Prof. David Macias Ferrer: New Applications
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en-us2016 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 30 Jun 2016 23:02:30 GMTThu, 30 Jun 2016 23:02:30 GMTNew applications published by Prof. David Macias Ferrerhttp://www.mapleprimes.com/images/mapleapps.gifProf. David Macias Ferrer: New Applications
http://www.maplesoft.com/applications/author.aspx?mid=30166
Hamiltonian Systems
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The principal goals of this document are to show the principal characteristics of the Non Linear Differential Equations Systems, in particular: Hamiltonian Systems, to use the Maple Tools to find Hamiltonian Function associated and to show the powerful Maple 10 graphics tools to visualize some trajectories on phase plane.<img src="/view.aspx?si=4855/HamSys_50.jpg" alt="Hamiltonian Systems" align="left"/>The principal goals of this document are to show the principal characteristics of the Non Linear Differential Equations Systems, in particular: Hamiltonian Systems, to use the Maple Tools to find Hamiltonian Function associated and to show the powerful Maple 10 graphics tools to visualize some trajectories on phase plane.4855Wed, 03 Jan 2007 00:00:00 ZProf. David Macias FerrerProf. David Macias FerrerPhase Plane for Two-Dimensional Autonomous System
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The principal goals are to make a classification of the equilibrium points for a two-dimensional autonomous system and to show the powerful Maple 10 graphics tools to visualize the phase portraits in all cases.<img src="/view.aspx?si=4853/image.jpg" alt="Phase Plane for Two-Dimensional Autonomous System" align="left"/>The principal goals are to make a classification of the equilibrium points for a two-dimensional autonomous system and to show the powerful Maple 10 graphics tools to visualize the phase portraits in all cases.4853Fri, 29 Dec 2006 00:00:00 ZProf. David Macias FerrerProf. David Macias FerrerThe Population of Mexican United States. Part I
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The principal goal of this document is to find mathematical models for the Mexican population
growth since 1921 to 1995 using Maple 10 Statistics and DEtools Pakages and to predict the population for the
2000 and 2005 years.<img src="/view.aspx?si=4850/mexpop.jpg" alt="The Population of Mexican United States. Part I" align="left"/>The principal goal of this document is to find mathematical models for the Mexican population
growth since 1921 to 1995 using Maple 10 Statistics and DEtools Pakages and to predict the population for the
2000 and 2005 years.4850Thu, 14 Dec 2006 00:00:00 ZProf. David Macias FerrerProf. David Macias FerrerPolynomial Regression through Least Square Method
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The goals of this document are to show the approximation of a Point Dispersion through Quadratic Regression Polynomials using the Least Square Method and Maple 10 tools.<img src="/view.aspx?si=4845/PolyReg.htm_67.gif" alt="Polynomial Regression through Least Square Method" align="left"/>The goals of this document are to show the approximation of a Point Dispersion through Quadratic Regression Polynomials using the Least Square Method and Maple 10 tools.4845Tue, 21 Nov 2006 00:00:00 ZProf. David Macias FerrerProf. David Macias FerrerFunctional Approximation through Finite Fourier Series
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The principal goals of this worksheet are To aproximate a Piecewise Continuous Function through Trigonometric Polynomials commonly called Fourier Partial Sums or Finite Fourier Series, to show the convergence of these aproximation via Bessel's Inequality and using Maple spreadsheets and to show Maple’s powerful graphics tools to visualize the application of Weierstrass's Theorem.
The attached .zip file contains both the original Maple 8 .mws file and a Maple 10 .mw version of the worksheet.<img src="/view.aspx?si=4841/image.jpg" alt="Functional Approximation through Finite Fourier Series" align="left"/>The principal goals of this worksheet are To aproximate a Piecewise Continuous Function through Trigonometric Polynomials commonly called Fourier Partial Sums or Finite Fourier Series, to show the convergence of these aproximation via Bessel's Inequality and using Maple spreadsheets and to show Maple’s powerful graphics tools to visualize the application of Weierstrass's Theorem.
