{"id":1640,"date":"2021-07-26T12:33:11","date_gmt":"2021-07-26T10:33:11","guid":{"rendered":"http:\/\/home.agh.edu.pl\/~potorski\/?page_id=1640"},"modified":"2022-09-15T12:00:22","modified_gmt":"2022-09-15T10:00:22","slug":"mati-pl","status":"publish","type":"page","link":"https:\/\/home.agh.edu.pl\/~potorski\/teaching\/mati-pl","title":{"rendered":"Mathematical Analysis, WIET, TI (PL)"},"content":{"rendered":"
\n

Analiza matematyczna, WIET,\u00a0TI<\/h2>\n

<\/div><\/div><\/div>\n

<\/div>\n

\n
\n
\"\"<\/p>\n
\n

O przedmiocie<\/strong><\/p>\n

Przedmiot przeznaczony dla student\u00f3w I roku studi\u00f3w I stopnia na kierunku Teleinformatyka,\u00a0Wydzia\u0142 Informatyki, Elektroniki\u00a0i Telekomunikacji.<\/span>\u00a0Semestr zimowy\u00a02022\/2023.<\/span><\/p>\n

<\/div><\/div>\n<\/div><\/div>\n

\n
\"\"<\/p>\n
\n

Syllabus oraz warunki zaliczenia przedmiotu<\/strong><\/p>\n

Syllabus
\n<\/a>Zasady zaliczenia<\/p>\n

<\/div><\/div>\n<\/div><\/div>\n<\/div>\n

\n
\n

\"WEEK01\"<\/p>\n
\n
Pocz\u0105tki<\/div><\/strong><\/h6>\n

R\u00f3wnania i nier\u00f3wno\u015bci. Logika i teoria mnogo\u015bci. Kresy.<\/div><\/div>\n<\/div><\/div>\n

\n
\"\"<\/a><\/p>\n
\n
Funkcje<\/div><\/strong><\/h6>\n

Wykres funkcji. W\u0142asno\u015bci funkcji. Sk\u0142adanie funkcji. Funkcja odwrotna i jej wykres.\u00a0<\/div><\/div>\n<\/div><\/div>\n<\/div>\n

\n
\n

\"\"<\/p>\n
\n
Granica ci\u0105gu<\/div><\/strong><\/h6>\n

Definicja. Arytmetyka granic. Wyznaczanie granic ci\u0105g\u00f3w. Twierdzenie o trzech ci\u0105gach. Liczba $$e$$.<\/div><\/div>\n<\/div><\/div>\n

\n
\"\"<\/p>\n
\n
Granica funkcji<\/div><\/strong><\/h6>\n

Twierdzenia o granicach funkcji. Granice jednostronne.<\/div><\/div>\n<\/div><\/div>\n<\/div>\n

\n
\n

\"\"<\/p>\n
\n
Ci\u0105g\u0142o\u015b\u0107 i r\u00f3\u017cniczkowalno\u015b\u0107<\/div><\/strong><\/h6>\n

Ci\u0105g\u0142o\u015b\u0107 funkcji. Definicja pochodnej funkcji w punkcie. Sprawdzanie r\u00f3\u017cniczkowalno\u015bci funkcji.\u00a0<\/div><\/div>\n<\/div><\/div>\n

\n
\"\"<\/p>\n
\n
Pochodne<\/div><\/strong><\/h6>\n

Wyznaczanie pochodnych sumy, r\u00f3\u017cnicy, iloczynu i ilorazu funkcji. Pochodna funkcji z\u0142o\u017conej. Pochodna funkcji odwrotnej.<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":6,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"full-width-page.php","meta":{"footnotes":""},"class_list":["post-1640","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/pages\/1640","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/comments?post=1640"}],"version-history":[{"count":6,"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/pages\/1640\/revisions"}],"predecessor-version":[{"id":1683,"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/pages\/1640\/revisions\/1683"}],"up":[{"embeddable":true,"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/pages\/6"}],"wp:attachment":[{"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/media?parent=1640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}