The book provides the reader with an easily understandable and illustrative introduction to non-relativistic quantum mechanics and covers some of its essential applications. The material presented includes all the fundamentals and applications of quantum mechanics that every physics student should master in order to attend advanced lectures. Special emphasis is placed on the practical applicability of quantum mechanical methods for calculating or estimating physical processes. Approximately 60 exercises encourage the reader to test and deepen their mastery of quantum mechanical methods. The book is particularly suitable for exam preparation in quantum mechanics due to its concise and clear presentation. An appendix offers mathematical and physical supplements intended to facilitate the understanding of the book.