{"id":25,"date":"2023-08-28T14:17:13","date_gmt":"2023-08-28T17:17:13","guid":{"rendered":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/?page_id=25"},"modified":"2023-09-04T14:30:31","modified_gmt":"2023-09-04T17:30:31","slug":"exercicios-recomendados","status":"publish","type":"page","link":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/exercicios-recomendados\/","title":{"rendered":"Exerc\u00edcios recomendados"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td><a href=\"https:\/\/disciplinas.ime.unicamp.br\/ma311\/exercicios-recomendados\/#9a.edicao\">9\u00aa edi\u00e7\u00e3o<\/a><\/td><td><a href=\"https:\/\/disciplinas.ime.unicamp.br\/ma311\/exercicios-recomendados\/#8a.edicao\">8\u00aa edi\u00e7\u00e3o<\/a><\/td><td>&nbsp;<a href=\"https:\/\/disciplinas.ime.unicamp.br\/ma311\/exercicios-recomendados\/#7a.edicao\">7\u00aa edi\u00e7\u00e3o<\/a><\/td><td><a rel=\"noreferrer noopener\" href=\"http:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-content\/uploads\/sites\/9\/2023\/09\/Lista-Series-Gde.pdf\" target=\"_blank\">Sequ\u00eancias e S\u00e9ries <\/a><br>(Retirado do site da professora ketty)<\/td><td><a rel=\"noreferrer noopener\" href=\"http:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-content\/uploads\/sites\/9\/2023\/09\/listaintegrais.pdf\" target=\"_blank\">Lista de Integrais<\/a><br>(Retirado do site do professor Ademir Pastor)<\/td><td><a href=\"http:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-content\/uploads\/sites\/9\/2023\/09\/TabelaTransformadaLaplace.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Tab. Transf. de Laplace<\/a><br>(Retirado do site do professor Ademir Pastor)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<h4><a name=\"9a.edicao\"><\/a>9\u00aa edi\u00e7\u00e3o<\/h4>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><thead><tr><th>Se\u00e7\u00e3o<\/th><th>Assunto<\/th><th>Problemas Selecionados<\/th><\/tr><\/thead><tbody><tr><td>1.3<\/td><td>Introdu\u00e7\u00e3o; Motiva\u00e7\u00e3o; Classifica\u00e7\u00e3o das Equa\u00e7\u00f5es Diferenciais<\/td><td>1.3: 1, 4-8, 12-14, 17-19, 21, 22, 25, 28<\/td><\/tr><tr><td>&nbsp;2.1<\/td><td>Equa\u00e7\u00f5es Lineares de 1a. Ordem;<br>M\u00e9todo dos Fatores Integrantes<\/td><td>2.1: 1c, 5c, 11c, 14, 16, 19, 20, 29a, 30, 33<\/td><\/tr><tr><td>2.2<\/td><td>Equa\u00e7\u00f5es Separ\u00e1veis; Equa\u00e7\u00f5es Homog\u00eaneas<\/td><td>2.2: 1, 5, 7, 11a, 16a, 20a, 30, 31a, 31b, 33a, 33b,&nbsp;38a, 38b<\/td><\/tr><tr><td>2.6<\/td><td>Equa\u00e7\u00f5es Exatas; Fatores Integrantes<\/td><td>2.6: 3, 7, 10-12, 15, 19, 20, 25, 28, 31<\/td><\/tr><tr><td>2.4<\/td><td>M\u00e9todos de Substitui\u00e7\u00e3o; Equa\u00e7\u00e3o Bernoulli;&nbsp;Teoremas de Exist\u00eancia e Unicidade<\/td><td>2.4: 1, 3, 