Download presentation

Presentation is loading. Please wait.

Published bySerena Harding Modified over 3 years ago

1
1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Simpson’s Rule Stage 6 - Year 12 General Mathematic (HSC)

2
2 A method of approximating irregular areas. Area = (d f + 4 d m + d L ) FirstMiddleLast x x2x2 x2x2 h3h3 Simpson ’ s Rule End of Slide dfdfdfdf dmdmdmdm dLdLdLdL

3
3 Thomas Simpson ’ s Rule Thomas Simpson (August 20, 1710 – May 14, 1761) was born in Market Bosworth, Leicestershire. The son of a weaver, Simpson taught himself mathematics. He taught mathematics at the Royal Military Academy, Woolwich. Bonaventura Cavalieri Apparently, the method that became known as Simpson's rule was well known and used earlier by Bonaventura Cavalieri (a student of Galileo) in 1639, later rediscovered by James Gregory, and was only attributed to Simpson. End of Slide

4
4 22m24m20m 60m 30m A = (d f + 4 d m + d l ) h3h3 = (22 + 4 x 24 + 20) 30 3 = 1 380 m 2 Simpson ’ s Rule End of Slide

5
5 22m24m20m 30m A = (d f1 + 4 d m1 + d l1 ) h3h3 = (22 + 4 x 26 + 24) 15 3 = 1 470 m 2 For a better result, use Simpson ’ s rule twice. 26m 25m 15m + (d f2 + 4 d m2 + d l2 ) h3h3 + (24 + 4 x 25 + 20) 15 3 60m Simpson ’ s Rule End of Slide

6
6 Simpson ’ s Rule A = (d f1 + 4 d m1 + d l1 ) h3h3 = (0 + 4 x 5 + 2) 12 3 = 200 m 2 Simpson ’ s rule can be used twice here. + (d f2 + 4 d m2 + d l2 ) h3h3 + (0 + 4 x 7 + 0) 12 3 0m5m 0m7m0m 12m 24m 2m End of Show

Similar presentations

OK

GALILEO’S LIFE BY ANDREW WARD 9AF. GALILEO GALILEI Galileo Galilei was born in 1564 and died in 1642. He was a very famous Italian physicist and astronomer.

GALILEO’S LIFE BY ANDREW WARD 9AF. GALILEO GALILEI Galileo Galilei was born in 1564 and died in 1642. He was a very famous Italian physicist and astronomer.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on any one mathematician lovelace Download ppt on ohm's law for class 10 Ppt on any one mathematical quotes Ppt on diode family search Ppt on drinking water in india Ppt on revolution of the earth and seasons diagram Ppt on 5 pen pc technology Free download ppt on motivation theories Ppt on introduction to object-oriented programming examples Ppt on atrial septal defect in infants