[{"data":1,"prerenderedAt":1660},["ShallowReactive",2],{"total-stats":3,"sidebar-tag-counts":9,"courses-list":43,"course-stats-imork":1652,"course-stats-imek":1655,"course-stats-ipmrk":1658},{"courses":4,"topics":5,"summaries":6,"outputs":7,"zapisku":8},3,31,53,2,86,[10,13,16,19,22,25,28,31,33,36,38,41],{"tag":11,"count":12},"imork",42,{"tag":14,"count":15},"ipmrk",25,{"tag":17,"count":18},"imek",22,{"tag":20,"count":21},"isms",13,{"tag":23,"count":24},"neuronove-site",8,{"tag":26,"count":27},"optimalizace",7,{"tag":29,"count":30},"fuzzy",6,{"tag":32,"count":30},"nist",{"tag":34,"count":35},"makroekonomie",5,{"tag":37,"count":35},"geneticke-algoritmy",{"tag":39,"count":40},"mikroekonomie",4,{"tag":42,"count":40},"lagrange",{"courses":44,"counts":1649},[45,715,1180],{"id":46,"title":47,"body":48,"course":11,"courseName":696,"courses":696,"created":697,"description":681,"examInfo":696,"extension":698,"featured":699,"garant":696,"meta":700,"navigation":701,"path":702,"seo":703,"sources":704,"stem":706,"tags":707,"type":712,"updated":713,"__hash__":714},"courses\u002Fcourses\u002Fimork.md","Management oborových řešení (ImorK)",{"type":49,"value":50,"toc":680},"minimark",[51,55,154,159,187,191,233,237,242,291,295,378,382,411,415,435,439,495,499,573,577,588,592,644,648],[52,53,47],"h1",{"id":54},"management-oborových-řešení-imork",[56,57,58,69],"table",{},[59,60,61],"thead",{},[62,63,64,67],"tr",{},[65,66],"th",{},[65,68],{},[70,71,72,84,94,104,114,124,134,144],"tbody",{},[62,73,74,81],{},[75,76,77],"td",{},[78,79,80],"strong",{},"Zkratka",[75,82,83],{},"ImorK",[62,85,86,91],{},[75,87,88],{},[78,89,90],{},"Fakulta",[75,92,93],{},"Fakulta podnikatelská, VUT v Brně",[62,95,96,101],{},[75,97,98],{},[78,99,100],{},"Semestr",[75,102,103],{},"letní 2025\u002F2026",[62,105,106,111],{},[75,107,108],{},[78,109,110],{},"Ukončení",[75,112,113],{},"zkouška",[62,115,116,121],{},[75,117,118],{},[78,119,120],{},"Garant",[75,122,123],{},"Ing. Lukáš Novák, Ph.D.",[62,125,126,131],{},[75,127,128],{},[78,129,130],{},"Vyučující",[75,132,133],{},"Ing. Petr Sedlák",[62,135,136,141],{},[75,137,138],{},[78,139,140],{},"Ústav",[75,142,143],{},"Ústav informatiky",[62,145,146,151],{},[75,147,148],{},[78,149,150],{},"Prerekvizita",[75,152,153],{},"Management informační bezpečnosti (ImibePA)",[155,156,158],"h2",{"id":157},"cíle-předmětu","Cíle předmětu",[160,161,162,169,175,181],"ul",{},[163,164,165,166],"li",{},"Znalosti o specifických problémech a odlišnostech při ",[78,167,168],{},"oborovém řešení informační bezpečnosti",[163,170,171,172],{},"Porozumění jednotlivých řešení na úrovni ",[78,173,174],{},"případových studií",[163,176,177,178],{},"Přehled o rozdílných aspektech v závislosti na oborové řešení ",[78,179,180],{},"ISMS",[163,182,183,184],{},"Metodika pro budování bezpečných IS na bázi norem řady ",[78,185,186],{},"ISO\u002FIEC 27000",[155,188,190],{"id":189},"osnova","Osnova",[192,193,194,197,200,203,206,209,212,215,218,221,224,227,230],"ol",{},[163,195,196],{},"Bezpečnost v kyberprostoru",[163,198,199],{},"Budování bezpečnostního povědomí — SAE",[163,201,202],{},"Manažerská informační bezpečnost",[163,204,205],{},"Problematika GDPR",[163,207,208],{},"ISMS v ISVS",[163,210,211],{},"ISMS v univerzitním prostředí",[163,213,214],{},"ISMS ve zdravotnictví",[163,216,217],{},"ISMS v energetice",[163,219,220],{},"ISMS poskytovatelů konektivity (ISP)",[163,222,223],{},"Bezpečnost konvergovaných sítí",[163,225,226],{},"Řízení bezpečnosti www aplikací",[163,228,229],{},"Řízení bezpečnosti mailových aplikací",[163,231,232],{},"Řízení mobilní bezpečnosti",[155,234,236],{"id":235},"shrnutí-zdrojů","Shrnutí zdrojů",[238,239,241],"h3",{"id":240},"přednášky","Přednášky",[160,243,244,255,264,273,282],{},[163,245,246,254],{},[247,248,253],"a",{"className":249,"dataFsResolvedFilePath":251,"href":252},[250],"wikilink","summaries\u002Fimork-detail-predmetu.md","\u002Fwiki\u002Fimork-detail-predmetu","Detail předmětu"," — sylabus kurzu, hodnocení, literatura",[163,256,257,263],{},[247,258,262],{"className":259,"dataFsResolvedFilePath":260,"href":261},[250],"summaries\u002Fimork-manazerska-bezpecnost.md","\u002Fwiki\u002Fimork-manazerska-bezpecnost","Manažerská