(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 4439, 139]*) (*NotebookOutlinePosition[ 5240, 166]*) (* CellTagsIndexPosition[ 5196, 162]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["\<\ C\[AAcute]lculo Num\[EAcute]rico Enero \ 2005\ \>", "Title", TextAlignment->Center, TextJustification->0], Cell[CellGroupData[{ Cell["1er Ejercicio", "Section"], Cell[TextData[{ "1.- Dado el sistema ", Cell[BoxData[ RowBox[{"(", GridBox[{ {"3", \(-1\), "1"}, {"9", \(-2\), "1"}, {"3", "1", \(-2\)} }], ")"}]]], ".", Cell[BoxData[ FormBox[ RowBox[{"(", GridBox[{ {"x"}, {"y"}, {"z"} }], ")"}], TraditionalForm]]], "=", Cell[BoxData[ FormBox[ RowBox[{"(", GridBox[{ {\(-1\)}, {\(-9\)}, {\(-9\)} }], ")"}], TraditionalForm]]], ", resolver dicho sistema mediante pivotaje parcial escalado utilizando el \ comando correspondiente disponible en la p\[AAcute]gina web de la prim\ \[EAcute]ra pr\[AAcute]ctica de la asignatura.\n\n2.- El sistema anterior, \ mediante operaciones elementales se transforma en un sistema triangular \ superior , cuya matriz de coeficientes es ", Cell[BoxData[ FormBox[ RowBox[{"(", GridBox[{ {"3", \(-1\), "1"}, {"0", "2", \(-3\)}, {"0", "0", \(\(-1\)\/2\)} }], ")"}], TraditionalForm]]], " y el vector de t\[EAcute]rminos independientes es {-1,-8,-2}. Desarrollar \ el m\[EAcute]todo de sustituci\[OAcute]n regresiva para obtener la soluci\ \[OAcute]n del sistema." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["2\.ba Ejercicio", "Section"], Cell[TextData[{ "1.- Dada la funci\[OAcute]n f(x)=", Cell[BoxData[ \(TraditionalForm\`\(Cos(x)\)\/\@\(1 + x\^2\)\)]], ", calcular la integral de dicha funci\[OAcute]n en el intervalo (1,3). \ (encontrar un valor num\[EAcute]rico, comparable con el resultado del \ apartado siguiente)\n\n2.- Aplicar el m\[EAcute]todo de integraci\[OAcute]n \ de Gauss-Legendre para el c\[AAcute]lculo de la integral del apartado \ anterior utilizando 3 nodos. Indicar el error cometido." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["3er Ejercicio", "Section"], Cell[TextData[{ "1.- Calcular la raiz de la funci\[OAcute]n f(x) del ejercicio anterior \ mediante el m\[EAcute]todo de Newton, partiendo de una aproximaci\[OAcute]n \ inicial ", Cell[BoxData[ \(TraditionalForm\`x\_0\)]], "=2, considerando un n\[UAcute]mero maximo de 40 iteraciones. Calcular la \ raiz con un error absoluto menor que 0.0001. Presentar por pantalla los \ resultados correspondientes a todas las iteraciones realizadas." }], "Text"] }, Open ]] }, Open ]] }, FrontEndVersion->"5.0 for Microsoft Windows", ScreenRectangle->{{0, 1280}, {0, 937}}, WindowToolbars->{"RulerBar", "EditBar"}, WindowSize->{1272, 899}, WindowMargins->{{0, Automatic}, {Automatic, 0}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, Magnification->1.5, StyleDefinitions -> "Classic.nb" ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1776, 53, 154, 5, 217, "Title"], Cell[CellGroupData[{ Cell[1955, 62, 32, 0, 88, "Section"], Cell[1990, 64, 1321, 39, 242, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[3348, 108, 34, 0, 88, "Section"], Cell[3385, 110, 494, 9, 136, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[3916, 124, 32, 0, 88, "Section"], Cell[3951, 126, 460, 9, 96, "Text"] }, Open ]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)