{"id":10767,"date":"1970-01-01T00:00:00","date_gmt":"1969-12-31T23:00:00","guid":{"rendered":"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/"},"modified":"1970-01-01T00:00:00","modified_gmt":"1969-12-31T23:00:00","slug":"biomatematika-biologusoknak-i-bsc","status":"publish","type":"page","link":"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/","title":{"rendered":"Biomatematika Zool\u00f3gusoknak I."},"content":{"rendered":"

Lecturer\u00a0<\/strong><\/p>

Dr. Lang Zsolt, [Kattintson az emailc\u00edmhez]<\/a><\/p>

Dr. Kov\u00e1cs \u00c1gnes, [Kattintson az emailc\u00edmhez]<\/a><\/p>

Oktat\u00e1s c\u00e9lja<\/strong><\/p>

A tant\u00e1rgy c\u00e9lja a biol\u00f3gusok sz\u00e1m\u00e1ra sz\u00fcks\u00e9ges alapvet\u0151 matematikai eszk\u00f6z\u00f6k megismertet\u00e9se \u00e9s gyakorl\u00e1sa az R szoftver haszn\u00e1lat\u00e1val kombin\u00e1lva.<\/p>

Tant\u00e1rgy tartalma<\/strong><\/p>

A tant\u00e1rgy a tov\u00e1bbi val\u00f3sz\u00edn\u0171s\u00e9gsz\u00e1m\u00edt\u00e1si \u00e9s statisztikai tanulm\u00e1nyokhoz sz\u00fcks\u00e9ges matematika tananyagot t\u00e1rgyalja. Halmazelm\u00e9leti alapok. Descartes szorzat. Rel\u00e1ci\u00f3k. Logikai szimb\u00f3lumok. Gr\u00e1felm\u00e9leti alapfogalmak. Vektorok \u00e9s m\u00e1trixok. M\u00e1trixm\u0171veletek \u00e9s tulajdons\u00e1gaik. Line\u00e1ris \u00f6sszef\u00fcgg\u0151s\u00e9g. Line\u00e1ris egyenletrendszerek megoldhat\u00f3s\u00e1ga. Sorozatok \u00e9s sorok. F\u00fcggv\u00e9nytani alapok. Hat\u00e1r\u00e9rt\u00e9k, folytonoss\u00e1g. Fontos f\u00fcggv\u00e9nyt\u00edpusok. Inverz f\u00fcggv\u00e9nyek. A Differenci\u00e1lsz\u00e1m\u00edt\u00e1s alapjai.<\/p>

\u00d3r\u00e1k id\u0151pontja: szerda 10:15-11:00 (el\u0151ad\u00e1s), 12:15-13:45 (gyakorlat), kedd 10:15-11:45 (gyakorlat)<\/p>

Aj\u00e1nlott irodalom:<\/strong><\/p>

Izs\u00e1k J. – Juh\u00e1sz-Nagy P. -Varga Z.: Bevezet\u00e9s a biomatematik\u00e1ba. Tank\u00f6nyvkiad\u00f3, Budapest, 1981.
P\u00e9ldat\u00e1rak:
Abonyi-T\u00f3th Zs., Bajcsayn\u00e9 F\u00e1bi\u00e1n I. et al.: Biomatematikai feladatgy\u0171jtem\u00e9ny, SZIE \u00c1OTK, 2001.
B\u00e1rczy B.: Differenci\u00e1lsz\u00e1m\u00edt\u00e1s. Bolyai k\u00f6nyvek, M\u0171szaki K\u00f6nyvkiad\u00f3, Budapest.
B\u00e1rczy B.: Integr\u00e1lsz\u00e1m\u00edt\u00e1s. Bolyai k\u00f6nyvek, M\u0171szaki K\u00f6nyvkiad\u00f3, Budapest, 1992.<\/p>

 <\/p>

","protected":false},"excerpt":{"rendered":"

