tag:blogger.com,1999:blog-62231696143987999972024-03-05T09:33:21.497-08:00Métodos Numéricos UNSAMPagina de la materia Métodos Numéricos de la Escuela de Ciencia y Tecnología de la UNSAM para las carreras de Ingenieriatatohttp://www.blogger.com/profile/00428471278331524901noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-6223169614398799997.post-23490532284114433172014-03-03T13:00:00.001-08:002015-07-02T06:50:28.744-07:00<span style="font-family: "Courier New", Courier, monospace; font-size: x-large;"><strong>Docentes de la Materia</strong></span><br />
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<span style="font-family: Arial;"><span style="color: red; font-family: Arial; font-size: large;"><strong><a href="https://drive.google.com/file/d/0B-nGmS41qvq5b1pMdFBLeU11SXc/view?usp=sharing">TEMAS DE EXAMEN AQUI</a></strong></span></span><br />
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<strong><span style="color: red; font-family: Arial; font-size: large;">Consultas viernes 10-7 18 </span></strong><strong><span style="color: red; font-family: Arial; font-size: large;">hs</span></strong><br />
<strong><span style="color: red; font-family: Arial; font-size: large;">dejamos cartelito en alumnos </span></strong><br />
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<span style="font-family: Arial;"><span style="color: red; font-family: Arial; font-size: large;"><strong>RECUPERATORIO</strong></span><br />
<strong><span style="color: red; font-family: Arial; font-size: large;">VIERNES 3 de junio a las 18hs </span></strong><br />
<strong><span style="color: red; font-family: Arial; font-size: large;">PARA AMBOS TURNOS </span></strong><br />
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<strong><span style="color: red; font-family: Arial; font-size: large;">ULTIMA CLASE DE LOS SABADOS</span></strong><br />
<strong><span style="color: red; font-family: Arial; font-size: large;">Por el asueto la corremos al sábado 4-7.</span></strong><br />
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<strong><span style="color: red; font-family: Arial; font-size: large;">En las mismas aulas y laboratorios de siempre.</span></strong><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: medium;"><strong>Teórica: Viernes de 17,30 a 19,30 a cargo de Dr. Serrano</strong></span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: medium;"><strong>Práctica Matlab turno I : Viernes 19,30 a 21,30 A cargo de Lic Alvarez</strong></span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: medium;"><strong>Práctica Matlab turno II : Sábados 11,15 a 13,15 A cargo de Lic Alvarez</strong></span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><strong>Titular: </strong></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><strong>Dr. Eduardo Serrano (</strong><a href="mailto:eduardo.eduser@gmail.com"><strong>eduardo.eduser@gmail.com</strong></a><strong>)</strong></span><strong> </strong></span><br />
<strong><span style="font-family: Arial, Helvetica, sans-serif;">Practicas</span></strong><br />
<span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong>Lic. Adrián Alvarez (</strong><a href="mailto:adalvarez@unsam.edu.ar"><strong>adalvarez@unsam.edu.ar</strong></a><strong>)</strong></span><br />
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</span><a href="https://drive.google.com/file/d/0B-nGmS41qvq5d2VwTGVlaTBIcjA/edit?usp=sharing" target="_blank"><span style="color: black; font-family: "Courier New", Courier, monospace;">Ejemplo de 1º Parcial</span></a></h3>
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Para cursar es altamente recomendable tener aprobados TP de cálculo III o Avanzado. </div>
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Se requieren y pre-suponen conocimientos para el desarrollo de los temas del curso.</div>
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Clases Teóricas:</span></h2>
