This course is focused on fundamentals and applications of nonlinear light-matter interactions. The following topics will be considered: physical mechanisms of optical nonlinearity, nonlinear optical susceptibilities, intensity dependent refractive index, nonlinear wave mixing processes, optical self-action effects including self-focusing and optical solitons, optical phase conjugation, stimulated Brillouin and stimulated Raman scattering, supercontinuum generation, light filamentation, and nonlinear optical materials.