The attached .zip file contains both the original Maple 8 .mws file and a Maple 10 .mw version of the worksheet.4841Fri, 03 Nov 2006 00:00:00 ZProf. David Macias FerrerProf. David Macias FerrerTorricelli's Law
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The goals of this worksheet are to show the application of differential equations to drained process in vessels through Torricelli's Law and to show the application of Maple Tools to visualize graphically this phenomenon.<img src="/view.aspx?si=1741/torricelli.JPG" alt="Torricelli's Law" align="left"/>The goals of this worksheet are to show the application of differential equations to drained process in vessels through Torricelli's Law and to show the application of Maple Tools to visualize graphically this phenomenon.1741Tue, 30 May 2006 00:00:00 ZProf. David Macias FerrerProf. David Macias FerrerThe Paraboloid, a Case Study
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The Paraboloid is a geometric figure very used in the engineering design. For this reason, it is important to know certain geometric characteristics like their area and volume besides the flow of a vectorial field that can cross this surface. In this worsheet, we will calculate these characteristics through double and triple integrals in different coordinate systems using the Maple commands.<img src="/view.aspx?si=1737/paraboloid.jpg" alt="The Paraboloid, a Case Study" align="left"/>The Paraboloid is a geometric figure very used in the engineering design. For this reason, it is important to know certain geometric characteristics like their area and volume besides the flow of a vectorial field that can cross this surface. In this worsheet, we will calculate these characteristics through double and triple integrals in different coordinate systems using the Maple commands.1737Mon, 29 May 2006 00:00:00 ZProf. David Macias FerrerProf. David Macias FerrerSurfaces in Other Coordinate Systems
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In the first courses of advanced mathematics for engineering, It's teach usually the cartesian, polar, cylindrical and spherical coordinate systems, but exist various uncommon coordinate systems that it's very importat in science and high technology. In the mathematical modelling process, is important to know the essence of the coordinates involved in such systems. For example, in the cartesian coordinate system, x,y and z are linear measures, but not so in other system. In toroidal coordinate system, r is a radial measure while u and v are angular measures. In cartesian coordinate system, the "coordinate surfaces" are simply planes mutually othogonals while in other systems, these are surfaces.
This worksheet can be accessed using Maple 8, or using Maple 10's Classic Interface<img src="/view.aspx?si=1732/SurfacesOthSys_5.JPG" alt="Surfaces in Other Coordinate Systems" align="left"/>In the first courses of advanced mathematics for engineering, It's teach usually the cartesian, polar, cylindrical and spherical coordinate systems, but exist various uncommon coordinate systems that it's very importat in science and high technology. In the mathematical modelling process, is important to know the essence of the coordinates involved in such systems. For example, in the cartesian coordinate system, x,y and z are linear measures, but not so in other system. In toroidal coordinate system, r is a radial measure while u and v are angular measures. In cartesian coordinate system, the "coordinate surfaces" are simply planes mutually othogonals while in other systems, these are surfaces.
This worksheet can be accessed using Maple 8, or using Maple 10's Classic Interface1732Mon, 01 May 2006 00:00:00 ZProf. David Macias FerrerProf. David Macias FerrerVolume of Geometric Solids through Double Integrals
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The goals of this workseet is to calculate the volume of certain geometric solids in 3D space through double integrals and to show the powerful Maple 8 graphics tools to visualize the geometric solids involved in the evaluation of double integrals.<img src="/view.aspx?si=1726/geosolid.jpg" alt="Volume of Geometric Solids through Double Integrals" align="left"/>The goals of this workseet is to calculate the volume of certain geometric solids in 3D space through double integrals and to show the powerful Maple 8 graphics tools to visualize the geometric solids involved in the evaluation of double integrals.1726Thu, 20 Apr 2006 00:00:00 ZProf. David Macias FerrerProf. David Macias Ferrer