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</span><a href="https://drive.google.com/file/d/0B-nGmS41qvq5c1ZTcXc2QUpXdXM/edit?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Errores</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5cmd3Y1VmVVg2ems/edit?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Punto Flotante</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5T1FndWRZMi02M0k/edit?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Ecuaciones no Lineales</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5bV9WTC1DbkFCdUU/edit?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Ecuaciones Lineales</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5czIwTFZ2Z3g5S0E/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Mínimos Cuadrados</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5VHpJSHVZdGxHREE/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Interpolación</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5S3MtQi1UR3ZRbms/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Integración</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5RVpwWVByeklJZFE/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Ecuaciones Diferenciales</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5ekxLQU90VXdyTFE/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Guía para el FINAL</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5WkMzRzVtYlFlMVk/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Ejercicios para el final</span></a><br />
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<span style="font-family: "Courier New", Courier, monospace; font-size: x-large;">Prácticas:</span></h2>
<span style="font-family: Arial, Helvetica, sans-serif;"><a href="https://drive.google.com/file/d/0B-nGmS41qvq5RWpqenJNWjlveDQ/view?usp=sharing" target="_blank">Práctica 0</a></span><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5Zkl5RTJQeDhTR3M/view?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 1</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5OEZsWC1JelJnY2c/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 2</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5NzZYV3JaSGU4a0E/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;">Práctica 3</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5cVlfSklxSlh4cW8/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Repaso Lineales</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5N2lBTjQtTE9YMjA/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 4</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5R3JKZHIxNDMwNW8/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Problema Ecuacion</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5RHh5S2VtZFE0Qmc/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Interpolacion</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5TDFpLVFtN3Qybzg/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 5</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5NEZPeUVtZENwYnM/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">EJERCICIOS DEMOSTRATIVOS</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5MEdDMmYzcEFnZnc/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Integración</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5NDUtemhlU0F5cUk/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 6</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5eklOYWVqVTlOaW8/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Cuadrados Mínimos</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5RVpwWVByeklJZFE/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Ecuaciones Diferenciales</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5S3NZemRWbVNJZ3c/view?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 7</span></a><br />
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<a href="https://drive.google.com/file/d/0B-nGmS41qvq5eTFUeUdfNXJKb3c/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 4</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5R2FOclB4RWJuT28/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 5</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5am9XM1FQMjFNSGs/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 6</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5d0hEUjZsdXhRRUE/edit?usp=sharing" target="_blank"><span style="font-family: Arial, Helvetica, sans-serif;">Práctica 7</span></a><br />
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<span style="font-family: "Courier New", Courier, monospace; font-size: x-large;">Tutoriales:</span></h2>
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5UnNOb3AwUzhXZ3M/edit?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Manual Básico de Matlab</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5YnZkOVZkckZRVlU/edit?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Matlab simple</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5Vl9NLUZhNFpPNlE/edit?usp=sharing"><span style="font-family: Arial, Helvetica, sans-serif;">Tutorial</span></a><br />
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<span style="font-family: "Courier New", Courier, monospace; font-size: x-large;">De interés</span></h2>
