{"id":5537,"date":"2024-01-05T18:53:03","date_gmt":"2024-01-05T21:53:03","guid":{"rendered":"https:\/\/wp.ufpel.edu.br\/projetogama\/?page_id=5537"},"modified":"2025-01-25T17:44:27","modified_gmt":"2025-01-25T20:44:27","slug":"apoio-ao-calculo","status":"publish","type":"page","link":"https:\/\/wp.ufpel.edu.br\/projetogama\/apoio-ao-calculo\/","title":{"rendered":"Apoio ao C\u00e1lculo"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"font-size: 14pt; color: #800000;\"><strong>M\u00f3dulo de Apoio ao C\u00e1lculo<\/strong><\/span><\/p>\n<p><strong><span style=\"color: #800000;\">Conte\u00fados abordados no Curso (revis\u00e3o da teoria e exerc\u00edcios):<\/span><\/strong> <span style=\"color: #000000;\">Teoria b\u00e1sica dos conjuntos. Conjuntos num\u00e9ricos e intervalos. Opera\u00e7\u00f5es com fra\u00e7\u00f5es. Potencia\u00e7\u00e3o. Radicia\u00e7\u00e3o. Racionaliza\u00e7\u00e3o de denominadores. Fatora\u00e7\u00e3o e produtos not\u00e1veis. Opera\u00e7\u00f5es e simplifica\u00e7\u00e3o de fra\u00e7\u00f5es alg\u00e9bricas. Opera\u00e7\u00f5es com polin\u00f4mios. Inequa\u00e7\u00f5es do primeiro grau. Inequa\u00e7\u00f5es do segundo grau. Inequa\u00e7\u00f5es duplas. Inequa\u00e7\u00f5es modulares. Inequa\u00e7\u00f5es produto e quociente. Fun\u00e7\u00f5es de primeiro e segundo grau.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\">Acesse tamb\u00e9m o material em PDF com o <a href=\"https:\/\/wp.ufpel.edu.br\/projetogama\/files\/2025\/01\/Aulas_Apoio_Calculo_2024.pdf\"><strong><span style=\"color: #0000ff;\">conte\u00fado e exerc\u00edcios<\/span><\/strong>.<\/a><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; color: #800000;\"><strong>Videoaulas<\/strong><\/span><\/p>\n<p>Os v\u00eddeos a seguir abordam os conte\u00fados deste m\u00f3dulo, por meio de uma sequ\u00eancia did\u00e1tica organizada e detalhada.<\/p>\n<p style=\"text-align: left;\"><span style=\"color: #800000; font-size: 14pt;\"><strong>Aula 01<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=O3wxeOoQSUY\"><span style=\"color: #0000ff;\">Conjuntos num\u00e9ricos, pertin\u00eancia e inclus\u00e3o<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=gmU09MohY5A\"><span style=\"color: #0000ff;\">Intervalos reais<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=4JWAANsiyc0\"><span style=\"color: #0000ff;\">Opera\u00e7\u00f5es com intervalos<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=dU2GjBTSXUk\"><span style=\"color: #0000ff;\">Decomposi\u00e7\u00e3o em fatores primos e MMC<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=SGXb4R0TwKg\"><span style=\"color: #0000ff;\">Propriedades e opera\u00e7\u00f5es com fra\u00e7\u00f5es<\/span><\/a><\/p>\n<p style=\"text-align: left;\"><span style=\"color: #800000; font-size: 14pt;\"><strong>Aula 02<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=mfNI2zkZJSU\"><span style=\"color: #0000ff;\">Pot\u00eancias e suas propriedades<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=d-jIxjhDdpg\"><span style=\"color: #0000ff;\">Pot\u00eancias e suas propriedades &#8211; Exemplos<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=gkaNySf2dzM\"><span style=\"color: #0000ff;\">Pot\u00eancias de base 10<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=SwWboCrX-HM\"><span style=\"color: #0000ff;\">Unidades de medida<\/span><\/a><\/p>\n<p><span style=\"color: #800000;\"><strong>Aula 03<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=sYwwjo-j7y0\"><span style=\"color: #0000ff;\">Ra\u00edzes e propriedades &#8211; 1\u00aa