Required Tools in Short

Abstract

In this chapter, we will give an itemized overview of the topics in mathematics and computer science which we will reference repeatedly in subsequent parts of this book. The selection of topics for this chapter is guided by the simple rule that everything occurring multiple times is introduced only once in this central location, whereas tools that are required only for individual application scenarios will be covered in that particular part. Since our book is primarily directed toward students studying computer science, engineering, or natural sciences who are upper division bachelor students, we assume that most topics of this chapter have been studied in their respective introductory courses in mathematics. On the other hand, the experience with courses on modeling and simulation has shown that a certain “warm-up” period in order to better adjust preliminary knowledge can do no harm—especially in view of the wide mix in academic backgrounds oftentimes observed (and intended so) in our audience.