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<span style="font-family: "Courier New", Courier, monospace; font-size: x-large;"><a href="https://drive.google.com/file/d/0B-nGmS41qvq5VFg5aDJZU003SlU/view?usp=sharing"><span style="font-size: small;">Lorenz</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5YWZORVpOaWJhRU0/view?usp=sharing"><span style="font-size: small;">Oscilador Armonico</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5TjdZdENGLXRMaTg/view?usp=sharing"><span style="font-size: small;">Van der Pol</span></a></span></h2>
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<span style="font-family: "Courier New", Courier, monospace; font-size: x-large;">Códigos Matlab y Software:</span></h2>
<span style="font-family: "Trebuchet MS", sans-serif;">(Basta con cliciar los títulos para descargar)</span><br />
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<span style="font-family: Trebuchet MS;"><a href="https://drive.google.com/file/d/0B-nGmS41qvq5XzFkQUQxaEQyUHM/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace;">Stiff</span></a></span><br />
<span style="font-family: Trebuchet MS;"><span style="color: red; font-family: "Courier New", Courier, monospace;"><a href="https://drive.google.com/file/d/0B-nGmS41qvq5RFVpdUxwTi1vSms/view?usp=sharing">Lorenz</a></span><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5WkJXanJ0Ry1VNms/view?usp=sharing"><span style="font-family: "Courier New", Courier, monospace;">odem</span></a></span><br />
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<span style="color: red; font-size: large;"><a href="https://docs.google.com/document/d/1L7AFqalcxqrybn3sa_v_lD66qeed7harXOH9HruhYGc/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">TXT Maxima</span></a><br /><span style="font-family: "Courier New", Courier, monospace;">
</span><a href="https://docs.google.com/document/d/1XYKGdMk__qSDxJEqc7ALx1CvbVPwEld8iokdUoZkoqs/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">TXT Matlab</span></a></span><br />
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<span style="color: red; font-family: "Courier New", Courier, monospace;"><a href="https://drive.google.com/file/d/0B-nGmS41qvq5cnl0amNXQlYtX2c/edit?usp=sharing" target="_blank">EDO general</a></span><br />
<span style="font-family: "Courier New", Courier, monospace;"><a href="https://drive.google.com/file/d/0B-nGmS41qvq5Vmxib2JUVDg3cVU/edit?usp=sharing" target="_blank">Splines</a></span><br />
<a href="https://docs.google.com/file/d/0B3DK41iljMebd0N4OWNOVVJTN0tJYWpYZUhKdXhDdw/edit?pli=1"><span style="font-family: "Courier New", Courier, monospace;">Matlab super básico</span></a><br />
<span style="color: red; font-family: "Courier New", Courier, monospace;"><a href="https://docs.google.com/file/d/0B3DK41iljMebMTRmMDk0MDItODRlZC00MDU3LTk2YTAtMTY4YTNjZjIyNmQ4/edit">Nociones</a></span><br />
<a href="https://docs.google.com/file/d/0B-nGmS41qvq5RGRoM1pYYmNMNVk/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace;">exactas tutorial</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5bk5XcmdSbGJodGM/edit?usp=sharing"><span style="font-family: "Courier New", Courier, monospace;">Graficas con matlab script guiado y ejecutable</span></a><br />
<a href="https://docs.google.com/file/d/0B3DK41iljMebNWM0MzliZGQtOTcwMC00ZDNiLTg1N2YtNzU1YmZhNjg0MDE4/edit"><span style="font-family: "Courier New", Courier, monospace;">Rar con archivos .m</span></a><br />
<a href="https://docs.google.com/file/d/0B-nGmS41qvq5b1V2LWRTMnlyVHc/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace;">Interpolacion</span></a><br />
<a href="https://docs.google.com/file/d/0B-nGmS41qvq5NW83S3FWZjVCaHc/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace;">Inter opt</span></a><br />
<a href="https://docs.google.com/file/d/0B-nGmS41qvq5NDFGUVBHSTRhb0E/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace;">Inter opt 2</span></a><br />
<a href="https://docs.google.com/file/d/0B-nGmS41qvq5QkFsZ09SWFJRRkU/edit?usp=sharing"><span style="font-family: "Courier New", Courier, monospace;">Newtonrapson-simboliva-trozada-simson</span></a><br />
<a href="https://docs.google.com/file/d/0B-nGmS41qvq5SHI4ckZ2a1dOY2s/edit?usp=sharing"><span style="font-family: "Courier New", Courier, monospace;">trozada</span></a><br />
<a href="https://docs.google.com/file/d/0B3DK41iljMebNDNkMzFlYzctY2ExNy00ZWZhLTk0ZDQtZDc1Nzc2MGJmYTEx/edit"><span style="font-family: "Courier New", Courier, monospace;">Interpolación Numérica</span></a><br />
<a href="https://docs.google.com/file/d/0B3DK41iljMebZjU5NTYzMTMtY2RkNS00YTY0LWIxNDgtMGFmNDExYTVmYWIw/edit"><span style="font-family: "Courier New", Courier, monospace;">Integración Numérica</span></a><br />
