This exercise book is primarily intended to prepare students for studies at universities of applied sciences. The high school graduation or the specialized university entrance qualification is required for admission to a university degree program. In addition, there is also the possibility to study with a higher professional qualification, such as the master craftsman or as a graduate of a two-year recognized technical school. Especially here, however, deficits in mathematics and the fundamentals of natural sciences often become apparent so that students cannot successfully begin their studies to become industrial, civil, mechanical or even electrical engineers. The same applies if the date of the university entrance qualification already lies somewhat in the past. In order to ensure that the necessary tools, such as mathematics or the fundamentals of science, are available at the start of studies, Dr.-Ing. Jürgen Schlüsing and Diploma Physicist Hans-Jürgen Hellberg have decided to compile a first small exercise book series. The first exercise book series consists of four exercise booklets each in mathematics and three scientific basics. Exercise books Mathematics: Fundamentals, Differential Calculus, Integral Calculus, Linear Algebra, Differential Equations, Complex Numbers Exercise books in Natural Science Fundamentals: Oscillations, Waves, Optics