With approximately one hundred and fifty solved problems, review questions at the beginning of each chapter, and multiple-choice tests for the reader's periodic self-assessment, the book has been designed to provide effective assistance to the Physics or Engineering student who is taking the first basic course in Quantum Mechanics and is facing for the first time the conceptual and mathematical peculiarities of this fundamental physical theory. The two "sample final exams" at the end of the book will also help the reader to perform a final check of the level of understanding achieved up to that point, and to adjust accordingly the "last round" of their study. The chapters of the book cover the material of a typical semester-long course in Quantum Mechanics that starts from the old quantum theory and reaches up to spin and the generalized Pauli principle.