<a href="https://docs.google.com/file/d/0B3DK41iljMebZjJlZmIwNjUtM2Y0Mi00ODk1LWJhYzEtMTIzNmZjYTlmOTY3/edit"><span style="font-family: "Courier New", Courier, monospace;">Runge Kutta</span></a><br />
<a href="https://docs.google.com/open?id=0B-nGmS41qvq5Qlh4eGxydjlZNzg"><span style="font-family: "Courier New", Courier, monospace;">Codigos C hechos por Andres para no lineales</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5bWxDLWFwajZSdWc/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace;">EDO-Euler-RK-Sist</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5bFN0Z1c2MkNIWTg/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace;">Sistemas de primer orden</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5TUsxLVVxUE5sN3M/edit?usp=sharing" target="_blank"><span style="font-family: "Courier New", Courier, monospace;">ecuacion de segundo orden c/cond Dirichlet</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5cFg4MnhQZFdsbVU/edit?usp=sharing"><span style="font-family: "Courier New", Courier, monospace;">Visualizaciones</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5TUlZNDRDb0ZlU0k/edit?usp=sharing"><span style="font-family: "Courier New", Courier, monospace;">Sistemas Lineales</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5QzFSTHlObkZYVnc/edit?usp=sharing"><span style="font-family: "Courier New", Courier, monospace;">Punto Fijo</span></a><br />
<a href="https://drive.google.com/file/d/0B-nGmS41qvq5bVpneXVmeVRVOFU/edit?usp=sharing"><span style="font-family: "Courier New", Courier, monospace;">Newton Raphson</span></a><br />
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<span style="font-size: x-large;"><strong><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"><u>Algunos códigos Matlab para ir empezando a jugar</u></span></strong><br />
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<strong><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif; font-size: small;">Un código M de fractal ¡corranlo!..</span></strong><br />
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%mandelbrot<br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">function fractal(n)</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace;"><span style="font-size: small;"> x=linspace(-2.1,0.9,200); %rango de valores para x</span><br /><span style="font-size: small;"> y=linspace(-1.5,1.5,200); %rango de valores para y</span><br /><span style="font-size: small;"> [X,Y]=meshgrid(x,y); % se genera un mallado para x,y</span><br /><span style="font-size: small;"> c=X+Y*i; %los valores de x,y forman un numero complejo</span><br /><span style="font-size: small;"> Z=zeros(200); %se forma un vector de ceros para la variable z</span><br /><span style="font-size: small;"> for k=1:n</span><br /><span style="font-size: small;"> Z=Z.^2+c;</span><br /><span style="font-size: small;"> w=exp(-abs(Z));</span><br /><span style="font-size: small;"> pcolor(w);</span></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace;"><span style="font-size: small;"> %se imprime en pantalla el valor de w o sea la forma del fractal</span><br /><span style="font-size: small;"> I(k)=getframe; </span></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace;"><span style="font-size: small;"> % guarda en la variable I las imagenes para ser proyectadas</span><br /><span style="font-size: small;"> end</span></span></span></span></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-size: small;">end</span></span> </span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><strong><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif; font-size: small;">Código M, para Jacobi:</span></strong></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><strong><span style="font-family: Arial; font-size: small;"></span></strong><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;">%metodo de JACOBI</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;">function jacobi=jacobi</span></span></span><br />
