Vector review for electromagnetics

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For junior electrical engineering students preparing for an engineering electromagnetics course, a solid understanding of specific math topics is crucial. Key areas to focus on include basic vector math, particularly vector addition and multiplication, as well as partial derivatives, specifically curl and gradient. Proficiency in multivariable calculus is essential, especially in integrating for area and volume, and understanding Gauss's theorem for divergence. Familiarity with different coordinate systems, such as polar and spherical coordinates, is also important. While partial differential equations (PDEs) may not be heavily emphasized in undergraduate studies, knowledge of solving Laplace's equation can be beneficial. Applying these mathematical concepts to electromagnetics will enhance comprehension and retention, making the learning experience more meaningful.
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I am a junior EE scheduled to take engineering electromagnetics in the Fall and want to know what math topics are the most useful to review. I know E&M involves quite a bit of vector analysis but I'm not sure how deep into it I should look. For anyone who has taken a similar course, can you recommend specific topics that you think are the most worthwhile to know.
 
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Basic vector math (adding, multiplying vectors)
Partial derivatives (Curl and gradient)
Multivariable calculus (integrating for area and volume, Gauss's theorm for divergence)

Doing all of the above in different coordinate systems (polar, spherical)

In undergraduate you probably won't get into the PDEs, but if you do knowing how to solve Laplace's equation.

Some of these things will make a lot more sense when you see them applied to EM than just reading about them from a purely mathematical standpoint (at least they did for me).
 

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