Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

MOOC | MOBILE | VIDEOS | BLOG | YOUTUBE | TWITTER | COMMENTS | ANALYTICS | ABOUT | CONTACT | COURSE WEBSITES | BOOKS | MATH FOR COLLEGE


EULER'S METHOD

CHAPTER 08.02

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Euler's Method [PDF] [DOC]

Objectives of Euler's Method [PDF] [DOC]

TEXTBOOK CHAPTER

 

Textbook Chapter on Euler's Method [PDF] [DOC]

DIGITAL AUDIOVISUAL LECTURES

 

Euler's Method of Solving ODEs: Derivation  [YOUTUBE 9:53] [TRANSCRIPT]

Euler's Method of Solving ODEs: Example [YOUTUBE 10:57] [TRANSCRIPT]

Euler's Method of Estimating Integrals: Theory [YOUTUBE  7:11] [TRANSCRIPT] 

Euler's Method of Estimating Integrals: Example [YOUTUBE  8:58] [TRANSCRIPT]

MULTIPLE CHOICE TEST

 

Test Your Knowledge of Euler's method [HTML] [FLASH] [PDF] [DOC]

PRESENTATIONS

 

PowerPoint Presentation on Euler's Method [PDF] [PPT]

WORKSHEETS

 

Worksheet of Euler's Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

Convergence Worksheet of Euler's Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

EXAMPLES FROM OTHER MAJORS

 

Chemical Engineering Example on Euler's Method  [PDF]  [DOC] [PHY

Civil Engineering Example on Euler's Method  [PDF]  [DOC] [PHY

Computer Engineering Example on Euler's Method  [PDF [DOC] [PHY]

Electrical Engineering Example on Euler's Method  [PDF [DOC] [PHY]

Industrial Engineering Example on Euler's Method  [PDF [DOC] [PHY

Mechanical Engineering Example on Euler's Method  [PDF [DOC] [PHY]

WOLFRAM DEMONSTRATION (External link | What are Wolfram Demonstrations? | Do need free Mathematica Player to run)

 

Global and Local Errors in Runge-Kutta Methods [NBP]

RELATED TOPICS

 

Primer on ODE

Runge-Kutta 2nd

Runge-Kutta 4th

Finite Diff Method

Shooting Method

Higher Order/Coupled

 

> Home > Ordinary Differential Equations


AUDIENCE |  AWARDS  |  PEOPLE  |  TRACKS  |  DISSEMINATION  |  PUBLICATIONS


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