Engineering Mathematics: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=138
en-us2019 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemTue, 16 Jul 2019 09:02:07 GMTTue, 16 Jul 2019 09:02:07 GMTNew applications in the Engineering Mathematics categoryhttps://www.maplesoft.com/images/Application_center_hp.jpgEngineering Mathematics: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=138
System of Equations 2x2 and 3x3
https://www.maplesoft.com/applications/view.aspx?SID=154520&ref=Feed
This application solves a set of compatible equations of two or three variables. For two variables, it also graphs the intersection point of the variable "x" and "y". If we want to observe the intersection point closer we will use the zoom button that is activated when manipulating the graph. If we want to change the variable ("x" and "y") we enter the code of the button that solves and graphs. For three variables, the intersecting planes are shown.
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In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154520/sis_eq_dpd.png" alt="System of Equations 2x2 and 3x3" style="max-width: 25%;" align="left"/>This application solves a set of compatible equations of two or three variables. For two variables, it also graphs the intersection point of the variable "x" and "y". If we want to observe the intersection point closer we will use the zoom button that is activated when manipulating the graph. If we want to change the variable ("x" and "y") we enter the code of the button that solves and graphs. For three variables, the intersecting planes are shown.
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In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154520&ref=FeedTue, 19 Mar 2019 04:00:00 ZLenin Araujo CastilloLenin Araujo CastilloLinear Optimization Examples
https://www.maplesoft.com/applications/view.aspx?SID=154517&ref=Feed
So, this was introduced into my son's high school Precalculus I class, and he really didn't understand it. After reading his textbook, I could understand why, the explanation was terrible. So, I decided to do a few examples for him, to show him how it would work. While I used Maple to do the computational pieces, I didn't use any built-in functions, I kept it as simple as possible.<img src="https://www.maplesoft.com/view.aspx?si=154517/b0e3e02e0b878253dcb11a11a2b75fce.gif" alt="Linear Optimization Examples" style="max-width: 25%;" align="left"/>So, this was introduced into my son's high school Precalculus I class, and he really didn't understand it. After reading his textbook, I could understand why, the explanation was terrible. So, I decided to do a few examples for him, to show him how it would work. While I used Maple to do the computational pieces, I didn't use any built-in functions, I kept it as simple as possible.https://www.maplesoft.com/applications/view.aspx?SID=154517&ref=FeedTue, 19 Feb 2019 05:00:00 ZProf. Peter SchochProf. Peter SchochFree movement damped and not damped
https://www.maplesoft.com/applications/view.aspx?SID=154485&ref=Feed
With this app we solve problems of muffled and undamped movement. In the following steps:
- We select mass, rigidity and damping coefficient.
- We solve without initial conditions.
- We set the initial conditions with the buttons and sliders.
- We show the solution with its respective graph.
- We chose the time "t" to calculate: displacement, verlocity and acceleration.
- Click on the button evaluating and graphing. To show the respective graphs.
Creating for engineering students.
In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154485/masrest.png" alt="Free movement damped and not damped" style="max-width: 25%;" align="left"/>With this app we solve problems of muffled and undamped movement. In the following steps:
- We select mass, rigidity and damping coefficient.
- We solve without initial conditions.
- We set the initial conditions with the buttons and sliders.
- We show the solution with its respective graph.
- We chose the time "t" to calculate: displacement, verlocity and acceleration.
- Click on the button evaluating and graphing. To show the respective graphs.
Creating for engineering students.
