{"id":1319,"date":"2018-09-14T12:53:06","date_gmt":"2018-09-14T10:53:06","guid":{"rendered":"http:\/\/home.agh.edu.pl\/~potorski\/?page_id=1319"},"modified":"2020-09-21T14:29:58","modified_gmt":"2020-09-21T12:29:58","slug":"ma1et-pl","status":"publish","type":"page","link":"https:\/\/home.agh.edu.pl\/~potorski\/teaching\/ma1et-pl","title":{"rendered":"Mathematical Analysis 1, WIET, E&#038;T (PL)"},"content":{"rendered":"<div class=\"su-row\">\n<p style=\"text-align: left;\"><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:3s;-webkit-animation-delay:0s;animation-duration:3s;animation-delay:0s;\" data-animation=\"flipInX\" data-duration=\"3\" data-delay=\"0\"><div class=\"jbox gray\" ><div  class=\"jbox-content\"><h2 style=\"text-align: center;\">Analiza matematyczna\u00a01, WIET, EiT<\/h2>\n<p style=\"text-align: left;\"><\/div><\/div><\/div>\n<p style=\"text-align: left;\"><\/div>\n<div class=\"su-row\">\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<div class=\"jbox gray\" ><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-470\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-121.png\" alt=\"\" width=\"70\" height=\"70\" srcset=\"https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-121.png 128w, https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-121-100x100.png 100w\" sizes=\"auto, (max-width: 70px) 100vw, 70px\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\"><strong>O przedmiocie<\/strong><\/p>\n<p style=\"text-align: center;\">Przedmiot przeznaczony dla student\u00f3w I roku studi\u00f3w I stopnia na kierunku Elektronika i Telekomunikacja<span style=\"line-height: 1.5;\">, Wydzia\u0142 Informatyki, Elektroniki\u00a0i Telekomunikacji.<\/span><span style=\"line-height: 1.5;\">\u00a0Semestr\u00a0zimowy 2020\/2021.<\/span><\/p>\n<p style=\"text-align: center;\"><\/div><\/div>\n<\/div><\/div>\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<div class=\"jbox gray\" ><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-471\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-58.png\" alt=\"\" width=\"70\" height=\"70\" srcset=\"https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-58.png 128w, https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-58-100x100.png 100w\" sizes=\"auto, (max-width: 70px) 100vw, 70px\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\"><strong>Syllabus oraz warunki zaliczenia przedmiotu<\/strong><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/sylabusy.agh.edu.pl\/pl\/1\/1\/15\/1\/4\/11\/11\">Sylabus<\/a><br \/>\nZasady zaliczenia<\/p>\n<p style=\"text-align: center;\"><\/div><\/div>\n<\/div><\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"su-row\">\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<p style=\"text-align: left;\"><div class=\"jbox gray\" style=\"border-width:2px;\"><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-182 size-full\" title=\"Week 1\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/button011.png\" alt=\"WEEK01\" width=\"70\" height=\"70\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: center;\"><strong><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:1s;-webkit-animation-delay:0s;animation-duration:1s;animation-delay:0s;\" data-animation=\"pulse\" data-duration=\"1\" data-delay=\"0\">Pocz\u0105tki<\/div><\/strong><\/h6>\n<p style=\"text-align: center;\">Logika. R\u00f3wno\u015b\u0107 oraz inkluzje zbior\u00f3w. Dow\u00f3d nie wprost.<\/div><\/div>\n<\/div><\/div>\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<div class=\"jbox gray\" ><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-183 size-full\" title=\"Week 2\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/button02.png\" alt=\"\" width=\"70\" height=\"70\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: center;\"><strong><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:1s;-webkit-animation-delay:0s;animation-duration:1s;animation-delay:0s;\" data-animation=\"pulse\" data-duration=\"1\" data-delay=\"0\">Indukcja matematyczna<\/div><\/strong><\/h6>\n<p style=\"text-align: center;\">Dow\u00f3d z wykorzystaniem indukcji matematycznej.<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<div class=\"su-row\">\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<p style=\"text-align: left;\"><div class=\"jbox gray\" style=\"border-width:2px;\"><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-184 size-full\" title=\"Week 3\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/button03.png\" alt=\"\" width=\"70\" height=\"70\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: center;\"><strong><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:1s;-webkit-animation-delay:0s;animation-duration:1s;animation-delay:0s;\" data-animation=\"pulse\" data-duration=\"1\" data-delay=\"0\">Funkcje I<\/div><\/strong><\/h6>\n<p style=\"text-align: center;\">Definiowanie funkcji. Dziedzina. Zbi\u00f3r warto\u015bci. Obraz. Przeciwobraz.