Foundations of Electromagnetic Theory

Electromagnetic theory is the bedrock of modern physics and engineering, but the complex mathematics often makes it challenging to grasp. This course provides a rigorous, text-based introduction to classical electrodynamics. You will build a solid conceptual and mathematical framework, moving sequentially from static fields to dynamic fields, potentials, and electromagnetic waves, preparing you for advanced theoretical applications. ### What you'll learn * **Master** the essential mathematical tools of vector calculus (gradient, divergence, curl) required for field analysis. * **Analyze** the principles of electrostatics, including Gauss's Law, electric potential, and boundary value problems. * **Apply** the Biot-Savart Law and Ampere's Law to solve problems in magnetostatics and understand magnetic forces. * **Derive** and interpret Maxwell's Equations in both integral and differential forms, connecting static and dynamic phenomena. * **Practice** solving problems related to the propagation, reflection, and refraction of plane electromagnetic waves in various media. The material begins with a review of necessary vector operations and then systematically covers electrostatics, magnetostatics, and the formulation of Maxwell's equations. The final modules focus on the behavior and properties of electromagnetic waves. This course is designed for absolute beginners in physics or engineering who need a comprehensive introduction to electromagnetic theory. No prior knowledge of advanced physics or complex mathematics is required beyond basic calculus. Start building your foundational knowledge of electromagnetism today.