Learning Objectives
Upon successful completion of this module, you will be able to:
1) Define interpolation
Videos
Title: What is interpolation?
Summary: Learn what interpolation is and revisit linear polynomial interpolation from your previous courses.
Learning Objectives: After watching this video, you will be able to define interpolation and conduct linear interpolation for discrete data.
Narrated Slides: View the narrated slides
Title: Uniqueness of an Interpolating of Polynomial
Summary: This video discusses the polynomial of order n or less that passes through (n+1) data points is unique.
Learning Objectives: After watching this video, you will be able to prove that the polynomial of order n or less that goes through (n+1) data points is unique. Since there are many methods to find interpolating polynomials, such as Direct Method, Lagrangian Interpolation, Newton Divided Difference Interpolation, etc, it is important to recognize that all these polynomial forms may be different but they are the same.
Title: Reviewing exact length of a path
Summary: Given a function, we review how to find the exact length of a curve.
Learning Objectives: After watching this video, you will be able to find the exact length of a curve provided the resulting integral can be solved exactly.