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3 cards from this section. Quick, good the night before a test.
Define a periodic function.
Think about how periodic functions relate to time.
What is a Fourier series?
Consider the 'Fourier' in context of periodic signals.
What is the primary use of Fourier Series in engineering applications?
Think about the periodic nature of many engineering problems.
True or False: Fourier Series can only represent functions that are continuous and differentiable.
Review the nature of periodic functions.
Given the function f(x) = x^2 on the interval [-L, L], find its Fourier series representation.
Focus on the integrals and observe the symmetry of the function on the interval.
Consider a beam with fixed ends; how would you formulate the Fourier sine series for its vibration mode shape?
Remember boundary conditions drive the selection of the series.
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