In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154485&ref=FeedSat, 01 Sep 2018 04:00:00 ZLenin Araujo CastilloLenin Araujo CastilloSolving 2nd Order Differential Equations
https://www.maplesoft.com/applications/view.aspx?SID=154426&ref=Feed
This worksheet illustrates how to use Maple to solve examples of homogeneous and non-homogeneous second order differential equations, including several different methods for visualizing solutions.<img src="https://www.maplesoft.com/view.aspx?si=154426/2nd_order_des.PNG" alt="Solving 2nd Order Differential Equations" style="max-width: 25%;" align="left"/>This worksheet illustrates how to use Maple to solve examples of homogeneous and non-homogeneous second order differential equations, including several different methods for visualizing solutions.https://www.maplesoft.com/applications/view.aspx?SID=154426&ref=FeedMon, 26 Mar 2018 04:00:00 ZEmilee CarsonEmilee CarsonDE Phase Portraits - Animated Trajectories
https://www.maplesoft.com/applications/view.aspx?SID=154427&ref=Feed
This worksheet shows an animation of a phase portrait with three different trajectories, as well as animating distance plots.<img src="https://www.maplesoft.com/view.aspx?si=154427/phase_portrait.PNG" alt="DE Phase Portraits - Animated Trajectories" style="max-width: 25%;" align="left"/>This worksheet shows an animation of a phase portrait with three different trajectories, as well as animating distance plots.https://www.maplesoft.com/applications/view.aspx?SID=154427&ref=FeedMon, 26 Mar 2018 04:00:00 ZEmilee CarsonEmilee CarsonSolving ODEs using Maple: An Introduction
https://www.maplesoft.com/applications/view.aspx?SID=154422&ref=Feed
In Maple it is easy to solve a differential equation. In this worksheet, we show the basic syntax. With this you should be able to use the same basic commands to solve many second-order DEs.<img src="https://www.maplesoft.com/view.aspx?si=154422/ode.PNG" alt="Solving ODEs using Maple: An Introduction" style="max-width: 25%;" align="left"/>In Maple it is easy to solve a differential equation. In this worksheet, we show the basic syntax. With this you should be able to use the same basic commands to solve many second-order DEs.https://www.maplesoft.com/applications/view.aspx?SID=154422&ref=FeedFri, 23 Mar 2018 04:00:00 ZDr. Francis PoulinDr. Francis PoulinImplementation of Maple apps for the creation of mathematical exercises in engineering
https://www.maplesoft.com/applications/view.aspx?SID=154388&ref=Feed
In this research work has allowed to show the implementation of applications developed in the Maple software for the creation of mathematical exercises given the different levels of education whether basic or higher.
For the majority of teachers in this area, it seems very difficult to implement apps in Maple; that is why we show the creation of exercises easily and permanently. The purpose is to get teachers from our institutions to use applications ready to be evaluated in the classroom. The results of these apps (applications with components made in Maple) are supported on mobile devices such as tablets and / or laptops and taken to the cloud to be executed online from any computer. The generation of patterns is a very important alternative leaving aside random numbers, which would allow us to lose results
onscreen. With this; Our teachers in schools or universities would evaluate their students in parallel on the blackboard without losing the results of any student and thus achieve the competencies proposed in the learning sessions. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154388/genexr.png" alt="Implementation of Maple apps for the creation of mathematical exercises in engineering" style="max-width: 25%;" align="left"/>In this research work has allowed to show the implementation of applications developed in the Maple software for the creation of mathematical exercises given the different levels of education whether basic or higher.
For the majority of teachers in this area, it seems very difficult to implement apps in Maple; that is why we show the creation of exercises easily and permanently. The purpose is to get teachers from our institutions to use applications ready to be evaluated in the classroom. The results of these apps (applications with components made in Maple) are supported on mobile devices such as tablets and / or laptops and taken to the cloud to be executed online from any computer. The generation of patterns is a very important alternative leaving aside random numbers, which would allow us to lose results
onscreen. With this; Our teachers in schools or universities would evaluate their students in parallel on the blackboard without losing the results of any student and thus achieve the competencies proposed in the learning sessions. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154388&ref=FeedFri, 26 Jan 2018 05:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloGenerator of exercises with vectors
https://www.maplesoft.com/applications/view.aspx?SID=154371&ref=Feed
Application created for teachers. This works to evaluate the students on the blackboard simultaneously on the topics of vector sum, direction, unit vector and projections. Perform the generation of exercises through patterns so that teachers can rescue their answers. Created professors of universities and engineering students. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154371/appteach.png" alt="Generator of exercises with vectors" style="max-width: 25%;" align="left"/>Application created for teachers. This works to evaluate the students on the blackboard simultaneously on the topics of vector sum, direction, unit vector and projections. Perform the generation of exercises through patterns so that teachers can rescue their answers. Created professors of universities and engineering students. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154371&ref=FeedSun, 03 Dec 2017 05:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloMoment of a force using vectors
