Lectures related to Laplace Transform of Typical Signals

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

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

Covers orders of magnitude in physics and polynomial approximation for simplifying complex functions.

Explores algebraic operations on Taylor expansions and the development of various functions.

Covers complex numbers, sequences, series, and exponential, sine, and cosine functions in the complex plane.

Explores examples of divergence in vector fields and their physical meanings.

Covers the calculation of the Fourier transform of a digital rectangular window.

Explores the rotation of vectors in a plane using trigonometric functions.

Covers the definitions and properties of arcsin and arccos functions.

Explores symmetry in XCOSV-y-Sind and staggered ethane molecules.

Explores entire functions, derivatives, error terms, and cautionary counterexamples.

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

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

Covers the concept of Fourier series and their practical applications in signal processing.

Delves into Taylor polynomials, showcasing how higher orders improve function approximations and how they can be used to calculate limits.

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

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

Demonstrates the non-existence of a limit using sine functions and specific sequences.

Demonstrates how to find the exact value of trigonometric functions for specific angles.

Analyzes the image sets of composite functions on [1, +∞], deducing the final image set as [√2/2, 1) closed left, open right.