s11_mthsc208_ws6b-ComplexFourier

s11_mthsc208_ws6b-ComplexFourier - MthSc 208 (Spring 2011)...

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Unformatted text preview: MthSc 208 (Spring 2011) Worksheet 6b MthSc 208: Differential Equations (Spring 2011) In-class Worksheet 6b: Complex 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 complex Fourier coefficients (i.e., c0 and cn ). Written by M. Macauley 1 MthSc 208 (Spring 2011) Worksheet 6b 2. Write f (x) as a complex Fourier series: f (x) = n=- cn e -inx = c0 + (cn e-inx + c-n einx ). n=1 3. Find the real Fourier coefficients. Recall that an = cn + c-n and bn = i(cn - c-n ). Written by M. Macauley 2 ...
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s11_mthsc208_ws6b-ComplexFourier - MthSc 208 (Spring 2011)...

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