4, 6, 7, 9, 12, 21, 22, 23, 24, 25, 27, 28, 32, 33<\/td><\/tr><tr><td>2.9, 3.1 e 3.2<\/td><td>EDO&#8217;s de 2a. ordem;&nbsp;Wronskiano<\/td><td>3.1: 1, 3, 5, 7, 11, 16, 17, 20-23, 25<br>2.9: 37, 39, 45, 48, 51<br>3.2: 29, 31, 33, 35, 38, 39<\/td><\/tr><tr><td>3.2, 3.5, 4.1 e 4.2<\/td><td>Equa\u00e7\u00f5es Lineares Homog\u00eaneas com coeficientes constantes<\/td><td>3.2: 1, 3 , 5, 9, 11, 13, 14, 17, 19, 24, 26, 27<br>3.5: 1, 5, 9, 11, 13, 15, 19a, 21a, 25a, 28-32 (Antiga se\u00e7\u00e3o 3.6)<br>4.1: 1, 4, 5, 7, 9, 11, 13, 14, 17, 19c<br>4.2: 1, 2, 3, 4, 5, 6, 11, 13, 19, 25, 31, 35, 37<\/td><\/tr><tr><td>3.3 &#8211; 3.4<\/td><td>Ra\u00edzes Complexas e Repetidas da Equa\u00e7\u00e3o Caracter\u00edstica<\/td><td>3.3: 1, 2, 3, 4, 5, 6, 7, 11, 12, 19, 20, 22, 27, 33<br>3.4: 1, 5, 11, 13, 15, 17, 20, 23, 25, 31, 38-40<\/td><\/tr><tr><td>4.1 &#8211; 4.2<\/td><td>EDO&#8217;s de Ordem Superior<\/td><td>4.1: 1, 4, 5, 7, 9, 11, 13, 14, 17, 19c<br>4.2: 1, 2, 3, 4, 5, 6, 11, 13, 19, 25, 31, 35, 37<\/td><\/tr><tr><td>3.3&nbsp; e 4.3<\/td><td>Equa\u00e7\u00f5es N\u00e3o-Homog\u00eaneas e o M\u00e9todo dos Coeficientes Indeterminados<\/td><td>3.5: 1, 5, 9, 11, 13, 15, 19a,<br>21a, 25a, 28-32<\/td><\/tr><tr><td>3.6 e 4.4<\/td><td>Equa\u00e7\u00f5es N\u00e3o-Homog\u00eaneas e o M\u00e9todo de Varia\u00e7\u00e3o de Par\u00e2metros<\/td><td>3.6: 5, 7, 9, 13, 15, 17<br>4.4: 1, 3, 5, 9, 13<\/td><\/tr><tr><td>5.4<\/td><td>Equa\u00e7\u00f5es de Euler<\/td><td>5.4: 1, 3, 5, 9, 10, 15, 35, 36 e 37<\/td><\/tr><tr><td>6.1<\/td><td>Defini\u00e7\u00e3o da Transformada de Laplace<\/td><td>6.1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 21-24, 26, 27<\/td><\/tr><tr><td>6.2<\/td><td>Solu\u00e7\u00f5es de PVI&#8217;s<\/td><td>6.2: 1-3, 5, 8, 9, 11, 13, 21, 28, 29, 30, 31, 32, 33, 34, 36, 37<\/td><\/tr><tr><td>6.3<\/td><td>Fun\u00e7\u00f5es Degrau<\/td><td>6.3: 1, 3, 6,13-16, 19, 21-23, 25-32, 34,35, 37, 38<\/td><\/tr><tr><td>6.4 e 6.5<\/td><td>Equa\u00e7\u00f5es com for\u00e7amento&nbsp;descont\u00ednuos; Fun\u00e7\u00f5es de&nbsp; Impulso<\/td><td>6.4: 1, 5, 7, 9, 13<br>6.5: 1, 2, 4, 5, 11<\/td><\/tr><tr><td>6.6<\/td><td>A Convolu\u00e7\u00e3o<\/td><td>6.6: 2-11, 13,14,16,18,21, 22<\/td><\/tr><tr><td>7.1<\/td><td>Sistemas de Equa\u00e7\u00f5es Diferenciais Lineares<\/td><td>7.1: 1-5, 7a, 7b, 8<\/td><\/tr><tr><td>7.2 e 7.3<\/td><td>Revis\u00e3o de Matrizes; Independ\u00eancia Linear; Autovalores e Autovetores<\/td><td>7.2: 22, 23, 26<br>7.3: 7-9, 11, 13-17, 19, 20, 23<\/td><\/tr><tr><td>7.4 e 7.5<\/td><td>Sistemas de Equa\u00e7\u00f5es Lineares de 1a. Ordem;<br>Sistemas Lineares Homog\u00eaneos com Coeficientes Constantes<\/td><td>7.4: 6, 7<br>7.5: 1, 3, 5, 7, 11, 14, 15, 17, 19, 20, 22, 28a, 28b, 28c<\/td><\/tr><tr><td>7.6 &#8211; 