Foundations of Electromagnetic Fields and Waves

Electromagnetic Theory (EMT) is the essential foundation for electrical engineering, physics, and modern communication systems, but it often relies on complex vector mathematics. This course breaks down the challenging concepts of vector calculus and applies them directly to electrostatics and magnetostatics, allowing you to build a robust understanding of how electric and magnetic fields interact and propagate as waves. This course will equip you with a rigorous, foundational knowledge of classical electromagnetism. What you'll learn: * Understand the fundamental mathematical tools of vector calculus, including the gradient, divergence, and curl operators. * Apply key integral theorems, such as Gauss's theorem and Stokes' theorem, to field analysis in various coordinate systems. * Analyze static electric fields and charge distributions using Coulomb's Law, Gauss's Law, and the concept of electric potential. * Master the principles of magnetostatics, including the Biot-Savart Law and Ampère's Circuital Law, to calculate magnetic fields. * Formulate and interpret Maxwell's equations in both differential and integral forms, understanding their physical significance for time-varying fields. * Practice solving foundational problems involving boundaries between different media and energy storage in fields. The course begins with a thorough introduction to the necessary vector operators and coordinate systems before moving sequentially through electrostatics, magnetostatics, and finally, time-varying fields and wave propagation concepts. Written explanations and practice problems reinforce every theoretical concept. This course is designed for absolute beginners in electrical engineering, physics, or anyone needing a rigorous, text-based introduction to Electromagnetic Theory. No prior knowledge of advanced calculus or electromagnetism is required. Start building your fundamental understanding of the forces that govern all electronic technology today.