Special Issue "Selected Papers from the ICMASE2020—International Conference on Mathematics and Its Applications in Science and Engineering"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 May 2021.

Special Issue Editors

Prof. Dr. Araceli Queiruga-Dios
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Guest Editor
Department of Applied Mathematics, School of Industrial Engineering, University of Salamanca, Béjar, Salamanca 37700, Spain
Interests: public key cryptography; educational tools and mathematical applications for engineering students
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Prof. Dr. Deolinda M. L. Dias Rasteiro
E-Mail Website
Guest Editor
Department of Mathematics and Physics, Coimbra Polytechnic—ISEC, Coimbra 3045-093, Portugal
Interests: network optimization; image processing; research on new methods to present mathematics to students
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Dr. Jesús Martín Vaquero
E-Mail Website
Guest Editor
Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, Universidad de Salamanca, Salamanca 37008, Spain
Interests: the development of Runge–Kutta methods for solving nonlinear PDEs; approximation theory and mathematical education based on projects and competencies
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Dr. Fatih Yilmaz
E-Mail Website
Guest Editor
Department of Mathematics, Ankara Hacı Bayram Veli University, Çankaya/Ankara 06570, Turkey
Interests: applications of matrix theory, graph theory, number theory and mathematical education based on projects and competencies
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Dr. Víctor Gayoso Martínez
E-Mail Website
Guest Editor
Department of Information Technology and Communications,Institute of Physical and Information Technologies (ITEFI), Spanish National Research Council (CSIC), C/ Serrano 144, 28006 Madrid, Spain
Interests: cryptography; cybersecurity; information security; number theory
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

Mathematics education has changing in recent years, acquiring a different role in undergraduate degrees.

Recent modifications in the educational paradigm demand a comprehensive revision of the teaching and learning methodologies. The innovation in educational contexts should reach a consensus in the way mathematical competencies are evaluated. The regulatory framework of European Higher Education has highlighted the need to develop new quality teaching systems, different methodologies, and different educational processes to be used by teams of professors, lecturers, and trainers at the universities involved in these changes.

This Special Issue will focus on the acquisition of competency assessment, specifically in the case of engineering and science students. Since the current professors are much more familiar with the view and evaluation of contents, deal with competency-oriented assessment goals represents a major challenge. Furthermore, the development of a new approach for motivating students is being demanded by engineering and science trainers, including for students to be motivated with learning. 

In this Special Issue, we attempt to integrate different methodologies for mathematical education, and their evaluation. Potential topics include, but are not limited to:

  • All the processes, methodologies, activities, case studies, etc., related to the evaluation and assessment of mathematical competencies in higher education;
  • Mathematics in engineering and science studies;
  • Putting the concept of mathematical competencies into practice;
  • Good practices in motivating students for learning mathematics at university;
  • Assessing mathematics using applications and projects;
  • Teaching and assessment methodologies when dealing with a large number of students in classes.

Prof. Dr. Araceli Queiruga-Dios
Prof. Dr. Deolinda M. L. Dias Rasteiro
Dr. Jesús Martín Vaquero
Dr. Fatih Yilmaz
Dr. Víctor Gayoso Martínez
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (8 papers)