7.8<\/td><td>Autovalores Complexos;<br>Autovalores Repetidos<\/td><td>7.6: 1, 3, 4, 7, 9, 21<br>7.8: 1, 3, 7, 10, 11, 13, 18<\/td><\/tr><tr><td>7.7 &#8211; 7.9<\/td><td>Matrizes Fundamentais;<br>Sistemas Lineares N\u00e3o-Homog\u00eaneos<\/td><td>7.7: 1, 3, 5, 10<br>7.9: 1, 3-5, 11, 14<\/td><\/tr><tr><td>&nbsp;<\/td><td>Sequencias Num\u00e9ricas<\/td><td>Lista Sequ\u00eancias e S\u00e9ries<\/td><\/tr><tr><td>&nbsp;<\/td><td>S\u00e9ries Num\u00e9ricas<\/td><td>Lista Sequ\u00eancias e S\u00e9ries<\/td><\/tr><tr><td>&nbsp;<\/td><td>Testes de Converg\u00eancia<\/td><td>Lista Sequ\u00eancias e S\u00e9ries<\/td><\/tr><tr><td>&nbsp;<\/td><td>S\u00e9ries Alternadas<\/td><td>Lista Sequ\u00eancias e S\u00e9ries<\/td><\/tr><tr><td>&nbsp;<\/td><td>S\u00e9ries de Pot\u00eancias<\/td><td>Lista Sequ\u00eancias e S\u00e9ries<\/td><\/tr><tr><td>5.2<\/td><td>Solu\u00e7\u00f5es em S\u00e9rie; Ponto Ordin\u00e1rio<\/td><td>5.2: 2, 3, 7-9, 13, 14, 15a, 17a, 21a, 21b<\/td><\/tr><tr><td>5.3<\/td><td>Solu\u00e7\u00f5es em S\u00e9rie; Ponto Ordin\u00e1rio<\/td><td>5.3: 1-3, 5-8, 10-12, 15, 22, 23<\/td><\/tr><tr><td>5.4 e 5.5<\/td><td>Pontos Singulares Regulares<\/td><td>5.4: 17, 18, 21, 22, 25, 27, 30, 33, 34, 41, 42<br>5.5: 1, 2, 5, 7, 8, 9, 11, 16<\/td><\/tr><tr><td>5.6<\/td><td>Solu\u00e7\u00f5es em S\u00e9rie; Ponto Singular Regular<\/td><td>5.6: 1, 2, 3, 5, 9, 12, 13, 17, 18, 19a, 19b, 19c, 19d<\/td><\/tr><tr><td>10.2<\/td><td>S\u00e9ries de Fourier<\/td><td>10.2 1-11, 13, 15-18, 19a,19b, 20a, 20b, 23a, 23b, 24a, 24b, 27, 28.<\/td><\/tr><tr><td>10.3 e 10.4<\/td><td>Teorema da Converg\u00eancia de Fourier; Fun\u00e7\u00f5es Pares e \u00cdmpares<\/td><td>10.3: 1-6, 7a, 8a, 9a, 12a, 13-17.<br>10.4: 1,2,5,6,7,8,12,16,19, 20, 23, 25, 27, 28, 29, 35, 36<\/td><\/tr><tr><td>10.5<\/td><td>Separa\u00e7\u00e3o de Vari\u00e1veis; Equa\u00e7\u00e3o de Calor<\/td><td>10.5: 1-12<\/td><\/tr><tr><td>10.6<\/td><td>Outros problemas de Condu\u00e7\u00e3o de Calor<\/td><td>10.6: 1, 2, 3, 5, 7, 10, 15<\/td><\/tr><tr><td>10.7<\/td><td>Separa\u00e7\u00e3o de Vari\u00e1veis; Equa\u00e7\u00e3o da Onda<\/td><td>10.7: 3, 7, 9, 10a, 11, 13, 16<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:70px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4><a name=\"8a.edicao\"><\/a>8\u00aa edi\u00e7\u00e3o<\/h4>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><thead><tr><th>Se\u00e7\u00e3o<\/th><th>P\u00e1gina<\/th><th>Exerc\u00edcios<\/th><\/tr><\/thead><tbody><tr><td>Ap\u00eandice A<\/td><td>A8<\/td><td>12, 23, 35, 41,&nbsp;<strong>46<\/strong>, 54, 59,&nbsp;<strong>62<\/strong>, 68<\/td><\/tr><tr><td>Ap\u00eandice B<\/td><td>A13<\/td><td>6, 8, 19, 22, 25,&nbsp;<strong>33<\/strong>, 47, 51,&nbsp;<strong><u>58<\/u><\/strong><\/td><\/tr><tr><td>Ap\u00eandice C<\/td><td>A21<\/td><td>3, 