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Numerical Methods for the STEM Undergraduate

(STEM: Science Technology Engineering Mathematics)


TOPICS UNDER DEVELOPMENT

Introduction to Scientific Prog

Fast Fourier Transforms

Optimization

Partial Differential Equations

Nonlinear Equations

Quadratic Equations

Cubic Equations

Bisection Method

 Newton-Raphson Meth

 Secant Method

Simultaneous LIN EQNS

Intro to Matrix Algebra

Gaussian Elimination

 Gauss-Seidel Met

LU Decomposition

 

DIFFERENTIATION

Primer on Differentiation

Continuous Function

Discrete Function

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 EQUATIONS

ODE Primer

Euler's Method

 Runge-Kutta 2nd

 Runge-Kutta 4th

 Finite Diff Method

 Shooting Method

REGRESSION

Background

Linear Regression

Nonlinear Regression

 

 

books

Numerical Methods

Intro to Matrix Algebra

 

 

 

     Text Links


RESOURCES BY TOPIC

Differentiation

Nonlinear equations,

Simultaneous linear equations

Interpolation

Regression

Integration

Ordinary differential equations.

RESOURCES BY CONTEXT

Background information

Numerical Methods

Introduction to Matrix Algebra

Power point presentations

Simulations,

Multiple-choice tests

Anecdotes

EBooks

Videos (prototype)

Experiments

Blog

Real-world physical problems

RESOURCES BY CATEGORY

Procedure, mathematical package, and engineering major

Topic

Resource type

Language

Engineering major


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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 and 0717624.  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.