Week 6

Welcome here you will find material relating to the Topics: 


Simpson's Rule 


Simpson's Rule for Volume

Irregular Areas 

All presentations shown in class and all work sheets with answers can be found on this page. 

Image courtesy of Self-build.ie
Overview 

This weeks intro. and overview can be found opposite.

Presentations are available in PDF format to accommodate screen readers or to use audios.  

QM Wk 5 intro 2021.pptx QM Wk 5 intro 2021.pptx
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QM Wk 5 intro 2021.pdf QM Wk 5 intro 2021.pdf
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Simpson's Rule 

Simpson’s Rule is used to calculate the area of an irregular surface.

The surface is measured using Ordinates (or Lengths).


Area =W/3 { (first + last) + 4 (evens) + 2 (odds) }

 

1 Simpson's Rule.pptx 1 Simpson's Rule.pptx
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1 Simpson's Rule.pdf 1 Simpson's Rule.pdf
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The Ordinates are measured at regular intervals along the baseline and at right angles to the baseline in this case the road. 
Simpson’s Rule Volume

Simpson’s Rule for Volume first you need to calculate the cross sectional areas at regular intervals (The Ordinates).

Once you have calculated these you can then insert the values into the formula.


Area =W/3 { (first + last) + 4 (evens) + 2 (odds) }

2 Simpson's Rule Volume .pptx 2 Simpson's Rule Volume .pptx
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2 Simpson's Rule Volume .pdf 2 Simpson's Rule Volume .pdf
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Simpson’s Rule Irregular Shapes
First you need to calculate the missing lengths of the triangle sides if they are not provided. 
3 Simpson's Rule Irregular Areas.pptx 3 Simpson's Rule Irregular Areas.pptx
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3 Simpson's Rule Irregular Areas.pdf 3 Simpson's Rule Irregular Areas.pdf
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Work Sheets For Week 1

Practice completing these worksheets and then check your work against the answer sheet provided. Remember that you are trying to learn the method for solving each question so marks are awarded for attempt and correct method. 

If you are getting lots of the questions wrong then please speak up at the next class or email me a sample of your work. 

Remember to save file as your name and clearly label the worksheet and question number. 

Good Luck!

Simpson Rule Work sheet.pdf Simpson Rule Work sheet.pdf
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Simpsons Rule for volume Worksheet.pdf Simpsons Rule for volume Worksheet.pdf
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Irregular Areas Worksheet.pdf Irregular Areas Worksheet.pdf
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