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TSHzAkg5NGAB0GT3oDJkh0kZ33opMKI2wDiijAZNfAHiqSOpSD+5rKZAHUYJrCSSJPnt3rObJBIz3rtiLuo2x1q7CR0+21W4znPc1d+Yj0rkC1AJWQB02oQotSUnzyD9v8A00IJC/vVHx8SVdwofyoBGSpR6Z69KtClIUf/ABVEqJAoAHNSAUQoK8vtVRsrcVQbAAfm61cskEb96ARcVDlAz3qigQnKqMZ2+lWLJG2e9A0KcygBuOneikVKIOAf3ooOuJ//2Q==)
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Professor NICOLAU SALDANHA Data de início: 07 de janeiro de 2020 Horário: Terças/Quintas e Sábados, 9h-12h Local: L856 |
MAT 1605 - Introdução à Análise (turma 3ZB) MAT 2614 - Tópicos de Análise I (turma 3ZB) |
EMENTA:
* Conjuntos e relações;
* Demonstrações por indução e contradição, exemplos;
* Números naturais. Cardinalidades finitas e infinitas, enumerabilidade;
* Números racionais e reais. Limites e convergência de sequências e séries numéricas;
* Topologia da reta: abertos, fechados, compactos, conexos, densos;
* Conjunto ternário de Cantor;
* Funções contínuas: Teorema de Bolzano-Weierstrass, Teorema do Valor Intermediário, continuidade uniforme.