Classical Electromagnetism: From Static Fields to Waves

Electromagnetic theory underpins nearly all modern technology, from radio communication to fiber optics. This course provides a rigorous yet accessible introduction to the unified theory of electric and magnetic fields. By the end of this course, you will be proficient in applying Maxwell's equations in both integral and differential forms. You will understand how static charges create fields, how moving charges create magnetism, and how oscillating fields propagate as light and radio waves, building a solid mathematical and conceptual framework for advanced studies. What you'll learn: * Understand the principles of vector calculus necessary for describing fields, including gradient, divergence, and curl operations. * Apply Gauss's Law and Ampère's Law to solve problems involving electrostatics and magnetostatics in different media. * Derive and interpret Maxwell's equations, demonstrating their role as the foundation of classical electrodynamics. * Analyze the propagation of electromagnetic waves in vacuum and in conducting or dielectric materials. * Practice calculating boundary conditions and energy flow using the Poynting vector for various field configurations. * Explore the connection between classical electromagnetism and the fundamental principles of special relativity. The course begins with a review of essential mathematical tools before moving systematically through electrostatics, magnetostatics, and finally, the time-varying fields unified by Maxwell. Practical examples and exercises reinforce the theoretical framework throughout the modules. This course is designed for absolute beginners in electromagnetism, including students in physics, electrical engineering, and related technical fields. No prior knowledge of advanced physics is required, only basic calculus proficiency. Start your journey into the fascinating world of electromagnetic theory today.