{"id":4731,"date":"2024-09-18T15:58:27","date_gmt":"2024-09-18T18:58:27","guid":{"rendered":"https:\/\/www.ufrgs.br\/ppgeq\/?page_id=4731"},"modified":"2024-09-18T16:09:18","modified_gmt":"2024-09-18T19:09:18","slug":"eqp0052-metodos-numericos-i","status":"publish","type":"page","link":"https:\/\/www.ufrgs.br\/ppgeq\/eqp0052-metodos-numericos-i\/","title":{"rendered":"EQP0052 \u2013 M\u00c9TODOS NUM\u00c9RICOS I"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"4731\" class=\"elementor elementor-4731\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d12fc6f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d12fc6f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1e3d62c\" data-id=\"1e3d62c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cd3f896 elementor-widget elementor-widget-text-editor\" data-id=\"cd3f896\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2><strong>DISCIPLINA<\/strong><\/h2><p><strong>EQP0052 \u2013 M\u00c9TODOS NUM\u00c9RICOS I<\/strong><\/p><p>\u00a0<\/p><h2><strong>N\u00daMERO DE CR\u00c9DITOS<\/strong><\/h2><p>03<\/p><p>\u00a0<\/p><h2><strong>PR\u00c9-REQUISITOS:<\/strong><\/h2><p>EQP0006 &#8211; M\u00e9todos Matem\u00e1ticos na Engenharia I<\/p><p>\u00a0<\/p><h2><strong>MINISTRANTE<\/strong><\/h2><ul><li><p>Prof. Andr\u00e9 R. Muniz<\/p><\/li><\/ul><h2>\u00a0<\/h2><h2><strong>S\u00daMULA<\/strong><\/h2><p>Fundamentos de algoritmos e programa\u00e7\u00e3o. Solu\u00e7\u00e3o de sistemas de equa\u00e7\u00f5es alg\u00e9bricas lineares e n\u00e3o-lineares. Solu\u00e7\u00e3o de problemas de valor inicial e de valor de contorno (sistemas de equa\u00e7\u00f5es diferenciais ordin\u00e1rias e equa\u00e7\u00f5es diferenciais parciais). Integra\u00e7\u00e3o e deriva\u00e7\u00e3o num\u00e9rica. Fundamentos de otimiza\u00e7\u00e3o. Regress\u00e3o n\u00e3o-linear. \u00a0Fundamentos de simula\u00e7\u00e3o estoc\u00e1stica.<\/p><h2>OBJETIVOS<\/h2><p>Expandir e aprofundar os conhecimentos em m\u00e9todos num\u00e9ricos adquiridos em EQP0006, focando na aplica\u00e7\u00e3o dos mesmos em diversas \u00e1reas de interesse na engenharia qu\u00edmica (cin\u00e9tica qu\u00edmica, transfer\u00eancia de calor e massa, mec\u00e2nica de fluidos, c\u00e1lculo de reatores, opera\u00e7\u00f5es unit\u00e1rias, etc.), usando softwares matem\u00e1ticos (Matlab e\/ou Scilab).<\/p><h2>\u00a0<\/h2><h2>CONTE\u00daDO PROGRAM\u00c1TICO<\/h2><ol><li>Fundamentos de programa\u00e7\u00e3o (usando software matem\u00e1tico): opera\u00e7\u00f5es com escalares, vetores e matrizes. Fun\u00e7\u00f5es. Loops. Condicionais. Entrada e sa\u00edda de dados. Ferramentas gr\u00e1ficas.<\/li><li>Solu\u00e7\u00e3o de sistemas de equa\u00e7\u00f5es alg\u00e9bricas lineares (densos e esparsos) e n\u00e3o-lineares.<\/li><li>Integra\u00e7\u00e3o e deriva\u00e7\u00e3o num\u00e9rica.<\/li><li>Solu\u00e7\u00e3o de sistemas de equa\u00e7\u00f5es diferenciais ordin\u00e1rias (PVI, PVC).<\/li><li>Solu\u00e7\u00e3o de equa\u00e7\u00f5es diferenciais parciais.<\/li><li>Fundamentos de otimiza\u00e7\u00e3o.<\/li><li>Regress\u00e3o n\u00e3o-linear, estima\u00e7\u00e3o de par\u00e2metros.<\/li><li>Fundamentos de simula\u00e7\u00e3o estoc\u00e1stica (n\u00fameros aleat\u00f3rios, Monte Carlo).<\/li><\/ol><h2><strong>METODOLOGIA<\/strong><\/h2><p>Aulas te\u00f3rico-pr\u00e1ticas em laborat\u00f3rio de computa\u00e7\u00e3o. Apresenta\u00e7\u00e3o de semin\u00e1rios.<\/p><h2>\u00a0<\/h2><h2><strong>SISTEMA DE AVALIA\u00c7\u00c3O<\/strong><\/h2><p>Avalia\u00e7\u00e3o baseada em trabalhos computacionais (em sala de aula e extra-classe) e semin\u00e1rios.<\/p><h2><strong>BIBLIOGRAFIA RECOMENDADA<br \/><\/strong><\/h2><ul><li>J. BEERS, Numerical Methods for Chemical Engineering: Applications in MATLAB\u00ae, Cambridge University Press.<\/li><li>T.F. EDGAR, &amp; D.M. HIMMELBLAU, Optimization of Chemical Processes, McGraw-Hill.<\/li><li>H. FERZIGER, M. PERIC, Computational Methods for Fluid Dynamics, Springer.<\/li><li>GILAT &amp; V. SUBRAMANIAM, Numerical methods for engineers and scientists: an introduction with applications using MATLAB, Wiley.<\/li><li>KREYSZIG, Advanced Engineering Mathematics, Wiley &amp; Sons.<\/li><li>R. MALISKA, Transfer\u00eancia de Calor e Mec\u00e2nica dos Fluidos Computacional, LTC editora.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"DISCIPLINA EQP0052 \u2013 M\u00c9TODOS NUM\u00c9RICOS I \u00a0 N\u00daMERO DE CR\u00c9DITOS 03 \u00a0 PR\u00c9-REQUISITOS: EQP0006 &#8211; M\u00e9todos Matem\u00e1ticos na Engenharia I \u00a0 MINISTRANTE Prof. \n<a class=\"moretag\" href=\"https:\/\/www.ufrgs.br\/ppgeq\/eqp0052-metodos-numericos-i\/\"> <br \/><\/a>","protected":false},"author":10,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[37],"tags":[],"class_list":["post-4731","page","type-page","status-publish","hentry","category-disciplinas"],"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/pages\/4731","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/comments?post=4731"}],"version-history":[{"count":4,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/pages\/4731\/revisions"}],"predecessor-version":[{"id":4748,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/pages\/4731\/revisions\/4748"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/media?parent=4731"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/categories?post=4731"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/tags?post=4731"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}