Using a free open source software to teach mathematics

Botana, Francisco; Abánades, Miguel A.; Escribano, Jesús

doi:10.1002/cae.21565

Cited by 11 publications

(9 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We focus our attention on the use of specific mathematical software, a CAS, to solve different problems [23,24]. One of the main utilities of the computer, in relation to the mathematical work, has been numerical calculation.…”

Section: Methodsmentioning

confidence: 99%

CAS and real life problems to learn basic concepts in Linear Algebra course

Caridade

Encinas

Martín-Vaquero

et al. 2015

Comp Applic In Engineering

View full text Add to dashboard Cite

In this paper we examine the effect of the use of a Computer Algebra System (CAS) to solve interdisciplinary problems. We have been working for some years in the application of mathematics to different engineering problems, the main reason was to improve the motivation of our students and to make possible for them to connect and apply what they learn in Linear Algebra class to other engineering subjects. We describe a case study with students of Electromechanical and Mechanical Engineering from the Coimbra Institute of Engineering and from Geological and Industrial Engineering students from the University of Salamanca in a Linear Algebra course. The study involves the application of digital image processing to develop the basic skills of Linear Algebra. Furthermore, we include the results of a pre-test and post-test control group study using that application in the classroom. The results indicate that the experiences were very enriching for the students in different subjects. We tested at different centers from two different countries with similar results. ß 2015 Wiley Periodicals, Inc. Comput Appl Eng Educ 23:567-577, 2015; View this article online at wileyonlinelibrary.com/journal/cae;

show abstract

Section: Methodsmentioning

confidence: 99%

CAS and real life problems to learn basic concepts in Linear Algebra course

Caridade

Encinas

Martín-Vaquero

et al. 2015

Comp Applic In Engineering

View full text Add to dashboard Cite

show abstract

“…Other contributions study the use of different software for teaching mathematics. Among them, we highlight the following: [12][13][14][15][16][17][18][19][20]. In comparison to those articles, this contribution focuses on a specific set of open source engines and provides examples used in actual engineering classes.…”

Section: Related Workmentioning

confidence: 99%

Using Free Mathematical Software in Engineering Classes

Martínez

Encinas

Muñoz

et al. 2021

Axioms

View full text Add to dashboard Cite

There are many computational applications and engines used in mathematics, with some of the best-known arguably being Maple, Mathematica, MATLAB, and Mathcad. However, although they are very complete and powerful, they demand the use of commercial licences, which can be a problem for some education institutions or in cases where students desire to use the software on an unlimited number of devices or to access it from several of them simultaneously. In this contribution, we show how GeoGebra, WolframAlpha, Python, and SageMath can be applied to the teaching of different mathematical courses in engineering studies, as they are some of the most interesting representatives of free (and mostly open source) mathematical software. As the best way to show a topic in mathematics is by providing examples, this article explains how to make calculations for some of the main topics associated with Calculus, Algebra, and Coding theories. In addition to this, we provide some results associated with the usage of Mathematica in different graded activities. Moreover, the comparison between the results from students that use Mathematica and students that participate in a “traditional” course, solving problems and attending to master classes, is shown.

show abstract

“…Botana et al, 2014, Noinang et al, 2008, and Adair and Jaeger, 2014 are the latest researchers who have conducted lab sessions to teach Engineering Mathematics. Better understanding on the conceptual and procedural knowledge, software tools help in visualization and saving a lot of time from computation are the general comments received from the students.…”

Section: Fig 2: Person Item Distribution Map For Linear Algebra Pretestmentioning

confidence: 99%

Filtering the course outcomes for engineering mathematics lab via Rasch model

Lohgheswary

2018

Int. j. adv. appl. sci.

View full text Add to dashboard Cite

The aim of this study is to use Rasch model as a method to filter the suitable course outcomes for Engineering Mathematics lab. A pre-test was conducted for each of the Vector Calculus, Linear Algebra and Differential Equation subjects. The analysis of each subject was run against the Rasch model. The person item distribution map managed to divide the course outcomes into different categories. The categories are very difficult, difficult, moderate and easy. From a total of 16-course outcomes from 3 subjects, only 8-course outcomes were filtered and chosen for the suggested Engineering Mathematics lab session. Partial derivatives, line integrals, Greens' theorem, vector space, power series, first and second order of differential equations, second order non-homogeneous differential equations and Fourier series are identified as the course outcomes for the lab sessions. A two-hour lab session is suggested for each of the course outcomes. Conducting lab sessions for Engineering Mathematics subjects parallel with traditional lectures will help the students widen their knowledge in Engineering Mathematics and to perform better in the subjects.

show abstract

Using a free open source software to teach mathematics

Abstract: ABSTRACT:We present the experience of the authors teaching mathematics to freshmen engineering students with the help of the open source computer algebra system Sage. We describe some teaching resources and present an ad hoc distribution of Sage used by the authors.

Cited by 11 publications

References 18 publications

CAS and real life problems to learn basic concepts in Linear Algebra course

CAS and real life problems to learn basic concepts in Linear Algebra course

Using Free Mathematical Software in Engineering Classes

Filtering the course outcomes for engineering mathematics lab via Rasch model

Contact Info

Product

Resources

About