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3 cards from this section. Quick, good the night before a test.
What is a Fourier series?
Think about periodic functions and their representation.
What conditions must a function satisfy to be expressed as a Fourier series?
Recall the term 'Dirichlet conditions'.
What is a Fourier Series?
Focus on the trigonometric aspect of the series.
Fourier Series can only be applied to non-periodic functions. True or False?
Think about the conditions that define a Fourier series.
Find the Fourier series representation for the function f(x) = x on the interval [-π, π].
Take care with the integration limits and ensure to include symmetry considerations.
Given a periodic function with known values, derive its Fourier coefficients and reconstruct the first three terms of its series.
Make sure to draw from past homework example problems for guidance.
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