School mathematics and university mathematics - two separate worlds? This book addresses this question with a new concept: it offers interface tasks that establish diverse connections between school and university mathematics in the central areas of analysis, making them useful for learning mathematics. Interface tasks draw on ideas from school mathematics and utilize them to better understand concepts and constructs of university mathematics. Conversely, they demonstrate that the tools of university mathematics provide opportunities to delve deeper into school mathematics and explain it even in areas where plausibility considerations are sufficient in school. Detailed commented solution proposals support the learning process.