Intermediate Electromagnetism: Maxwell's Equations and Waves

Electromagnetism is the foundation of modern technology, from wireless communication to optics. Understanding how electric and magnetic fields interact over time is key to unlocking advanced physics and engineering concepts. This text-based course guides you through the transition from basic static fields to dynamic electrodynamics. You will build a deep intuitive and mathematical understanding of how electromagnetic waves behave, travel, and interact with matter. What you'll learn: Understand the foundational principles of electrostatics and magnetostatics in material media; Master Maxwell's equations in both differential and integral forms; Analyze how electromagnetic waves propagate through vacuum and various materials; Explore the generation of radiation from accelerating charges; Learn the basics of relativistic electrodynamics and how electricity and magnetism unify under relativity; Practice solving classic electrodynamic problems using step-by-step mathematical derivations. You will begin with a review of key vector calculus tools and basic field concepts before diving into time-dependent fields, wave equations, and relativistic mechanics. This course is designed for physics students, engineers, and self-directed learners who have a basic grasp of introductory physics and calculus and want to progress to intermediate electrodynamics. Start reading today to master the forces that power our modern world.