Fourier Series: Periodic Functions and Sine/Cosine Interactions

Related lectures (30)

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Covers Fourier series for periodic functions and calculations involving Fourier coefficients.

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Explores Fourier coefficients in trigonometric series, emphasizing even and odd functions.

Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.

Explores trigonometric addition theorem, double angles, and tangent properties.

Explores odd and even functions in Fourier series applications, including half-range series and cosine/sine series.

Covers the definition of sine and cosine functions, their graphs, and notable points.

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.

Explains surjectivity, injectivity, and bijectivity in functions, including trigonometric examples.