bezpečnost"," — governance, SIEM, log management, bezpečnostní role",[163,265,266,272],{},[247,267,271],{"className":268,"dataFsResolvedFilePath":269,"href":270},[250],"summaries\u002Fimork-bezpecnostni-strategie.md","\u002Fwiki\u002Fimork-bezpecnostni-strategie","Bezpečnostní strategie"," — tvorba a implementace bezpečnostní strategie",[163,274,275,281],{},[247,276,280],{"className":277,"dataFsResolvedFilePath":278,"href":279},[250],"summaries\u002Fimork-sae.md","\u002Fwiki\u002Fimork-sae","SAE"," — budování bezpečnostního povědomí (NIST SP 800-50\u002F16)",[163,283,284,290],{},[247,285,289],{"className":286,"dataFsResolvedFilePath":287,"href":288},[250],"summaries\u002Fimork-risk-management.md","\u002Fwiki\u002Fimork-risk-management","Risk Management"," — ISO 31000, ISO 27005, RTP, PoA\u002FSoA",[238,292,294],{"id":293},"oborová-isms","Oborová ISMS",[160,296,297,306,315,324,333,342,351,360,369],{},[163,298,299,305],{},[247,300,304],{"className":301,"dataFsResolvedFilePath":302,"href":303},[250],"summaries\u002Fimork-akademicke-prostredi.md","\u002Fwiki\u002Fimork-akademicke-prostredi","Akademické prostředí"," — kampus, WiFi, identita, VIS",[163,307,308,314],{},[247,309,313],{"className":310,"dataFsResolvedFilePath":311,"href":312},[250],"summaries\u002Fimork-financni-sektor.md","\u002Fwiki\u002Fimork-financni-sektor","Finanční sektor"," — DORA, MiCA, DLT\u002Fblockchain",[163,316,317,323],{},[247,318,322],{"className":319,"dataFsResolvedFilePath":320,"href":321},[250],"summaries\u002Fimork-zdravotnictvi.md","\u002Fwiki\u002Fimork-zdravotnictvi","Zdravotnictví"," — HIPAA, ISO 27799, PACS, DICOM, eHealth",[163,325,326,332],{},[247,327,331],{"className":328,"dataFsResolvedFilePath":329,"href":330},[250],"summaries\u002Fimork-energetika.md","\u002Fwiki\u002Fimork-energetika","Energetika"," — ISO 27019, IEC 61850, PLC\u002FSBC\u002FRTU",[163,334,335,341],{},[247,336,340],{"className":337,"dataFsResolvedFilePath":338,"href":339},[250],"summaries\u002Fimork-smart-grid.md","\u002Fwiki\u002Fimork-smart-grid","Smart Grid"," — NISTIR 7628, IEC 62351, prosumers",[163,343,344,350],{},[247,345,349],{"className":346,"dataFsResolvedFilePath":347,"href":348},[250],"summaries\u002Fimork-doprava.md","\u002Fwiki\u002Fimork-doprava","Doprava (železnice)"," — CLC\u002FTS 50701, kritická infrastruktura",[163,352,353,359],{},[247,354,358],{"className":355,"dataFsResolvedFilePath":356,"href":357},[250],"summaries\u002Fimork-automotive.md","\u002Fwiki\u002Fimork-automotive","Automotive"," — CAN bus, TISAX, UN Reg. 155",[163,361,362,368],{},[247,363,367],{"className":364,"dataFsResolvedFilePath":365,"href":366},[250],"summaries\u002Fimork-isp.md","\u002Fwiki\u002Fimork-isp","ISP\u002Ftelekomunikace"," — ISO 27011, NGN, 5G bezpečnost",[163,370,371,377],{},[247,372,376],{"className":373,"dataFsResolvedFilePath":374,"href":375},[250],"summaries\u002Fimork-mcn.md","\u002Fwiki\u002Fimork-mcn","Mission Critical Networks"," — NCPI, model hrozeb, dostupnost",[238,379,381],{"id":380},"bezpečnost-aplikací-a-dat","Bezpečnost aplikací a dat",[160,383,384,393,402],{},[163,385,386,392],{},[247,387,391],{"className":388,"dataFsResolvedFilePath":389,"href":390},[250],"summaries\u002Fimork-www.md","\u002Fwiki\u002Fimork-www","Bezpečnost webu"," — OWASP, SQL injection, XSS, Solid",[163,394,395,401],{},[247,396,400],{"className":397,"dataFsResolvedFilePath":398,"href":399},[250],"summaries\u002Fimork-email.md","\u002Fwiki\u002Fimork-email","Bezpečnost emailu"," — SPF, DKIM, DMARC, S\u002FMIME, šifrování",[163,403,404,410],{},[247,405,409],{"className":406,"dataFsResolvedFilePath":407,"href":408},[250],"summaries\u002Fimork-ochrana-dat.md","\u002Fwiki\u002Fimork-ochrana-dat","Ochrana dat"," — NAC, IDS\u002FIPS, SIEM, DLP, IPv6",[238,412,414],{"id":413},"kontinuita-a-obnova","Kontinuita a obnova",[160,416,417,426],{},[163,418,419,425],{},[247,420,424],{"className":421,"dataFsResolvedFilePath":422,"href":423},[250],"summaries\u002Fimork-bcm.md","\u002Fwiki\u002Fimork-bcm","BCM"," — ISO 22301, BIA, STEEPLE, PDCA",[163,427,428,434],{},[247,429,433],{"className":430,"dataFsResolvedFilePath":431,"href":432},[250],"summaries\u002Fimork-dr.md","\u002Fwiki\u002Fimork-dr","Disaster