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


TRAPEZOIDAL RULE

CHAPTER 07.02

How a Learner Can Use This Module


PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Trapezoidal Method [PDF] [DOC]

Objectives of Trapezoidal Method [PDF] [DOC]

TEXTBOOK CHAPTER
  Textbook Chapter of Trapezoidal Method [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
 

Trapezoidal Rule Derivation [YOUTUBE 10:51] [TRANSCRIPT]

Trapezoidal Rule: Example [YOUTUBE  7:18] [TRANSCRIPT] 

Trapezoidal Rule Multiple Segment Rule: Motivation [YOUTUBE 4:53] [TRANSCRIPT]

Trapezoidal Rule Multiple Segment Rule: Derivation [YOUTUBE 7:48] [TRANSCRIPT]

Trapezoidal Rule Multiple Segment Rule: Example: Part 1 of 2 [YOUTUBE 8:17] [TRANSCRIPT]

Trapezoidal Rule Multiple Segment Rule: Example: Part 2 of 2 [YOUTUBE 3:41] [TRANSCRIPT]

Trapezoidal Rule Multiple Segment Rule: Error Derivation [YOUTUBE  8:46] [TRANSCRIPT] 

Trapezoidal Rule Multiple Segment Rule: Error Example [YOUTUBE  8:52] [TRANSCRIPT] 

Method of Undetermined Coefficients: Trapezoidal Rule Derivation [YOUTUBE 10:00] [TRANSCRIPT]

MULTIPLE CHOICE TEST
 

Test Your Knowledge of Trapezoidal Method [HTML] [FLASH] [PDF] [DOC]

PRESENTATIONS
 

PowerPoint Presentation for Trapezoidal Rule [PDF] [PPT]

WORKSHEETS
 

Worksheet of Trapezoidal Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

Convergence Worksheet of Trapezoidal Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

BLOG ENTRIES
 

Is it Just a Coincidence - True Error in Multiple Segment Trapezoidal Rule Gets Approximately Quartered as the Number of Segments is Doubled? [BLOG]

Can I Use Trapezoidal Rule to Calculate an Improper Integral? [BLOG]

Automatic Integrator Using the Trapezoidal Rule [BLOG]

Another Improper Integral Solved Using Trapezoidal Rule [BLOG]

EXAMPLES FROM OTHER MAJORS

 

Chemical Engineering Example of Trapezoidal Method of Integration  [PDF]  [DOC] [PHY

Civil Engineering Example of Trapezoidal Method of Integration  [PDF]  [DOC] [PHY

Computer Engineering Example of Trapezoidal Method of Integration  [PDF [DOC] [PHY]

Electrical Engineering Example of Trapezoidal Method of Integration  [PDF [DOC] [PHY]

Industrial Engineering Example of Trapezoidal Method of Integration  [PDF [DOC] [PHY]

Mechanical Engineering Example of Trapezoidal Method of Integration  [PDF [DOC] [PHY]

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

 

Numerical Integration Using Rectangles, the Trapezoidal Rule, or Simpson's Rule [NBP]

RELATED TOPICS

 

Integral Calc Primer 

Simpson's 1/3rd Rule

Romberg Integration

Gauss-Quad Rule

Discrete Data Integration

Improper Integration

Simpson's 3/8 Rule


  > Home > Integration

 


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.  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