{"id":845,"date":"2018-08-14T18:13:44","date_gmt":"2018-08-14T21:13:44","guid":{"rendered":"http:\/\/www.professores.uff.br\/jcolombo\/?page_id=845"},"modified":"2018-12-18T10:24:12","modified_gmt":"2018-12-18T12:24:12","slug":"matematica-aplicada-a-economia_gan00145_2018_2","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/jcolombo\/matematica-aplicada-a-economia_gan00145_2018_2\/","title":{"rendered":"Matem\u00e1tica Aplicada a Economia"},"content":{"rendered":"<p><strong>Carga hor\u00e1ria:<\/strong> 68 hs, turma D1.<\/p>\n<hr \/>\n<p><strong>Monitoria:<\/strong><\/p>\n<hr \/>\n<p><strong>Lista de Exerc\u00edcios para a P1<\/strong><br \/>\n1\u00aa Lista &#8211; p\u00e1ginas 43 &#8211; 47\u00a0 da refer\u00eancia [1].<br \/>\n2\u00aa Lista &#8211; p\u00e1ginas 109 &#8211; 114\u00a0 da refer\u00eancia [1].<br \/>\n3\u00aa Lista &#8211; p\u00e1ginas 191 &#8211; 195\u00a0 da refer\u00eancia [1].<br \/>\n4\u00aa Lista &#8211; p\u00e1ginas 247 &#8211; 251\u00a0 da refer\u00eancia [1].<\/p>\n<p><strong>Lista de Exerc\u00edcios para a P2<\/strong><br \/>\n1\u00aa Lista &#8211; p\u00e1ginas\u00a0326 &#8211; 330\u00a0 da refer\u00eancia [1].<br \/>\n2\u00aa Lista &#8211; p\u00e1ginas 369 &#8211; 373\u00a0 da refer\u00eancia [1].<\/p>\n<hr \/>\n<p><strong>Hor\u00e1rio:<\/strong> 2\u00aa e 4\u00aa-feiras na sala F-204 das 18hs \u00e0s 20hs.<br \/>\n<strong>Meu hor\u00e1rio de atendimento:<\/strong><\/p>\n<hr \/>\n<p><strong>Avalia\u00e7\u00f5es<\/strong><br \/>\n<a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/P1_Mat_Eco.pdf\">P1<\/a> &#8211; 08\/10\/2018 <a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/P1_Mat_Eco_gabarito.pdf\">Gabarito da P1<\/a><br \/>\n<a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/P2_Mat_Eco.pdf\">P2<\/a> &#8211; 03\/12\/2018<br \/>\n<a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/VR_Mat_Eco.pdf\">VR<\/a> &#8211; 10\/12\/2018\u00a0 <a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/VR_Mat_Eco_gaba.pdf\">Gabarito da VR<\/a><br \/>\n<a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/VS_Mat_Eco.pdf\">VS<\/a> &#8211; 17\/12\/2018 <a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/nota.txt\">nota <\/a> vista de provas das 16-17hs no meu gabinete.<\/p>\n<hr \/>\n<p><strong>Cronograma<\/strong><\/p>\n<p>Aula \u00a0 \u00a0 Data\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Assunto<\/p>\n<p><span style=\"color: #ff00ff\">01\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">13\/08<\/span> \u00a0\u00a0\u00a0 Apresenta\u00e7\u00e3o\u00a0 da\u00a0 disciplina, ementa, bibliografia e avalia\u00e7\u00e3o. Iniciei o conte\u00fado: Desigualdades, equa\u00e7\u00e3o do 2\u00aa grau.<br \/>\n<span style=\"color: #ff00ff\">02<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">15\/08<\/span> \u00a0\u00a0\u00a0 Plano Coordenado, Equa\u00e7\u00e3o da reta,\u00a0 Polin\u00f4mios: grau, adi\u00e7\u00e3o, produto, ra\u00edzes e divis\u00e3o, Quadr\u00e1ticas classifica\u00e7\u00e3o.<br \/>\n<span style=\"color: #ff00ff\">03<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">20\/08<\/span> \u00a0\u00a0 Fun\u00e7\u00f5es: defini\u00e7\u00e3o, composi\u00e7\u00e3o, inversa e injetora e sobrejetora.<br \/>\n<span style=\"color: #ff00ff\">XX<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">22\/08<\/span> \u00a0\u00a0\u00a0 N\u00e3o teve aula pois o Campus Gragoat\u00e1 estava sem luz.<br \/>\n<span style=\"color: #ff00ff\">04<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">27\/08<\/span> \u00a0\u00a0\u00a0 Exponencial e Logaritmo.<br \/>\n<span style=\"color: #ff00ff\">05<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">29\/08<\/span> \u00a0\u00a0\u00a0 Limites: Defini\u00e7\u00e3o e propriedades.<br \/>\n<span style=\"color: #ff00ff\">06<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">03\/09<\/span> \u00a0\u00a0\u00a0 Limites Laterais, Continuidade, Ass\u00edntotas.<br \/>\n<span style=\"color: #ff00ff\">07<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">05\/09<\/span> \u00a0\u00a0\u00a0 Reta tangente &#8211; Fun\u00e7\u00e3o deriv\u00e1vel.<br \/>\n<span style=\"color: #ff00ff\">08<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">10\/09<\/span> \u00a0\u00a0\u00a0 Regras de deriva\u00e7\u00e3o, derivada como taxa de varia\u00e7\u00e3o, regra da cadeia.<br \/>\n<span style=\"color: #ff00ff\">09<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">12\/09<\/span> \u00a0\u00a0\u00a0 Deriva\u00e7\u00e3o impl\u00edcita e aula de exerc\u00edcios.