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Intro | Differentiation | Nonlinear Eqns | Simul Linear Eqns | Interpolation | Regression | Integration | ODE


COMPREHENSIVE LIST OF TOPICS

INTRODUCTION

Introduction

Measuring Errors

Sources of Error

Binary Representation

Floating Pt Representation

Propagation of Errors

Taylor Theorem Revisit

Nonlinear Eqns

Quadratic Equations

Cubic Equations

Bisection Method

Newton-Raphson Meth

Secant Method

Simul LIN EQNS

Intro to Matrix Algebra

Gaussian Elimination

Gauss-Seidel Met

LU Decomposition

 

 

 

 

RESOURCES BY CONTEXT

Background info

Books

PowerPoints

Worksheets

Multiple-choice tests

Anecdotes

Videos

Experiments

Blog

Physical problems

 

RESOURCES BY CLASS

Procedure, mathematical package, and engineering major

Topic

Resource type

Language

Engineering major

books

Numerical Methods

Intro to Matrix Algebra

DIFFERENTIATION

Primer on Differentiation

Continuous Function

Discrete Function

 

 

 

 

Interpolation

Primer on Interpolation

Direct Method

Newton's Dif Method

Lagrange Method

Spline Method

 

 

 

 

integration

Integral Calc Primer 

Trapezoidal Rule

Simpson's 1/3rd Rule

Romberg Integration

Gauss-Quad Rule

Discrete Data Integration

Improper Integration

ORDINARY DIFF EQNS

Primer on ODE

Euler's Method

Runge-Kutta 2nd

Runge-Kutta 4th

Finite Diff Method

Shooting Method

Higher Order/Coupled

REGRESSION

Primer on Regression

Linear Regression

Nonlinear Regression

 

 

 

 

SPECIAL TOPICS

Fast Fourier Transforms

 

 

 

 

 


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Copyrights: UnCreative Commons Licenseiversity 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.  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.  Numerical Methods for Undergraduates by http://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.  Based on a work at numericalmethods.eng.usf.edu.