{"id":519,"date":"2025-10-14T23:31:59","date_gmt":"2025-10-15T02:31:59","guid":{"rendered":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/?page_id=519"},"modified":"2025-10-15T09:43:28","modified_gmt":"2025-10-15T12:43:28","slug":"tfa-materiais","status":"publish","type":"page","link":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/tfa-materiais\/","title":{"rendered":"O Teorema Fundamental da \u00c1lgebra"},"content":{"rendered":"\t\t
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O Teorema Fundamental da Algebra<\/b><\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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Material do Curso<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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Playlist TFA<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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Acess a Playlist: Teorema Fundamental da \u00c1lgebra.<\/strong><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Software<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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Tenha acesso aos Softwares usados na Oficina:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Roda em Java, Bom para Computador.<\/p>

Baixe a \u00faltima vers\u00e3o do Java Aqui<\/strong><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Vers\u00e3o no Navegador, bom para dispostivos moveis. Roda tambem em computador<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Textos<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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Tenha acesso aos Textos de apoio da Oficina:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Uma Aula<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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N\u00fameros Complexos, Teorema Fundamental da \u00c1lgebra, Teorema de Brouwer<\/span><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
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Introdu\u00e7\u00e3o \u2014<\/span>\u00a0<\/span>0:00:07<\/span><\/a><\/strong><\/p>

Hist\u00f3ria dos N\u00fameros Complexos (anima\u00e7\u00e3o no canal:<\/span>\u00a0<\/span><\/span>\u00a0\u00a0\u00a0\u2022 Dal Ferro, Tartaglia, Cardano e Ferrari – …\u00a0<\/strong>\u00a0<\/span><\/span><\/a>) \u2014<\/span>\u00a0<\/span>0:00:52<\/span><\/a><\/strong><\/p>

Conte\u00fado da aula \u2014<\/span>\u00a0<\/span>0:01:16<\/span><\/a><\/strong><\/p>

Forma de lidar com uma equa\u00e7\u00e3o de terceiro grau \u2014<\/span>\u00a0<\/span>0:03:58<\/span><\/a><\/strong><\/p>

Rela\u00e7\u00e3o entre p e q para exist\u00eancia de tr\u00eas ra\u00edzes reais distintas\/ Transforma\u00e7\u00e3o em bic\u00fabica \u2014<\/span>\u00a0<\/span><\/span>0:10:06<\/span><\/strong><\/a><\/p>

Impasse na condi\u00e7\u00e3o para exist\u00eancia de tr\u00eas ra\u00edzes reais distintas \u2014<\/span>\u00a0<\/span><\/span>0:15:20<\/span><\/strong><\/a><\/p>

Continua\u00e7\u00e3o da Hist\u00f3ria dos Complexos \u2014<\/span>\u00a0<\/span>0:19:33<\/span><\/a><\/strong><\/p>

N\u00fameros complexos: pares ordenados no plano complexo \u2014 Propriedades dos complexos \u2014<\/span>\u00a0<\/span><\/span>0:23:43<\/span><\/strong><\/a><\/p>

Forma matricial dos complexos \u2014<\/span>\u00a0<\/span>0:25:56<\/span><\/a><\/strong><\/p>

Forma polar ou trigonom\u00e9trica dos complexos \u2014<\/span>\u00a0<\/span>0:28:52<\/span><\/a><\/strong><\/p>

Forma polar: multiplica\u00e7\u00e3o de complexos \u2014<\/span>\u00a0<\/span><\/span>0:30:02<\/span><\/strong><\/a><\/p>

Conjugado de um n\u00famero complexo \u2014<\/span>\u00a0<\/span><\/span>0:36:02<\/span><\/strong><\/a><\/p>

Lidar com o inverso de um complexo utilizando seu conjugado \u2014<\/span>\u00a0<\/span>0:37:45<\/span><\/a><\/strong><\/p>

Pot\u00eancias de n\u00fameros complexos \u2014<\/span>\u00a0<\/span>0:38:41<\/span><\/a><\/strong><\/p>

As ra\u00edzes en\u00e9simas de um n\u00famero complexo s\u00e3o os v\u00e9rtices de um pol\u00edgono regular de n lados, contido no plano complexo \u2014<\/span>\u00a0<\/span>0:39:36<\/span><\/a><\/strong><\/p>

As ra\u00edzes en\u00e9simas de um complexo formam uma PG com soma total nula \u2014<\/span>\u00a0<\/span>0:51:38<\/span><\/a><\/strong><\/p>

Coment\u00e1rio sobre limite de polin\u00f4mios com vari\u00e1vel complexa \u2014<\/span>\u00a0<\/span><\/span>0:57:13<\/span><\/strong><\/a><\/p>

Teorema Fundamental da \u00c1lgebra (demonstra\u00e7\u00e3o geom\u00e9trica) \u2014<\/span>\u00a0<\/span>1:00:12<\/span><\/a><\/strong><\/p>

