Specialized Software for Teaching Differential Equations

Hebert Castillo - Paredes
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Abstract

In the third semester Multivariable Calculus course, Systems and Computer Engineering major at the Universidad Nacional Alcides Carrión; in the teaching of differential equations, a specialized software (Matlab R2019b) was used with the purpose of strengthening learning; A survey was applied to 25 students both at the beginning and at the end of the class, using a questionnaire with 10 questions, sized on the reliability of the software, algorithms for the development of integrals, visualization, simulation, mathematical concepts and understanding of physical phenomena, mathematical modeling techniques, mastery of information technologies, and manipulation of real-world objects. The main result achieved was the knowledge of the solution of ordinary differential equations, where before the development of the class, 80% of students believed they did not know the subject; however, using the specialized software, it decreased to 72%. Likewise, in the scale of knowing completely, it went from 16% to 28%. After applying the Kruskal-Wallis statistical test with a reliability of 95%, it was concluded that there was an increase in learning, given that the p-value was 0.041, less than 0.05.
微分方程教学专用软件
国立大学系统与计算机工程专业第三学期多变量微积分课程Carrión;在微分方程教学中,采用Matlab R2019b专用软件进行强化学习;在课程开始和结束时,对25名学生进行了一项调查,使用了一份包含10个问题的问卷,对软件的可靠性、积分开发算法、可视化、模拟、数学概念和对物理现象的理解、数学建模技术、信息技术的掌握以及对现实世界对象的操作进行了评估。课程取得的主要成果是掌握了常微分方程的解,而在课程发展之前,80%的学生认为他们不了解这门学科;然而,使用专门的软件,它下降到72%。同样,在“完全了解”的比例中,这一比例从16%上升到了28%。采用信度为95%的Kruskal-Wallis统计检验,考虑到p值为0.041,小于0.05,可以得出学习有增加的结论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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