<br \/>\n<span style=\"color: #ff00ff\">10<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">17\/09<\/span> \u00a0\u00a0\u00a0 Estudo do comportamento do gr\u00e1fico das fun\u00e7\u00f5es utilizando limites, derivadas + exerc\u00edcios.<br \/>\n<span style=\"color: #ff00ff\">11<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">19\/09<\/span> \u00a0\u00a0\u00a0\u00a0 Aula de exerc\u00edcios.<br \/>\n<span style=\"color: #ff00ff\">12<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">24\/09<\/span> \u00a0\u00a0\u00a0 Esbo\u00e7os de gr\u00e1fico + problemas de otimiza\u00e7\u00e3o + exerc\u00edcios.<br \/>\n<span style=\"color: #ff00ff\">13<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">26\/09<\/span> \u00a0\u00a0\u00a0 Derivada como velocidade instant\u00e2nea, aula de exerc\u00edcios.<br \/>\n<span style=\"color: #ff00ff\">14<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">01\/10<\/span> \u00a0\u00a0\u00a0\u00a0 Diferencial + aula de exerc\u00edcios.<br \/>\n<span style=\"color: #ff00ff\">15<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">03\/10<\/span> \u00a0\u00a0\u00a0\u00a0 Aula de exerc\u00edcios.<br \/>\n<span style=\"color: #ff00ff\">16<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">08\/10<\/span> \u00a0\u00a0\u00a0\u00a0 <a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/P1_Mat_Eco.pdf\">P1<\/a><br \/>\n<span style=\"color: #ff00ff\">17<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">10\/10<\/span> \u00a0\u00a0\u00a0\u00a0 Corre\u00e7\u00e3o da P1 e regra de L&#8217;Hospital.<br \/>\n<span style=\"color: #ff00ff\">XX<\/span> \u00a0\u00a0\u00a0\u00a0 <span style=\"color: #008000\">15\/10 \u00a0 \u00a0\u00a0 <span style=\"color: #000000\">Semana Acad\u00eamica &#8211; n\u00e3o teve aula.<br \/>\n<\/span><\/span><span style=\"color: #ff00ff\">XX<\/span> \u00a0\u00a0\u00a0\u00a0 <span style=\"color: #008000\">17\/10 \u00a0 \u00a0\u00a0 <span style=\"color: #000000\">Semana Acad\u00eamica &#8211; n\u00e3o teve aula.<br \/>\n<\/span><\/span><span style=\"color: #ff00ff\">XX<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0<span style=\"color: #008000\"> 22\/10<\/span> \u00a0\u00a0 N\u00e3o (ter\u00e1)teve aula. Assistir as aulas 25 e 26 da seguinte playlist\u00a0 https:\/\/www.youtube.com\/playlist?list=PLAudUnJeNg4tr-aiNyYCXE46L3qEZ2Nzx<br \/>\n<span style=\"color: #ff00ff\">XX<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #008000\">24\/10<\/span> \u00a0\u00a0 N\u00e3o teve aula.<span style=\"color: #008000\"><span style=\"color: #000000\"><br \/>\n<\/span><\/span><span style=\"color: #ff00ff\">19<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #008000\"><span style=\"color: #339966\">29\/10<\/span> \u00a0\u00a0 <span style=\"color: #000000\">Integra\u00e7\u00e3o e aula de exerc\u00edcios<\/span><span style=\"color: #000000\">.<br \/>\n<\/span><\/span><span style=\"color: #ff00ff\">20<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #008000\"><span style=\"color: #339966\">31\/10<\/span> \u00a0\u00a0<\/span> Integra\u00e7\u00e3o: mudan\u00e7a de vari\u00e1veis e aula de exerc\u00edcios.<span style=\"color: #008000\"><span style=\"color: #000000\"><br \/>\n<\/span><\/span><span style=\"color: #ff00ff\">21<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #008000\"><span style=\"color: #339966\">05\/11<\/span> \u00a0 \u00a0\u00a0 <\/span><span style=\"color: #000000\">aula de exerc\u00edcios.<\/span><br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">22<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">07\/11 <\/span>\u00a0 \u00a0\u00a0 <a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/P1_linha_Mat_Eco.pdf\">P1&#8242;<\/a><strong>. (<a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/P1_linha_Mat_Eco_gab.pdf\">P1&#8217;_gabarito<\/a>).<br \/>\n<\/strong><span style=\"color: #ff00ff\">23<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">12\/11<\/span> \u00a0 \u00a0\u00a0<\/span><\/span> Integra\u00e7\u00e3o: por partes e corre\u00e7\u00e3o da P1&#8242;.<span style=\"color: #008000\"><span style=\"color: #000000\"><strong><br \/>\n<\/strong><\/span><\/span><span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">24<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">14\/11<\/span> \u00a0 \u00a0\u00a0 <\/span><\/span>Integral definida e calculo de \u00e1rea.<br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">25<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">19\/11<\/span>\u00a0\u00a0\u00a0 <\/span><\/span>\u00a0 Feriado.