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<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> r=input('cuantas ecuaciones'); </span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> A=input('ingrese la matriz A:');</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> b=input('ingrese la matriz b:');</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> H=input('cuantas iteraciones:');</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> X0=zeros(1,r);K=0;Norma=1;</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> fprintf(' K X(1) X(2) X(3) X(4) Norma\n')</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> while Norma&gt;0.0001</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> K=K+1;</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> fprintf('%2d',K)</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> for i=1:r</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> suma=0;</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> for j=1:r</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> if i ~=j</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> suma=suma+A(i,j)*X0(j);</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> end</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> end</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> X(i)=(b(i)-suma)/A(i,i);</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> fprintf('%10.6f',X(i))</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> end</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> Norma=norm(X0-X);fprintf('%10.6f\n',Norma)</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> X0=X;</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> if K&gt;=H</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> break</span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;"> end </span><br />
<span style="font-family: "Courier New", Courier, monospace; font-size: small;">end</span><br />
<span style="font-size: small;"></span><br />
</span></span><br />
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<strong><span style="font-family: "Trebuchet MS", sans-serif;">DE INTERES ALGO DE TEORÍA DE ECUACIONES DIFERENCIALES EN DERIVADAS PARCIALES </span></strong></div>
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</span><br />
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<strong><span style="font-family: "Trebuchet MS", sans-serif;">(ESTA MUY BIEN EN EL MORTON)</span></strong><br />
<strong></strong> </div>
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Trebuchet MS", sans-serif; font-size: small;">Adjunto dos códigos Matlab para ver el fenómeno de propagación de Calor y Ondas:</span></span></span></div>
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br /></div>
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Trebuchet MS", sans-serif; font-size: small;">Calor:</span></span></span></div>
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO_vr20ihcvYC1uY871VVd528FCXBvId9ndjgHvBadNT2sX62aibbYg0uEL2aVgi8m0nvWMjaNwx4mgkMlEiDIBb9HzLhqjpGPtEIsNydCaM_zWHJ2TMvjP_W6o1KmIsJUxftLA2lK_ljn/s1600/calor.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" nx="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO_vr20ihcvYC1uY871VVd528FCXBvId9ndjgHvBadNT2sX62aibbYg0uEL2aVgi8m0nvWMjaNwx4mgkMlEiDIBb9HzLhqjpGPtEIsNydCaM_zWHJ2TMvjP_W6o1KmIsJUxftLA2lK_ljn/s1600/calor.gif" /></a></span></span></div>
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO_vr20ihcvYC1uY871VVd528FCXBvId9ndjgHvBadNT2sX62aibbYg0uEL2aVgi8m0nvWMjaNwx4mgkMlEiDIBb9HzLhqjpGPtEIsNydCaM_zWHJ2TMvjP_W6o1KmIsJUxftLA2lK_ljn/s1600/calor.gif" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><span style="font-family: "Trebuchet MS", sans-serif;"></span></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO_vr20ihcvYC1uY871VVd528FCXBvId9ndjgHvBadNT2sX62aibbYg0uEL2aVgi8m0nvWMjaNwx4mgkMlEiDIBb9HzLhqjpGPtEIsNydCaM_zWHJ2TMvjP_W6o1KmIsJUxftLA2lK_ljn/s1600/calor.gif" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><span style="font-family: "Trebuchet MS", sans-serif; font-size: small;"></span></a></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"><span style="font-family: "Trebuchet MS", sans-serif;">En un recinto circular de radio 1/2 interior a un cuadrado de lado 1 donde u(0)=1 y 0 en el resto, condición de Dirichlet.</span> </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">linspace(0,0.1,20);</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-size: small;">[p,e,t]=initmesh('squareg'); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">[p,e,t]=refinemesh('squareg',p,e,t); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">u0=zeros(size(p,2),1); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">ix=find(sqrt(p(1,:).^2+p(2,:).^2)<0.4); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">u0(ix)=ones(size(ix)); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">tlist=linspace(0,0.1,20); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">u1=parabolic(u0,tlist,'squareb1',p,e,t,1,0,1,1);</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">plot(u1,tlist)</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Trebuchet MS", sans-serif; font-size: small;">Ondas:</span></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWJUTBJl-hOD6Fd8d4YHAkK-0UAdCY8p2TJG3VjwrxpMCFTTt98-zfHj1qoKE5pGz79XGFT-8Dkl1inQyrVSJLr3wre14mNuFFt5zPb1u6-SgQxo9q215Ex4lGEYxziKzkXIIYtewBLFG9/s1600/ondas.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" nx="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWJUTBJl-hOD6Fd8d4YHAkK-0UAdCY8p2TJG3VjwrxpMCFTTt98-zfHj1qoKE5pGz79XGFT-8Dkl1inQyrVSJLr3wre14mNuFFt5zPb1u6-SgQxo9q215Ex4lGEYxziKzkXIIYtewBLFG9/s1600/ondas.gif" /></a></span></span></div>
