"The textbook will be shaped as a guided tutorial to review the theoretical fundamentals while going through the practical examples used for constructing the computational frame enabled eventually to be applied to various real-life models. The main feature to make this book outstanding is that it will be dealing with problems and their solutions usually hidden as being considered "obvious," "too technical," or "problem-dependent." The book starts from the simple calculus examples of fitting data and basics of optimal control methods and ends up by constructing a multi-component framework for running PDE-constrained optimization"--