Essential Classical Electrodynamics

Electromagnetism is the foundation of modern physics and engineering, but the transition from introductory concepts to classical field theory requires a deep understanding of vector calculus and mathematical formalism. By mastering the core concepts of electrostatics, magnetostatics, and wave theory, you will gain the theoretical depth required to analyze and solve advanced problems in physics, communications, and electrical engineering. What you'll learn: * Understand the mathematical structure of Electrostatics, including boundary value problems and multipole expansions. * Master Magnetostatics, calculating magnetic fields using the Biot-Savart and Ampère laws, and analyzing fields in magnetic materials. * Apply Maxwell's equations in both differential and integral forms to describe time-varying fields and fundamental conservation laws. * Analyze the propagation, reflection, and refraction of plane electromagnetic waves in various media. * Practice working with electromagnetic potentials and gauge transformations, including the use of Lorentz and Coulomb gauges. * Configure basic models of electromagnetic radiation, focusing on dipole radiation and Liénard–Wiechert potentials. The course begins with a detailed review of field equations for static systems, progresses through the modification of Maxwell's equations in matter, and concludes with a rigorous study of wave propagation and radiation theory. All concepts are explained clearly through written theory and worked examples. This course is designed for physics, mathematics, and engineering students who have completed introductory physics and are ready for a focused, theoretical treatment of classical electrodynamics. No prior advanced knowledge of tensor calculus or relativity is required. Start building your mastery of electromagnetic theory today.