This lecture covers the Hartree-Fock method in quantum chemistry, focusing on the variational principle, Hartree-Fock equations, self-consistent solutions, and different types of Hartree-Fock methods. The instructor explains how to find the Hartree-Fock wavefunction by minimizing the energy expression with respect to changes in one-electron orbitals. The lecture also delves into the Roothaan equations, matrix form of the Hartree-Fock equations, and the significance of the method in determining the best Slater determinant wavefunction.