Help Needed: Linear Interpolation & Numerical Integration Basics

[sparsh]

Could someone please give me a basic idea on the following :

a) Use of linear interpolation . the Newton Raphson method (a geometrical approach)

b) numerical integration . the trapezium rule.

I need to know just the basics for an exam so please be descriptive in your post.

Thanks a lot

Regards
Sparsh

 

[Hootenanny]

There is plenty of litriture on the interent of these subjects beginning at explanations appropriate for GCSE studens (15 year olds) and more complex ones if required.

~H

 

[J77]

(a) http://mathworld.wolfram.com/NewtonsMethod.html

(b) http://mathworld.wolfram.com/TrapezoidalRule.html (http://mathworld.wolfram.com/Newton-CotesFormulas.html)

 

[sparsh]

I want to find something for the 15 year olds. The content on the wolfram site is a bit too complex for a first time understanding .

 

[Hootenanny]

Trapezium Rule

Simple;
http://www.mathsrevision.net/gcse/pages.php?page=5

Slightly more compex;
http://www.mathsrevision.net/alevel/pages.php?page=44

You wish to used Newton's root finding method which uses Taylor's series for 15 year olds?

~H

 

[sparsh]

No actually i need to know it for a mathematics A level paper. (India Standard 12) and am 17 year old .

 

[sparsh]

And thanks a lot. The second article was quite useful.

I invite you to join my website forums at http://www.alchemy-education.com/Board

You guys really help .