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWJUTBJl-hOD6Fd8d4YHAkK-0UAdCY8p2TJG3VjwrxpMCFTTt98-zfHj1qoKE5pGz79XGFT-8Dkl1inQyrVSJLr3wre14mNuFFt5zPb1u6-SgQxo9q215Ex4lGEYxziKzkXIIYtewBLFG9/s1600/ondas.gif" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><span style="font-family: "Trebuchet MS", sans-serif;"></span></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWJUTBJl-hOD6Fd8d4YHAkK-0UAdCY8p2TJG3VjwrxpMCFTTt98-zfHj1qoKE5pGz79XGFT-8Dkl1inQyrVSJLr3wre14mNuFFt5zPb1u6-SgQxo9q215Ex4lGEYxziKzkXIIYtewBLFG9/s1600/ondas.gif" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><span style="font-family: "Trebuchet MS", sans-serif; font-size: small;"></span></a></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Trebuchet MS", sans-serif; font-size: small;">En el mismo cuadrado para x=+1 o -1, con condicion de Dirichlet y de Neuman para du/dn=0.</span></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br /></div>
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">[p,e,t]=initmesh('squareg'); </span></span></span></div>
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">x=p(1,:)'; </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">y=p(2,:)'; </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">u0=atan(cos(pi/2*x)); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">ut0=3*sin(pi*x).*exp(cos(pi*y)); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">tlist=linspace(0,5,31); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">uu=hyperbolic(u0,ut0,tlist,'squareb3',p,e,t,1,0,0,1); </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">plot(uu,tlist)</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Corranlos</span><span style="font-family: Courier New;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><strong><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"></span></strong></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><strong><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"></span></strong></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"><u><strong>Por si no los tienen aca colgué algunos programas y otras yerbas:</strong></u></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><strong><u><span style="font-family: Arial; font-size: small;"></span></u></strong></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Para leer archivos</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://djvu.org/resources/"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">djvu</span></a></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.adobe.com/downloads/"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">acrobat Reader</span></a></span></span><br />
<br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Enlace a un sitio con algoritmos de ordenamiento y búsqueda. Hay animaciones, códigos con sus respectivas especificaciones invariantes y complejidades, si alguien quiere subo además mi apunte al respecto.</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.sorting-algorithms.com/"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">sorting-algorithms</span></a></span></span><br />
<br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">También tienen un enlace con un programa de operación algebraíca muy bueno:</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://maxima.sourceforge.net/"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">MAXIMA</span></a></span></span><br />
