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These notes are meant to accompany the course Electromagnetic Theory for the Spring 2010 term at RPI. This material is covered thoroughly in Chapters One and Seven in our textbook Classical Electrodynamics, 2nd Ed. by Hans Ohanian, and also in the auxiliary textbook Principles of Electrodynamics by Melvin Schwartz. I am attempting here to present a condensed version of this material, along with several worked examples. Before specializing the discussion to special relativity, we go over two introductory topics.