Lecturer\u00a0 Dr. Lang Zsolt, [Kattintson az emailc\u00edmhez] Dr. Kov\u00e1cs \u00c1gnes, [Kattintson az emailc\u00edmhez] Oktat\u00e1s c\u00e9lja A tant\u00e1rgy c\u00e9lja a biol\u00f3gusok sz\u00e1m\u00e1ra sz\u00fcks\u00e9ges alapvet\u0151 matematikai eszk\u00f6z\u00f6k megismertet\u00e9se \u00e9s gyakorl\u00e1sa az R szoftver haszn\u00e1lat\u00e1val kombin\u00e1lva. Tant\u00e1rgy tartalma A tant\u00e1rgy a tov\u00e1bbi val\u00f3sz\u00edn\u0171s\u00e9gsz\u00e1m\u00edt\u00e1si \u00e9s statisztikai tanulm\u00e1nyokhoz sz\u00fcks\u00e9ges matematika tananyagot t\u00e1rgyalja. Halmazelm\u00e9leti alapok. Descartes szorzat. Rel\u00e1ci\u00f3k. Logikai szimb\u00f3lumok. Gr\u00e1felm\u00e9leti<\/p>\n","protected":false},"author":0,"featured_media":0,"parent":677,"menu_order":163,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"categories":[],"tags":[],"class_list":["post-10767","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"\nBiomatematika Zool\u00f3gusoknak I. - \u00c1llatorvostudom\u00e1nyi Egyetem Budapest<\/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:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/\" \/>\n<meta property=\"og:locale\" content=\"hu_HU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Biomatematika Zool\u00f3gusoknak I. - \u00c1llatorvostudom\u00e1nyi Egyetem Budapest\" \/>\n<meta property=\"og:description\" content=\"Lecturer\u00a0 Dr. Lang Zsolt, [Kattintson az emailc\u00edmhez] Dr. Kov\u00e1cs \u00c1gnes, [Kattintson az emailc\u00edmhez] Oktat\u00e1s c\u00e9lja A tant\u00e1rgy c\u00e9lja a biol\u00f3gusok sz\u00e1m\u00e1ra sz\u00fcks\u00e9ges alapvet\u0151 matematikai eszk\u00f6z\u00f6k megismertet\u00e9se \u00e9s gyakorl\u00e1sa az R szoftver haszn\u00e1lat\u00e1val kombin\u00e1lva. Tant\u00e1rgy tartalma A tant\u00e1rgy a tov\u00e1bbi val\u00f3sz\u00edn\u0171s\u00e9gsz\u00e1m\u00edt\u00e1si \u00e9s statisztikai tanulm\u00e1nyokhoz sz\u00fcks\u00e9ges matematika tananyagot t\u00e1rgyalja. Halmazelm\u00e9leti alapok. Descartes szorzat. Rel\u00e1ci\u00f3k. Logikai szimb\u00f3lumok. Gr\u00e1felm\u00e9leti\" \/>\n<meta property=\"og:url\" content=\"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/\" \/>\n<meta property=\"og:site_name\" content=\"\u00c1llatorvostudom\u00e1nyi Egyetem Budapest\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Becs\u00fclt olvas\u00e1si id\u0151\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 perc\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/\",\"url\":\"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/\",\"name\":\"Biomatematika Zool\u00f3gusoknak I. - \u00c1llatorvostudom\u00e1nyi Egyetem Budapest\",\"isPartOf\":{\"@id\":\"https:\/\/univet.hu\/kat\/#website\"},\"datePublished\":\"1969-12-31T23:00:00+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/#breadcrumb\"},\"inLanguage\":\"hu\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Kezd\u0151lap\",\"item\":\"https:\/\/univet.hu\/kat\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kurzusok\",\"item\":\"https:\/\/univet.hu\/kat\/kurzusok\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Biomatematika Zool\u00f3gusoknak I.\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/univet.hu\/kat\/#website\",\"url\":\"https:\/\/univet.hu\/kat\/\",\"name\":\"Univet Katal\u00f3gus\",\"description\":\"Alap\u00edtva: 1787\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/univet.hu\/kat\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"hu\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Biomatematika Zool\u00f3gusoknak I. - \u00c1llatorvostudom\u00e1nyi Egyetem Budapest","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/","og_locale":"hu_HU","og_type":"article","og_title":"Biomatematika Zool\u00f3gusoknak I. - \u00c1llatorvostudom\u00e1nyi Egyetem Budapest","og_description":"Lecturer\u00a0 Dr. Lang Zsolt, [Kattintson az emailc\u00edmhez] Dr. Kov\u00e1cs \u00c1gnes, [Kattintson az emailc\u00edmhez] Oktat\u00e1s c\u00e9lja A tant\u00e1rgy c\u00e9lja a biol\u00f3gusok sz\u00e1m\u00e1ra sz\u00fcks\u00e9ges alapvet\u0151 matematikai eszk\u00f6z\u00f6k megismertet\u00e9se \u00e9s gyakorl\u00e1sa az R szoftver haszn\u00e1lat\u00e1val kombin\u00e1lva. Tant\u00e1rgy tartalma A tant\u00e1rgy a tov\u00e1bbi val\u00f3sz\u00edn\u0171s\u00e9gsz\u00e1m\u00edt\u00e1si \u00e9s statisztikai tanulm\u00e1nyokhoz sz\u00fcks\u00e9ges matematika tananyagot t\u00e1rgyalja. Halmazelm\u00e9leti alapok. Descartes szorzat. Rel\u00e1ci\u00f3k. Logikai szimb\u00f3lumok. Gr\u00e1felm\u00e9leti","og_url":"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/","og_site_name":"\u00c1llatorvostudom\u00e1nyi Egyetem Budapest","twitter_card":"summary_large_image","twitter_misc":{"Becs\u00fclt olvas\u00e1si id\u0151":"1 perc"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/","url":"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/","name":"Biomatematika Zool\u00f3gusoknak I. - \u00c1llatorvostudom\u00e1nyi Egyetem Budapest","isPartOf":{"@id":"https:\/\/univet.hu\/kat\/#website"},"datePublished":"1969-12-31T23:00:00+00:00","breadcrumb":{"@id":"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/#breadcrumb"},"inLanguage":"hu","potentialAction":[{"@type":"ReadAction","target":["https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/univet.hu\/kat\/kurzusok\/biomatematika-biologusoknak-i-bsc\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Kezd\u0151lap","item":"https:\/\/univet.hu\/kat\/"},{"@type":"ListItem","position":2,"name":"Kurzusok","item":"https:\/\/univet.hu\/kat\/kurzusok\/"},{"@type":"ListItem","position":3,"name":"Biomatematika Zool\u00f3gusoknak I."}]},{"@type":"WebSite","@id":"https:\/\/univet.hu\/kat\/#website","url":"https:\/\/univet.hu\/kat\/","name":"Univet Katal\u00f3gus","description":"Alap\u00edtva: 1787","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/univet.hu\/kat\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"hu"}]}},"_links":{"self":[{"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/pages\/10767","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/types\/page"}],"replies":[{"embeddable":true,"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/comments?post=10767"}],"version-history":[{"count":0,"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/pages\/10767\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/pages\/677"}],"wp:attachment":[{"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/media?parent=10767"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/categories?post=10767"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/univet.hu\/kat\/wp-json\/wp\/v2\/tags?post=10767"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}