It has been four years now, that our course book, the title of which is “Mathematical tools in engineering applications, Volume I” was published. Since then it has been an essential study aid for the subject Mathematics I. The book follows a new “engineer friendly” approach as it uses problems typically occurring in the fields of engineering and economics for the demonstration of the use of mathematical concepts and tools. Our teaching experiences and also the results of students’ opinion polls proved that we are on the right track,thus we decided to write the second volume of the book for Mathematics II. By know the majority of the applications in Volume II are ready and we present the more important ones here.