scholarly journals When will I ever use that? Giving students opportunity to see the direct application of modelling techniques in the real world.

2016 ◽  
Vol 14 (3) ◽  
pp. 45
Author(s):  
Ros Porter ◽  
Hannah Bartholomew
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Mathematical Models ◽  
Real World ◽  
Direct Application ◽  
First Year ◽  
Thought Processes ◽  
The Real ◽  
Modelling Techniques

Mathematical modelling is unfamiliar to many young mathematicians and can be a source of anxiety for many. Although many first year mathematics undergraduates will have used mathematical models throughout GCSE and A Level most are unaware of this. Very few understand what a mathematical model is, fewer still the concept of building a model. In our experience students are reluctant to try and build their own models and fail to see the value of modelling skills in the real world. We invited 3 speakers to attend a first year modelling lecture to talk about the models they use in their jobs with the intention that this would help students see that modelling skills and analytical thought processes are valuable tools for a maths graduate. The speakers had different employment backgrounds being from banking, research (chemistry) and transport engineering. Each spoke for approximately 10 mins. giving an outline of their field. The lecture was followed by tutorials in which students were asked to reflect on what the speakers had said and how this related to their own learning. Two of the speakers also attended the tutorials and were able to have more informal conversations with the students.

scholarly journals Teaching mathematical modelling: a framework to support teachers’ choice of resources

2019 ◽  
Vol 39 (2) ◽  
pp. 127-144
Author(s):  
Peter K Dunn ◽  
Margaret F Marshman
Keyword(s):  
Mathematical Modelling ◽  
Mathematical Models ◽  
Mathematics Teachers ◽  
Real World ◽  
Real Data ◽  
Model Structure ◽  
The Real ◽  
Using Data ◽  
Do So ◽  
Poor Practice

AbstractMathematics teachers are often keen to find ways of connecting mathematics with the real world. One way to do so is to teach mathematical modelling using real data. Mathematical models have two components: a model structure and parameters within that structure. Real data can be used in one of two ways for each component: (a) to validate what theory or context suggests or (b) to estimate from the data. It is crucial to understand the following: the implications of using data in these different ways, the differences between them, the implications for teaching and how this can influence students’ perceptions of the real-world relevance of mathematics. Inappropriately validating or estimating with data may unintentionally promote poor practice and (paradoxically) reinforce in students the incorrect idea that mathematics has no relevance to the real world. We recommend that teachers approach mathematical modelling through mathematizing the context. We suggest a framework to support teachers’ choice of modelling activities and demonstrate these using examples.

Call for Manuscripts for the 2015 Focus Issue: Mathematical Modeling

2013 ◽  
Vol 18 (9) ◽  
pp. 571
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Real World ◽  
The Real

This call for manuscripts is requesting articles that address how to use mathematical models to analyze, predict, and resolve issues arising in the real world.

Mathematical modelling.

2021 ◽  
Author(s):  
Ed Rutgers Durner
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Mathematical Models ◽  
Growth And Development ◽  
Fertilizer Recommendations ◽  
Mathematical Equations

Abstract Plants are studied to understand their growth and development so that their quality and productivity can be optimised. Models are developed that can be simple and descriptive, or quite complex with numerous mathematical equations; their level of complexity is linked to their purpose. This summary serves as an introduction to mathematical models in horticulture. It is not a manual for modelling itself, but rather an overview of how important mathematical models are in horticultural production. Mathematical models are used extensively in horticulture both extrinsically, i.e. when calculating chilling hour accumulations and intrinsically, i.e. when applying fertilizer to a crop. In chilling calculations, developed models are used directly. Fertilizer recommendations were probably developed using a mathematical model. The first part of this article discusses models in general and reviews general characteristics of mathematical models. The second part outlines the major uses of mathematical modelling in modern horticultural production. Presentations of specific models are limited in order to present a general discussion of models with examples that will interest most horticulturists.

scholarly journals Analysis on Present Mathematical Model for Predicting the Crop Production

2020 ◽  
Vol 9 (12) ◽  
pp. 168-170
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Real World ◽  
Crop Production ◽  
Ghg Emissions ◽  
Data Set ◽  
Factors Affecting ◽  
The Government ◽  
The Mathematical Model ◽  
Government Website

India is a worldwide agriculture business powerhouse. Future of agriculture-based products depends on the crop production. A mathematical model might be characterized as a lot of equations that speak to the conduct of a framework. By using mathematical model in agriculture field, we can predict the production of crop in particular area. There are various factors affecting crops such as Rainfall, GHG Emissions, Temperature, Urbanization, climate, humidity etc. A mathematical model is a simplified representation of a real-world system. It forms the system using mathematical principles in the form of a condition or a set of conditions. Suppose we need to increase the crop production, at that time the mathematical model plays a major role and our work can be easier, more significant by using the mathematical model. Through the mathematical model we predict the crop production in upcoming years. .AI, ML, IOT play a major role to predict the future of agriculture, but without mathematical models it is not possible to predict crop production accurately. To solve the real-world agriculture problem, mathematical models play a major role for accurate results. Correlation Analysis, Multiple Regression analysis and fuzzy logic simulation standards have been utilized for building a grain production benefit depending model from crop production. Prediction of crop is beneficiary to the farmer to analyze the crop management. By using the present agriculture data set which is available on the government website, we can build a mathematical model.

