| Curso\/semestre<\/td>\n | Licenciatura em Matem\u00e1tica \/ S\u00e9timo<\/td>\n<\/tr>\n |
| Disciplina<\/td>\n | C\u00e1lculo Num\u00e9rico<\/td>\n<\/tr>\n |
| Car\u00e1ter<\/td>\n | ACA \u2013 Obrigat\u00f3rio<\/td>\n<\/tr>\n |
| Pr\u00e9-requisito<\/td>\n | Programa\u00e7\u00e3o em Softwares de Matem\u00e1tica(0100255) e C\u00e1lculo III (0100018)<\/td>\n<\/tr>\n |
| C\u00f3digo<\/td>\n | 0100260<\/td>\n<\/tr>\n |
| Depto.<\/td>\n | DME<\/td>\n<\/tr>\n |
| CHT<\/td>\n | 68 horas<\/td>\n<\/tr>\n |
| Cr\u00e9ditos<\/td>\n | 04<\/td>\n<\/tr>\n |
| \n Natureza<\/p>\n Ano\/sem<\/td>\n | \n 34 te\u00f3ricas \/ 34 pr\u00e1ticas<\/p>\n <\/td>\n<\/tr>\n |
| Prof. Resp.<\/td>\n | <\/td>\n<\/tr>\n |
| Objetivos<\/td>\n | \n Habilitar o estudante para a compreens\u00e3o e utiliza\u00e7\u00e3o de m\u00e9todos<\/p>\n num\u00e9ricos b\u00e1sicos necess\u00e1rios \u00e0 resolu\u00e7\u00e3o de problemas t\u00e9cnicos, que podem ser modelados matematicamente.<\/p>\n <\/td>\n<\/tr>\n |
| Ementa<\/td>\n | \n C\u00e1lculo num\u00e9rico de Ra\u00edzes de Equa\u00e7\u00f5es Alg\u00e9bricas e Transcendentes. Resolu\u00e7\u00e3o num\u00e9rica de Sistemas de Equa\u00e7\u00f5es Lineares. Aproxima\u00e7\u00e3o de Fun\u00e7\u00e3o Interpola\u00e7\u00e3o Polinomial e M\u00e9todo dos M\u00ednimos Quadrados. Resolu\u00e7\u00e3o Num\u00e9rica de Integrais. Resolu\u00e7\u00e3o Num\u00e9rica de Equa\u00e7\u00f5es Diferenciais.<\/p>\n <\/td>\n<\/tr>\n |
| Programa<\/td>\n | \n Aritm\u00e9tica de M\u00e1quina e a Condi\u00e7\u00e3o de um Problema<\/p>\n Condi\u00e7\u00e3o de um Problema<\/p>\n Condi\u00e7\u00e3o de um Algoritmo<\/p>\n Instabilidade de Problemas e Algoritmos (breve discuss\u00e3o)<\/p>\n <\/p>\n Resolu\u00e7\u00e3o Num\u00e9rica de Equa\u00e7\u00f5es Alg\u00e9bricas e Transcendentes<\/p>\n Introdu\u00e7\u00e3o ( sobre os tipos de M\u00e9todos Iterativos e Algoritmo geral de implementa\u00e7\u00e3o)<\/p>\n Enumera\u00e7\u00e3o, Localiza\u00e7\u00e3o e Isolamento de ra\u00edzes<\/p>\n Estimadores de Exatid\u00e3o<\/p>\n Ordem de Converg\u00eancia<\/p>\n M\u00e9todos de Quebra<\/p>\n M\u00e9todo da Bisse\u00e7\u00e3o<\/p>\n M\u00e9todo da Falsa Posi\u00e7\u00e3o<\/p>\n M\u00e9todos de Ponto Fixo<\/p>\n M\u00e9todo Iterativo Linear<\/p>\n M\u00e9todo de Newton-Raphson<\/p>\n M\u00e9todo de Schr\u00f6der<\/p>\n M\u00e9todos de M\u00faltiplos Passos<\/p>\n M\u00e9todo da Secante<\/p>\n M\u00e9todo de M\u00fcller<\/p>\n Acelera\u00e7\u00e3o da Converg\u00eancia<\/p>\n Compara\u00e7\u00e3o dos M\u00e9todos<\/p>\n Estudo especial sobre Equa\u00e7\u00f5es Polinomiais<\/p>\n Propriedades<\/p>\n M\u00e9todo de Newton-Raphson para polin\u00f4mios<\/p>\n <\/p>\n Resolu\u00e7\u00e3o de Sistemas de Equa\u00e7\u00f5es Lineares e N\u00e3o-lineares<\/p>\n Introdu\u00e7\u00e3o<\/p>\n Normas de Matrizes<\/p>\n Erros na Resolu\u00e7\u00e3o de Sistemas Lineares<\/p>\n Condicionamento de Sistemas Lineares e Instabilidade<\/p>\n M\u00e9todos Diretos<\/p>\n Elimina\u00e7\u00e3o Gaussiana<\/p>\n Fatora\u00e7\u00e3o (Decomposi\u00e7\u00e3o) LU<\/p>\n