This book covers all the essential areas of mathematics that future students—especially those in the natural and engineering sciences—should be familiar with at the beginning of their undergraduate studies. It focuses on the topics that are central to mathematics exams for the high school diploma and other forms of university entrance qualifications, such as differential and integral calculus, as well as vector calculus. The structure of the book is designed to appropriately emphasize elementary mathematics due to its fundamental role. Numerous tested examples and exercises allow the reader to acquire solid calculation skills.