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Graphing by Hand

Here are tips for graphing. First, you need to find x-intercepts and y-intercept, if possible.  For x-intercepts, setting y=0 to find x-values and similarly, setting x=0 to find y-intercept. Then, investigate if there are any asymptotes for fractional functions. For the horizontal asymptotes, we need to take the limit at infinity.  If you get the...

Fourier Series

Before looking at the example, you need to know the formula of Fourier Series as shown. If you know the additional information shown, you could reduce your work.  (1) Odd functions have Fourier Series with only sine terms, which means you only find the coefficients, b’s in the formula.  (2) Even functions have Fourier Series...
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