19,&nbsp;<strong>34<\/strong>, 35, 39<\/td><\/tr><tr><td>Ap\u00eandice D<\/td><td>A28<\/td><td>42, 48, 58, 62, 69,&nbsp;<strong><u>81<\/u><\/strong><\/td><\/tr><tr><td>1.1<\/td><td>11<\/td><td>4, 25, 23, 43*, 52,&nbsp;<strong><u>63<\/u><\/strong>,&nbsp;<strong><u>67<\/u><\/strong>, 72<\/td><\/tr><tr><td>1.2<\/td><td>23<\/td><td>3,&nbsp;<strong>18<\/strong>, 27*<\/td><\/tr><tr><td>1.3<\/td><td>32<\/td><td>3,&nbsp;<strong><u>5<\/u><\/strong>, 7, 23, 29,&nbsp;<strong>53<\/strong>, 63<\/td><\/tr><tr><td>1.4<\/td><td>41<\/td><td>13, &nbsp;<strong>17<\/strong>, 30* a-c<\/td><\/tr><tr><td>1.5<\/td><td>53<\/td><td>11*,&nbsp;<strong>24<\/strong>, 48, 53, 61<\/td><\/tr><tr><td>2.1<\/td><td>70<\/td><td><strong>5<\/strong><\/td><\/tr><tr><td>2.2<\/td><td>79<\/td><td><strong>6<\/strong>, 8*, 11, 17, 20*, 45<\/td><\/tr><tr><td>2.3<\/td><td>88<\/td><td>1, 2*, 9, &nbsp;<strong>22<\/strong>, 29*, 37,&nbsp;<strong>40<\/strong>,49, 52,&nbsp;<strong>65<\/strong>, 66<\/td><\/tr><tr><td>2.4<\/td><td>97<\/td><td>3, 5,&nbsp;<strong>11<\/strong>, 29<\/td><\/tr><tr><td>2.5<\/td><td>107<\/td><td>9, 12*, 22,&nbsp;<strong>44<\/strong>, 49, 55,&nbsp;<strong>71<\/strong><\/td><\/tr><tr><td>2.6<\/td><td>119<\/td><td>2,&nbsp;<strong>7<\/strong>, 14*, 22,&nbsp;<strong>29<\/strong>, 51, 65, 67, 68<\/td><\/tr><tr><td>2.7<\/td><td>127<\/td><td>1, 3, 8,&nbsp;<strong>11<\/strong>, 23, 30, 37*, 46, 51, 54,&nbsp;<strong>59<\/strong><\/td><\/tr><tr><td>2.8<\/td><td>139<\/td><td>3, 8, 26, 41,&nbsp;<strong>64<\/strong><\/td><\/tr><tr><td>Revis\u00e3o<\/td><td>143<\/td><td>1, 2, 13, 25<\/td><\/tr><tr><td>3.1<\/td><td>156<\/td><td>18*, 29*, 37*, 55, 64a, 61*,&nbsp;<strong>74<\/strong>, 81, 86<\/td><\/tr><tr><td>3.2<\/td><td>163<\/td><td>1, 3*, 13*, 32*, 43,&nbsp;<strong>49<\/strong>, 53<\/td><\/tr><tr><td>3.3<\/td><td>170<\/td><td>5, 8, 12, 19, 24, 33, 37, 39*, 40*, 45,&nbsp;<strong>56<\/strong>, 57<\/td><\/tr><tr><td>3.4<\/td><td>177<\/td><td>20, 21*, 37, 41,&nbsp;<strong>63<\/strong>, 65<\/td><\/tr><tr><td>3.5<\/td><td>187<\/td><td>4*, 15*, 18*, 24,&nbsp;<strong>30<\/strong>, 49, 54, 65, 68, 77<\/td><\/tr><tr><td>3.6<\/td><td>194<\/td><td>3, 4, 16, 25*, 26*, 33,&nbsp;<strong>43<\/strong>, 54<\/td><\/tr><tr><td>3.9<\/td><td>217<\/td><td>1,&nbsp;<strong>16<\/strong>, 18,&nbsp;<strong>26<\/strong>, 29, 37, 39<\/td><\/tr><tr><td>3.10<\/td><td>223<\/td><td>2, 5, 11*, 17, 23, 34, 44a<\/td><\/tr><tr><td>3.11<\/td><td>230<\/td><td>7, 8,&nbsp;<strong>23c<\/strong>, 40, 51<\/td><\/tr><tr><td>Revis\u00e3o<\/td><td>232<\/td><td>2, 32, 69*, 70, 79, , 84, 106<\/td><\/tr><tr><td>4.1<\/td><td>247<\/td><td>1, 4,&nbsp;<strong>11<\/strong>, 36, 37*, 44, 57, 59*, 77<\/td><\/tr><tr><td>4.2<\/td><td>252<\/td><td>6*, 18, 21, 33,&nbsp;<strong>37<\/strong><\/td><\/tr><tr><td>4.3<\/td><td>263<\/td><td>8, 