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%                       Computational Physics
%                             FALL 2008
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%                     Instructor: Kevin H. Knuth
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%
% HW 2
% Summing a Series
%
% The purpose of this homework set is to introduce you to writing
% efficient Matlab functions that are designed to be conscious of both 
% numerical errors and speed.
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%
% TURN IN:
% m-files titled mySINE.m
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% Problem by: Kevin H. Knuth
% Created on: 09 January 2008
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% Write a function mySINE that computes the sine of an angle in radians
% with an accuracy of 1e-15
% This routine should rely on summing a Taylor series expansion of sine.
%
% In a separate report, compare the accuracy of your routine for the
% values: 0, pi/4, pi/2, pi, and 2 pi.
% In addition, explain the strategy used in the summation, and how many
% terms you used.
%
% Be sure to consider the range over which the Taylor series is reasonable.
%
%
% Usage: y = mySINE(x)
% Inputs: x - angle in radians
% Outputs: y - sin(x)
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