\"text-align: justify;margin-left:15px;\">Pod gesciou \u010dlenov Oddelenia didaktiky matematiky sa realizuje doktorandsk\u00e9 \u0161t\u00fadium v odbore 9.1.8 Te\u00f3ria vyu\u010dovania matematiky, magistersk\u00e9 \u0161t\u00fadium U\u010dite\u013estvo akademick\u00fdch predmetov v kombin\u00e1cii s matematikou a neform\u00e1lne vzdel\u00e1vanie u\u010dite\u013eov matematiky na z\u00e1kladn\u00fdch i stredn\u00fdch \u0161kol\u00e1ch. Z tejto \u010dinnosti vypl\u00fdva v\u00fdskum, ktor\u00fd sa zameriava na ot\u00e1zku, \u010do by mal vedie\u0165 dobr\u00fd u\u010dite\u013e matematiky (tzv. didaktick\u00e9 poznanie obsahu) a ako sa to m\u00f4\u017ee nau\u010di\u0165. \u010eal\u0161ou oblas\u0165ou v\u00fdskumu je format\u00edvne hodnotenie, aktu\u00e1lne najm\u00e4 h\u013eadanie vhodn\u00fdch met\u00f3d hodnotenia, ktor\u00e9 ved\u00fa k hlb\u0161iemu porozumeniu v matematike.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":54731,"menu_order":3,"template":"","meta":{"_editorskit_title_hidden":false,"_editorskit_reading_time":0,"_editorskit_is_block_options_detached":false,"_editorskit_block_options_position":"{}"},"categories":[],"tags":[],"tax_aktuality":[],"acf":{"acf_link_na_externy_obsah":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Veda a v\u00fdskum - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/pracoviska\/ustavy-pf\/umat\/vv\/\" \/>\n<meta property=\"og:locale\" content=\"sk_SK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Veda a v\u00fdskum - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\" \/>\n<meta property=\"og:description\" content=\"Hlavn\u00e9 oblasti v\u00fdskumu Matematick\u00e1 anal\u00fdza, te\u00f3ria mno\u017e\u00edn, topol\u00f3gia V spolupr\u00e1ci s Oddelen\u00edm ekonomickej a finan\u010dnej matematiky sa pracovn\u00edci Oddelenia matematickej anal\u00fdzy podie\u013eaj\u00fa na realiz\u00e1cii doktorandsk\u00e9ho \u0161tudijn\u00e9ho programu 9.1.9 Aplikovan\u00e1 matematika, magistersk\u00e9ho a bakal\u00e1rskeho \u0161tudijn\u00e9ho programu Ekonomick\u00e1 a finan\u010dn\u00e1 matematika, ako aj bakal\u00e1rskeho \u0161tudijn\u00e9ho programu Matematika. 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