Over the years, the teaching of differential equations in the engineering programs at the University of Antofagasta, Chile, has faced various challenges, particularly regarding the learning of the method of undetermined coefficients. This method, used to find particular solutions in third-order linear differential equations, has been identified as one of the most complex topics for students. The difficulty lies primarily in determining the general solution of these equations, which requires a high level of understanding and advanced mathematical skills.
To address these challenges and improve the learning process,
innovative technological tools such as GeoGebra applets have been developed.
These applications allow students to interact dynamically with the concepts and
procedures of the method of undetermined coefficients, facilitating their
understanding and application. The results obtained after implementing these
tools have been highly positive, showing a significant improvement in students'
learning and motivation. Additionally, this work incorporates the use of
artificial intelligence, specifically through DeepSeek. This AI has proven to
be an effective tool for assisting in the determination of particular
solutions, which not only simplifies the resolution process but also fosters
students' interest and active participation in their tasks and studies. The
integration of these technologies not only strengthens learning but also
modernizes the teaching of differential equations, aligning it with the current
demands of engineering education.
Author
(s) Details
Jorge
Olivares
Department of Mathematics, University of Antofagasta, Antofagasta,
Chile.
Carlos
Portillo
University of Antofagasta, Antofagasta, Chile.
Byron
Droguett
Department of Physics, University of Antofagasta, Antofagasta,
Chile.
Pablo
Martin
Department of Physics, University of Antofagasta, Antofagasta,
Chile.
Please see the book here:- https://doi.org/10.9734/bpi/mcsru/v4/4552
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