
Contreras, W.A.; BautistaCarrascosa, I.; Lidón, A.; Ginestar, D.
[EN] Computational models are useful tools in most of the knowledge areas and can be easily used to visualize the behaviour of complex systems. In this work, we present a simple com partmental model to simulate the dynamics of the concentration of a given pesticide in a rice crop. The model considers different compartments such as: air, water, rice plants and sediments, which are coupled with a soil column modelled by means of a convectionadvection equation. The model has been implemented in MatlabQc and has a Graphical User Interface (Gui) that allows to change easily the value of different parameters...

Jordan, Cristina; Burriel, Jordi; Herráiz, Raquel
[EN] Graph theory solves, via a good modelization, a very large number of problems in different areas. This is why, this theory has been having an exponential increase in the last years. One of the basic problems that this theory solves is to obtain the shortest path between two points. In order to illustrate this problem, to motivate its study and to introduce the student in the world of the mathematical modelization and its large range of possibilities, we present a specific case: to help the police to catch the authors of a theft. The solution consists of representing the...

Boigues, Francisco J.; Estruch, Vicente D.; Roig, Bernardino; Vidal, Anna
[EN] Applied Mathematics appears as a basic subject in the curricula of degree titles within the European Higher Education Area. This fact is not directly or strictly linked to the new structure, but the need to enhance aspects like the teaching in context or to use mathematical modelling to improve educational performance is generally accepted. We present a model of transmission of pests, for students of the first year degree in Environmental Sciences, as a motivating element that also integrates many concepts and topics that are discussed in Linear Algebra in a meaningful environment of mathematics. For the instrumental genesis...

Giménez, Fernando; Monsoriu, Juan A.; LapueblaFerri, Andrés; Jiménez, Antonio José
[EN] In this work, we present a graphic user interface (Gui) developed in MatlabQc to easily obtain the gravity center and the matrix of inertia of a plane domain. It is allowed to include holes, an also to consider curved or straight edges. The application represents graphically the domain, the position of the centre of gravity and the principal axes of inertia. From a pedagogical point of view, it can be usefully employed in the context of different subjects in university teaching, such as: Physics, Strength of Materials, Structural Analysis, etc.

Sol, Manel; Giménez, Joaquín; Rosich, Núria
[EN] We present the results of our research about ESO student low attainers’ modelling competencies. We have analyzed their papers (dossiers) about the modelling activities they carried out. These modelling activities have been called Realistic modelling Project (RMP). We have studied specially the set of actions that students do when they carry out their projects. The sequence of all the actions has been called ‘Modelling Route”. In order to analyse it we have set out a hypothetical modelling route that ESO students, as nonexpert modellers, can perform a whole modelling process. This hypothetical route, consists of 16 actions, which we...

Giménez, Fernando; LapueblaFerri, Andrés; Jiménez, Antonio José; Monsoriu, Juan A.
[EN] Virtual laboratories are a very powerful tool to help in transmitting scientific knowledge. Within the actual framework of university teaching, such tools are of great value due to its capabilities of selfteaching to the students of technical studies. In the present work, the authors describe a virtual laboratory developed with the Graphical User Interface (Gui) of the MatlabQc package. The aim of this virtual laboratory is to obtain the diagrams (i.e., graphical representation) of axial forces, shear forces and bending moments in plane, twodimensional frames.

Cubarsi, R.; Vázquez, E.; Villaverde, A.
[EN] The penetration of a modified version of a green fluorescent protein called GFP in the cytoplasm and nucleus of a mammalian cell is modelled. The mathematical model provides a first approach to the experiment, with a progressive decreasing rate of fluorescence as the total luminosity increases until saturation. However, a local deviation from the proposed model is detected, due to a process that takes place in a nondifferentiable way. The phenomenon is explained from the sudden entrance of GFP into the cytoplasm and nucleus by the weakening or permeabilization of their membranes, and from the obstruction of GFP flux...

GarciaRaffi, L.M.; RomeroGarcía, V.
[EN] Within the framework of the new curriculum, where active learning is the student, we propose a practice of modelling in science education to work with basics of mathematics and physics. The practice involves the modelling of wave reflection by rough surfaces. In a first stage, the reflection is analysed by a completely flat surface using geometric and physical concepts. The wave reflected from the surface is calculated from the waves emitted by a virtual source placed at the position symmetrical to the source position with respect to the mirror surface. To calculate the reflected wave, probability concepts are introduced....

Camarena, JoanGerard; Morillas, Samuel; Cisneros, F.J.
[EN] Students motivation for learning mathematical concepts can be increased when showing the usefulness of these concepts in practical problems. One important mathematical concept is the concept of metric space and, more related to the applications, the concept of metric function. In this work we aim to illustrate how important is to appropriately choose the metric when dealing with a practical problem. In particular, we focus on the problem of detection of noisy pixels in colour images. In this context, it is very important to appropriately measure the distances and similarities between the image pixels, which is done by means...

