Vibratory Mechanics: QCMs Week 12

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Related lectures (31)

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Vibratory mechanics: course overview

Provides an overview of Vibratory Mechanics course plan and interactive session instructions.

Fourier transforms: Light-matter interaction

Explores Fourier and Laplace transforms in materials science, focusing on light-matter interaction, diffraction patterns, and crystal properties.

Fourier Series and Laplace Transform

Covers Fourier series calculations and Laplace transform applications for periodic functions efficiently using tables and properties.

Poisson Problem: Fourier Transform Approach

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Fourier Analysis: Inversion Formula

Explores the Fourier inversion formula and the importance of the integral on the half-circle being zero for the method to work.

Wave Propagation: General Solutions

Explores the general solutions for wave propagation and Fourier transforms in periodic functions.

Signal Representation: Fourier Transforms

Covers the representation of signals using Fourier transforms and the properties of signal vectors.

Discrete-Time Fourier Transform

Explores the discrete-time Fourier transform, its properties, and signal transformations, including examples like the rectangular pulse and unit impulse.

Fourier Transform: Derivatives and Formulas

Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.

Introduction to the z-Transform

Covers the z-Transform, LTI systems, and signal processing applications.