Welcome back.
So now you know about the state of the art knowledge and the early theories of electrodynamics, so
you have seen that there are some concepts that already made sense even before the Maxwell's equations
were formulated.
For example, there was quite a good knowledge about charges and there was quite a good knowledge about
magnets.
And we had already understood some concepts like the Cullum's law.
However, we had also seen that, for example, the impasse law is not really correct, that there is
a term missing because it violates the continuity equation.
So now we will come to one of the most important sections of this whole course.
I would say it's the most important section because here I will straight up introduce to you the Maxwell's
equations.
So in the first lecture, I will just give you these equations, I will just write them down, as Maxwell
did, and the truth is, it's not really possible to derive these equations.
However, I will follow up with a lecture about a motivation for these equations.
So we will use symmetry arguments and we will at least make it reasonable that the Maxwell equations
look like they look.
So once we have these maximal equations, we will, of course, discuss them and I will also derive
the integral version of the Maxwell equations.
And then later in this course, you will see that the Maxwell equations are really the basis of all
of electrodynamics, and you can use them to derive basically every phenomenon with within electrodynamics.
However, we need also a fifth law, which is the Lawrence force, so we will also discuss to Lawrence
Force in this lecture.
So I hope you're still motivated.
Let's go ahead and start the discussion of the Maxwell equation.