{"id":704,"date":"2018-03-13T19:32:22","date_gmt":"2018-03-13T22:32:22","guid":{"rendered":"http:\/\/www.professores.uff.br\/jcolombo\/?page_id=704"},"modified":"2018-07-18T09:17:41","modified_gmt":"2018-07-18T12:17:41","slug":"topicos-de-matematica-aplicada-gan00030-2018_1","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/jcolombo\/topicos-de-matematica-aplicada-gan00030-2018_1\/","title":{"rendered":"T\u00f3picos de Matem\u00e1tica Aplicada – GAN00030 – 2018_1"},"content":{"rendered":"

Carga hor\u00e1ria:<\/strong> 68 hs, turma A1.<\/p>\n

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Monitoria:<\/strong><\/p>\n

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Lista de Exerc\u00edcios para a P1<\/strong><\/p>\n

Lista 1 – Exerc\u00edcios p\u00e1g. 14 -16 da apostila da Maria Em\u00edlia e da Carla.
\nExerc\u00edcios de aprofundamento: Lista 1.1<\/a>, Lista 1.2<\/a>
\nLista 2\u00a0 P\u00e1gina 31 da apostila da Maria Em\u00edlia e da Carla.
\nLista 3\u00a0 P\u00e1gina 37 da apostila da Maria Em\u00edlia e da Carla.
\nLista 4\u00a0 P\u00e1gina 41 da apostila da Maria Em\u00edlia e da Carla.
\nLista 5\u00a0 P\u00e1gina 45 da apostila da Maria Em\u00edlia e da Carla.
\nLista 7\u00a0 P\u00e1gina 52 da apostila da Maria Em\u00edlia e da Carla.
\nLista 8\u00a0 P\u00e1gina 62 da apostila da Maria Em\u00edlia e da Carla.
\nLista 9\u00a0 P\u00e1gina 69 da apostila da Maria Em\u00edlia e da Carla.<\/p>\n

 <\/p>\n

Lista de Exerc\u00edcios para a P2<\/strong><\/p>\n

Lista 10 p\u00e1g.75 da apostila da Maria Em\u00edlia e da Carla.
\nLista 11 p\u00e1g. 81 da apostila da Maria Em\u00edlia e da Carla.
\nLista 12 p\u00e1g. 86 da apostila da Maria Em\u00edlia e da Carla.
\nLista 13 p\u00e1g. 90 da apostila da Maria Em\u00edlia e da Carla.
\nLista 14 p\u00e1g. 93 da apostila da Maria Em\u00edlia e da Carla.
\nLista 15 p\u00e1g. 96 da apostila da Maria Em\u00edlia e da Carla.
\nLista 16 p\u00e1g. 105 da apostila da Maria Em\u00edlia e da Carla.
\nLista 17 p\u00e1g. 110 da apostila da Maria Em\u00edlia e da Carla.
\nLista 18 p\u00e1g. 116 da apostila da Maria Em\u00edlia e da Carla.
\nLista 19 p\u00e1g. 119 da apostila da Maria Em\u00edlia e da Carla.<\/p>\n

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Hor\u00e1rio:<\/strong> 3\u00aa na sala IM-202G das 16 \u00e0s 19hs e 5\u00aa-feiras na sala IMG-202 das 16hs \u00e0s 18hs.
\nMeu hor\u00e1rio de atendimento:<\/strong> 4\u00aa-feiras, das 14-18hs em meu gabinete.<\/p>\n

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Provas<\/strong>
\nP1<\/a> –\u00a0 \/05\/2018 – P1_Gabarito<\/a>
\nP2\u00a0<\/a> – 03\/07\/2018 – P2_Gabarito<\/a>
\nVR<\/a> – 12\/07\/2018
\nVS – 17\/07\/2018<\/p>\n

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Cronograma<\/strong><\/p>\n

Aula \u00a0 \u00a0 Data\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Assunto<\/p>\n

