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Lecture
Linearization and Dispersion
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Fourier Analysis: Applications and Inversion Formula
Explores Fourier analysis applications and the inversion formula in the context of periodicity and continuous functions.
Two-Fluid Waves
Explores two-fluid waves in plasma physics, discussing dispersion relations and wave propagation characteristics.
MHD Equilibrium Stability
Delves into the stability of Magnetohydrodynamic equilibria in plasmas, analyzing various instabilities and methods for stability analysis.
Fourier Transform: Concepts and Applications
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
Fourier Analysis: Stokes Theorem
Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.
Two-Stream Instability: Kinetic Calculation
Covers the two-stream instability in plasma physics, focusing on kinetic calculations and normal mode analysis.
Harmonic Response: Theory Summary and Manipulation Explanation
Explores harmonic response challenges, pole manipulation, and transfer function approximation in analog systems.
Signals & Systems I: Fourier Analysis
Explores Fourier analysis, including reconstruction formula, Fourier series, and spectrum interpretation.
Electromagnetic Waves in Plasmas
Covers the behavior of electromagnetic waves in non-magnetized plasmas and the simplification of equations for non-collisional plasmas.