Jiménez Mocholí, Antonio José; GiménezPalomares, Fernando; LapueblaFerri, Andrés
[EN] Thinwalled coldformed steel sections are widely used in structural design. These sections, however, exhibit inestabilities that are caused by compression stresses when a structural member bends. For this reason, is necessary to know the effective values of the geometrical parameters of these sections, such as area section and moments of inertia. In addition, it is not recommended to choose openshaped sections to sustain torsional loads, mostly if they are thinwalled sections. When designing a structure with thinwalled, openshaped sections, it is necessary to use geometrical parameters such as torsional modulus, warping modulus, etc. In this job, an application designed...

Carlos, Sofia
[EN] The short term load dispatch using different energy technologies is a technical problem of great interest. This problem is addressed to Industrial Engineers, as some lectures about energy technologies and the electric market can be found among the subjects of this degree. The work proposed consists of performing the optimization of the power generated by different plants to satisfy a dairy demand curve taking into consideration only thermal and hydropower plants. A simple mathematical model has been developed to quantify the power generated for each kind of plant that takes into consideration all of their supply restrictions. To perform...

Monsoriu, J.A.; Giménez, M.H.; Giménez, F.; Marín, M.J.
[EN] Quantum superlattices are composite aperiodic structures comprised of alternating layers of several semiconductors following the rules of an aperiodic sequence. From a pedagogical point of view, it is easy to obtain the electronic scattering properties of these systems by means of the Transfer Matrix Method (TMM). In this work we present a TMM code developed in Mathematica that allows modeling periodic and aperiodic superlattices for motivating students of quantum physics by using unconventional geometries such as fractals or the Fibonacci sequence.

Galdames Bravo, Orlando
[EN] The Bézier curves, a mathematical tool used in construction of curves and surfaces, was born as concrete application within the car industry. The present paper expects to recover this example for show how some mathematical tools can be used in the university teaching. We explain how and why these arise and also its mathematical formulation with the troubles that set out. We finalize describing an experience in the classroom and we extract some conclusions respect to supposing the incorporation of a subject oriented to solve a design using Bézier curves and surfaces.

Domínguez Jiménez, María Elena
[EN] In this work we emphasize the relationship between two apparently very different disciplines: digital photography and mathematics. In fact, digital images that everybody handles nowadays are mathematically modeled by matrices. Moreover, all the manipulations over digital pictures can be expressed by means of matricial operations. In particular, here we set a problem of compression of digital images, based in the SVD (singular value decomposition), a concept learnt by the students of Linear Algebra courses. In this way, the students discover, by themselves, some important issues that teachers want to transmit to them: on one hand, that the theoretical concepts...

Sierra, L.; GarciaRaffi, L.M.; Gómez i Urgellés, Joan
[EN] In this paper we present an example of teaching mathematics from a different and motivating point of view for students of Compulsory Secondary Education (ESO). Mathematical modelling is a creative activity that properly directed, it could be introduced in the class room in a easily and effectively way. This implies a renovation of both methodologies in the classroom and the type of skills evaluated on students. Mathematical modelling is a different way of presenting and working mathematics in the classroom, closer to the students interest, that has influence in the results achieved. This paper presents the experience that took...

Jiménez Fernández, E.
[EN] In this work we use a beam problem as an application of diagonalization of symmetric matrices.

Jordan, Cristina; Torregrosa, Juan R.
[EN] In graph theory, networks play an important role in a lot of type of problems. In this paper we present some of them, sometimes without a clear relation with the classic definition of a network. They are enunciated in a real neighbourhood and the first step to solve them consists of translating the conditions of the problem to a graph. In order to get a good modelization, it must to take in mind the objective to reach. After the problem is modelized we apply the techniques or methods studied in graph theory. This type of problems increases the interest...

Giménez, M.H.; Monsoriu, J.A.; Giménez, F.; Pons, A.; Barreiro, J.C.; Furlan, W.D.
[EN] This work presents a new virtual laboratory, Difract, developed with Easy Java Simulations, for using in Optics courses as a computer tool for the mathematical modelling of the diffraction properties of 1D and 2D fractal gratings. This virtual laboratory enables students to quickly and easily analyze the influence on the Fraunhofer diffraction pattern of the different construction parameters of the fractal grating. As an application example, the Cantor fractal set has been considered.

Sierra Galdón, Lorena
[EN] In this paper we present an activity realized at IES Moixent in Valencia during the 2009 2010 academic year by ten students of the fourth course of Compulsory Secondary Education (ESO) in the subject of Mathematics. The activity consisted of estimating the height of the bell tower of the town of Moixent using four different mathematical methods. First, we explain the reasons drove us to organize this activity and then we briefly describe the methods used. We also present the methodology, the contents and the objectives to be achieved with this activity. Finally an sample of the results and...

LapueblaFerri, Andrés; Giménez, Fernando; Jiménez, A.J.; Monsoriu, Juan A.; Pérez del Palomar, Amaya
[EN] Computerassisted Finite Element Method is a widespread tool in the field of engineering. In certain applications, it is necessary to modify the mesh of the model during the analysis, which is known as ’remeshing’. In these situations, it is usually needed to perform some measurements, p.e., to calculate the volume of a region. Commercial packages can cover these needed, but they reveal to be limited in some situations. In this work, an application developed in MatlabQc is presented to approximately calculate the volume of a spatial region comprised between to meshes. The first is a quadrilateral finite element mesh,...