Chapter 07.02 Trapezoidal Rule

Prerequisites & Objectives

Prerequisites for Trapezoidal Method [PDF] [DOC]

Objectives of Trapezoidal Method[PDF] [DOC]

Textbook Chapter

A Textbook Chapter on Trapezoidal Rule [PDF] [DOC]

Digital Audiovisual Lectures

Trapezoidal Rule Derivation [YOUTUBE10:51] [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] [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]

Wolfram Demonstration

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

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]

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