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PGE 310 - HW 6-1

PGE 310 - HW 6-1 - The University of Texas at Austin Fall...

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The University of Texas at Austin Fall 2011 - PGE 310: Formulation and Solution in Geosystems Engineering Homework #6: Infinite Series – Floating Point Representations Due Date: Thursday October 13 th 2011 Do NOT forget to follow the guideline for submitting homework (Attached to the end of this file) Having a basic knowledge of “ Taylor Series , the Mean-Value Theorem , and Alternating Series ” ( Section 1.2 of the text book ) as well as “ Computer Number Representation ” ( Chapter 2 of the text book ) is particularly important for good understanding of numerical analysis. Part 1: Infinite Series (Taylor Series) Make sure to review Section 1.2 , Pages 20 to 31, of the text book, “ Numerical Mathematics and Computing, 6 th Edition ”, before you get started with this part. 1. (By HAND): Do Problem 1.2.13 on Page 32 2. (By HAND): Do Problem 1.2.36 on Page 34 3. (By MATLAB): Do Computer Problem 1.2.3 on Page 36 for partial sums of S1 to S7 . Plot all of them as well as the actual sine function in a single set of x,y axes, between 4 4 to x . Be clear. Show all your work. Do not forget to print the script file and the output plot for Question 3. Part 2: Floating-Point Representation and Errors Make sure to review Section 2.1 , Pages 43 to 54, and Section 2.2 , Pages 61 to 68, of the text book, “

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PGE 310 - HW 6-1 - The University of Texas at Austin Fall...

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