Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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KEYWORD


A

   About

   Anecdotes

   Awards

   Assessment, Self

   Audience

   Audiovisual Instruction

 

B

   Biographies

   Bisection Method

   Background Primers

   Binary Representation

   Blog

   Blog Entries

 

C

   Comprehensive List of Numerical Methods

   Contact

   Continuous Fourier Series

   Continuous Function Differentiation

   Cotes

   Cubic Equations

 

D

  Differentiation

  Differential Calculus, Primer

  Digital Audiovisual Lectures

  Direct Method of Interpolation

  Discrete Function Differentiation

  Discrete Data Integration

  Discrete Fourier Transform

  Dissemination

 

E

   Elliptic Partial Differential Equations

   Equations, quadratic

   Equations, cubic

   Euler

   Euler's Method

   Experiments

 

F

   Fast Fourier Transform

   FAQs

   Finite Difference Method for ODEs

   Finite Element Methods

   Floating Point Representation

   Fourier Transform Pair

 

G

  Galios Biography

  Gauss Biography

  Gauss-Quadrature Rule

  Gaussian Elimination

  Gauss-Quad Rule

  Gauss-Seidel Method

  Golden Section Search Method

 

H

  Higher Order Differential Equations

  Higher Order Interpolation

 

I

   Improper Integration

   Informal Development of Fast Fourier Transform

   Instructional Videos

   Integration

   Integration, Discrete Data

   Integration, Primer

   Integration, Trapezoidal Rule

   Integration, Gauss Quadrature

   Integration, Simpson 1/3 rule

   Introduction to Fourier Series

   Introduction to Numerical Methods

   Introduction to Matrix Algebra

   Introduction to Matrix Algebra Textbook

   Introduction to Partial Differential Equations

 

 

J

 

K

  Keyword

   Kutta

 

L

   Lagrange

   Lagrange Method of Interpolation

   Linear Regression

   LU Decomposition

 

M

   Maple, Worksheets

   MathCAD Worksheets

   MATHEMATICA Worksheets

   MATLAB Worksheets

   Matrix Algebra, Primer

   Measuring Errors

   Mission

   Mobile Version

   Multidimensional Direct Search Method

   Multidimensional Gradient Search Method

   Multiple Choice Questions

N

  Naive Gaussian Elimination

  Newton

  Newton's Divided Difference Method

  Newton's Method, Optimization

  Newton-Raphson Method

  No Divide Unit

  Nonlinear Equations

  Nonlinear Equations, Newton-Raphson Method

  Nonlinear Regression

  Numerical Methods with Applications Textbook

 

O

   Objectives

   Ordinary Diff Eqn, Euler's Method

   ODE, Runge-Kutta 2nd Order Method

   ODE, Runge-Kutta 4th Order Method

   ODE, Shooting Method

   Ordinary Differential Equation, Primer

 

P

   Parabolic Partial Differential Equations

   Partial Differential Equations, Elliptic

   Partial Differential Equations, Finite Element Methods  

   Partial Differential Equations, Introduction

   Partial Differential Equations, Parabolic

   People

   Physical Problems for Numerical Methods

   Primers (Background)

   Primer on Differential Calculus

   Primer on Integration

   Primer on Matrix Algebra

   Primer on Nonlinear Equations

   Primer on Ordinary Differential Equation

   Primer on Regression

   Power Point Presentations

   Propagation of Errors

   Publications

 

Q

   Quadratic Equations

 

R

   Real-world physical problems

   Recent News

   Regression, Nonlinear

   Requirements

   Resources

   Resources by Engineering major

   Resources by Language

   Resources by Topic

   Romberg Integration

   Runge-Kutta 2nd Order Method

   Runge-Kutta 4th Order Method

   Runge

   Romberg Integration

 

S

   Search the website

   Secant Method

   Shooting Method

   Simplex Method

   Simpson Biography

   Simpson's 1/3rd Rule

   Simulations

   Sources of Error

   Spline Method of Interpolation

   System of Equations

 

T

   Taylor Theorem (Series) Revisited

   Textbook, Matrix Algebra

   Textbook, Numerical Methods

   Theoretical Development of Fast Fourier Transform

   Tracks

   Trapezoidal Rule

 

U

   Unique Polynomial   

V

    Videos

 

W

   Worksheets in Maple

   Worksheets in MathCAD

   Worksheets in MATHEMATICA

   Worksheets in MATLAB

  

X

 

Y

   YouTube videos

 

Z

 


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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.

 

ANALYTICS