Improving the teaching of mathematics to students of science and engineering

To improve the teaching of mathematics to students of scienceand engineering, an holistic approach strongly based on the use of software forsymbolic computation with numerical and graphical capabilities is advocated.Within three semesters the quality and quantity of mathematics understoodand implementable by those students can be signicantly enhanced with thisapproach, which was tested during an accelerated course that covered all per-tinent content within eight weeks.