<br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Es el mejor lenguaje para publicar articulos tecnológicos, matemáticos y con simbología eléctrica:</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.latex-project.org/latex3.html"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">LaTex</span></a></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Tanto es asi que de no publicarse en este programa en las universidades mas importantes, el trabajo ni es tenido en cuenta para evaluar.</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-size: small;"></span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Del siguiente sitio tambien pueden hajarse un editor LaTeX muy bueno </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.xm1math.net/texmaker/"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">TeXmaker</span></a></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Les agrego un manual ingles muy sencillo y en castellano </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.tex.ac.uk/tex-archive/info/latex2e-help-texinfo/spanish/latex2e-es.pdf"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">UkTeX</span></a></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Un tutorial hecho por Mario Bunge (FCEyN UBA) </span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://rinconmatematico.com/instructivolatex/formulas.htm"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Rinco Matematico</span></a></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Para programar:</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.codeblocks.org/downloads/binaries"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">codeblocks_C++</span></a></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Tutoriales de Matlab</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.ib.cnea.gov.ar/~instyctl/Tutorial_Matlab_esp/home.text.html"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">cnea</span></a></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.mathtools.net/MATLAB/Tutorials/index.html"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">mathtools</span></a></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Parecido a Matlab pero gratis</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.gnu.org/software/octave/download.html"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">octave</span></a></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">De matrices:</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><u><a href="http://www.python.org/"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Python</span></a></u></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><u></u></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">De estadística:</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://cran.r-project.org/bin/windows/base/old/2.8.1/"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">R</span></a></span></span><br />
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<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Presentaciones y planillas de cálculo:</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><u><a href="http://download.openoffice.org/index.html"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">openoffice</span></a></u></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><u></u></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Graficos y resolución elemental algebraica</span></span></span><br />
<span style="font-family: Courier New;"><span style="font-size: x-large;"><a href="http://www.geogebra.org/cms/en/download"><span style="font-family: "Courier New", Courier, monospace; font-size: small;">Geogebra</span></a></span></span></div>
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<span style="font-family: Courier New;"><strong><span style="font-size: x-large;">Programa</span></strong></span><br />
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<span style="font-family: Courier New;"><strong>Unidad 1</strong> <em>Introducción Punto Flotante y Errores</em><br /> Concepto de de punto flotante, suma y resta, función flotante, flotante de la suma y producto, errores absoluto y relativo, densidad y distribución de los F dentro de la recta R.<br /> Epsilon de máquina, cancelación catastrófica, soluciones numéricas.<br /><br /><strong>Unidad 2</strong> <em>Normas y Condicionamientos</em><br /> Norma de vectores y matrices, norma 2, normas p e infinito. Radio espectral. Equivalencia de normas, norma de una función, concepto de autovalores y su aplicación en los operadores lineales, cota del operador y continuidad. <br /> Condicionamiento de funciones, normas y matrices, efectos de un mal condicionamiento, concepto de complejidad.<br /><br /><strong>Unidad 3</strong> <em>Resolución de Sistemas Lineales</em><br /> Lineales con método directo: descomposición LU o Gaussaiana, Métodos iterativos, Jacobi Gauss Seidel, análisis de convergencia, via los autovalores, Aplicación a Circuitos via Ley de Ohm y Kirchoff, Método de Potencias, aplicación en el programa Google.<br /><br /><strong>Unidad 4</strong> <em>Resolución de Sistemas no Lineales</em><br /> Sistemas no lineales con los métodos:Bisección algoritmo usando Bolzano, Regula falsi con algoritmo orden de convergencia, Newton Raphson orden de convergencia, concavidad, Punto fijo Teorema de banach Cacciopoli, aplicación a funciónes contractivas,Método de la Secante.