HW 8

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1) The Fourier series of a Sin function should be trivial, right? Execute the following Mathematica code. Explain the result.

FourierTrigSeries[Sin[x], x, 4]

Remember to load the appropriate library before you try this.

2) Look at problem 5.2 in Chapter 7 of Boas. Verify the first nonzero Sin and Cosine terms by doing the integrals by hand. Then show me the precise call to FourierTrigSerries that will reproduce the 8 terms shown in the answer.

3-4) Chapter 7, section 10 of Boas: Problems 4 and 9.

5) Prove Equation 11.5 on page 375.

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