<strong><br \/>\n<\/strong><span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">26<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">21\/11<\/span> \u00a0 \u00a0\u00a0<\/span><\/span> Integral definida e calculo de \u00e1rea.<br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">27<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">26\/11<\/span> \u00a0 \u00a0\u00a0<\/span><\/span> Aplica\u00e7\u00f5es.<br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">28<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">26\/11<\/span> \u00a0 \u00a0\u00a0<\/span><\/span> Aula de exerc\u00edcios.<br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">29<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">03\/12<\/span> \u00a0 \u00a0\u00a0<\/span><\/span> P2.<br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">30<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">05\/12<\/span> \u00a0 \u00a0\u00a0 <\/span><\/span>Corre\u00e7\u00e3o da P2 e vistas e aula de exerc\u00edcios para a VR.<br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">31<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">10\/12<\/span> \u00a0 \u00a0\u00a0<\/span><\/span>\u00a0 VR.<br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">32<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">12\/12<\/span> \u00a0 \u00a0\u00a0<\/span><\/span>\u00a0 Corre\u00e7\u00e3o da VR e vistas. Aula de exerc\u00edcios para os alunos em VS.<br \/>\n<span style=\"color: #008000\"><span style=\"color: #000000\"><span style=\"color: #ff00ff\">33<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #339966\">17\/12<\/span> \u00a0 \u00a0\u00a0<\/span><\/span>\u00a0 VS.<\/p>\n<hr \/>\n<p><strong>Dia a Dia<br \/>\n<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-761\" src=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/03\/Averiguar-300x200.jpg\" alt=\"\" width=\"300\" height=\"200\" srcset=\"https:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/03\/Averiguar-300x200.jpg 300w, https:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/03\/Averiguar.jpg 720w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<hr \/>\n<p><strong>Ementa oficial<br \/>\n<\/strong><\/p>\n<p>Revis\u00e3o de Fun\u00e7\u00e3o de uma vari\u00e1vel real<br \/>\nLimite de fun\u00e7\u00f5es reais de uma vari\u00e1vel real<br \/>\nDerivadas de fun\u00e7\u00f5es reais de uma vari\u00e1vel real<br \/>\nAplica\u00e7\u00f5es de derivadas<br \/>\nIntegrais de fun\u00e7\u00f5es reais de uma vari\u00e1vel real<br \/>\n<a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/gan00145.pdf\">Ementa Oficial GAN00145<\/a><\/p>\n<hr \/>\n<p><strong>bibliografia<\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/08\/ecomat.pdf\">[1] C\u00e1lculo para Economia e Administra\u00e7\u00e3o<\/a>: Volume I, Mauricio A. Vilches.<\/li>\n<li><a href=\"http:\/\/www.professores.uff.br\/jcolombo\/wp-content\/uploads\/sites\/124\/2018\/03\/Apostila-de-Farm\u00e1cia_emilia.pdf\">[2] T\u00f3picos de Matem\u00e1tica Aplicada<\/a>, Maria Em\u00edlia e Carla Nascimento,<\/li>\n<li>[3] C\u00e1lculo: Um curso moderno e suas aplica\u00e7\u00f5es Laurence D. Hoffmann e Gerald Bradley. Editora LTC.<\/li>\n<li>[4] Um Curso de C\u00e1lculo, Vol. 1, Hamilton Guidorizzi. LTC.<\/li>\n<\/ul>\n<hr \/>\n<p>\u00faltima atualiza\u00e7\u00e3o em Novembro\/2018.<strong><br \/>\n<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Carga hor\u00e1ria: 68 hs, turma D1. Monitoria: Lista de Exerc\u00edcios para a P1 1\u00aa Lista &#8211; p\u00e1ginas 43 &#8211; 47\u00a0 da refer\u00eancia [1]. 2\u00aa Lista &#8211; p\u00e1ginas 109 &#8211; 114\u00a0 da refer\u00eancia [1]. 3\u00aa Lista &#8211; p\u00e1ginas 191 &#8211; 195\u00a0 da refer\u00eancia [1]. 4\u00aa Lista &#8211; p\u00e1ginas 247 &#8211; 251\u00a0 da refer\u00eancia [1]. Lista de [&hellip;]<\/p>\n","protected":false},"author":129,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-845","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/pages\/845","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/users\/129"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/comments?post=845"}],"version-history":[{"count":32,"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/pages\/845\/revisions"}],"predecessor-version":[{"id":849,"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/pages\/845\/revisions\/849"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/media?parent=845"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/categories?post=845"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/jcolombo\/wp-json\/wp\/v2\/tags?post=845"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}