Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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PRIMER ON ORDINARY DIFFERENTIAL EQUATIONS

CHAPTER 08.01

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Ordinary Differential Equations [PDF] [DOC]

Objectives of Ordinary Differential Equations [PDF] [DOC]

TEXTBOOK CHAPTER

 

A Primer on Ordinary Differential Equations [PDF] [DOC]

DIGITAL AUDIOVISUAL LECTURES

 

Exact Solution of 1st order ODE [YOUTUBE 6:48] [TRANSCRIPT]

Exact Solution of 1st order ODE: Another Example [YOUTUBE 7:37] [TRANSCRIPT]

Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation [YOUTUBE  8:50] [TRANSCRIPT] 

Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation [YOUTUBE  8:41] [TRANSCRIPT]

Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation [YOUTUBE  9:34] [TRANSCRIPT]

MULTIPLE CHOICE TESTS

 

Test Your Knowledge of Background of Ordinary Differential Equation [HTML] [FLASH] [PDF] [DOC]

BLOG ENTRIES

 

Time of Death - a Classic ODE Problem [BLOG]

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

 

Numerical Methods of Differential Equations [NBP]

RELATED TOPICS

 

Euler's Method

Runge-Kutta 2nd

Runge-Kutta 4th

Finite Diff Method

Shooting Method

Higher Order/Coupled

  > Home > Ordinary Differential Equations

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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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