Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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DISCRETE DATA INTEGRATION

CHAPTER 07.06

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Integrating Discrete Functions  [PDF] [DOC]

Objectives of Integrating Discrete Functions  [PDF] [DOC]

TEXTBOOK CHAPTER
  A Textbook Chapter on Integrating Discrete Functions [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
 

Integrating Discrete Functions by Average Method [YOUTUBE 8:29] [TRANSCRIPT]

Integrating Discrete Functions by Trapezoidal Rule [YOUTUBE  10:52] [TRANSCRIPT]

Integrating Discrete Functions via Polynomial Interpolation [YOUTUBE 9:32] [TRANSCRIPT]

Integrating Discrete Functions via Spline Interpolation [YOUTUBE 5:32] [TRANSCRIPT]

Integrating Discrete Functions via Regression Method [YOUTUBE 8:23] [TRANSCRIPT]

PRESENTATIONS
 

PowerPoint Presentation for Discrete Data Integration [PDF] [PPT]

WORKSHEETS
  Integrating Discrete Functions [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

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

 

The Definition of a Derivative [NBP]

Using Sampled Data to Estimate Derivatives, Integrals, and Interpolated Values [NBP]

RELATED TOPICS

 

Integral Calc Primer 

Trapezoidal Rule

Simpson's 1/3rd Rule

Romberg Integration

Gauss-Quad Rule

Improper Integration

Simpson's 3/8 Rule

  > Home > Integration

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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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