Green Functions and Electrostatics

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Electromagnetic Waves: Wave Equation and Description

Explores the wave equation for electromagnetic waves, Maxwell's derivation, the electromagnetic spectrum, and plane wave description.

Residue Theorem: Cauchy's Integral Formula and Applications

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Maxwell Equations and Electromagnetic Waves

Explores Maxwell equations, Faraday's law, charge conservation, and electromagnetic waves, including their computation and analysis using Fourier transforms.

Residue Theorem: Applications in Complex Analysis

Discusses the residue theorem and its applications in calculating complex integrals.

Understanding Displacement Vector and Plane Waves

Explores the displacement vector D, plane waves, and magnetic vector potential, addressing student questions and clarifying key concepts.

Complex Analysis: Laurent Series

Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.

Complex Analysis: Laurent Series and Residue Theorem

Discusses Laurent series, residue theorem, and their applications in complex analysis.

Uniform Convergence: Series of Functions

Explores uniform convergence of series of functions and its significance in complex analysis.

Electromagnetic Waves: Equations and Energy Transport

Explores electromagnetic wave equations, energy transport, spectrum, and momentum transfer.