{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "N\u00fameros no computador\n", "====\n", "* Representa\u00e7\u00e3o dos n\u00fameros numa base $\\beta$\n", "* Ponto flutuante e n\u00fameros de computad\n", "* Erro relativo e erro absoluto" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solu\u00e7\u00f5es de equa\u00e7\u00f5es n\u00e3o lineares\n", "====\n", "* Revis\u00e3o de Polin\u00f4mios de Taylor\n", "* Crit\u00e9rios de exist\u00eancia de solu\u00e7\u00f5es\n", "* M\u00e9todo da Dicotomia\n", "* M\u00e9todo de Newton\n", "* Ordem de converg\u00eancia" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solu\u00e7\u00f5es de sistemas lineares\n", "====\n", "* M\u00e9todo direto: Elimina\u00e7\u00e3o de Gauss\n", "* M\u00e9todo indireto: Jacobi e Gauss Seidel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aproxima\u00e7\u00e3o de fun\u00e7\u00f5es: M\u00e9todo dos M\u00ednimos quadrados discreto.\n", "====\n", "* sistema normal\n", "* fam\u00edlia ortogonal\n", "* polin\u00f4mios ortogonais" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aproxima\u00e7\u00e3o de fun\u00e7\u00f5es: M\u00e9todo dos M\u00ednimos quadrados, caso cont\u00ednuo\n", "====\n", "* S\u00e9ries de Fourier\n", "* Polin\u00f4mios Ortogonais" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aproxima\u00e7\u00e3o de fun\u00e7\u00f5es: Polin\u00f4mios interpoladores\n", "====\n", "* Forma de Lagrange\n", "* Forma de Newton\n", "* diferen\u00e7as divididas e derivadas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Integra\u00e7\u00e3o Num\u00e9rica\n", "====\n", "* M\u00e9todos do trap\u00e9zio e Simpson\n", "* M\u00e9todo de Gauss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Resolu\u00e7\u00e3o de equa\u00e7\u00f5es diferenciais ordin\u00e1rias\n", "====\n", "* Problema de Cauchy\n", "* M\u00e9todo de Euler\n", "* Ordem de converg\u00eancia\n", "* M\u00e9todos de Runge-Kutta" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }