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Unformatted text preview: Math 4500/6500 Exam #1 Fall 2010 This take-home exam covers the material from Chapter 1 through 5 of Cheney/Kincaid, from floating point numbers through numerical integration. You will need Mathematica to complete the exam. Please don’t be afraid to read over the notes and these sections in the book as you work on the problems– there is more in the notes than we were able to cover in the lectures, and some of those extra facts might be helpful to you as you work on the exam problems. You are permitted to use You are not permitted to use Mathematica The internet (except for Mathematica help) Our book Other books Your notes Other people’s notes Your brain Other people’s brains Class notes posted on the website Mathematica code posted on the website We have covered in class various methods for finding a polynomial p n ( x ) of degree n which agrees with a function f ( x ) at n + 1 points x ,...,x n . Another type of polynomial interpolation finds a degree n polynomial P n ( x ) so that n derivatives of P ( x ) agree with the corresponding derivatives of f ( x ) at x , or P ( x ) = f ( x...
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This note was uploaded on 03/12/2012 for the course MATH 4500 taught by Professor Staff during the Spring '08 term at UGA.
- Spring '08