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Related lectures (32)

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Laplace Transform: Basics

Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.

Fourier Transform: Diffusion Equation

Explores the derivation of the diffusion equation using Fourier transforms and discusses the significance of Dirac delta functions in mathematical analysis.

Dirac Delta Function

Introduces the Dirac delta function and discusses its properties and applications in signal processing and physics.

Laplace Transform: Basics

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

Covariant Derivatives and Christoffel Symbols

Covers accelerated and inertial coordinate systems, Jacobian, volume elements, covariant derivatives, Christoffel symbols, Lorentz case, and metric tensor properties.

Signals & Systems I: Distributions and Linear Systems

Covers distributions, linear systems, impulse response, convolution, and examples of linear systems.

Continuous Variable Representation

Covers the time evolution for non-time invariant systems and continuous and discrete degrees of freedom.

Nonlinear Coupling in a Beam

Explores nonlinear coupling in a beam, covering device fabrication, actuation, detection, noise separation, and signal-to-noise ratio.

Laplace Transform: Basics and Properties

Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.

Distributions and Laplace Transform: Key Concepts

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.