Complex engineering solutions of the technological processes of metal-forming are based on the theory of plasticity and theory of metal-forming with systems of computer support. The content of the course starts from selected chapters of the physical essence of plastic strain, formability of metals and alloys, fundamentals of mathematical theory of plasticity, and experimental/analytical methods for the theoretical solution of metal-forming processes. The course provides the basic knowledge of and skills in mathematically describing metal-forming processes while applying the physical, chemical, mechanical and thermodynamic principles of the transition of metallic bodies from elastic into plastic state in the course of their plastic deformation into the required shape. The course also addresses the problem of determining the loading of metal-forming tools and machines, carries out analyses of deformation, establishes critical strain values and offers an introduction to computer-aided modelling of metal-forming processes.