The main goals of this MATLAB Exploration exercise are to use MATLAB to explore visually the properties of Lagrange polynomials

The objectives are:

1. Extend the students' use of MATLAB to explore mathematical concepts;
2. Strengthen and enhance the students' expertise with MATLAB, especially the plotting/graphing commands; and
3. Graphically/visually investigate the properties of Lagrange polynomials.

The sample take-home assignment is intended for an upper level undergraduate/first year graduate Numerical Analysis course. In class the students should have been introduced to Lagrange polynomials. Although programming is a prerequisite for most Numerical Analysis courses most, if not all, students may not have used MATLAB. They have been encouraged to spend a few hours at a link like:

Getting started with MATLAB (Mathworks)

http://www.mathworks.com/help/matlab/getting-started-with-matlab.html

or going through the beginning lessons in a text like Getting Started with MATLAB, Seventh by Rudra Pratap.

This was the third assignment to encourage students to use computation to investigate mathematical concepts.

MATLAB Exploration III: "Use MATLAB to Explore Lagrange Polynomials" (Acrobat (PDF) 231kB Aug8 19)

Each student's solution will be assessed for correctness.

Getting started with MATLAB (Mathworks)
http://www.mathworks.com/help/matlab/getting-started-with-matlab.html

Getting Started with MATLAB, Seventh, Pratap, Rudra, Oxford University Press, 2017.

Numerical Analysis, Tenth, Burden, Richard L., Faires, J. Douglas and Burden, Annette M., Cengage Learning, 2016.