Transforming Numerical Methods Education for the STEM Undergraduate MOBILE | VIDEOS | BLOG | YOUTUBE | TWITTER | COMMENTS | ANALYTICS | ABOUT | CONTACT | COURSE WEBSITES | BOOKS | MATH FOR COLLEGE |

BACKGROUND

Pre-Requisites for Interpolation [PDF] [DOC]

Objectives of Interpolation [PDF] [DOC]

What is Interpolation? [PDF] [DOC]

History of Interpolation [PDF] [DOC]

Test Your Knowledge on Background of Interpolation  [HTML] [FLASH] [PDF] [DOC]

PHYSICAL PROBLEM

The upward velocity of a rocket is given as a function of time. To find the velocity of the rocket at some other time, the problem requires interpolation. [PDF] [DOC]

NUMERICAL METHOD

Pre-Requisites for Direct Method of Interpolation [PDF] [DOC]

Objectives of Direct Method of Interpolation [PDF] [DOC]

How does the Direct Method Work? [PDF] [DOC]

Cubic Interpolation - Part 1 of 2 [YOUTUBE 9:37]

Cubic Interpolation - Part 2 of 2 [YOUTUBE 7:51]

A Power Point Presentation [PDF] [PPT]

Worksheets of the Method [PDF] [MCD]

Test Your Knowledge of the Direct Method [HTML] [PDF] [DOC]

Pre-Requisites for Newton's Divided Difference Polynomial Method [PDF] [DOC]

Objectives of Newton's Divided Difference Polynomial Method [PDF] [DOC]

How does the Newton's divided Difference Polynomial Method Work? [PDF] [DOC]

A Power Point Presentation [PDF] [PPT]

Worksheets of the Method [PDF] [MCD]

Test Your Knowledge of the Method [[HTML] [FLASH] [PDF] [DOC]

Pre-Requisites for Lagrange Method [PDF] [DOC]

Objectives of Lagrange Method [PDF] [DOC]

How does the Lagrange method work? [PDF] [DOC]

A Power Point Presentation [PDF] [PPT]

Worksheets of the Method [PDF] [MCD]

Test Your Knowledge of the Lagrange Method [HTML] [FLASH] [PDF] [DOC]

Pre-Requisites for Spline Method of Interpolation [PDF] [DOC]

Objectives of Spline Method of Interpolation [PDF] [DOC]

How does the Spline Method Work? [PDF] [DOC]

Linear Spline Interpolation: Theory [YOUTUBE 7:56]

Linear Spline Interpolation: Example [YOUTUBE 5:27]

A Power Point Presentation [PDF] [PPT]

Worksheets of the Method [PDF] [MCD]

Test Your Knowledge of the Spline Method of Interpolation [HTML] [FLASH] [PDF] [DOC]

ANECDOTES

The Lurking Dangers of Extrapolation! [PDF] [DOC] [MCD] [PDF]

Why is Higher Order Interpolation is a Bad Idea? [PDF] [DOC] [MCD] [PDF]

Comparison of Spline and Polynomial Interpolation. [PDF] [DOC] [MCD] [PDF]

How Choice of Points of Interpolation Affects Approximations! [PDF] [DOC] [MCD] [PDF]

How Splines Can Help in Developing a Shorter Path for a Robot!  [PDF] [DOC] [MCD] [PDF]

Runge [HTML] [PDF] [DOC]

Newton [HTML] [PDF] [DOC]

Lagrange [HTML] [PDF] [DOC]