14, 18, 20,&nbsp;<strong>26<\/strong>, 46*, 70, 74, 81, 89<\/td><\/tr><tr><td>4.4<\/td><td>273<\/td><td>1, 8*, 13, 26,&nbsp;<strong>42<\/strong>, 47*, 51,&nbsp;<strong>55<\/strong>, 68, 79, 89, 91<\/td><\/tr><tr><td>4.5<\/td><td>282<\/td><td>9*, 13*, 26, 34, 59,&nbsp;<strong>66<\/strong>, 74<\/td><\/tr><tr><td>4.7&nbsp;<\/td><td>295<\/td><td>13, 16, 20, 19, 31, 38, 39,&nbsp;<strong>50<\/strong>, 54, 74,&nbsp;<strong>76<\/strong><\/td><\/tr><tr><td>4,9<\/td><td>312<\/td><td>7, 15, 16, 17, 27, 37, 45, 49,&nbsp;<strong>51<\/strong>, 55, 62, 65<\/td><\/tr><tr><td>Revis\u00e3o<\/td><td>314<\/td><td>8, 18, 69, 79<\/td><\/tr><tr><td>5.1<\/td><td>330<\/td><td>4, 22, 25,&nbsp;<strong>32<\/strong><\/td><\/tr><tr><td>5.2<\/td><td>343<\/td><td>5, 20, 27, 33d, 37,&nbsp;<strong>40*<\/strong>, 42, 58, 68<\/td><\/tr><tr><td>5.3<\/td><td>354<\/td><td>3, 5, 9, 16*, 21*, 24*, 44, 56,&nbsp;<strong>60<\/strong>, 68, 73<\/td><\/tr><tr><td>5.4<\/td><td>362<\/td><td>12, 18, 32, 45, 50, 54,&nbsp;<strong>63<\/strong><\/td><\/tr><tr><td>5.5<\/td><td>371<\/td><td>5*, 20*, 28, 31, 35, 34,&nbsp;<strong>44<\/strong>, 48, 59, 62, 69, 77, 88, 89, 90<\/td><\/tr><tr><td>Revis\u00e3o<\/td><td>373<\/td><td>1, 2, 3, 13*<\/td><\/tr><tr><td>6.1<\/td><td>385<\/td><td>4, 11, 24, 35*, 48,&nbsp;<strong>53<\/strong>, 59, 61<\/td><\/tr><tr><td>6.2<\/td><td>397<\/td><td>6*,&nbsp;<strong>21<\/strong>, 24, 40, 52, 63,&nbsp;<strong>66<\/strong>, 70<\/td><\/tr><tr><td>6.3<\/td><td>403<\/td><td>5, 7, 17*, 25,&nbsp;<strong>48<\/strong><\/td><\/tr><tr><td>6.4<\/td><td>407<\/td><td>2, 3, 7, 21*<\/td><\/tr><tr><td>6.5<\/td><td>411<\/td><td>4, 5,&nbsp;<strong>9<\/strong><\/td><\/tr><tr><td>Revis\u00e3o<\/td><td>414<\/td><td>26, 34*<\/td><\/tr><tr><td>7.1<\/td><td>425<\/td><td>2*, 3, 32*, &nbsp;<strong>24*<\/strong>,&nbsp;<strong>33*<\/strong>, 47, 68*<\/td><\/tr><tr><td>7.2<\/td><td>432<\/td><td>1, 7, 46*,&nbsp;<strong>26*<\/strong>, 41, 57*, 64<\/td><\/tr><tr><td>7.3<\/td><td>438<\/td><td>1, 2, 12*,&nbsp;<strong>23*<\/strong>, 30, 33,&nbsp;<strong>43*<\/strong><\/td><\/tr><tr><td>7.4<\/td><td>447<\/td><td>9, 13,&nbsp;<strong>29<\/strong>, 39*,&nbsp;<strong>57<\/strong>, 66<\/td><\/tr><tr><td>7.5<\/td><td>453<\/td><td>1*, 4*, 22, 29, 38, 51, 52, 63, 67, 77,&nbsp;<strong>78<\/strong><\/td><\/tr><tr><td>7.8<\/td><td>479<\/td><td>13, 21, 31, 41,&nbsp;<strong>56<\/strong>,&nbsp;<strong>79<\/strong><\/td><\/tr><tr><td>8.1<\/td><td>495<\/td><td>3, 11*, 19,&nbsp;<strong>44<\/strong>, 45<\/td><\/tr><tr><td>8.2<\/td><td>501<\/td><td>2, 12,&nbsp;<strong>17<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:70px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4><a name=\"7a.edicao\"><\/a>7\u00aa