Fatora\u00e7\u00e3o de Cholesky<\/p>\n Fatora\u00e7\u00e3o QR<\/p>\n M\u00e9todos Iterativos<\/p>\n Teorema de Cauchy<\/p>\n Interpreta\u00e7\u00e3o geom\u00e9trica de equa\u00e7\u00e3o e solu\u00e7\u00f5es<\/p>\n M\u00e9todo de is\u00f3clinas<\/p>\n Tipos particulares das equa\u00e7\u00f5es e m\u00e9todos da sua resolu\u00e7\u00e3o: equa\u00e7\u00f5es de vari\u00e1veis separ\u00e1veis, equa\u00e7\u00f5es homog\u00eaneas, equa\u00e7\u00f5es lineares, equa\u00e7\u00f5es de diferenciais exatas e redut\u00edveis a essas<\/p>\n Aplica\u00e7\u00f5es aos problemas f\u00edsicos e geom\u00e9tricos<\/p>\n Sistemas N\u00e3o-lineares<\/p>\n M\u00e9todo de Newton<\/p>\n M\u00e9todo de Newton Modificado<\/p>\n M\u00e9todos Quase-Newton<\/p>\n <\/p>\n Interpola\u00e7\u00e3o<\/p>\n Introdu\u00e7\u00e3o ( sobre os tipos de interpola\u00e7\u00e3o)<\/p>\n Interpola\u00e7\u00e3o Polinomial<\/p>\n Polin\u00f4mio Interpolador<\/p>\n Forma de Lagrange do Polin\u00f4mio Interpolador<\/p>\n Forma de Newton do Polin\u00f4mio Interpolador<\/p>\n Forma de Newton-Gregory do Polin\u00f4mio Interpolador<\/p>\n Estudo do Erro na Interpola\u00e7\u00e3o<\/p>\n Grau do Polin\u00f4mio Interpolador<\/p>\n Interpola\u00e7\u00e3o Inversa<\/p>\n Interpola\u00e7\u00e3o usando Splines<\/p>\n – Introdu\u00e7\u00e3o sobre Fun\u00e7\u00f5es Spline<\/p>\n – Spline Linear Interpolante<\/p>\n – Spline C\u00fabica Interpolante<\/p>\n Coment\u00e1rio sobre Aproxima\u00e7\u00e3o de Fun\u00e7\u00f5es<\/p>\n <\/p>\n Ajuste de Fun\u00e7\u00f5es<\/p>\n Introdu\u00e7\u00e3o (sobre o crit\u00e9rio de ajuste)<\/p>\n M\u00e9todo dos Quadrados M\u00ednimos<\/p>\n Caso Discreto<\/p>\n Caso Cont\u00ednuo<\/p>\n Caso N\u00e3o-linear nos Par\u00e2metros<\/p>\n Ajuste com Polin\u00f4mios Ortogonais<\/p>\n An\u00e1lise Harm\u00f4nica (Aproxima\u00e7\u00e3o de Fourier)<\/p>\n <\/p>\n Diferencia\u00e7\u00e3o e Integra\u00e7\u00e3o Num\u00e9rica<\/p>\n Diferencia\u00e7\u00e3o<\/p>\n Diferencia\u00e7\u00e3o com Polin\u00f4mio Interpolador na Forma de Newton<\/p>\n Erros de Truncamento<\/p>\n Outras F\u00f3rmulas de Diferencia\u00e7\u00e3o Num\u00e9rica<\/p>\n Coment\u00e1rios sobre a Instabilidade da Diferencia\u00e7\u00e3o Num\u00e9rica<\/p>\n Integra\u00e7\u00e3o<\/p>\n Introdu\u00e7\u00e3o (sobre os objetivos e metodologias de Integra\u00e7\u00e3o)<\/p>\n F\u00f3rmulas de Newton-Cotes\u00a0\u00a0 F\u00f3rmulas de Gauss<\/p>\n M\u00e9todo de Romberg<\/p>\n Coment\u00e1rios sobre a compara\u00e7\u00e3o dos m\u00e9todos<\/p>\n <\/p>\n Resolu\u00e7\u00e3o Num\u00e9rica de Equa\u00e7\u00f5es Diferenciais Ordin\u00e1rias<\/p>\n Introdu\u00e7\u00e3o (sobre a terminologia de EDO)<\/p>\n Problemas de Valor Inicial<\/p>\n M\u00e9todos de Passo Simples<\/p>\n M\u00e9todos de Passo M\u00faltiplo<\/p>\n M\u00e9todos de Previs\u00e3o-Corre\u00e7\u00e3o<\/p>\n Equa\u00e7\u00f5es de Ordem Superior<\/p>\n Problemas de Valor de Contorno- M\u00e9todo das Diferen\u00e7as Finitas.<\/p>\n <\/td>\n<\/tr>\n |