https://www.maplesoft.com/applications/view.aspx?SID=154345&ref=Feed
The development of the calculation of moments using force vectors is clearly observed by taking a point and also a line. Different exercises are solved with the help of Maple syntax. We can also visualize the vector behavior in the different configurations of the position vector. Applications designed exclusively for engineering students. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154345/moment of force.PNG" alt="Moment of a force using vectors" style="max-width: 25%;" align="left"/>The development of the calculation of moments using force vectors is clearly observed by taking a point and also a line. Different exercises are solved with the help of Maple syntax. We can also visualize the vector behavior in the different configurations of the position vector. Applications designed exclusively for engineering students. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154345&ref=FeedTue, 26 Sep 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloVector space with projections and forces
https://www.maplesoft.com/applications/view.aspx?SID=154294&ref=Feed
With this application you will learn the beginning of the study of the vectors. Graphing it in a vector space from the plane to the space. You can calculate its fundamental characteristics as triangle laws, projections and strength. App made entirely in Maple for engineering students so they can develop their exercises and save time. It is recommended to first use the native syntax then the embedded components. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154294/vectors.PNG" alt="Vector space with projections and forces" style="max-width: 25%;" align="left"/>With this application you will learn the beginning of the study of the vectors. Graphing it in a vector space from the plane to the space. You can calculate its fundamental characteristics as triangle laws, projections and strength. App made entirely in Maple for engineering students so they can develop their exercises and save time. It is recommended to first use the native syntax then the embedded components. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154294&ref=FeedMon, 11 Sep 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloDisplacement and distance traveled with vectors
https://www.maplesoft.com/applications/view.aspx?SID=154293&ref=Feed
In this app you can use from the creation of curve, birth of the position vector and finally applied to the displacement and the distance traveled. All this application revolves around the creation of a path and the path of a particle over this generated by vectors. You will only have to insert the vector components and the times to evaluate. Designed for engineering students guided through Maple. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154293/desplvp.png" alt="Displacement and distance traveled with vectors" style="max-width: 25%;" align="left"/>In this app you can use from the creation of curve, birth of the position vector and finally applied to the displacement and the distance traveled. All this application revolves around the creation of a path and the path of a particle over this generated by vectors. You will only have to insert the vector components and the times to evaluate. Designed for engineering students guided through Maple. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154293&ref=FeedMon, 28 Aug 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloEigenpairs: What are they and how they are found
https://www.maplesoft.com/applications/view.aspx?SID=154291&ref=Feed
Clearly, Maple can compute eigenpairs (eigenvalues and eigenvectors) for a matrix, but of what help is Maple in getting across the concept of an eigenpair, and relating that insight to the standard algorithms students are expected to use to find them? This application is the companion Maple document to the webinar “Eigenpairs in Maple”, presented by Dr. Robert Lopez. In both the webinar and this application, he demonstrates how Maple can enhance the task of teaching the eigenpair concept, and shows how Maple bridges the gap between the concept and the algorithms.
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<B>View the Recorded Webinar:</B><BR>
<A HREF="/webinars/recorded/featured.aspx?id=1181">Eigenpairs in Maple</A><img src="https://www.maplesoft.com/view.aspx?si=154291/eigenpair.jpg" alt="Eigenpairs: What are they and how they are found" style="max-width: 25%;" align="left"/>Clearly, Maple can compute eigenpairs (eigenvalues and eigenvectors) for a matrix, but of what help is Maple in getting across the concept of an eigenpair, and relating that insight to the standard algorithms students are expected to use to find them? This application is the companion Maple document to the webinar “Eigenpairs in Maple”, presented by Dr. Robert Lopez. In both the webinar and this application, he demonstrates how Maple can enhance the task of teaching the eigenpair concept, and shows how Maple bridges the gap between the concept and the algorithms.
