Numerical Methods by Topic Bisection Method Newton-Raphson Method Secant Method Direct Method Newton's Divided Difference Method Lagrange Method Spline Method Trapezoidal Rule Simpson's 1/3rd Rule Romberg Integration Gauss-Quadrature Rule Discrete Data In


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INTRODUCTION	DIFFERENTIATION	Nonlinear Eqns	Simul LIN EQNS
Introduction Measuring Errors Sources of Error Binary Representation Floating Pt Representation Propagation of Errors Taylor Theorem Revisit	Primer on Differentiation Continuous Function Discrete Function	Quadratic Equations Cubic Equations Bisection Method Newton-Raphson Meth Secant Method False- Position Method	Intro to Matrix Algebra Gaussian Elimination Gauss-Seidel Met LU Decomposition Cholesky and LDL^T Decom

Interpolation	REGRESSION	integration	ORDINARY DIFF EQNS
Primer on Interpolation Direct Method Newton's Dif Method Lagrange Method Spline Method	Primer on Regression Linear Regression Nonlinear Regression Adequacy of Regression	Integral Calc Primer Trapezoidal Rule Simpson's 1/3rd Rule Romberg Integration Gauss-Quad Rule Discrete Data Integration Improper Integration Simpson's 3/8 Rule	Primer on ODE Euler's Method Runge-Kutta 2nd Runge-Kutta 4th Finite Diff Method Shooting Method Higher Order/Coupled
SPECIAL TOPICS
	Partial Differential Eqns	Fast Fourier Transforms	Optimization

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624, 0836981, 0836916, 0836805. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other sponsors include Maple, MathCAD, USF, FAMU and MSOE. Based on a work at http://mathforcollege.com/nm. Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.		ANALYTICS