Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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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 LDLT 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

 

RESOURCES BY

     
SPECIAL TOPICS  CONTEXT CLASS RECENT TWEETS

Partial Differential Eqns

Fast Fourier Transforms

Optimization

Background info

Books

PowerPoints

Worksheets

Multiple-choice tests

Anecdotes

Videos

Experiments

Blog

Physical problems

Procedure, mathematical package, and engineering major

Topic

Resource type

Language

Engineering major

EXTERNAL LINKS

Wolfram Demos

NCLab

 

books

Numerical Methods

Intro to Matrix Algebra

 


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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# Creative Commons License0126793, 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.

 

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