This text advances from the basic laws of electricity and magnetism to classical electromagnetism in a quantum world. Suitable for first-year graduate students in physics who have taken an undergraduate course in electromagnetism, it focuses on core concepts and related aspects of math and physics. Progressing from the basic laws of electricity and magnetism and their unification by Maxwell and Einstein, the treatment culminates in a survey of the role of classical electromagnetism in a quantum world. Each stage of the theory is carefully developed in a clear and systematic approach that integrates mathematics and physics so that readers are introduced to the theory and learn the mathematical skills in context of real physics applications.