TFA: Fun\u00e7\u00e3o de um plano em outro \u2014<\/span>\u00a0<\/span><\/span>1:07:47<\/span><\/strong><\/a><\/p>

Conto sobre o TFA: Programa para encontrar uma raiz de um polin\u00f4mio \u2014<\/strong><\/span>\u00a0<\/span>1:12:09<\/span><\/a><\/strong><\/p>

TFA: Pode-se garantir que um polin\u00f4mio qualquer tem alguma raiz? \/ Quantas ra\u00edzes tem um polin\u00f4mio de grau n? (Interpreta\u00e7\u00f5es geom\u00e9tricas) \u2014<\/strong><\/span>\u00a0<\/span>1:15:22<\/span><\/a><\/strong><\/p>

Enunciado do Teorema do ponto fixo de Brouwer \u2014<\/span>\u00a0<\/span>1:34:49<\/span><\/a><\/strong><\/p>

Coment\u00e1rios finais: percurso hist\u00f3rico realizado na aula \u2014<\/span>\u00a0<\/span>1:41:21<\/span><\/a><\/strong><\/p>

Playlist TFA:<\/span>\u00a0<\/span><\/span>\u00a0\u00a0\u00a0\u2022 Teorema Fundamental da \u00c1lgebra em meia hora\u00a0\u00a0<\/strong><\/span><\/a>\u00a0<\/span><\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

O Teorema Fundamental da Algebra Material do Curso Playlist TFA Acess a Playlist: Teorema Fundamental da \u00c1lgebra. https:\/\/youtu.be\/1ZEDjLNepwA?si=uj9M4g22efGwgC34https:\/\/youtu.be\/sp4gdt5LORM?si=ar9BqmWNrrf-j64hhttps:\/\/youtu.be\/p4EWXyXumQY?si=G4XaA7RNvgAXPLvdhttps:\/\/youtu.be\/h3jxxXgI_mM?si=Gdu7x2Xj1ty35NTphttps:\/\/youtu.be\/-gnLrqJauMQ?si=fnWRLgNITWVaYQB8https:\/\/youtu.be\/M7C1RpXuydw?si=gTIAyMeYmkLwQ752https:\/\/youtu.be\/Ujf_1yCFQL0?si=1KtL9DXZqAuSZEtahttps:\/\/youtu.be\/As1YFg74N8o?si=t0cxkD7AgHeRvMeahttps:\/\/youtu.be\/I-wq03PBfWo?si=qRLSbqpzbdWH-2sl Software Tenha acesso aos Softwares usados na Oficina: Software TFA – Computador Roda em Java, Bom para Computador. Baixe a \u00faltima vers\u00e3o do Java Aqui Software TFA – Navegador Vers\u00e3o no Navegador, […]<\/p>\n","protected":false},"author":11,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/template-pagebuilder-full-width.php","meta":{"_uag_custom_page_level_css":"","footnotes":""},"class_list":["post-519","page","type-page","status-publish","hentry"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"hestia-blog":false},"uagb_author_info":{"display_name":"hugosantos","author_link":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/author\/hugosantos\/"},"uagb_comment_info":0,"uagb_excerpt":"O Teorema Fundamental da Algebra Material do Curso Playlist TFA Acess a Playlist: Teorema Fundamental da \u00c1lgebra. https:\/\/youtu.be\/1ZEDjLNepwA?si=uj9M4g22efGwgC34https:\/\/youtu.be\/sp4gdt5LORM?si=ar9BqmWNrrf-j64hhttps:\/\/youtu.be\/p4EWXyXumQY?si=G4XaA7RNvgAXPLvdhttps:\/\/youtu.be\/h3jxxXgI_mM?si=Gdu7x2Xj1ty35NTphttps:\/\/youtu.be\/-gnLrqJauMQ?si=fnWRLgNITWVaYQB8https:\/\/youtu.be\/M7C1RpXuydw?si=gTIAyMeYmkLwQ752https:\/\/youtu.be\/Ujf_1yCFQL0?si=1KtL9DXZqAuSZEtahttps:\/\/youtu.be\/As1YFg74N8o?si=t0cxkD7AgHeRvMeahttps:\/\/youtu.be\/I-wq03PBfWo?si=qRLSbqpzbdWH-2sl Software Tenha acesso aos Softwares usados na Oficina: Software TFA – Computador Roda em Java, Bom para Computador. Baixe a \u00faltima vers\u00e3o do Java Aqui Software TFA – Navegador Vers\u00e3o no Navegador, […]","_links":{"self":[{"href":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/wp-json\/wp\/v2\/pages\/519","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/wp-json\/wp\/v2\/comments?post=519"}],"version-history":[{"count":10,"href":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/wp-json\/wp\/v2\/pages\/519\/revisions"}],"predecessor-version":[{"id":532,"href":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/wp-json\/wp\/v2\/pages\/519\/revisions\/532"}],"wp:attachment":[{"href":"https:\/\/sbm.org.br\/ii-encontro-nacional-do-profmat\/wp-json\/wp\/v2\/media?parent=519"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}