RT Journal Article
T1 SMIS: A Stepwise Multiple Integration Solver Using a CAS.
A1 Galán-García, José Luis
A1 Rodríguez-Cielos, Pedro
A1 Padilla-Domínguez, Yolanda Carmen
A1 Galán-García, María Ángeles
A1 Atencia-McKillop, Iván
A1 Rodríguez-Padilla, Pablo
A1 Aguilera-Venegas, Gabriel
K1 Programación (Matemáticas)
K1 Cálculo integral
K1 Algebra
AB Multiple Integration is a very important topic in different applications in Engineering and other Sciences. Using numerical software to get an approximation to the solution is a normal procedure. Another approach is working in an algebraic form to obtain an exact solution or to get general solutions depending on different parameters. Computer Algebra Systems (CAS) are needed for this last approach. In this paper, we introduce SMIS, a new stepwise solver for multiple integration developed in a CAS. The two main objectives of SMIS are: (1) to increase the capabilities of CAS to help the user to deal with this topic and (2) to be used in Math Education providing an important tool for helping with the teaching and learning process of this topic. SMIS can provide just the final solution or an optional stepwise solution (even including some theoretical comments). The optional stepwise solutions provided by SMIS are of great help for (2). Although SMIS has been developed in the specific CAS Derive, since the code is provided, it can be easily migrated to any CAS which deals with integrals and text management that allow us to display comments for intermediate steps.
PB MDPI
YR 2021
FD 2021-11-11
LK https://hdl.handle.net/10630/29521
UL https://hdl.handle.net/10630/29521
LA eng
NO Galán-García, J.L.; Rodríguez-Cielos, P.; Padilla-Domínguez, Y.; Galán-García, M.Á.; Atencia, I.; Rodríguez-Padilla, P.; Aguilera-Venegas, G. SMIS: A Stepwise Multiple Integration Solver Using a CAS. Mathematics 2021, 9, 2866
NO 10% Partial funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026