Recovery"," — RPO\u002FRTO, cloud DR, 7 tiers, DRaaS",[238,436,438],{"id":437},"kybernetické-útoky","Kybernetické útoky",[160,440,441,450,459,468,477,486],{},[163,442,443,449],{},[247,444,448],{"className":445,"dataFsResolvedFilePath":446,"href":447},[250],"summaries\u002Fimork-anatomie-utoku.md","\u002Fwiki\u002Fimork-anatomie-utoku","Anatomie útoku"," — APT, vektory, exploit\u002Fpayload",[163,451,452,458],{},[247,453,457],{"className":454,"dataFsResolvedFilePath":455,"href":456},[250],"summaries\u002Fimork-ai-utoky.md","\u002Fwiki\u002Fimork-ai-utoky","AI útoky"," — WormGPT, BEC, phishing",[163,460,461,467],{},[247,462,466],{"className":463,"dataFsResolvedFilePath":464,"href":465},[250],"summaries\u002Fimork-sitove-utoky.md","\u002Fwiki\u002Fimork-sitove-utoky","Síťové útoky"," — DDoS, spoofing, Emotet→Trickbot→Ryuk",[163,469,470,476],{},[247,471,475],{"className":472,"dataFsResolvedFilePath":473,"href":474},[250],"summaries\u002Fimork-ransomware.md","\u002Fwiki\u002Fimork-ransomware","Ransomware"," — historie 1989–2024, RaaS, NISTIR 8374, IR plán",[163,478,479,485],{},[247,480,484],{"className":481,"dataFsResolvedFilePath":482,"href":483},[250],"summaries\u002Fimork-rizeny-hacking.md","\u002Fwiki\u002Fimork-rizeny-hacking","Řízený hacking \u002F APT"," — APT skupiny, informační válka, OSINT",[163,487,488,494],{},[247,489,493],{"className":490,"dataFsResolvedFilePath":491,"href":492},[250],"summaries\u002Fimork-internetova-bezpecnost.md","\u002Fwiki\u002Fimork-internetova-bezpecnost","Internetová bezpečnost"," — kyberprostor, OSINT, behaviorální biometrika",[238,496,498],{"id":497},"případové-studie","Případové studie",[160,500,501,510,519,528,537,546,555,564],{},[163,502,503,509],{},[247,504,508],{"className":505,"dataFsResolvedFilePath":506,"href":507},[250],"summaries\u002Fimork-nemocnice.md","\u002Fwiki\u002Fimork-nemocnice","Útoky na nemocnice"," — Benešov (70M Kč), FN Brno (350M Kč), Nymburk",[163,511,512,518],{},[247,513,517],{"className":514,"dataFsResolvedFilePath":515,"href":516},[250],"summaries\u002Fimork-kradez-dat.md","\u002Fwiki\u002Fimork-kradez-dat","Krádež dat"," — PII, černý trh, IoT botnety, ISO 27701, GDPR",[163,520,521,527],{},[247,522,526],{"className":523,"dataFsResolvedFilePath":524,"href":525},[250],"summaries\u002Fimork-sprava-login.md","\u002Fwiki\u002Fimork-sprava-login","Správa login"," — privilegované účty, NIST SP 800-63, biometrika",[163,529,530,536],{},[247,531,535],{"className":532,"dataFsResolvedFilePath":533,"href":534},[250],"summaries\u002Fimork-ehealth.md","\u002Fwiki\u002Fimork-ehealth","eHealth"," — elektronizace zdravotnictví, telemedicína, NSeZ",[163,538,539,545],{},[247,540,544],{"className":541,"dataFsResolvedFilePath":542,"href":543},[250],"summaries\u002Fimork-tor.md","\u002Fwiki\u002Fimork-tor","TOR"," — anonymizace, onion routing, NSA X-Keyscore",[163,547,548,554],{},[247,549,553],{"className":550,"dataFsResolvedFilePath":551,"href":552},[250],"summaries\u002Fimork-payment.md","\u002Fwiki\u002Fimork-payment","Bezpečnost plateb"," — PCI DSS v4.0, NFC\u002Ftokenizace, EMV, darknet",[163,556,557,563],{},[247,558,562],{"className":559,"dataFsResolvedFilePath":560,"href":561},[250],"summaries\u002Fimork-mobilni-bezpecnost.md","\u002Fwiki\u002Fimork-mobilni-bezpecnost","Mobilní bezpečnost"," — SIMJaker, SIM swapping, 5G, Common Criteria",[163,565,566,572],{},[247,567,571],{"className":568,"dataFsResolvedFilePath":569,"href":570},[250],"summaries\u002Fimork-audio-hack.md","\u002Fwiki\u002Fimork-audio-hack","Audio Hack"," — fyzická zranitelnost HDD, CVE-2022-38392, rezonanční útok",[238,574,576],{"id":575},"další","Další",[160,578,579],{},[163,580,581,587],{},[247,582,586],{"className":583,"dataFsResolvedFilePath":584,"href":585},[250],"summaries\u002Fimork-digitalni-identita.md","\u002Fwiki\u002Fimork-digitalni-identita","Digitální identita a stopa"," — online identita, footprint",[155,589,591],{"id":590},"témata","Témata",[160,593,594,602,611,620,628,636],{},[163,595,596,601],{},[247,597,180],{"className":598,"dataFsResolvedFilePath":599,"href":600},[250],"topics\u002Fisms.md","\u002Fwiki\u002Fisms"," — systém