Mathematical Modelling the Power Supply-Load System for Electro-Discharge Polishing Process

2010 ◽  
Vol 159 ◽  
pp. 125-128
Author(s):  
A. Parshuta ◽  
V. Chitanov ◽  
Lilyana Kolaklieva ◽  
Roumen Kakanakov
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Numerical Solution ◽  
Power Supply ◽  
Equation System ◽  
Electrolyte Temperature ◽  
Polishing Process ◽  
The Real ◽  
Quadratic Interpolation ◽  
Runge Kutta

The real electro-discharge polishing (EDP) system has been presented by an equivalent electrical scheme and described by a corresponded equation system. The Runge-Kutta-Merson method with automatically changed step is used for the numerical solution the equation system. The current through the resistor equivalent to the steam gas wrapper is defined with an I-V characteristic obtained by the method of multi-interval quadratic interpolation-approximation. A mathematical model of the power supply-load system has been realized in Basic and Matlab® languages. On the base of the developed modelling conditions limiting the current and voltage overload in the EDP system have been determined depending on the maximum polished area and the electrolyte temperature.

scholarly journals Dynamics of an Information Spreading Model with Isolation

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Xia-Xia Zhao ◽  
Jian-Zhong Wang
Keyword(s):  
Mathematical Model ◽  
Hopf Bifurcation ◽  
Limit Cycle ◽  
Real World ◽  
Modern Society ◽  
The Real ◽  
Spreading Model ◽  
Wide Range ◽  
Bistable Phenomenon ◽  
Information Spreading

Information plays an important role in modern society. In this paper, we presented a mathematical model of information spreading with isolation. It was found that such a model has rich dynamics including Hopf bifurcation. The results showed that, for a wide range of parameters, there is a bistable phenomenon in the process of information spreading and thus the information cannot be well controlled. Moreover, the model has a limit cycle which implies that the information exhibits periodic outbreak which is consistent with the observations in the real world.

Call for Manuscripts for the 2015 Focus Issue: Mathematical Modeling

2013 ◽  
Vol 18 (8) ◽  
pp. 467
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Real World ◽  
The Real

This call for manuscripts is requesting articles that address how to use mathematical models to analyze, predict, and resolve issues arising in the real world.

scholarly journals New Thermodynamics: Inelastic Collisions and Cosmology

2020 ◽  
Vol 2 (6) ◽  
Author(s):  
Kent W. Mayhew
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Mathematical Modelling ◽  
Real World ◽  
Inelastic Collisions ◽  
Elastic Collisions ◽  
The Real ◽  
The Creation

The sciences have evolved around elastic collisions although most collisions are inelastic. Elastic collisions allow for simpler mathematical modelling, that may not be particularly suitable for cosmology. Inelastic collisions create photons. This has led to consideration of an ensemble of inelastic collisions producing CMB. This will further lead to brief discussions concerning the nature of dark matter, and dark energy. This will then be followed by a simpler analogy concerning the creation of Hawking’s radiation. A consequence of collisions being inelastic is that as a mathematical contrivance, entropy may only be an approximation when applied to the real world. And this fits well with this author’s “New Thermodynamics”.

scholarly journals Discovery of nanoscale sanal flow choking in cardiovascular system: exact prediction of the 3D boundary-layer-blockage factor in nanotubes

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
V. R. Sanal Kumar ◽  
Vigneshwaran Sankar ◽  
Nichith Chandrasekaran ◽  
Sulthan Ariff Rahman Mohamed Rafic ◽  
Ajith Sukumaran ◽  
...  
Keyword(s):  
Boundary Layer ◽  
Mathematical Model ◽  
Fluid Flow ◽  
Real World ◽  
Diastolic Pressure ◽  
Pressure Ratio ◽  
Flow Choking ◽  
The Real ◽  
Blockage Factor ◽  
Flow Systems

AbstractEvidences are escalating on the diverse neurological-disorders and asymptomatic cardiovascular-diseases associated with COVID-19 pandemic due to the Sanal-flow-choking. Herein, we established the proof of the concept of nanoscale Sanal-flow-choking in real-world fluid-flow systems using a closed-form-analytical-model. This mathematical-model is capable of predicting exactly the 3D-boundary-layer-blockage factor of nanoscale diabatic-fluid-flow systems (flow involves the transfer of heat) at the Sanal-flow-choking condition. As the pressure of the diabatic nanofluid and/or non-continuum-flows rises, average-mean-free-path diminishes and thus, the Knudsen-number lowers heading to a zero-slip wall-boundary condition with the compressible-viscous-flow regime in the nanoscale-tubes leading to Sanal-flow-choking due to the sonic-fluid-throat effect. At the Sanal-flow-choking condition the total-to-static pressure ratio (ie., systolic-to-diastolic pressure ratio) is a unique function of the heat-capacity-ratio of the real-world flows. The innovation of the nanoscale Sanal-flow-choking model is established herein through the entropy relation, as it satisfies all the conservation-laws of nature. The physical insight of the boundary-layer-blockage persuaded nanoscale Sanal-flow-choking in diabatic flows presented in this article sheds light on finding solutions to numerous unresolved scientific problems in physical, chemical and biological sciences carried forward over the centuries because the mathematical-model describing the phenomenon of Sanal-flow-choking is a unique scientific-language of the real-world-fluid flows. The 3D-boundary-layer-blockage factors presented herein for various gases are universal-benchmark-data for performing high-fidelity in silico, in vitro and in vivo experiments in nanotubes.

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