So we have just learned about derivatives, so of course, the next step will be integrals.
And you probably know that an integral basically serves to calculating the area under a curve, at least
in one dimension.
This is the case.
And to do this, there exist different integration methods.
So just like for the derivatives, we can apply different methods to achieve higher accuracy.
So I think you already have a good feeling about this from the previous section about derivatives.
So after we are done with this numerical part or with the theoretical part, the background, we will
then turn to physical examples.
So we will calculate the rotational energy and the moment of inertia of different objects.
So we will explore, for example, why a stick rotates at a different and velocity compared to a sphere,
even though both of them have the same energy.
But then we will discuss a different physical problem, and here we will even combine the concept of
derivatives and integrals.
So we will calculate the magnetic field of a charged wire.
So you probably know this example from school already, but actually, to calculate it, you really
need these concepts that are quite advanced.
So it's not at all easy to calculate this magnetic field.
And after we are done with this, I will just introduce to you another concept that is based on integration,
and this is called the full year transport.
So whenever you have a periodic signal, for example sound, then you can calculate the full you transform
to determine the characteristic frequencies of this sound or of this periodic signal.
And this will be a concept that is based on integrals, and we will apply it later on in the course
to a very difficult example where we will then calculate really the eigen frequencies of several coupled
harmonic oscillators.