Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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MULTIPLE CHOICE QUESTIONS

 

INTRODUCTION TO SCIENTIFIC COMPUTING

Introduction to Numerical Methods [HTML] [FLASH] [PDF] [DOC]

Measuring Errors [HTML] [FLASH] [PDF] [DOC]

Sources of Error [HTML] [FLASH] [PDF] [DOC]

Binary Representation of Numbers [HTML] [FLASH]  [PDF] [DOC]

Floating Point Representation of Numbers [HTML] [FLASH] [PDF] [DOC]

Propagation of Errors [HTML] [FLASH] [PDF] [DOC]

Taylor Series Revisited [HTML] [FLASH] [PDF] [DOC]

 

DIFFERENTIATION

Background  [HTML] [FLASH] [PDF] [DOC]

Continuous Functions [HTML] [FLASH] [PDF] [DOC]

Discrete Functions [HTML] [FLASH] [PDF] [DOC]

 

Nonlinear Equations

Background  [HTML] [FLASH] [PDF] [DOC]

Bisection Method [HTML] [FLASH] [PDF] [DOC]

Newton-Raphson Method [HTML] [FLASH] [PDF] [DOC]

Secant Method [HTML] [FLASH] [PDF] [DOC]

 

SIMULTANEOUS LINEAR EQUATIONS

Background [HTML] [FLASH] [PDF] [DOC]

Gaussian Elimination [HTML] [FLASH] [PDF] [DOC]

LU Decomposition [HTML] [FLASH] [PDF] [DOC]

Gauss-Seidel Method [HTML] [FLASH] [PDF] [DOC]

 

Interpolation

Background [HTML] [FLASH] [PDF] [DOC]

Direct Method [HTML] [PDF] [DOC]

Newton's Divided Difference Method [HTML] [FLASH] [PDF] [DOC]

Lagrange Method [HTML] [FLASH] [PDF] [DOC]

Spline Method [HTML] [FLASH] [PDF] [DOC]

 

REGRESSION

Background [HTML] [PDF] [DOC]

Linear Regression [HTML] [FLASH] [PDF] [DOC]

Nonlinear Regression [HTML] [FLASH] [PDF] [DOC]

 

Integration

Background [HTML] [FLASH] [PDF] [DOC]

Trapezoidal method [HTML] [FLASH] [PDF] [DOC]

Simpson's 1/3rd Rule method [HTML] [FLASH] [PDF] [DOC]

Romberg method [HTML]  [PDF] [DOC]

Gauss-Quadrature method [HTML] [FLASH] [PDF] [DOC]

 

ORDINARY DIFFERENTIAL EQUATIONS

Background [HTML] [FLASH] [PDF] [DOC]

Euler's method [HTML] [FLASH] [PDF] [DOC]

Runge-Kutta 2nd order method [HTML]  [PDF] [DOC]

Runge-Kutta 4th order method [HTML] [FLASH] [PDF] [DOC]

Shooting Method [HTML] [PDF] [DOC]

Finite Difference Method [HTML] [FLASH] [PDF] [DOC]

 

Optimization

Golden Section search method [HTML] [FLASH]  [PDF] [DOC]

Newton's method [HTML] [FLASH]  [PDF] [DOC]

Multidimensional Direct search method [HTML] [FLASH]  [PDF] [DOC]

Multidimensional Gradient search method [HTML] [FLASH] [PDF] [DOC]

 

PARTIAL DIFFERENTIAL EQUATIONS

Background [HTML] [FLASH]  [PDF] [DOC]

Parabolic [HTML] [FLASH[PDF] [DOC]

Elliptic [HTML] [FLASH]  [PDF] [DOC]

 

fast fourier transforms

Continuous Fourier Series [HTML] [FLASH]  [PDF] [DOC

Fourier Transform Pair [HTML] [FLASH] [PDF] [DOC]

Discrete Fourier Transform [HTML] [FLASH] [PDF] [DOC]

Informal Development of Fast Fourier Transform [HTML] [FLASH] [PDF] [DOC]

 

 


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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, 1322586.  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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