Module 9 Summary

Thomas J. Kennedy

Contents:

1 Objectives

Having completed this module students are now prepared to:

  1. Locate and review web-based resources covering interpolation at an introductory level.
  2. Explain how interpolation methods can be employed for trend analysis for simple data (e.g., price analysis and temperature analysis).
  3. Summarize the differences between approximation and interpolation.
  4. Apply Lagrange Interpolation and Newton Interpolation.
  5. Apply piecewise linear interpolation (e.g., in the Semester Project).
  6. Compute interpolation error.
  7. Compare interpolation error to approximation error.

2 Questions to Consider

  1. What is the key difference between approximation and interpolation?
  2. Why are piecewise interpolation methods necessary?
  3. What is Runge’s phenomenon?