Electrodynamics: Gauge Invariance and Electrostatics

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Covers the solution of Maxwell equations using advanced and retarded Green functions, focusing on electrostatics with general boundary conditions.

Vibrating String: Mathematical Analysis

Covers the study of a vibrating string, wave equations, sinusoidal waves, and eigenvalue problems.

Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions

Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.

Waves in Inhomogeneous Medium

Explores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.

Maxwell Equations: Green Functions for Electrostatic Problems

Explores the use of Green functions for solving electrostatic problems with different boundary conditions, emphasizing the importance of choosing the correct function.

Vibratory Mechanics: Continuous Systems

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Internal Heat Transfer Effects

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Theory of Images and Equivalence Principle

Explores the theory of images, equivalence principle, conductors, duality, and uniqueness in electromagnetism with practical examples.

Boundary Conditions and Basis Decomposition

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Transmission Line Equations: Derivation and Losses

Explores the derivation of transmission line equations and the impact of losses.