Computer algebra systems like Maple are now part of everyday life for anyone applying mathematics in schools, business, and universities. At the same time, they offer the opportunity to explore and illustrate examples in ways that are not possible with pencil and paper. In addition to an introduction to Maple, this book aims to deepen and illustrate the material of the first year of study, as covered in lectures on analysis and linear algebra, through the treatment of examples. It consists of tasks with explanations, allowing the reader to work through the material independently.