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<B>View the Recorded Webinar:</B><BR>
<A HREF="/webinars/recorded/featured.aspx?id=1181">Eigenpairs in Maple</A>https://www.maplesoft.com/applications/view.aspx?SID=154291&ref=FeedFri, 25 Aug 2017 04:00:00 ZDr. Robert LopezDr. Robert LopezPlot of Position Vector
https://www.maplesoft.com/applications/view.aspx?SID=154290&ref=Feed
This app performs the trace of a given path r(t), then locates the position vector in a specific time. It also graphs the velocity vector, acceleration, tangential and normal unit vectors, along with the binormal. The numerical value of velocity, acceleration and curvature are also observed for a better analysis of the movement of particles in a curvilinear trajectory. Developed for our engineering students. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154290/bnrvp.png" alt="Plot of Position Vector" style="max-width: 25%;" align="left"/>This app performs the trace of a given path r(t), then locates the position vector in a specific time. It also graphs the velocity vector, acceleration, tangential and normal unit vectors, along with the binormal. The numerical value of velocity, acceleration and curvature are also observed for a better analysis of the movement of particles in a curvilinear trajectory. Developed for our engineering students. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154290&ref=FeedThu, 10 Aug 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloClassroom Tips and Techniques: Roles for the Laplace Transform's Shifting Laws
https://www.maplesoft.com/applications/view.aspx?SID=1723&ref=Feed
The shifting laws for the Laplace transform are examined, and the argument is made that the transform of f(t) Heaviside(t - a) should be done with the third shifting law, reserving the second shifting law strictly for inverting functions of the form e^(-a s) F(s). It is needlessly complicated to apply the second shifting law to functions of the form f(t) Heaviside(t - a)<img src="https://www.maplesoft.com/view.aspx?si=1723/laplace.PNG" alt="Classroom Tips and Techniques: Roles for the Laplace Transform's Shifting Laws" style="max-width: 25%;" align="left"/>The shifting laws for the Laplace transform are examined, and the argument is made that the transform of f(t) Heaviside(t - a) should be done with the third shifting law, reserving the second shifting law strictly for inverting functions of the form e^(-a s) F(s). It is needlessly complicated to apply the second shifting law to functions of the form f(t) Heaviside(t - a)https://www.maplesoft.com/applications/view.aspx?SID=1723&ref=FeedTue, 25 Apr 2017 04:00:00 ZDr. Robert LopezDr. Robert LopezUniversal method of kinematic analysis of spatial and planar link mechanisms
https://www.maplesoft.com/applications/view.aspx?SID=154228&ref=Feed
The application of idea Draghilev method of solving systems of nonlinear equations for the kinematic analysis of link mechanisms with any number degrees of freedom.<img src="https://www.maplesoft.com/view.aspx?si=154228/fig_2.jpg" alt="Universal method of kinematic analysis of spatial and planar link mechanisms" style="max-width: 25%;" align="left"/>The application of idea Draghilev method of solving systems of nonlinear equations for the kinematic analysis of link mechanisms with any number degrees of freedom.https://www.maplesoft.com/applications/view.aspx?SID=154228&ref=FeedWed, 08 Mar 2017 05:00:00 ZAlexey IvanovAlexey IvanovPulsdruckwerte aus Langzeitmessung
https://www.maplesoft.com/applications/view.aspx?SID=154144&ref=Feed
During a period of nearly 24 hours the blood pressure of a patient at a Hospital in Aachen has been measured. Thus, we have a lot of Systole-, Diastole-, Pulse Pressure-, and Pulse-Values important for a medical doctor treating sick patients. This worksheet is concerned with the mathematical analysis of this data.<img src="https://www.maplesoft.com/view.aspx?si=154144/pressure.PNG" alt="Pulsdruckwerte aus Langzeitmessung" style="max-width: 25%;" align="left"/>During a period of nearly 24 hours the blood pressure of a patient at a Hospital in Aachen has been measured. Thus, we have a lot of Systole-, Diastole-, Pulse Pressure-, and Pulse-Values important for a medical doctor treating sick patients. This worksheet is concerned with the mathematical analysis of this data.https://www.maplesoft.com/applications/view.aspx?SID=154144&ref=FeedTue, 06 Sep 2016 04:00:00 ZProf. Josef BettenProf. Josef BettenAplicativo de Ecuaciones en primer orden
https://www.maplesoft.com/applications/view.aspx?SID=154139&ref=Feed
With this application you can develop your equations without the need to worry about the difficult calculation. Save calculation time and you will increase the time in interpreting the results. It was developed in Maple 2016 and can be executed in maple player.
