Welcome to our course and thank you for joining!

As explained in the previous video, we start with an optional mathematical tutorial on complex numbers and three-dimensional calculus. If you know about these topics, you are good to go and you can skip this section and go directly to the section on the early theories of electrodynamics!

Below you find the structure of our course:

After a brief discussion about the early theories of electromagnetism, I will motivate and discuss the 4 Maxwell equations in their differential and integral form. For the rest of this course we will solve these equations for different scenarios.

We begin with the special case of vacuum where charges and currents are absent: Here, the excitations are electromagnetic waves or, in other words, light. We derive the electric and magnetic fields and discuss the possible polarizations of light.
Thereafter, we leave vacuum but consider time-independent problems. This field of theoretical physics is called electrostatics and magnetostatics. We solve interesting problems, like calculating the electric field of a charged sphere, the voltage difference in a capacitor, the magnetic field around a wire or the far-field of a dipole.

Finally, we consider the most general case: time-dependent problems. As we will see, we can rely on our previous results from the static case with a few modifications. Also, I will show you how all of our results only slightly change, when we consider the electrodynamics in matter, like in a piece of metal.