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HW1 assignment - HW#1 Note i ii iii EGM6341 Spring 2009 iv...

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HW#1 EGM6341 Spring 2009 Note: i) This set of HW comes from diverse aspects in calculus and math analyses. ii) It is intended to serve as a review and to bring you up to speed in mathematical analysis. Series expansion in various forms and acceleration of series are extremely useful tools both analytically and computationally. iii) I suggest that you first read over a dozen examples that I provide in the Supplemental Reading Material (Chapter One) –they serve to bridge the gap between your previous calculus background and the class discussions/ homework problems. iv) If you still have difficulty to solve some problems in HW#1 after reading and understanding the examples in Supplemental Reading Material , let me know via phone call (if you are an EDGE student), visit to my office, or emails. Due: 1/15/08 (tentative schedule) Assignments : From the textbook by Atkinson: pp.43-50: #1a Assume ƒ(x) is continuous on a ≤ x ≤ b, and consider the average = = n j j x f n S 1 ) ( 1 with all points x j in the interval [a, b]. Show that ) ( ζ f S = for some ζ in [a, b].
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