This lecture by the instructor covers the basics of superconductors, focusing on vortices and pinning systems. The critical current density is highlighted as a key property for magnet applications, influenced by factors like vortex pinning and defect structures. The talk delves into measuring Jc, the impact of vortices on superconductors, and the importance of strong pinning systems like Nb47Ti and REBCO. Various concepts such as vortex regimes, vortex-vortex interactions, and the energetics of vortices are discussed. The lecture also explores the microstructural refinement of Nb-Ti conductors and the optimization of critical current density through wire drawing and heat treatment.