In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154139/appec.png" alt="Aplicativo de Ecuaciones en primer orden" style="max-width: 25%;" align="left"/>With this application you can develop your equations without the need to worry about the difficult calculation. Save calculation time and you will increase the time in interpreting the results. It was developed in Maple 2016 and can be executed in maple player.
In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154139&ref=FeedSun, 07 Aug 2016 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloPulse Values from Long Term Measurement
https://www.maplesoft.com/applications/view.aspx?SID=154087&ref=Feed
Long term measurement of heart rate furnishes important information of cardiac anomalies. During a period of about 24 hours pulse rate of a patient at the University Hospital Aachen has been measured. Thus, we have a lots of pulse values, which are important for a medical doctor treating sick patients. We use Maple to analyze this data. At first the given data have been interpolated by cubic spline functions. Then, these functions have been approximated by nonlinear regression and also by Fourier series.<img src="https://www.maplesoft.com/view.aspx?si=154087/pulsevalues.png" alt="Pulse Values from Long Term Measurement" style="max-width: 25%;" align="left"/>Long term measurement of heart rate furnishes important information of cardiac anomalies. During a period of about 24 hours pulse rate of a patient at the University Hospital Aachen has been measured. Thus, we have a lots of pulse values, which are important for a medical doctor treating sick patients. We use Maple to analyze this data. At first the given data have been interpolated by cubic spline functions. Then, these functions have been approximated by nonlinear regression and also by Fourier series.https://www.maplesoft.com/applications/view.aspx?SID=154087&ref=FeedWed, 20 Apr 2016 04:00:00 ZProf. Josef BettenProf. Josef BettenVectors in the plane.
https://www.maplesoft.com/applications/view.aspx?SID=154071&ref=Feed
If an object is subjected to several forces having different magnitudes and act in different directions, how can determine the magnitude and direction of the resultant total force on the object? Forces are vectors and should be added according to the definition of the vector sum. Engineering dealing with many quantities that have both magnitude and direction and can be expressed and analyzed as vectors.
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In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154071/vpThumb.jpg" alt="Vectors in the plane." style="max-width: 25%;" align="left"/>If an object is subjected to several forces having different magnitudes and act in different directions, how can determine the magnitude and direction of the resultant total force on the object? Forces are vectors and should be added according to the definition of the vector sum. Engineering dealing with many quantities that have both magnitude and direction and can be expressed and analyzed as vectors.
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In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154071&ref=FeedFri, 01 Apr 2016 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloThe Schwarz-Christoffel panel method: a computational kit
https://www.maplesoft.com/applications/view.aspx?SID=153963&ref=Feed
The so-called Schwarz-Christoffel Panel Method devised and developed by Prof. E. Morishita for the analysis of aerodynamics of airfoils with arbitrary geometry is built as a hidden code in this document. Given the airfoil geometry, the Schwarz-Christoffel transform that maps the unit circle onto the polygon that represents the airfoil, is obtained. Some Maple resources are included to handle and visualize the computed results.<img src="https://www.maplesoft.com/view.aspx?si=153963/temporaryAirfoils.png" alt="The Schwarz-Christoffel panel method: a computational kit" style="max-width: 25%;" align="left"/>The so-called Schwarz-Christoffel Panel Method devised and developed by Prof. E. Morishita for the analysis of aerodynamics of airfoils with arbitrary geometry is built as a hidden code in this document. Given the airfoil geometry, the Schwarz-Christoffel transform that maps the unit circle onto the polygon that represents the airfoil, is obtained. Some Maple resources are included to handle and visualize the computed results.https://www.maplesoft.com/applications/view.aspx?SID=153963&ref=FeedWed, 03 Feb 2016 05:00:00 ZLuis Sainz de los TerrerosLuis Sainz de los Terreros