edi\u00e7\u00e3o<\/h4>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><thead><tr><th>Se\u00e7\u00e3o<\/th><th>Assunto<\/th><th>Problemas Selecionados<\/th><\/tr><\/thead><tbody><tr><td>Cap. 1<\/td><td>Introdu\u00e7\u00e3o; Motiva\u00e7\u00e3o; Classifica\u00e7\u00e3o das Equa\u00e7\u00f5es Diferenciais<\/td><td>1.3: 1, 4-8, 12-14, 17-19, 21, 22, 25, 28<\/td><\/tr><tr><td>&nbsp;2.1<\/td><td>EDO&#8217;s Lineares de 1a. Ordem<\/td><td>2.1: 1c, 5c, 11c, 14, 16, 19, 20, 27a, 28,30<\/td><\/tr><tr><td>2.2<\/td><td>Equa\u00e7\u00f5es separ\u00e1veis; Equa\u00e7\u00f5es Homog\u00eaneas<\/td><td>2.2: 1, 5, 7, 11a, 16a, 20a,30, 31a, 31b, 33a, 33b, 38a,38b<\/td><\/tr><tr><td>2.6<\/td><td>Equa\u00e7\u00f5es exatas; Fatores integrantes<\/td><td>2.6: 3, 7, 10-12, 15, 19, 20, 25, 28, 31<\/td><\/tr><tr><td>2.4<\/td><td>M\u00e9todos de substitui\u00e7\u00e3o; Equa\u00e7\u00f5es de Bernoulli; Teoremas de Exist\u00eancia e Unicidade<\/td><td>2.4: 1, 3, 4, 6, 7, 9, 12, 21, 22, 23, 24, 25, 27, 28, 32, 33<\/td><\/tr><tr><td>3.1<br>3.3<br>4.1<\/td><td>EDO&#8217;s Lineares de Ordem Superior; Independ\u00eancia Linear e o Wronskiano<\/td><td>3.1: 1, 3, 5, 7, 11, 16, 17, 20-23, 25, 29, 31, 37, 40, 43<br>3.3: 1, 3, 4, 7, 9, 11, 13, 15 ,17, 19, 21, 24, 25<br>4.1: 1, 4, 5, 7, 9, 11, 13, 14, 17, 19c<\/td><\/tr><tr><td>3.2<br>4.2<\/td><td>Equa\u00e7\u00f5es lineares homog\u00eaneas; Coeficientes constantes<\/td><td>3.2: 1, 3, 5, 9, 11, 13, 14, 17, 19, 23, 25, 26<br>4.2: 1-6, 11, 13, 19, 25, 31, 35, 37<\/td><\/tr><tr><td>3.4<br>3.5<\/td><td>Ra\u00edzes Complexas e Repetidas da Equa\u00e7\u00e3o Caracter\u00edstica<\/td><td>3.4: 1-6, 7, 11, 12, 19, 20, 22, 27, 33<br>3.5: 1, 5, 11, 13, 15, 17, 20, 23, 25, 31, 38-40<\/td><\/tr><tr><td>3.7<br>4.4<\/td><td>O M\u00e9todo de Varia\u00e7\u00e3o dos par\u00e2metros<\/td><td>3.7: 5, 7, 9, 13, 15, 17<br>4.4: 1, 3, 5, 9, 13<\/td><\/tr><tr><td>5.5<br>5.6<\/td><td>Equa\u00e7\u00f5es de Euler<\/td><td>5.5: 1, 3, 5, 9, 10, 15, 17-19, 21, 24, 25, 28<br>5.6: 1, 2, 5, 7-9, 11, 16<\/td><\/tr><tr><td>3.6<br>4.3<\/td><td>O M\u00e9todo dos Coeficientes indeterminados<\/td><td>3.6: 1, 5, 9, 11, 13, 15, 19a, 21a, 25a, 27-31<br>4.3: 1, 3, 7, 11, 15<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>6.1<\/td><td>Transformada de Laplace;&nbsp; defini\u00e7\u00e3o; condi\u00e7\u00f5es para a exist\u00eancia de transformadas<\/td><td>6.1: 1-10, 21-24, 26, 27<\/td><\/tr><tr><td>6.2<\/td><td>Resolu\u00e7\u00e3o de&nbsp; PVI&#8217;s; Transformada da derivada e da integral de uma fun\u00e7\u00e3o; fra\u00e7\u00f5es parciais, tabela de transformadas elementares; transformada inversa da derivada; integral de uma transformada<\/td><td>6.2: 1-3, 5, 8, 9, 11, 13, 21, 28-34, 36, 37<\/td><\/tr><tr><td>6.3<br>6.4<\/td><td>Fun\u00e7\u00f5es degrau; transformada da transla\u00e7\u00e3o de uma