parte<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=vf2RtSgW_eU\"><span style=\"color: #0000ff;\">Ra\u00edzes e propriedades &#8211; 2\u00aa parte<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=TtxbEgl5ueY\"><span style=\"color: #0000ff;\">Ra\u00edzes e propriedades &#8211; 3\u00aa parte<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=escKEmeJe8U\"><span style=\"color: #0000ff;\">Racionaliza\u00e7\u00e3o <\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Hu7PQ-cXxQE\"><span style=\"color: #0000ff;\">Racionaliza\u00e7\u00e3o &#8211; Exemplos<\/span><\/a><\/p>\n<p><span style=\"color: #800000;\"><strong>Aula 04<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=JVKsrMQSKVQ\"><span style=\"color: #0000ff;\">Fatora\u00e7\u00e3o &#8211; Fator comum em evid\u00eancia<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Uk93aHvfHag\"><span style=\"color: #0000ff;\">Fatora\u00e7\u00e3o &#8211; Agrupamento<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=WxAuqOhqMwA\"><span style=\"color: #0000ff;\">Fatora\u00e7\u00e3o &#8211; Quadrado da soma de dois termos<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=fRGTM-QQYHE\"><span style=\"color: #0000ff;\">Fatora\u00e7\u00e3o &#8211; Quadrado da diferen\u00e7a de dois termos<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=cJgFy9qAil4\"><span style=\"color: #0000ff;\">Produtos not\u00e1veis &#8211; Diferen\u00e7a de dois quadrados<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=_YFkd-ZY2h4\"><span style=\"color: #0000ff;\">Produtos not\u00e1veis &#8211; Diferen\u00e7a de dois cubos<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KlU39o7FkYE\"><span style=\"color: #0000ff;\">Fatora\u00e7\u00e3o do trin\u00f4mio do segundo grau<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=MY-NBiwEH5E\"><span style=\"color: #0000ff;\">Fatora\u00e7\u00e3o &#8211; Exemplos<\/span><\/a><\/p>\n<p><span style=\"color: #800000;\"><strong>Aula 05<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=zGtH3-qU2k8\"><span style=\"color: #0000ff;\">Express\u00f5es alg\u00e9bricas e valor num\u00e9rico<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Et50L19Ut8w\"><span style=\"color: #0000ff;\">Simplifica\u00e7\u00e3o de fra\u00e7\u00f5es alg\u00e9bricas<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=SS7cfJqhv6o\"><span style=\"color: #0000ff;\">Fra\u00e7\u00f5es alg\u00e9bricas &#8211; multiplica\u00e7\u00e3o e divis\u00e3o<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=UL5IBz3DwvU\"><span style=\"color: #0000ff;\">Fra\u00e7\u00f5es alg\u00e9bricas &#8211; soma e subtra\u00e7\u00e3o<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=0TSkXBZTPP8\"><span style=\"color: #0000ff;\">Fra\u00e7\u00f5es alg\u00e9bricas &#8211; exemplos &#8211; parte 1<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=8LKFyVpBtbA\"><span style=\"color: #0000ff;\">Fra\u00e7\u00f5es alg\u00e9bricas &#8211; exemplos &#8211; parte 2<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Zms64mrdlnc\"><span style=\"color: #0000ff;\">Fra\u00e7\u00f5es alg\u00e9bricas &#8211; exemplos &#8211; parte 3<\/span><\/a><\/p>\n<p><span style=\"color: #800000;\"><strong>Aula 06<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Q1Ksg8TyTpI\"><span style=\"color: #0000ff;\">Opera\u00e7\u00f5es com polin\u00f4mios (soma, diferen\u00e7a e produto)<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=-v0did3IcIs\"><span style=\"color: #0000ff;\">Divis\u00e3o de polin\u00f4mios e Ruffini<\/span><\/a><\/p>\n<p style=\"text-align: left;\"><span style=\"color: #800000; font-size: 14pt;\"><strong>Aula 