Trying the Impossible

In my experience there are encouraging signs that it is possible to develop successful courses in mathematics for scientists and engineers. These courses do not necessarily solve the unsolvable curricula problems, but they are valuable for the students. There is no need to give up the idea of teaching the understanding of mathematics. The students will experience it as demanding but also as motivating. I have given some suggestions that might be helpful in designing a course of this type. There are, however, many other approaches. I thus wish all lecturers the courage to develop their own visions and the strength to carry them through.