To prepare for a graduate class in electrodynamics, it's essential to review key mathematical concepts such as partial differential equations (PDEs), Green's functions, the method of images, and vector integral theorems. Familiarity with complex variables can also significantly streamline homework solutions, even if not directly referenced in the course material. Recommended resources include Griffiths for vector calculus, Boas for PDEs, and Byron and Fuller for Green's functions. Additionally, "Div, Grad, Curl and All That" by H. M. Schey is suggested for a thorough understanding of vector calculus. Engaging with these materials will provide a solid foundation for tackling the challenges of electrodynamics.