<br /><strong></strong><br /><strong>UnidadPrimer parcial 5 </strong><em>Interpolación </em><br /> Polinomio interpolador de Lagrange, Método <br /> de coeficientes indeterminados Matriz de Vandermonde, Norma infinito de funciones, Convergencia Puntual y Convergencia Uniforme, Cota de Error en la Interpolación.<br /><br /><strong>Unidad 6</strong> <em>Integración Numérica</em><br /> Métodos de Integración de Newton Cotes, Trapecios y Simpson, .<br /><br /><strong>Unidad 7</strong> <em>Ortogonalidad Cuadrádos Mínimos interpolacion con Fourier</em><br /> Solucion mas cercana desde la norma2, Matriz de valores especializados en un polinomio genérico, Repaso de algebra lineal y ortogonalidad, ecuaciones normales y pseudoinversa, Regresión Lineal, Polinomios de Tchebychev, Cota óptima. Integración gaussiana, Introducción a las nociones de Hilbert: ortogonalidad y cuadrado integrable, Polinomios de Legendre. Algebra Lineal de dimensión infinita, Espacios de Hilbert, Operador Proyección Ortogonal y sus propiedades, Coordenadas y combinacion lineal, Series, Armonico Fundamental y Espectro, Condición de Dirichlet y Fenómeno de Gibbs, Funciones de Walsh.<br /><br /><strong>Unidad 8</strong> <em>Ecuaciones Diferenciales</em><br /> Ecuaciones Diferenciales Ordinarias Lineales de primer y segundo orden, Método de Euler, Método de Runge Kutta, Método de Taylor ecuaciones en diferencias, Error de Aproximación Generalizado, Soluciones Recursivas, Método de Diferencias Finitas, Consistencia Estabilidad y Convergencia del Método, Error de Truncamiento, Ecuaciones Diferenciales con derivadas parciales, Ecuación de Calor, Ecuación de Ondas, Método de Fourier, Elementos Finitos,problemas variacionales, armado de mallas, matriz de rigidez, vector de carga, en una o más dimensiones, bases de Galérkin, lineales cuadráticas y splines cúbicos, aplicaciones a campos.<br /><br /><br /><br /><br /><strong><span style="font-size: x-large;">Bibliografía</span></strong><br /><br /> [1] D. Kincaid + W. Cheney, Análisis Numérico, Addison-Wesley Iberoamericana, México, 1994.<br /><br /> [2] Duran + Rossi + Lassalle, Cálculo Numérico, Apuntes FCEyN UBA, Buenos Aires, 2006.<br /><br /> [3] Hoffman J.D. Numerical methods for engineers and scientists, 2ed., M.Dekker, NY, 2001.<br /><br /> [4] Poularikas. Transforms and applications handbook 2ed, CRC-IEEE Press, Boca Raton, 2000.<br /><br /> [5] Morton + Mayers, Cambridge Press, Cambridge UK, 2005.<br /><br /> [6] S.C. Chapra + R.P. Canale, Métodos numéricos para ingenieros, 3a Ed., McGraw-Hill, México, 1999.<br /><br /><br /> [7] R. Burden + J.D. Faires, Análisis Numérico, International Thomson Editores, México, 1999.<br /><br /> [8] J.J. Leader, Numerical analysis and scientic computation, Addison-Wesley, New York, 2004.<br /><br /> [9] J.B. Conway, A course in functional analysis, Springer Verlag, NY, 1985.<br /><br /> [10] Susanne Brenner Rydway Scott, The Mathematical Theory of Finite Element Methods. Springer NY, 2008.<br /><br /><strong><span style="font-size: x-large;">Enlaces con otras universidades</span></strong></span><br />
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<a href="http://www.harvard.edu/"><span style="font-family: Courier New;">Harvard</span></a><br />
<a href="http://berkeley.edu/"><span style="font-family: Courier New;">Berkeley</span></a><br />
<a href="http://www.mit.edu/"><span style="font-family: Courier New;">MIT</span></a><br />
<a href="http://www.stanford.edu/"><span style="font-family: Courier New;">Stanford</span></a><br />
<a href="http://www.uni-muenchen.de/index.html"><span style="font-family: Courier New;">Un. Muenchen</span></a><br />
<a href="http://www.polimi.it/"><span style="font-family: Courier New;">Politecnico de Milan</span></a><br />
<a href="http://www.chalmers.se/sv/Sidor/default.aspx"><span style="font-family: Courier New;">Chalmers</span></a><br />
<a href="http://www3.imperial.ac.uk/"><span style="font-family: Courier New;">Imperial College</span></a><br />
<a href="http://www.grenoble-inp.fr/"><span style="font-family: Courier New;">Grenoble IT</span></a><br />
<a href="http://www.impa.br/opencms/pt/"><span style="font-family: Courier New;">IMPA-Br</span></a><br />
<a href="http://numericoelectricafrautn.blogspot.com.ar/"><span style="font-family: "Courier New", Courier, monospace;">UTN-(Fra)</span></a><br />
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