01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 13\/03\u00a0\u00a0\u00a0\u00a0 Apresenta\u00e7\u00e3o\u00a0 da\u00a0 disciplina, ementa, bibliografia e avalia\u00e7\u00e3o. Iniciei o conte\u00fado: Fatora\u00e7\u00e3o, simplifica\u00e7\u00e3o, equa\u00e7\u00e3o do 2\u00aa grau.
\n02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 15\/03\u00a0\u00a0\u00a0\u00a0 Fun\u00e7\u00f5es: defini\u00e7\u00e3o, composi\u00e7\u00e3o, inversa e injetora e sobrejetora.
\n03\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 20\/03\u00a0\u00a0\u00a0 Ra\u00edzes de polin\u00f4mios, divis\u00e3o de polin\u00f4mios e fun\u00e7\u00e3o exponencial e logaritmica.
\n04\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 22\/03\u00a0\u00a0\u00a0 Limites: defini\u00e7\u00e3o e propriedades, limites laterais.
\n05\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 27\/03\u00a0\u00a0\u00a0 Limites envolvendo o infinito, Introdu\u00e7\u00e3o a derivada de uma fun\u00e7\u00e3o.
\nXX\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 29\/03\u00a0\u00a0\u00a0 Feriado
\n06\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 03\/04\u00a0\u00a0\u00a0 Derivadas – F\u00f3rmulas: derivada da constante; da soma e de x^n.
\n07\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 05\/04\u00a0\u00a0\u00a0 Derivadas – F\u00f3rmulas: derivada do produto, quociente e regra da cadeia.
\n08\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10\/04\u00a0\u00a0\u00a0 Derivada das fun\u00e7\u00f5es exponencial e logaritmo e derivadas impl\u00edcita.
\n09\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 12\/04\u00a0\u00a0\u00a0 Diferenciais e M\u00e1ximo & M\u00ednimo.
\n10 \u00a0\u00a0\u00a0 \u00a0\u00a017\/04\u00a0\u00a0\u00a0 Crit\u00e9rios para M\u00e1ximo & M\u00ednimo e concavidade
\n11 \u00a0\u00a0\u00a0 \u00a0 19\/04\u00a0\u00a0\u00a0 Derivadas de ordem superior, concavidade, gr\u00e1fico de fun\u00e7\u00f5es.
\n12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 24\/04\u00a0\u00a0\u00a0 Ass\u00edntotas, esbo\u00e7o do gr\u00e1fico de fun\u00e7\u00f5es.
\n13\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 26\/04\u00a0\u00a0\u00a0 Minimiza\u00e7\u00e3o e maximiza\u00e7\u00e3o, Teste<\/a>.
\nXX\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 01\/05\u00a0\u00a0\u00a0 Feriado – dia do trabalho
\n14\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 03\/05\u00a0\u00a0\u00a0 Aula de exerc\u00edcios
\n15\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a008\/05\u00a0\u00a0\u00a0 P1<\/a>
\n16\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10\/05\u00a0\u00a0\u00a0\u00a0 Corre\u00e7\u00e3o da P1 e Fun\u00e7\u00f5es de duas vari\u00e1veis
\n17 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 15\/05\u00a0\u00a0\u00a0 \u00a0 Sistemas de coordenadas tridimensionais, vetores, produto escalar,\u00a0 equa\u00e7\u00e3o de plano e reta no espa\u00e7o.
\n18 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 17\/05\u00a0\u00a0\u00a0\u00a0\u00a0 Gr\u00e1fico de fun\u00e7\u00f5es de duas vari\u00e1veis reais, curvas de n\u00edveis,\u00a0 reconhecimento de pontos de m\u00ednimo, m\u00e1ximo e pontos de cela.
\n19 \u00a0 \u00a0\u00a0\u00a0\u00a0 \u00a0 24\/05\u00a0\u00a0\u00a0\u00a0\u00a0 M\u00e1ximos e M\u00ednimos – crit\u00e9rios utilizando a Hessiana.
\nXX \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 29\/05\u00a0\u00a0\u00a0\u00a0\u00a0 N\u00e3o teve aula – greve dos caminhoneiros
\nXX \u00a0\u00a0 \u00a0 \u00a0 31\/05\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 N\u00e3o teve aula – greve dos caminhoneiros
\n20 \u00a0 \u00a0 \u00a0 \u00a0 05\/06 \u00a0\u00a0\u00a0\u00a0 Vetor Gradiente, Multiplicadores de Lagrange (Prof. S\u00e9rgio)
\n21\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 07\/06\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 Primitiva – Anti derivada (Prof. S\u00e9rgio)
\n22\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 12\/06\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 Integral definida (Prof. S\u00e9rgio)
\n23\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 14\/06\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 T\u00e9cnicas de integra\u00e7\u00e3o: mudan\u00e7a de vari\u00e1vel e integra\u00e7\u00e3o por parte (Prof. S\u00e9rgio)
\n24\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 19\/06\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Aula de exerc\u00edcios
\n25\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 21\/06 \u00a0 \u00a0\u00a0\u00a0\u00a0 Equa\u00e7\u00f5es Diferenciais
\n26\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 26\/06\u00a0\u00a0\u00a0 \u00a0\u00a0 Equa\u00e7\u00f5es Diferenciais + Aula de exerc\u00edcios
\n27\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a028\/06\u00a0\u00a0\u00a0 \u00a0\u00a0 Aula de exerc\u00edcios
\n28\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 03\/07\u00a0 \u00a0 \u00a0\u00a0 P2
\n29\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 05\/07\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Corre\u00e7\u00e3o e entrega da P2 + detalhes sobre a VR.
\n30 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10\/07\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Aula de exerc\u00edcios
\n31 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 12\/07\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 VR<\/a>
\n32\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 17\/07\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0VS<\/a>\u00a0\u00a0 Notas<\/a><\/p>\n

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Dia a Dia
\n<\/strong><\/p>\n

\"\"<\/p>\n

O estudo do limite<\/p>\n

\"\"<\/p>\n

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Ementa oficial
\n<\/strong><\/p>\n

Limite de fun\u00e7\u00f5es reais de uma vari\u00e1vel real
\nDerivadas de fun\u00e7\u00f5es reais de uma vari\u00e1vel real
\nFun\u00e7\u00f5es de Duas Vari\u00e1veis
\nIntegrais de fun\u00e7\u00f5es reais de uma vari\u00e1vel real
\nEqua\u00e7\u00f5es Diferenciais Ordin\u00e1rias<\/p>\n

Ementa Oficial da Disciplina<\/a><\/p>\n

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bibliografia<\/strong><\/p>\n