About this paper

Appears in:
Pages: 6692-6698
Publication year: 2017
ISBN: 978-84-697-6957-7
ISSN: 2340-1095
doi: 10.21125/iceri.2017.1738

Conference name: 10th annual International Conference of Education, Research and Innovation
Dates: 16-18 November, 2017
Location: Seville, Spain

MATHEMATICAL PLAYFUL WITH MAPLE AND MATHLAB IN SOLVING DIFFERENTIAL EQUATIONS TO DETERMINE POLLUTANT EMISSION PROFILES

J.A. Carmona-García1, L.A. Garcia-Serrano2, D. Zavala-Martínez3, P.J. Gutiérrez-Yurrita2

1Moscow State Institute of International Relations, MGIMO University (RUSSIAN FEDERATION)
2Instituto Politécnico Nacional-CIIEMAD (MEXICO)
3Escuela Normal de Tlanepantla (MEXICO)
Mathematics as a knowledge field of the exact sciences, use specialized language, laws, properties, theorems, axioms, methods, and the results of the operations thereof can be expressed in numerical, functional and graphical forms, which are commonly used in the academic field from arithmetic used in elementary education to higher mathematics used in Academic Programs related to engineering.

One branch of mathematics is called Differential Equations, which have a great number of applications in the engineering field, however its learning requires previous knowledge of other mathematics branches, which are not less important, among these are: algebra, trigonometry, analytical geometry, differential and integral calculus.

Mathematics as a scientific knowledge field are structured through its language and methods, this necessary knowledge is not forgotten, but as students skills remain inactive due to a lack of practice, these are rather difficult to activate when a situated engineering problem needs to be solved.

The solving of a situated problem having starting conditions is called modeling and can be very tedious or difficult, and its characterization involves developing cognitive skills in the Mathematics field, and, in an interdisciplinary way, using other fields related to Engineering Sciences.

Learning Differential Equations is linked by using information and communication technologies (ICTs) and learning and knowledge technologies (LKTs), in particular the Maple and Mathlab software, without disregarding the valuable contribution of the learning which allows for constructing concepts in the traditional way and applying both starting points in solving engineering problems such as in the present case, regarding the acquisition of pollution profiles in water, soil and air compartments.

The studied solutions to these differential equations have been focused on the most commonly known pollutants, such as: emerging pollutants, agrochemical contaminants, volcanic ashes and greenhouse effect gases, by reconfiguring the use of information and communication technologies towards a transition to learning and knowledge technologies.
@InProceedings{CARMONAGARCIA2017MAM,
author = {Carmona-Garc{\'{i}}a, J.A. and Garcia-Serrano, L.A. and Zavala-Mart{\'{i}}nez, D. and Guti{\'{e}}rrez-Yurrita, P.J.},
title = {MATHEMATICAL PLAYFUL WITH MAPLE AND MATHLAB IN SOLVING DIFFERENTIAL EQUATIONS TO DETERMINE POLLUTANT EMISSION PROFILES},
series = {10th annual International Conference of Education, Research and Innovation},
booktitle = {ICERI2017 Proceedings},
isbn = {978-84-697-6957-7},
issn = {2340-1095},
doi = {10.21125/iceri.2017.1738},
url = {http://dx.doi.org/10.21125/iceri.2017.1738},
publisher = {IATED},
location = {Seville, Spain},
month = {16-18 November, 2017},
year = {2017},
pages = {6692-6698}}
TY - CONF
AU - J.A. Carmona-García AU - L.A. Garcia-Serrano AU - D. Zavala-Martínez AU - P.J. Gutiérrez-Yurrita
TI - MATHEMATICAL PLAYFUL WITH MAPLE AND MATHLAB IN SOLVING DIFFERENTIAL EQUATIONS TO DETERMINE POLLUTANT EMISSION PROFILES
SN - 978-84-697-6957-7/2340-1095
DO - 10.21125/iceri.2017.1738
PY - 2017
Y1 - 16-18 November, 2017
CI - Seville, Spain
JO - 10th annual International Conference of Education, Research and Innovation
JA - ICERI2017 Proceedings
SP - 6692
EP - 6698
ER -
J.A. Carmona-García, L.A. Garcia-Serrano, D. Zavala-Martínez, P.J. Gutiérrez-Yurrita (2017) MATHEMATICAL PLAYFUL WITH MAPLE AND MATHLAB IN SOLVING DIFFERENTIAL EQUATIONS TO DETERMINE POLLUTANT EMISSION PROFILES, ICERI2017 Proceedings, pp. 6692-6698.
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