| Bibliografia<\/td>\n | \n B\u00e1sica<\/p>\n BARROSO, L. et alii. C\u00e1lculo Num\u00e9rico. S\u00e3o Paulo, \u00a0 Haper & Row do Brasil, 1987.<\/p>\n CL\u00c1UDIO, Dalc\u00eddio M. M. & MARINS, Jussara M., C\u00e1lculo Num\u00e9rico \u00a0 Computacional Teoria e Pr\u00e1tica. S\u00e3o Paulo, Atlas, 1989.<\/p>\n DEMIDOVICH, B. P. & MARON, I. A. Computational Mathematics. English Translation. Mir Publishers, 1987.<\/p>\n DORN, W. S. & McCRACKEN, D. D. C\u00e1lculo Num\u00e9rico com estudos de casos em FORTRAN IV. \u00a0 \u00a0 E. Campus, 1978.<\/p>\n <\/p>\n Complementar<\/p>\n FORSYTHE, G. E. \u00a0 MALCOM, M. A & MOLER, C. B. Computer Methods for\u00a0\u00a0 Mathematical Computations. New Jersey, Prentice-Hall, Inc., 1977.<\/p>\n HAMMING, R.W. Numerical Methods for Scientists and Engineers. Graw-Hill Book Company, Inc. 1962.<\/p>\n HILDEBRAND, F. J. \u00a0 Introduction to Numerical Analysis. McGraw-Hill Book Company, Inc. 1956.<\/p>\n HUMES, A. F. P. C. et alii. No\u00e7\u00f5es de C\u00e1lculo Num\u00e9rico. S\u00e3o Paulo, McGraw-Hill do Brasil, 1984.<\/p>\n MATHEWS, J. H. Numerical Methods for Mathematics, Science and Engineering. Second Edition. Prentice Hall International, 1992.<\/p>\n RUGIERO, M\u00e1rcia A. G. & LOPES, Vera L. R. C\u00e1lculo Num\u00e9rico aspectos Te\u00f3ricos e Computacionais. 2. ed. S\u00e3o Paulo, Makron Books do Brasil,1996.<\/p>\n SCHEID, Francis. An\u00e1lise Num\u00e9rica. 2. ed. Lisboa, McGraw- Hill de Portugal, 1991.<\/p>\n VALEN\u00c7A, Maria Raquel. M\u00e9todos Num\u00e9ricos. Lisboa, Instituto Nacional de Investiga\u00e7\u00e3o Cient\u00edfica, 1988.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n <\/p>\n","protected":false},"excerpt":{"rendered":" C\u00e1lculo Num\u00e9rico Curso\/semestre Licenciatura em Matem\u00e1tica \/ S\u00e9timo Disciplina C\u00e1lculo Num\u00e9rico Car\u00e1ter ACA \u2013 Obrigat\u00f3rio Pr\u00e9-requisito Programa\u00e7\u00e3o em Softwares de Matem\u00e1tica(0100255) e C\u00e1lculo III (0100018) C\u00f3digo 0100260 Depto. DME CHT 68 horas Cr\u00e9ditos 04 Natureza Ano\/sem 34 te\u00f3ricas \/ 34 pr\u00e1ticas Prof. Resp. Objetivos Habilitar o estudante para a compreens\u00e3o e utiliza\u00e7\u00e3o de m\u00e9todos […]<\/p>\n","protected":false},"author":466,"featured_media":0,"parent":166,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-sem-sidebar.php","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-245","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P7sk8J-3X","_links":{"self":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/245","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/users\/466"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/comments?post=245"}],"version-history":[{"count":1,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/245\/revisions"}],"predecessor-version":[{"id":246,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/245\/revisions\/246"}],"up":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/166"}],"wp:attachment":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/media?parent=245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}} |