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Unformatted text preview: MthSc 208 (Spring 2011) Worksheet 6a MthSc 208: Differential Equations (Spring 2011) In-class Worksheet 6a: Fourier Series
NAME: Consider the square wave defined by f (x) = 1, -1, 0x< and extended to be 2-periodic. - x < 0 1. Sketch f (x) and find its Fourier coefficients (i.e., a0 , an , and bn ). Written by M. Macauley 1 MthSc 208 (Spring 2011) Worksheet 6a a0 2. Write f (x) as a Fourier series: f (x) = + 2 an cos nx + bn sin nx.
n=1 3. Explicitly write out the first few terms (n = 0, 1, . . . , 7) of the Fourier series of f (x). Written by M. Macauley 2 ...
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