07<\/strong><\/span><\/p>\n<p><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/youtu.be\/cqb0m-vsDHk\">Inequa\u00e7\u00e3o do primeiro grau e inequa\u00e7\u00f5es duplas<\/a><\/span><\/p>\n<p><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/youtu.be\/tJumlE4D454\">Inequa\u00e7\u00f5es modulares do primeiro grau<\/a><\/span><\/p>\n<p><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/youtu.be\/kh48icj3zBQ\">Inequa\u00e7\u00f5es produto e inequa\u00e7\u00f5es quociente<\/a><\/span><\/p>\n<p><span style=\"color: #800000; font-size: 14pt;\"><strong>Aula 08<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/youtu.be\/K8SBBdi2bdg\"><span style=\"color: #3366ff;\">Inequa\u00e7\u00f5es do segundo grau &#8211; parte 1<\/span><\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/L5zbpsfb8aE\"><span style=\"color: #3366ff;\">Inequa\u00e7\u00f5es do segundo grau &#8211; parte 2<\/span><\/a><\/p>\n<p><span style=\"color: #800000; font-size: 14pt;\"><strong>Aula 09<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/youtu.be\/tA0wZLtelyw\"><span style=\"color: #3366ff;\">Inequa\u00e7\u00f5es do segundo grau &#8211; parte 3<\/span><\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/XwK4AJrx2fQ\"><span style=\"color: #3366ff;\">Inequa\u00e7\u00f5es do segundo grau &#8211; parte 4<\/span><\/a><\/p>\n<p><span style=\"color: #800000; font-size: 14pt;\"><strong>Aula 10<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/youtu.be\/guZV4_H8Qvg\">Fun\u00e7\u00e3o do primeiro grau, gr\u00e1fico, monotonia (crescimento\/decrescimento)<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/2bTp_dDNJfk\">Zeros e sinal da fun\u00e7\u00e3o do primeiro grau<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/FvDdZCOatgY\">Fun\u00e7\u00e3o do segundo grau, gr\u00e1fico, zeros, sinal, coordenadas do v\u00e9rtice e monotonia da fun\u00e7\u00e3o do segundo grau<\/a><\/p>\n<p>&nbsp;<\/p>\n<p align=\"center\"><span style=\"font-size: 14.0pt; color: red;\">Inscreva-se no Canal do Projeto GAMA!!<\/span><\/p>\n<p>Al\u00e9m das aulas te\u00f3ricas de Matem\u00e1tica B\u00e1sica voc\u00ea encontrar\u00e1, <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/www.youtube.com\/channel\/UCB3NUeew6Ji_k39-_GDA3iQ\/playlists\">canal do GAMA<\/a><\/span> no YOUTUBE, v\u00eddeos pedag\u00f3gicos dos conte\u00fados de Fun\u00e7\u00f5es, Fun\u00e7\u00f5es Trigonom\u00e9tricas, Exponenciais e Logar\u00edtmicas, Limites, Derivadas e Integrais.<\/p>\n<p>Exerc\u00edcios resolvidos tamb\u00e9m est\u00e3o dispon\u00edveis!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>M\u00f3dulo de Apoio ao C\u00e1lculo Conte\u00fados abordados no Curso (revis\u00e3o da teoria e exerc\u00edcios): Teoria b\u00e1sica dos conjuntos. Conjuntos num\u00e9ricos e intervalos. Opera\u00e7\u00f5es com fra\u00e7\u00f5es. [&hellip;]<\/p>\n","protected":false},"author":437,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5537","page","type-page","status-publish","hentry","post"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Apoio ao C\u00e1lculo - Grupo de Apoio em Matem\u00e1tica<\/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:\/\/wp.ufpel.edu.br\/projetogama\/apoio-ao-calculo\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Apoio ao C\u00e1lculo - Grupo de Apoio em Matem\u00e1tica\" \/>\n<meta property=\"og:description\" content=\"M\u00f3dulo de Apoio ao C\u00e1lculo Conte\u00fados abordados no Curso (revis\u00e3o da teoria e exerc\u00edcios): Teoria b\u00e1sica dos conjuntos. 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