Introduction to Electromagnetic Fields and Waves

Electromagnetic theory is the bedrock of modern communication, electronics, and optics, explaining everything from light to radio waves. This course provides a rigorous, text-based introduction to the classical theory of electric and magnetic fields. By the end, you will have a solid grasp of Maxwell's equations and the mathematical principles governing field interactions and wave propagation. What you'll learn: * Understand the foundational mathematical framework, including vector calculus and coordinate systems, essential for field analysis. * Master the principles of electrostatics and magnetostatics, applying Gauss’s Law and Ampère’s Law to calculate static fields. * Analyze time-varying fields, displacement current, and derive the complete set of Maxwell’s equations in various forms. * Apply boundary conditions and material properties (conductors, dielectrics) to solve real-world electromagnetic problems. * Practice solving the wave equation to describe plane wave propagation in free space, lossy, and lossless media. * Learn how the Poynting vector defines energy flow and power transmission, relevant to modern applications like fiber optics and wave guides. The course begins by establishing the necessary vector calculus tools before diving into static electric and magnetic fields. It then builds up logically to the unified theory of time-varying fields and concludes with the analysis of electromagnetic wave propagation. This course is designed for absolute beginners in electromagnetism, requiring only basic algebra and introductory calculus knowledge. Start reading today and build a crucial foundation for advanced physics and electrical engineering.