Teaching Multiple Integrals With Python Step by Step.

Abstract

Multiple integration is a very important topic in Science, Technology, Engineering and Mathematics (STEM) Education and Applications. In [1] we introduced SMIS (Step-wise Multiple Integration Solver) using the CAS (Computer Algebra System) Derive. SMIS can solve typical multiple integration problems step by step showing all the procedure to reach the nal solution. This way, the use of Derive is potentiated using the CAS as a PeCAS (Pedagogical CAS) for the teaching and learning process of multiple integration in STEM Education and, at the same time, providing a powerful tool for STEM applications. In this talk we introduce SMIS+, an extended version of this step-wise solver for multiple integration but also including new programs to deal with line integration and applications. Another improvement is that SMIS+ is developed in Python using its CAS library SymPy. This way, despite of SMIS which can only be used by those users who have the proprietary software Derive (under Windows Operating System), SMIS+ can be used freely by any user since Python can be used in different platforms. In addition, a website is being developed as a Graphical User Interface (GUI) which will allow the user to easily deal with SMIS+. We will show the progress in the development of this GUI.