řízení bezpečnosti informací",[163,603,604,610],{},[247,605,609],{"className":606,"dataFsResolvedFilePath":607,"href":608},[250],"topics\u002Frizeni-rizik.md","\u002Fwiki\u002Frizeni-rizik","Řízení rizik"," — proces identifikace a ošetření rizik",[163,612,613,619],{},[247,614,618],{"className":615,"dataFsResolvedFilePath":616,"href":617},[250],"topics\u002Fkyberneticka-bezpecnost.md","\u002Fwiki\u002Fkyberneticka-bezpecnost","Kybernetická bezpečnost"," — hrozby, útoky, obrana",[163,621,622,627],{},[247,623,280],{"className":624,"dataFsResolvedFilePath":625,"href":626},[250],"topics\u002Fsae.md","\u002Fwiki\u002Fsae"," — budování bezpečnostního povědomí",[163,629,630,635],{},[247,631,424],{"className":632,"dataFsResolvedFilePath":633,"href":634},[250],"topics\u002Fbcm.md","\u002Fwiki\u002Fbcm"," — řízení kontinuity činnosti",[163,637,638,643],{},[247,639,409],{"className":640,"dataFsResolvedFilePath":641,"href":642},[250],"topics\u002Fochrana-dat.md","\u002Fwiki\u002Fochrana-dat"," — technologická řešení ochrany",[155,645,647],{"id":646},"doporučená-literatura","Doporučená literatura",[160,649,650,658,665,671,674,677],{},[163,651,652,653,657],{},"JORDÁN, V. a ONDRÁK, V.: ",[654,655,656],"em",{},"Integrovaná podniková infrastruktura."," Brno: CERM, 2016. ISBN 978-80-214-5241-1",[163,659,660,661,664],{},"SEDLÁK, P. a KONEČNÝ, M.: ",[654,662,663],{},"Přeměna ISMS v manažerské informatice."," Brno: CERM, 2023. ISBN 978-80-7623-110-8",[163,666,660,667,670],{},[654,668,669],{},"Kybernetická (ne)bezpečnost."," Brno: CERM, 2021. ISBN 978-80-7623-068-2",[163,672,673],{},"ČSN EN ISO\u002FIEC 27011 — Bezpečnost pro telekomunikační organizace",[163,675,676],{},"ČSN EN ISO\u002FIEC 27019 — Bezpečnost pro energetický průmysl",[163,678,679],{},"ČSN EN ISO\u002FIEC 27799 — Bezpečnost ve zdravotnictví",{"title":681,"searchDepth":7,"depth":7,"links":682},"",[683,684,685,694,695],{"id":157,"depth":7,"text":158},{"id":189,"depth":7,"text":190},{"id":235,"depth":7,"text":236,"children":686},[687,688,689,690,691,692,693],{"id":240,"depth":4,"text":241},{"id":293,"depth":4,"text":294},{"id":380,"depth":4,"text":381},{"id":413,"depth":4,"text":414},{"id":437,"depth":4,"text":438},{"id":497,"depth":4,"text":498},{"id":575,"depth":4,"text":576},{"id":590,"depth":7,"text":591},{"id":646,"depth":7,"text":647},null,"2026-04-12","md",false,{},true,"\u002Fcourses\u002Fimork",{"title":47,"description":681},[705],"raw\u002Fimork\u002FDetail předmětu.md","courses\u002Fimork",[11,20,708,709,710,711],"informacni-bezpecnost","kyberneticka-bezpecnost","oborova-reseni","iso-27000","course","2026-04-25","6MdSdXZJ3FNW9uPHrGzZPucQlKskWh23itOKhDSZfGs",{"id":716,"title":717,"body":718,"course":17,"courseName":696,"courses":696,"created":1164,"description":681,"examInfo":696,"extension":698,"featured":699,"garant":696,"meta":1165,"navigation":701,"path":1166,"seo":1167,"sources":1168,"stem":1174,"tags":1175,"type":712,"updated":713,"__hash__":1179},"courses\u002Fcourses\u002Fimek.md","Matematická ekonomie (ImeK)",{"type":49,"value":719,"toc":1148},[720,723,755,759,767,771,774,784,867,877,897,907,983,987,998,1002,1005,1030,1036,1047,1053,1056,1060,1097,1101,1104,1108],[52,721,717],{"id":722},"matematická-ekonomie-imek",[160,724,725,731,737,743,749],{},[163,726,727,730],{},[78,728,729],{},"Fakulta:"," FP VUT",[163,732,733,736],{},[78,734,735],{},"Garant:"," doc. RNDr. Bedřich Půža, CSc.",[163,738,739,742],{},[78,740,741],{},"Vyučující (kombinované studium):"," Mgr. Martina Bobalová, Ph.D.",[163,744,745,748],{},[78,746,747],{},"Ukončení:"," zkouška (písemná 60 min + ústní ~10 min)",[163,750,751,754],{},[78,752,753],{},"Semestr:"," letní 2025\u002F2026",[155,756,758],{"id":757},"cíl-předmětu","Cíl předmětu",[760,761,762,763,766],"p",{},"Hlouběji proniknout do kauzální podstaty ekonomických vztahů, rozvoj schopnosti vyjadřovat ekonomické vztahy ",[78,764,765],{},"exaktními prostředky"," a provádět jejich analýzy. Matematické modelování mikroekonomie a makroekonomie pomocí prostředků inženýrské matematiky (derivace, integrály, Lagrangeova