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Lecture
Green Functions and Electrostatics
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Green Functions and Complex Analysis
Covers EM fields of moving charged particles and Green functions.
Residue Theorem: Calculating Integrals on Closed Curves
Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.
Residues Theorem Applications
Explores applications of the residues theorem in various scenarios, with a focus on Laurent series development.
Analytic Continuation: Residue Theorem
Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.
Retarded Potentials and Electromagnetic Energy
Explores retarded potentials, electromagnetic energy, and conservation of energy in electromagnetism.
Complex Analysis: Laurent Series and Residue Theorem
Discusses Laurent series and the residue theorem in complex analysis, focusing on singularities and their applications in evaluating complex integrals.
Residue Theorem: Applications in Complex Analysis
Discusses the residue theorem and its applications in complex analysis, including integral calculations and Laurent series.
Residues and Singularities
Covers the calculation of residues, types of singularities, and applications of the residue theorem in complex analysis.
Multipole Expansion in Electrostatics and Magnetostatics
Covers the concept of multipole expansion in electrostatics and magnetostatics, discussing Maxwell equations and magnetic moments.
Electromagnetic Waves: Wave Equation and Maxwell's Equations
Explores the wave equation for electromagnetic waves, Maxwell's predictions, and the importance of polarization in defining wave properties.