Department of Mathematics

Math 300: Mathematical Computing

ICE: Matlab For

Given some positive number \(K\), write Matlab code to plot \[ \sum_{k=0}^K \frac1{2^k} \cos{k\pi x} \] on the interval \([-1,1]\). Note that this will mean first choosing some number \(N\) and making a vector \(x=(x_0,x_1,\dots,x_N)\) where \(x_0=-1, x_1=-1+1/N, x_2=-1+2/N,\dots,x_N=1\), and then evaluating the cosine functions over that vector and adding all those terms together.

A solution for the final is available.

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