fun\u00e7\u00e3o; transformada inversa da transla\u00e7\u00e3o de uma transformada; transformada de fun\u00e7\u00f5es peri\u00f3dicas. Equa\u00e7\u00f5es diferenciais com for\u00e7amentos descont\u00ednuos<\/td><td>6.3: 1, 3, 6-10, 13, 15-17, 19-26, 28, 29, 31, 32<br>6.4: 1, 5, 7, 9, 13<\/td><\/tr><tr><td>6.56.6<\/td><td>Fun\u00e7\u00f5es de impulso;&nbsp; PVI&#8217;s envolvendo a fun\u00e7\u00e3o delta; A convolu\u00e7\u00e3o<\/td><td>6.5: 1, 2, 4, 5, 11<br>6.6: 2-13, 15,17, 20, 21<\/td><\/tr><tr><td>7.1<br>7.2<br>7.3<\/td><td>Sistemas Lineares, M\u00e9todo da Transformada de Laplace e Elimina\u00e7\u00e3o<\/td><td>7.1: 1-5, 7a, 7b, 8<br>7.2: 22, 23, 26<br>7.3: 6-8, 10, 12-16, 18, 19, 22<\/td><\/tr><tr><td>7.4<br>7.5<br>7.6<br>7.8<\/td><td>Sistemas Homog\u00eaneos &#8211; M\u00e9todo dos Autovalores<\/td><td>7.4: 6, 7<br>7.5: 1, 3, 5, 7, 11, 14, 15, 17, 19, 20, 22, 28a, 28b, 28c<br>7.6: 1, 3, 4, 7, 9, 21<br>7.8: 1, 3, 7, 10, 11, 13, 18<\/td><\/tr><tr><td>7.7<br>7.9<\/td><td>Sistemas N\u00e3o-Homog\u00eaneos e o M\u00e9todo de Varia\u00e7\u00e3o dos Par\u00e2metros<\/td><td>7.7: 1, 3, 5, 10<br>7.9: 1, 3-5, 11, 14<\/td><\/tr><tr><td>&nbsp;<\/td><td>Sequ\u00eancias Num\u00e9ricas<\/td><td><a href=\"http:\/\/www.ime.unicamp.br\/~ketty\/ensino\/ma311\/ListaSeqSer.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Link<\/a><\/td><\/tr><tr><td>&nbsp;<\/td><td>S\u00e9ries Num\u00e9ricas, S\u00e9rie Geom\u00e9trica, Teste da Integral<\/td><td><a href=\"http:\/\/www.ime.unicamp.br\/~ketty\/ensino\/ma311\/ListaSeqSer.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Link<\/a><\/td><\/tr><tr><td>&nbsp;<\/td><td>Teste da Compara\u00e7\u00e3o; Compara\u00e7\u00e3o por limite; Raiz; Raz\u00e3o<\/td><td><a href=\"http:\/\/www.ime.unicamp.br\/~ketty\/ensino\/ma311\/ListaSeqSer.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Link<\/a><\/td><\/tr><tr><td>&nbsp;<\/td><td>S\u00e9ries Alternadas<\/td><td><a href=\"http:\/\/www.ime.unicamp.br\/~ketty\/ensino\/ma311\/ListaSeqSer.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Link<\/a><\/td><\/tr><tr><td>&nbsp;<\/td><td>S\u00e9ries de pot\u00eancias<\/td><td><a href=\"http:\/\/www.ime.unicamp.br\/~ketty\/ensino\/ma311\/ListaSeqSer.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Link<\/a><\/td><\/tr><tr><td>5.2<\/td><td>&nbsp;Solu\u00e7\u00f5es em s\u00e9rie &#8211; ponto ordin\u00e1rio<\/td><td>5.2: 2, 3, 7-9, 13, 14, 15a, 17a, 21a, 21b<\/td><\/tr><tr><td>5.3<\/td><td>Solu\u00e7\u00f5es em s\u00e9rie &#8211; ponto ordin\u00e1rio<\/td><td>5.3: 1-3, 5-8, 10-12, 15, 22, 23<\/td><\/tr><tr><td>5.4<\/td><td>Pontos singulares regulares<\/td><td>5.4: 1, 2, 5, 6, 9, 11, 14, 17-20<\/td><\/tr><tr><td>5.7<\/td><td>Solu\u00e7\u00f5es em s\u00e9rie &#8211; ponto singular regular<\/td><td>5.7: 