Math 231 assignment

Project Component

Points Earned

Part 1 – Rectangle Approximations: Left Endpoints

a) Approximations Chart on Page 1 is filled out accurately

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b) Accurate numerical approximation for n = 3

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c) Accurate numerical approximation for n = 6

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d) Accurate numerical approximation for n = 12

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e) Graph with colored rectangles is correctly created using Desmos for n = 3 and n = 12

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f) Exact area is correctly calculated using Limit definition

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g) Comparison of approximations as n increases

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h) Error is calculated for n = 3, n = 6, and n = 12

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Part 2 – Trapezoidal Rule and Simpson’s Rule

a) Accurate numerical approx. using Trapezoidal Rule for n = 4

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b) Correct graph with trapezoids is constructed

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c) Exact area is correctly calculated using Fundamental Theorem

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d) Accurate numerical approximation using Simpson’s Rule for n = 4

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Part 3 - Excel file

a) Accurate left endpoint approximations for all values of n

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b) Accurate right endpoint approximations for all values of n

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c) Accurate midpoint approximations for all values of n

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d) Accurate approximations for all values of n – Trapezoid Rule

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e) Accurate approximations for all values of n – Simpson Rule

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Project Organization

Work is clear and organized & pages are submitted in the correct order

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