Module 9 Summary
Thomas J. Kennedy
Contents:
1 Objectives
Having completed this module students are now prepared to:
- Locate and review web-based resources covering interpolation at an introductory level.
- Explain how interpolation methods can be employed for trend analysis for simple data (e.g., price analysis and temperature analysis).
- Summarize the differences between approximation and interpolation.
- Apply Lagrange Interpolation and Newton Interpolation.
- Apply piecewise linear interpolation (e.g., in the Semester Project).
- Compute interpolation error.
- Compare interpolation error to approximation error.
2 Questions to Consider
- What is the key difference between approximation and interpolation?
- Why are piecewise interpolation methods necessary?
- What is Runge’s phenomenon?