# Math 2231 – Project Ch 4

Math 2231 – Project Ch 4                                     Name: _______________________________

 Project Component Points Earned Part 1 – Rectangle Approximations: Left Endpoints a)      Approximations Chart on Page 1 is filled out accurately 2 1 0 b)      Accurate numerical approximation for n = 3 1 0 c)      Accurate numerical approximation for n = 6 1 0 d)      Accurate numerical approximation for n = 12 2 1 0 e)      Graph with colored rectangles is correctly created using Desmos for n = 3 and n = 12 3 2 1 0 f)       Exact area is correctly calculated using Limit definition 4 3 2 1 0 g)       Comparison of approximations as n increases 1 0 h)      Error is calculated for n = 3, n = 6, and n = 12 1 0 Part 2 – Trapezoidal Rule and Simpson’s Rule a)      Accurate numerical approx. using Trapezoidal Rule for n = 4 2 1 0 b)      Correct graph with trapezoids is constructed 2 1 0 c)      Exact area is correctly calculated using Fundamental Theorem 2 1 0 d)      Accurate numerical approximation using Simpson’s Rule for n = 4 2 1 0 Part 3 – Excel file a)      Accurate left endpoint approximations for all values of n 4 3 2 1 0 b)      Accurate right endpoint approximations for all values of n 4 3 2 1 0 c)      Accurate midpoint approximations for all values of n 3 2 1 0 d)      Accurate approximations for all values of n – Trapezoid Rule 3 2 1 0 e)      Accurate approximations for all values of n – Simpson Rule 2 1 0 Project Organization Work is clear and organized & pages are submitted in the correct order 1 0

TOTAL POINTS AVAILABLE: 40         TOTAL POINTS FOR THIS PROJECT: _______

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