2140 - Notes, Syllabus Section V, lecture 30 (11/8/95)

(Here is the previous lecture )
Review of Dirichlet, discussion of some functions that satisfy the conditions but blow up. Also, discussion of how Dirichlet tells you what the series converges to at jumps (to the midpoint of the jump)

Complex exponential Fourier series. Derivation starting from Fourier sin-cosine series. Then, derivation from scratch.

Formula for finding coefficients of Fourier complex exponential series directly. Example. Checked that example agreed with what we had last time when we did it as a sine-cosine series.

Extension to other intervals besides -Pi to Pi

Beginning of discussion of extension to other periodicities besides 2 Pi.

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