1.1 MuPAD: An Overview MuPAD is a computer algebra system which, up to now, has been developed mainly at the University of Paderborn. Our aim was to design a program that can handle mathematical problems and computations of a new order of magnitude. Therefore, MuPAD was designed as a parallel system. However, MuPAD also runs on sequential computers, from small size machines to more powerful workstations. Right from the start we were fascinated by the implications computer algebra systems can have on the way how mathematical formulae and techniques will be used in future applications of mathematics in science and engineering. We believe that the impact of modern technology is most beneficial for the scien­ tific development if systems are created which facilitate the inclusion of the knowledge of the mathematical community. Therefore MuPAD was designed as a service to the community in the hope that the mathematical community reciprocates some of its knowledge and expertise to the system. As a conse­ quence MuPAD is available to non-profit educational and scientific institutions free of charge.

1 Introduction.- 2 The Language and its Functionality.- 3 Debugging.- 4 Graphics.- 5 User Interfaces.- 6 Survey about the MuPAD functions.- A Tables.- B PARI.- C Netpbm.- D MuPAD-Syntax in BNF.- E Generating Commands of the Color Plots.- F Changes between MuPAD 1.2.1 and 1.2.2.- G New Functionality in MuPAD 1.2.2.