The objective of the school is to provide graduate students and young researchers with introductory courses and specialized lectures on partial differential equations (PDE), calculus of variations, and their applications. The courses will concern the contemporary methods as well as recent advances and tools in PDE theory and calculus of variations with various applications in transport theory, shape optimization, kinetic theory, geometric analysis, control theory and engineering. The total duration of the school scientific activities is fifty seven (57) hours.