Those who want to reach for the stars should at least have a footstool - this is an old folk wisdom. All beginners in an engineering bachelor's program are reaching for the stars. They have chosen an extraordinarily demanding course of study: in just a few years, they will go from zero to becoming creative, knowledgeable, and confident engineers. A modern engineering bachelor's degree can only be successfully completed if there is sufficient foundational knowledge in mathematics. This must be combined with the essential ability to creatively apply this knowledge in various technical applications. This book is aimed at the first-semester generations of the 21st century, guiding them through the world of mathematics. It deepens the fundamental mathematical and practical skills and focuses on the mathematical foundational knowledge required by today's engineers.