Jackson is a very good book but it's too detailed for the beginner. It can be read for special questions on the side.
For sure for a first lecture, which imho is clearly undergraduate (in Germany it's taught in the 2nd year, or 3rd-4th semester), you don't need all the details on electrostatics before you learn the dynamics. Also relativity is not a must, but indeed a good theoretical exposition of the subject is relatistic, because Maxwell's theory is a relativistic theory.
To start with, I'd recommend the Feynman Lectures, which are elementary but give a very concise physical picture of electromagnetic phenomena, including the relativistic aspects, where a relativistic treatment helps to prevent troubles one usually encounters with oldfashioned textbooks (e.g., the Faraday's disk, unipolar machine/generator, Faraday's and Feynman's disk, etc.).
Another very good book, but more at the level of Jackson and not so much in the main stream way to present things is
Julian Schwinger et al, Classical electrodynamics
There you find marvelous mathematical tricks by a master of the subject (Schwinger did research not only in QED for which he is famous but also in the classical theory, mostly on waveguides).
Two of my favorites, which however have the disadvantage of using the pseudo-Euclidean convention for relativity (i.e., setting [itex]x_4=\mathrm{i} c t[/itex] instead of using the indefinite Minkowski metric on a real four-dimensional affine space) are
A. Sommerfeld, Lectures on Theoretical Physics, Vol. 3 (Electrodynamics) and Vol. 4 (Optics)
R. Becker, Electromagnetic Fields and Interactions
The latter book contains also a nice introduction to the necessary vector analysis on [itex]\mathbb{R}^3[/itex].