<\/div><\/div>\n<\/div><\/div>\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<div class=\"jbox gray\" ><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-185 size-full\" title=\"Week 4\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/button04.png\" alt=\"\" width=\"70\" height=\"70\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: center;\"><strong><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:1s;-webkit-animation-delay:0s;animation-duration:1s;animation-delay:0s;\" data-animation=\"pulse\" data-duration=\"1\" data-delay=\"0\">Funkcje II<\/div><\/strong><\/h6>\n<p style=\"text-align: center;\">Dziedzina naturalna. Obraz i przeciwobraz zbioru. Iniekcja. Suriekcja.<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<div class=\"su-row\">\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<p style=\"text-align: left;\"><div class=\"jbox gray\" style=\"border-width:2px;\"><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-509 size-full\" title=\"Week 5\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/button051.png\" alt=\"\" width=\"70\" height=\"70\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: center;\"><strong><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:1s;-webkit-animation-delay:0s;animation-duration:1s;animation-delay:0s;\" data-animation=\"pulse\" data-duration=\"1\" data-delay=\"0\">Ci\u0105gi I<\/div><\/strong><\/h6>\n<p style=\"text-align: center;\">Monotoniczno\u015b\u0107. Ograniczono\u015b\u0107. Definicja granicy. Wyznaczanie granic. Twierdzenie o trzech ci\u0105gach.<\/div><\/div>\n<\/div><\/div>\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<div class=\"jbox gray\" ><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-187 size-full\" title=\"Week 6\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/button06.png\" alt=\"\" width=\"70\" height=\"70\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: center;\"><strong><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:1s;-webkit-animation-delay:0s;animation-duration:1s;animation-delay:0s;\" data-animation=\"pulse\" data-duration=\"1\" data-delay=\"0\">Ci\u0105gi II<\/div><\/strong><\/h6>\n<p style=\"text-align: center;\">Liczba . Podci\u0105g. Wykorzystywanie\u00a0twierdze\u0144 dot. granic ci\u0105g\u00f3w.<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"su-row\">\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<div class=\"jbox gray\" ><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-997\" title=\"Test if it works\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14.png\" alt=\"\" width=\"70\" height=\"70\" srcset=\"https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14.png 256w, https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14-150x150.png 150w, https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14-100x100.png 100w, https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14-200x200.png 200w\" sizes=\"auto, (max-width: 70px) 100vw, 70px\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: center;\"><strong><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:1s;-webkit-animation-delay:0s;animation-duration:1s;animation-delay:0s;\" data-animation=\"pulse\" data-duration=\"1\" data-delay=\"0\">Kolokwium 1<\/div><\/strong><\/h6>\n<p style=\"text-align: center;\">Kolokwium odb\u0119dzie si\u0119 &#8230; grudnia 2020r<span style=\"line-height: 1.5;\">.<\/span><\/div><\/div>\n<\/div><\/div>\n<div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<div class=\"jbox gray\" ><div  class=\"jbox-content\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-997\" title=\"Test if it works\" src=\"http:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14.png\" alt=\"\" width=\"70\" height=\"70\" srcset=\"https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14.png 256w, https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14-150x150.png 150w, https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14-100x100.png 100w, https:\/\/home.agh.edu.pl\/~potorski\/wp-content\/uploads\/free-60-icons-14-200x200.png 200w\" sizes=\"auto, (max-width: 70px) 100vw, 70px\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: center;\"><strong><div class=\"su-animate\" style=\"opacity:0;-webkit-animation-duration:1s;-webkit-animation-delay:0s;animation-duration:1s;animation-delay:0s;\" data-animation=\"pulse\" data-duration=\"1\" data-delay=\"0\">Kolokwium 2<\/div><\/strong><\/h6>\n<p style=\"text-align: center;\">Kolokwium odb\u0119dzie si\u0119\u00a0&#8230; stycznia 2021r<span style=\"line-height: 1.5;\">.<\/span><\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; &nbsp;<\/p>\n","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-1319","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/pages\/1319","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=1319"}],"version-history":[{"count":35,"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/pages\/1319\/revisions"}],"predecessor-version":[{"id":1612,"href":"https:\/\/home.agh.edu.pl\/~potorski\/wp-json\/wp\/v2\/pages\/1319\/revisions\/1612"}],"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=1319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}