metoda).",[155,768,770],{"id":769},"obsah-kurzu","Obsah kurzu",[760,772,773],{},"Kurz je v kombinovaném studiu rozčleněn do tří přednáškových bloků:",[238,775,777,778],{"id":776},"blok-1-kalkul-poptávkanabídka-příjemnákladyzisk","Blok 1 — ",[247,779,783],{"className":780,"dataFsResolvedFilePath":781,"href":782},[250],"summaries\u002Fimek-blok-01.md","\u002Fwiki\u002Fimek-blok-01","Kalkul, poptávka\u002Fnabídka, příjem\u002Fnáklady\u002Fzisk",[160,785,786,795,804,813,822,831,840,849,858],{},[163,787,788,794],{},[247,789,793],{"className":790,"dataFsResolvedFilePath":791,"href":792},[250],"topics\u002Fzaklady-matematicke-ekonomie.md","\u002Fwiki\u002Fzaklady-matematicke-ekonomie","Základy matematické ekonomie"," — model, endogenní\u002Fexogenní proměnné, ceteris paribus, komparativní statika",[163,796,797,803],{},[247,798,802],{"className":799,"dataFsResolvedFilePath":800,"href":801},[250],"topics\u002Fderivace.md","\u002Fwiki\u002Fderivace","Derivace, diferenciál a extrémy 1D"," — geometrická a inženýrská interpretace, mezní veličiny",[163,805,806,812],{},[247,807,811],{"className":808,"dataFsResolvedFilePath":809,"href":810},[250],"topics\u002Fintegral.md","\u002Fwiki\u002Fintegral","Integrál"," — neurčitý a určitý, rekonstrukce TR z MR a TC z MC",[163,814,815,821],{},[247,816,820],{"className":817,"dataFsResolvedFilePath":818,"href":819},[250],"topics\u002Ffunkce-vice-promennych.md","\u002Fwiki\u002Ffunkce-vice-promennych","Funkce více proměnných"," — parciální derivace, diferenciál 2D, implicitní funkce, volné extrémy",[163,823,824,830],{},[247,825,829],{"className":826,"dataFsResolvedFilePath":827,"href":828},[250],"topics\u002Flagrangeova-metoda.md","\u002Fwiki\u002Flagrangeova-metoda","Lagrangeova metoda"," — vázané extrémy, multiplikátor jako náklady příležitosti",[163,832,833,839],{},[247,834,838],{"className":835,"dataFsResolvedFilePath":836,"href":837},[250],"topics\u002Fpoptavka-nabidka.md","\u002Fwiki\u002Fpoptavka-nabidka","Poptávka, nabídka a tržní rovnováha"," — modely D a S, rovnováha, multiplikátory",[163,841,842,848],{},[247,843,847],{"className":844,"dataFsResolvedFilePath":845,"href":846},[250],"topics\u002Fzdaneni-trhu.md","\u002Fwiki\u002Fzdaneni-trhu","Zdanění trhu"," — daň výrobci vs. spotřebiteli, rozklad daňového břemene, ekvivalence",[163,850,851,857],{},[247,852,856],{"className":853,"dataFsResolvedFilePath":854,"href":855},[250],"topics\u002Fprebytek-spotrebitele-vyrobce.md","\u002Fwiki\u002Fprebytek-spotrebitele-vyrobce","Přebytek spotřebitele a výrobce"," — CS, PS, plochy pod\u002Fnad křivkami",[163,859,860,866],{},[247,861,865],{"className":862,"dataFsResolvedFilePath":863,"href":864},[250],"topics\u002Fprijem-naklady-zisk.md","\u002Fwiki\u002Fprijem-naklady-zisk","Příjem, náklady a zisk"," — TR, AR, MR, TC, AC, MC, body zvratu, konstrukce nabídky firmy",[238,868,870,871],{"id":869},"blok-2-elasticita-a-produkce","Blok 2 — ",[247,872,876],{"className":873,"dataFsResolvedFilePath":874,"href":875},[250],"summaries\u002Fimek-blok-02.md","\u002Fwiki\u002Fimek-blok-02","Elasticita a produkce",[160,878,879,888],{},[163,880,881,887],{},[247,882,886],{"className":883,"dataFsResolvedFilePath":884,"href":885},[250],"topics\u002Felasticita.md","\u002Fwiki\u002Felasticita","Cenová, křížová a důchodová elasticita"," (jedno- i vícefaktorový model)",[163,889,890,896],{},[247,891,895],{"className":892,"dataFsResolvedFilePath":893,"href":894},[250],"topics\u002Fprodukce.md","\u002Fwiki\u002Fprodukce","Produkční funkce"," — Cobb-Douglasova, CES, lineární, Leontiefova, izokvanty, MRTS, Eulerova věta",[238,898,900,901],{"id":899},"blok-3-užitečnost-a-národní-důchod","Blok 3 — ",[247,902,906],{"className":903,"dataFsResolvedFilePath":904,"href":905},[250],"summaries\u002Fimek-blok-03.md","\u002Fwiki\u002Fimek-blok-03","Užitečnost a národní důchod",[160,908,909,942,965,974],{},[163,910,911,917,918,941],{},[247,912,916],{"className":913,"dataFsResolvedFilePath":914,"href":915},[250],"topics\u002Fuzitecnost.md","\u002Fwiki\u002Fuzitecnost","Užitečnost"," — pojem, mezní užitečnost, Cobb-Douglasova ",[919,920,923],"span",{"className":921},[922],"katex",[924,925,927],"math",{"xmlns":926},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[928,929,930,937],"semantics",{},[931,932,933],"mrow",{},[934,935,936],"mi",{},"U",[938,939,936],"annotation",{"encoding":940},"application\u002Fx-tex",", indiferenční křivky, MRCS",[163,943,944,950,951,964],{},[247,945,949],{"className":946,"dataFsResolvedFilePath":947,"href":948},[250],"topics\u002Foptimalizace-spotrebitele.md","\u002Fwiki\u002Foptimalizace-spotrebitele","Optimalizace spotřebitele"," — Lagrangeova maximalizace ",[919,952,954],{"className":953},[922],[924,955,956],{"xmlns":926},[928,957,958,962],{},[931,959,960],{},[934,961,936],{},[938,963,936],{"encoding":940},", duální minimalizace výdajů, Marshallova\u002FHicksova poptávka",[163,966,967,973],{},[247,968,972],{"className":969,"dataFsResolvedFilePath":970,"href":971},[250],"topics\u002Fnarodni-duchod.md","\u002Fwiki\u002Fnarodni-duchod","Národní důchod"," — GNP, spotřeba\u002Fúspory, MPC\u002FMPS, modely C-I, C-I-G, C-I-G-X",[163,975,976,982],{},[247,977,981],{"className":978,"dataFsResolvedFilePath":979,"href":980},[250],"topics\u002Fis-lm.md","\u002Fwiki\u002Fis-lm","IS-LM analýza"," — simultánní rovnováha trhu zboží a peněz, fiskální\u002Fmonetární politika",[155,984,986],{"id":985},"reference-a-přehledy","Reference a přehledy",[160,988,989],{},[163,990,991,997],{},[247,992,996],{"className":993,"dataFsResolvedFilePath":994,"href":995},[250],"outputs\u002Fimek-vzorce-prehled.md","\u002Fwiki\u002Fimek-vzorce-prehled","Kompletní přehled vzorců"," — všechny klíčové vzorce kurzu v definičním tvaru, se zdrojem a intuicí. Referenční list pro přípravu na zkoušku.",[155,999,1001],{"id":1000},"hodnocení-zkoušky","Hodnocení zkoušky",[760,1003,1004],{},"Písemná část (60 min) — 4 úlohy:",[192,1006,1007,1013,1019,1025],{},[163,1008,1009,1010],{},"Rozhodovací úloha o ekonomické funkci — ",[78,1011,1012],{},"10 bodů",[163,1014,1015,1016],{},"Definice, formulace vlastnosti, interpretace ekonomické veličiny — ",[78,1017,1018],{},"20 bodů",[163,1020,1021,1022],{},"Výpočetní úloha — ",[78,1023,1024],{},"30 bodů",[163,1026,1021,1027],{},[78,1028,1029],{},"40 bodů",[760,1031,1032,1035],{},[78,1033,1034],{},"Dílčí podmínky"," (nutné pro A–E):",[160,1037,1038,1041,1044],{},[163,1039,1040],{},"≥ 11 bodů ze součtu úloh 1 a 2",[163,1042,1043],{},"≥ 10 bodů z úlohy 3",[163,1045,1046],{},"≥ 10 bodů z úlohy 4",[760,1048,1049,1052],{},[78,1050,1051],{},"Stupnice:"," A (90–100), B (80–89), C (70–79), D (60–69), E (50–59), F (0–49 nebo nesplnění podmínek).",[760,1054,1055],{},"Doporučeno mít kalkulátor.",[155,1057,1059],{"id":1058},"literatura","Literatura",[160,1061,1062,1069,1076,1083,1090],{},[163,1063,1064,1065,1068],{},"I. Mezník, ",[654,1066,1067],{},"Úvod do matematické ekonomie pro ekonomy",", FP VUT \u002F CERM, Brno 2017 (CZ)",[163,1070,1071,1072,1075],{},"A.C. Chiang, ",[654,1073,1074],{},"Fundamental Methods of Mathematical Economics",", McGraw-Hill, 1984",[163,1077,1078,1079,1082],{},"J.U. Koch, L.A. Ostrosky, ",[654,1080,1081],{},"Introduction to Mathematical Economics",", McGraw-Hill, 1994",[163,1084,1085,1086,1089],{},"C.J. McKenna, R. Rees, ",[654,1087,1088],{},"Economics: A Mathematical Introduction",", Oxford UP, 1992",[163,1091,1092,1093,1096],{},"J. Jacques, ",[654,1094,1095],{},"Mathematics for Economics and Business",", Addison-Wesley, 1995",[155,1098,1100],{"id":1099},"prerekvizity","Prerekvizity",[760,1102,1103],{},"Standardní kurz inženýrské matematiky, mikroekonomie a makroekonomie na bakalářské úrovni.",[155,1105,1107],{"id":1106},"přehled-zdrojů","Přehled zdrojů",[160,1109,1110,1118,1125,1132,1139],{},[163,1111,1112,1117],{},[247,1113,253],{"className":1114,"dataFsResolvedFilePath":1115,"href":1116},[250],"summaries\u002Fimek-detail-predmetu.md","\u002Fwiki\u002Fimek-detail-predmetu"," — sylabus a administrativní informace",[163,1119,1120,1124],{},[247,1121,1123],{"className":1122,"dataFsResolvedFilePath":781,"href":782},[250],"KS 1. blok"," — 57 stran, matematický aparát + mikroekonomie",[163,1126,1127,1131],{},[247,1128,1130],{"className":1129,"dataFsResolvedFilePath":874,"href":875},[250],"KS 2. blok"," — 19 stran, elasticita a