This two-volume work compiles the mathematical content necessary for the sustainable and secure application of methods and theories in technical engineering programs. Additionally, guided by numerous exercises, you will learn various useful calculation techniques as well as a variety of methodological approaches, including the use of Matlab software. By engaging with the successful didactic learning principle of "Understanding - Calculating - Applying," you will see that mathematics can not only be mastered in your studies but also contributes to a deeper understanding of technical applications and the development of new ideas. The first volume presents all the essential fundamentals, as often taught in preparatory courses. It is followed by calculus, specifically differential and integral calculus in one variable.