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Lectures (Video)

Numerical Methods VI

Course Summary

This course is based on Numerical Methods - Integration made available by Holistic Numerical Methods Institute, University of South Florida under the Creative Commons BY-NC-SA license.
This is a course on the basics of numerical methods and how they are used to solve scientific and engineering problems. It is accompanied by a comprehensive set of video lectures, presentation slides, textbook notes, worksheets and application examples. The lectures are in short segments of less than 10 minutes. Part VI covers the numerical integration using the trapezoidal rule, Simpson rule, Romberg method and Gaussian Quadrature rule.

Reading Material

1. Numerical Methods with Applications - Chapter 7
Author: Autar Kaw et al.
Publisher: http://www.autarkaw.com
Published: May 4, 2010
ISBN: 978-0-578-05765-1

Course Material

1. What is Integration?

2. A Primer on Integral Calculus

3. Test Your Knowledge of Background of Integral Calculus

4. Physical Problem
A physical problem of finding if the shaft has contracted enough to be shrink fit into a hollow hub.

5. Integrating Discrete Function

6. Integrating Improper Integrals

7. Historical Notes - Newton

8. Historical Notes - Cotes

9. Historical Notes - Gauss

10. Historical Notes - Simpson

11. Historical Notes - Romberg

12. Examples of Trapezoidal Method

Chemical Engineering
Civil Engineering
Computer Engineering
Electrical Engineering
Industrial Engineering
Mechanical Engineering

13. Examples of Simpson's 1/3 Rule

Chemical Engineering
Civil Engineering
Computer Engineering
Electrical Engineering
Industrial Engineering
Mechanical Engineering

14. Examples of Romberg Method

Chemical Engineering
Civil Engineering
Computer Engineering
Electrical Engineering
Industrial Engineering
Mechanical Engineering

15. Examples of Gauss-Quadrature Method

Chemical Engineering
Civil Engineering
Computer Engineering
Electrical Engineering
Industrial Engineering
Mechanical Engineering

16. Sample Tests

Trapezoidal Method
Simpsons 1/3 Rule
Romberg Method
Gauss-Quadrature Method

Other Resources

Not available.

Software

Not available.


 

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