In the first part of this Lecture, we evaluate the damping of electron excitations near the Fermi surfaceFermiFermi surfaceFermi surface. We consider one-electron problem in metals and introduce the basic ideas of Landau Fermi liquidFermi liquidLandau Fermi liquidLandauLandau Fermi liquid theoryTheoryFermi liquid theory. We derive the spectrum of electronic excitationsExcitationelectronic excitation in metals and establish its interconnection with the microscopic theory. We provide the definition of Bloch waves and obtain the quasiclassical expressions for the operators of electron velocity and accelerationAcceleration. We illustrate the emergence of the electronic bands in metals both in weak-coupling and strong-coupling approximation.