produkce",[163,1133,1134,1138],{},[247,1135,1137],{"className":1136,"dataFsResolvedFilePath":904,"href":905},[250],"KS 3. blok"," — 25 stran, užitečnost a národní důchod",[163,1140,1141,1147],{},[247,1142,1146],{"className":1143,"dataFsResolvedFilePath":1144,"href":1145},[250],"summaries\u002Fimek-kniha.md","\u002Fwiki\u002Fimek-kniha","Kniha Mezník — Úvod do matematické ekonomie"," — naskenované kap. 2–7 (107 stran), kompletní teorie + Příklady + Úlohy k samostatnému řešení",{"title":681,"searchDepth":7,"depth":7,"links":1149},[1150,1151,1159,1160,1161,1162,1163],{"id":757,"depth":7,"text":758},{"id":769,"depth":7,"text":770,"children":1152},[1153,1155,1157],{"id":776,"depth":4,"text":1154},"Blok 1 — Kalkul, poptávka\u002Fnabídka, příjem\u002Fnáklady\u002Fzisk",{"id":869,"depth":4,"text":1156},"Blok 2 — Elasticita a produkce",{"id":899,"depth":4,"text":1158},"Blok 3 — Užitečnost a národní důchod",{"id":985,"depth":7,"text":986},{"id":1000,"depth":7,"text":1001},{"id":1058,"depth":7,"text":1059},{"id":1099,"depth":7,"text":1100},{"id":1106,"depth":7,"text":1107},"2026-04-20",{},"\u002Fcourses\u002Fimek",{"title":717,"description":681},[1169,1170,1171,1172,1173],"raw\u002Fimek\u002FDetail předmětu.md","raw\u002Fimek\u002FKS_prvni_blok.pdf","raw\u002Fimek\u002FKS_druhy_blok.pdf","raw\u002Fimek\u002FKS_treti_blok.pdf","raw\u002Fimek\u002Fkniha_scanned\u002F","courses\u002Fimek",[17,1176,39,34,42,1177,1178],"ekonomie","derivace","integraly","x73RNX_N_uAS3i63VHeCgVFPJa4tJKL2z8kq4DIN24M",{"id":1181,"title":1182,"body":1183,"course":14,"courseName":696,"courses":696,"created":1633,"description":681,"examInfo":696,"extension":698,"featured":699,"garant":696,"meta":1634,"navigation":701,"path":1635,"seo":1636,"sources":1637,"stem":1643,"tags":1644,"type":712,"updated":713,"__hash__":1648},"courses\u002Fcourses\u002Fipmrk.md","Pokročilé metody v rozhodování (IpmrK)",{"type":49,"value":1184,"toc":1625},[1185,1188,1262,1264,1267,1269,1353,1357,1386,1390,1455,1457,1506,1508],[52,1186,1182],{"id":1187},"pokročilé-metody-v-rozhodování-ipmrk",[56,1189,1190,1198],{},[59,1191,1192],{},[62,1193,1194,1196],{},[65,1195],{},[65,1197],{},[70,1199,1200,1209,1218,1227,1235,1243,1253],{},[62,1201,1202,1206],{},[75,1203,1204],{},[78,1205,80],{},[75,1207,1208],{},"IpmrK",[62,1210,1211,1215],{},[75,1212,1213],{},[78,1214,90],{},[75,1216,1217],{},"Fakulta podnikatelská VUT v Brně",[62,1219,1220,1224],{},[75,1221,1222],{},[78,1223,120],{},[75,1225,1226],{},"prof. Ing. Petr Dostál, CSc.",[62,1228,1229,1233],{},[75,1230,1231],{},[78,1232,140],{},[75,1234,143],{},[62,1236,1237,1241],{},[75,1238,1239],{},[78,1240,100],{},[75,1242,103],{},[62,1244,1245,1250],{},[75,1246,1247],{},[78,1248,1249],{},"Jazyk",[75,1251,1252],{},"čeština",[62,1254,1255,1259],{},[75,1256,1257],{},[78,1258,110],{},[75,1260,1261],{},"zkouška (písemný test 0–20 bodů, ECTS) + seminární práce (8–12 stran)",[155,1263,758],{"id":757},[760,1265,1266],{},"Seznámit se s pokročilými a nestandardními metodami analytických a simulačních technik v ekonomii a financích. Důraz na teorii i aplikaci do manažerské praxe.",[155,1268,190],{"id":189},[192,1270,1271,1274,1283,1289,1295,1303,1309,1317,1322,1330,1338,1347,1350],{},[163,1272,1273],{},"Úvod",[163,1275,1276,1282],{},[247,1277,1281],{"className":1278,"dataFsResolvedFilePath":1279,"href":1280},[250],"topics\u002Ffuzzy-logika.md","\u002Fwiki\u002Ffuzzy-logika","Fuzzy logika"," — teorie",[163,1284,1285,1288],{},[247,1286,1281],{"className":1287,"dataFsResolvedFilePath":1279,"href":1280},[250]," + aplikace — Excel",[163,1290,1291,1294],{},[247,1292,1281],{"className":1293,"dataFsResolvedFilePath":1279,"href":1280},[250]," — aplikace MATLAB",[163,1296,1297,1282],{},[247,1298,1302],{"className":1299,"dataFsResolvedFilePath":1300,"href":1301},[250],"topics\u002Fumele-neuronove-site.md","\u002Fwiki\u002Fumele-neuronove-site","Umělé neuronové sítě",[163,1304,1305,1308],{},[247,1306,1302],{"className":1307,"dataFsResolvedFilePath":1300,"href":1301},[250]," + aplikace MATLAB",[163,1310,1311,1282],{},[247,1312,1316],{"className":1313,"dataFsResolvedFilePath":1314,"href":1315},[250],"topics\u002Fgeneticke-algoritmy.md","\u002Fwiki\u002Fgeneticke-algoritmy","Genetické