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Research

Open AccessArticle
Compartmental Learning versus Joint Learning in Engineering Education
Mathematics 2021, 9(6), 662; https://doi.org/10.3390/math9060662 - 20 Mar 2021
Viewed by 368
Abstract
Sophomore students from the Chemical Engineering undergraduate Degree at the University of Salamanca are involved in a Mathematics course during the third semester and in an Engineering Thermodynamics course during the fourth one. When they participate in the latter they are already familiar [...] Read more.
Sophomore students from the Chemical Engineering undergraduate Degree at the University of Salamanca are involved in a Mathematics course during the third semester and in an Engineering Thermodynamics course during the fourth one. When they participate in the latter they are already familiar with mathematical software and mathematical concepts about numerical methods, including non-linear equations, interpolation or differential equations. We have focused this study on the way engineering students learn Mathematics and Engineering Thermodynamics. As students use to learn each matter separately and do not associate Mathematics and Physics, they separate each matter into different and independent compartments. We have proposed an experience to increase the interrelationship between different subjects, to promote transversal skills, and to make the subjects closer to real work. The satisfactory results of the experience are exposed in this work. Moreover, we have analyzed the results obtained in both courses during the academic year 2018–2019. We found that there is a relation between both courses and student’s final marks do not depend on the course. Full article
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Open AccessArticle
One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms
Mathematics 2021, 9(5), 539; https://doi.org/10.3390/math9050539 - 04 Mar 2021
Viewed by 342
Abstract
The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers. Moreover, we construct one type of symmetric matrix family whose elements are [...] Read more.
The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers. Moreover, we construct one type of symmetric matrix family whose elements are harmonic Pell numbers and its Hadamard exponential matrix. We investigate some linear algebraic properties and obtain inequalities by using matrix norms. Furthermore, some summation identities for harmonic Pell numbers are obtained. Finally, we give a MATLAB-R2016a code which writes the matrix with harmonic Pell entries and calculates some norms and bounds for the Hadamard exponential matrix. Full article
Open AccessArticle
Differential and Integral Calculus in First-Year Engineering Students: A Diagnosis to Understand the Failure
Mathematics 2021, 9(1), 61; https://doi.org/10.3390/math9010061 - 29 Dec 2020
Viewed by 400
Abstract
Difficulties in the curricular units (CU) of the mathematical science area, particularly those related to differential and integral calculus (DIC), are often found among students of engineering degrees, leading to high failure rates. A research work was developed with the objective of finding [...] Read more.
Difficulties in the curricular units (CU) of the mathematical science area, particularly those related to differential and integral calculus (DIC), are often found among students of engineering degrees, leading to high failure rates. A research work was developed with the objective of finding the reasons that lead the students to fail in the CU of DIC (CU-DIC) taught in the 1st year of the engineering undergraduate degrees at the Coimbra Engineering Institute (ISEC), in Portugal. Applying a case study methodology, this article will present a current diagnosis with the objective to establish relationships between teaching methods and students’ learning strategies, and besides, we propose to build learning environments that lead to higher success. The analysis of collected data allows us to conclude that the CU-DIC in the ISEC maintain an identical distribution in the hourly load in several engineering degrees, where contents are adjusted to each context taking into account the CUs of each degree. The data analysis found better results in the academic year that includes two examination moments without any relationship between class attendance, dropout and pass rates. We propose some different teaching/learning strategies in CU-DIC and new learning environments that enhance freshmen students’ engagement and participation in their own learning process. Full article
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Open AccessArticle
A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
Mathematics 2020, 8(12), 2149; https://doi.org/10.3390/math8122149 - 02 Dec 2020
Viewed by 415
Abstract
This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained [...] Read more.
This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E. et al., 2020, each of these quaternions is studied and some important differences are remarked on. Full article
Open AccessArticle
Fixed Point Results of Expansive Mappings in Metric Spaces
Mathematics 2020, 8(10), 1800; https://doi.org/10.3390/math8101800 - 16 Oct 2020
Viewed by 447
Abstract
In this study, we introduce the concept of θ-expansive mapping in ordered metric spaces and prove a fixed point theorem for such mappings. We give some fixed point results for θ-expansive mapping in metric spaces and prove fixed point theorems for [...] Read more.
In this study, we introduce the concept of θ-expansive mapping in ordered metric spaces and prove a fixed point theorem for such mappings. We give some fixed point results for θ-expansive mapping in metric spaces and prove fixed point theorems for such mappings. These results extend the main results of many comparable results from the current literature. We also obtain a common fixed point theorem of two weakly compatible mappings in metric spaces. Finally, the examples are presented to support the new theorems and results proved. Full article
Open AccessArticle
Several Theorems on Single and Set-Valued Prešić Type Mappings
Mathematics 2020, 8(9), 1616; https://doi.org/10.3390/math8091616 - 18 Sep 2020
Viewed by 514
Abstract
In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, we give examples to show [...] Read more.
In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, we give examples to show that our main theorems are applicable. These examples show that the new class of set-valued Prešić type almost F-contractive operators is not included in Prešić type class of set-valued Prešić type almost contractive operators. Full article
Open AccessArticle
Generalized Quasi-Einstein Manifolds in Contact Geometry
Mathematics 2020, 8(9), 1592; https://doi.org/10.3390/math8091592 - 16 Sep 2020
Cited by 1 | Viewed by 528
Abstract
In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds. Later, we explore the generalized quasi-constant curvature of normal metric contact pair manifolds. It [...] Read more.
In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds. Later, we explore the generalized quasi-constant curvature of normal metric contact pair manifolds. It is proved that a normal metric contact pair manifold with generalized quasi-constant curvature is a generalized quasi-Einstein manifold. Normal metric contact pair manifolds satisfying cyclic parallel Ricci tensor and the Codazzi type of Ricci tensor are considered, and further prove that a generalized quasi-Einstein normal metric contact pair manifold does not satisfy Codazzi type of Ricci tensor. Finally, we characterize normal metric contact pair manifolds satisfying certain curvature conditions related to M-projective, conformal, and concircular curvature tensors. We show that a normal metric contact pair manifold with generalized quasi-constant curvature is locally isometric to the Hopf manifold S2n+1(1)×S1. Full article
Open AccessArticle
Modelling Tap Water Consumer Ratio
Mathematics 2020, 8(9), 1557; https://doi.org/10.3390/math8091557 - 10 Sep 2020
Cited by 1 | Viewed by 377
Abstract
Increasing population and the rising air temperatures are known as factors that cause water depletion in the watersheds. Therefore, it is important to accurately predict the future ratios of tap water consumers using the same watershed to the population living in the specified [...] Read more.
Increasing population and the rising air temperatures are known as factors that cause water depletion in the watersheds. Therefore, it is important to accurately predict the future ratios of tap water consumers using the same watershed to the population living in the specified area, to produce better water policies and to take the necessary measures. Predictions can be made by a growth curve model (GCM). Parameter estimations of the GCM are usually based on the ordinary least square (OLS) estimator. However, the outlier presence affects the estimations and the predictions, which are obtained by using the estimated model. The present article attempts to construct first- and third-order GCMs with robust least median square (LMS) and M estimators to make short-term predictions of ratios of tap water consumers. According to the findings, parameter estimations of the models, the outliers, and the predictions vary with respect to the estimators. The M estimator for short-term predictions is suggested for use, due to its robustness against outlier points. Full article
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