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# Core 3 Simpsons Rule

## on May 12, 2009

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Designed for OCR A Level mathematics.

Designed for OCR A Level mathematics.

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## Core 3 Simpsons RulePresentation Transcript

• Starter Use the Trapezium Rule with four intervals to estimate the value of Have you overestimated or underestimated the true area? 3.28 (3 s.f.)
• Objective: to understand Simpson’s Rule Thomas Simpson (1710 – 1761)
• Simpson’s Rule Simpson’s Rule was actually invented by Sir Isaac Newton but Thomas Simpson published it again in 1743. It is more accurate than the Trapezium Rule because it fits a number of parabolas to the curve rather than straight lines. To use Simpson’s Rule, you must have an even number of intervals (or an odd number of ordinates).
• Example 1 Use Simpson’s Rule with five ordinates to find the approximate value of 3.24 (3 s.f.)
• Example 2 Use Simpson’s Rule with four intervals to find the approximate value of 2.87 (3 s.f.)
• Core 3 & 4 Textbook Exercise 12B Page 188