1-3, 5, 9, 12, 13, 17, 18, 19a, 19b, 19c, 19d<\/td><\/tr><tr><td>10.2<\/td><td>S\u00e9ries de Fourier<\/td><td>10.2: 1-11, 13, 15-18, 19a, 19b,20a, 20b,23a, 23b, 24a, 24b, 27, 28<\/td><\/tr><tr><td>10.3<br>10.4<\/td><td>O Teorema da converg\u00eancia de Fourier; Fun\u00e7\u00f5es pares e \u00edmpares<\/td><td>10.3: 1-6, 7a, 8a, 9a, 12a, 13-17<br>10.4: 1-37<\/td><\/tr><tr><td>10.5<br>10.6<\/td><td>Separa\u00e7\u00e3o de vari\u00e1veis; Equa\u00e7\u00e3o do calor<\/td><td>10.5: 1-12;<br>10.6: 2, 3, 15<br><a href=\"http:\/\/www.ime.unicamp.br\/~ketty\/ensino\/2007s2\/ma311\/EquacaoCalor.jpg\" target=\"_blank\" rel=\"noreferrer noopener\">Link<\/a><\/td><\/tr><tr><td>10.7<\/td><td>Separa\u00e7\u00e3o de vari\u00e1veis; Equa\u00e7\u00e3o da onda<\/td><td>10.7: 3, 7, 9, 10a, 11, 13, 16<br><a rel=\"noreferrer noopener\" href=\"http:\/\/www.ime.unicamp.br\/~ketty\/ensino\/2007s2\/ma311\/EquacaoOnda.jpg\" target=\"_blank\">Link<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:70px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Anexo<\/th><th>Tamanho<\/th><\/tr><\/thead><tbody><tr><td><a href=\"https:\/\/www.ime.unicamp.br\/ma311\/files\/ListaRevisaoProva1.pdf\">ListaRevisaoProva1.pdf<\/a><\/td><td>123.41 KB<\/td><\/tr><tr><td><a href=\"https:\/\/www.ime.unicamp.br\/ma311\/files\/ListaRevisao2.pdf\">ListaRevisao2.pdf<\/a><\/td><td>103.15 KB<\/td><\/tr><tr><td><a href=\"https:\/\/www.ime.unicamp.br\/ma311\/files\/Exercicios_PED_2018_0.pdf\">Exercicios_PED_2018.pdf<\/a><\/td><td>181.41 KB<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>9\u00aa edi\u00e7\u00e3o 8\u00aa edi\u00e7\u00e3o &nbsp;7\u00aa edi\u00e7\u00e3o Sequ\u00eancias e S\u00e9ries (Retirado do site da professora ketty) Lista de Integrais(Retirado do site do professor Ademir Pastor) Tab. Transf. de Laplace(Retirado do site do professor Ademir Pastor) 9\u00aa edi\u00e7\u00e3o Se\u00e7\u00e3o Assunto Problemas Selecionados 1.3 Introdu\u00e7\u00e3o; Motiva\u00e7\u00e3o; Classifica\u00e7\u00e3o das Equa\u00e7\u00f5es Diferenciais 1.3: 1, 4-8, 12-14, 17-19, 21, 22, 25, [&hellip;]<\/p>\n","protected":false},"author":10,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-25","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-json\/wp\/v2\/pages\/25","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-json\/wp\/v2\/comments?post=25"}],"version-history":[{"count":5,"href":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-json\/wp\/v2\/pages\/25\/revisions"}],"predecessor-version":[{"id":87,"href":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-json\/wp\/v2\/pages\/25\/revisions\/87"}],"wp:attachment":[{"href":"https:\/\/disciplinas.ime.unicamp.br\/ma311\/wp-json\/wp\/v2\/media?parent=25"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}