Lectures (Video)
- 1. On Solving an Engineering Problem 1
- 2. On Solving an Engineering Problem 2
- 3. Mathematical Procedures 1
- 4. Mathematical Procedures 2
- 5. True Error
- 6. Relative True Error
- 7. Approximate Error
- 8. Relative Approximate Error
- 9. Round-off Error
- 10. Significant Digits
- 11. Truncation Error
- 12. Truncation Error Example 1
- 13. Truncation Error: Example 2
- 14. Truncation Error: Example 3
- 15. Introduction to Binary Representation
- 16. Conversion Method 1
- 17. Conversion Method 2
- 18. Background 1
- 19. Background 2
- 20. Background 3
- 21. Example
- 22. Biased Exponent Example
- 23. Single Precision 1
- 24. Single Precision 2
- 25. Propagation of errors
- 26. Taylor Series Intro
- 27. Taylor Series Example
- 28. Example 1
- 29. Example 2
Introduction to Scientific Computing
Course Summary
This course is based on Introduction to Scientific Computing made available by Holistic Numerical Methods Institute, University of South Florida under the Creative Commons BY-NC-SA license.
This course introduces the use of numerical methods to solve scientific and engineering problems. Topics covered include how to measure errors, sources of errors, binary representation of numbers, floating point representation, propagation of errors and Taylor Series. It is accompanied by a comprehensive set of video lectures, presentation slides, textbook notes and worksheets. The lectures are in short segments of 5-10 minutes.
Reading Material
1. Numerical Methods with Applications - Chapter 1Author: Autar Kaw et al.
Publisher: http://www.autarkaw.com
Published: May 4, 2010
ISBN: 978-0-578-05765-1