algoritmy",[163,1318,1319,1308],{},[247,1320,1316],{"className":1321,"dataFsResolvedFilePath":1314,"href":1315},[250],[163,1323,1324],{},[247,1325,1329],{"className":1326,"dataFsResolvedFilePath":1327,"href":1328},[250],"topics\u002Fteorie-chaosu.md","\u002Fwiki\u002Fteorie-chaosu","Teorie chaosu",[163,1331,1332],{},[247,1333,1337],{"className":1334,"dataFsResolvedFilePath":1335,"href":1336},[250],"topics\u002Fdatamining.md","\u002Fwiki\u002Fdatamining","Datamining",[163,1339,1340,1346],{},[247,1341,1345],{"className":1342,"dataFsResolvedFilePath":1343,"href":1344},[250],"topics\u002Fpredikce.md","\u002Fwiki\u002Fpredikce","Predikce",", kapitálový trh",[163,1348,1349],{},"Řízení výroby a řízení rizik",[163,1351,1352],{},"Rozhodování",[155,1354,1356],{"id":1355},"hodnocení","Hodnocení",[160,1358,1359,1365],{},[163,1360,1361,1364],{},[78,1362,1363],{},"Zkouška",": písemný test, 0–20 bodů. A: 20–18, B: 17–16, C: 15–14, D: 13–12, E: 11–10, F: 9–0.",[163,1366,1367,1370,1371,1375,1376,1380,1381,1385],{},[78,1368,1369],{},"Seminární práce",": 8–12 stran, individuální zaměření na problematiku z praxe, řešení pomocí ",[247,1372,1374],{"className":1373,"dataFsResolvedFilePath":1279,"href":1280},[250],"fuzzy logiky",", ",[247,1377,1379],{"className":1378,"dataFsResolvedFilePath":1300,"href":1301},[250],"umělých neuronových sítí"," nebo ",[247,1382,1384],{"className":1383,"dataFsResolvedFilePath":1314,"href":1315},[250],"genetických algoritmů",". Nutná úspěšná obhajoba.",[155,1387,1389],{"id":1388},"hlavní-témata","Hlavní témata",[160,1391,1392,1398,1404,1410,1419,1425,1434,1440,1449],{},[163,1393,1394,1397],{},[247,1395,1281],{"className":1396,"dataFsResolvedFilePath":1279,"href":1280},[250]," — modelování rozhodování s vágními pojmy",[163,1399,1400,1403],{},[247,1401,1302],{"className":1402,"dataFsResolvedFilePath":1300,"href":1301},[250]," — učení z dat, klasifikace, predikce",[163,1405,1406,1409],{},[247,1407,1316],{"className":1408,"dataFsResolvedFilePath":1314,"href":1315},[250]," — evoluční optimalizace",[163,1411,1412,1418],{},[247,1413,1417],{"className":1414,"dataFsResolvedFilePath":1415,"href":1416},[250],"topics\u002Fevolucni-algoritmy.md","\u002Fwiki\u002Fevolucni-algoritmy","Evoluční algoritmy"," — metaheuristiky, rojové algoritmy, prohledávací metody",[163,1420,1421,1424],{},[247,1422,1329],{"className":1423,"dataFsResolvedFilePath":1327,"href":1328},[250]," — nelineární dynamické systémy",[163,1426,1427,1433],{},[247,1428,1432],{"className":1429,"dataFsResolvedFilePath":1430,"href":1431},[250],"topics\u002Foptimalizace.md","\u002Fwiki\u002Foptimalizace","Optimalizace"," — hledání minima\u002Fmaxima, MATLAB Optimization Toolbox",[163,1435,1436,1439],{},[247,1437,1337],{"className":1438,"dataFsResolvedFilePath":1335,"href":1336},[250]," — dolování z dat, klastrování, rozhodovací stromy, Witness Miner",[163,1441,1442,1448],{},[247,1443,1447],{"className":1444,"dataFsResolvedFilePath":1445,"href":1446},[250],"topics\u002Fanfis.md","\u002Fwiki\u002Fanfis","ANFIS"," — hybridní propojení fuzzy logiky a neuronových sítí",[163,1450,1451,1454],{},[247,1452,1345],{"className":1453,"dataFsResolvedFilePath":1343,"href":1344},[250]," — prognózování časových řad v ekonomii a financích",[155,1456,647],{"id":646},[160,1458,1459,1466,1472,1479,1486,1492,1499],{},[163,1460,1461,1462,1465],{},"DOSTÁL, P. ",[654,1463,1464],{},"Pokročilé metody analýz a modelování v podnikatelství a veřejné správě",", CERM, 2008",[163,1467,1461,1468,1471],{},[654,1469,1470],{},"Advanced Decision making in Business and Public Services",", CERM, 2011",[163,1473,1474,1475,1478],{},"DOSTÁL, P., RAIS, K., SOJKA, Z. ",[654,1476,1477],{},"Pokročilé metody manažerského rozhodování",", Grada, 2005",[163,1480,1481,1482,1485],{},"ALTROCK, C. ",[654,1483,1484],{},"Fuzzy Logic & Neurofuzzy",", 1996",[163,1487,1488,1489,1485],{},"GATELY, E. ",[654,1490,1491],{},"Neural Network for Financial Forecasting",[163,1493,1494,1495,1498],{},"DAVIS, L. ",[654,1496,1497],{},"Handbook of Genetic Algorithms",", 1991",[163,1500,1501,1502,1505],{},"PETERS, E. 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