Lectures related to Fourier Series: Periodic Functions and Sine/Cosine Interactions

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.

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Covers the concept of trigonometric functions and their applications in geometry.

Covers the Laplace transform, region of convergence, impulse response, and multiple poles.

Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

Covers the integration of functions and Fourier series with examples and exercises.

Explores Fourier series coefficients, periodicity, and series relations.

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.

Covers Fourier series, periodic functions, and Fourier transforms.

Explores Fourier series for periodic functions, emphasizing coefficient calculation and function representation using sine and cosine terms.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.