Arthur Belmonte: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=6
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemTue, 19 Oct 2021 14:47:47 GMTTue, 19 Oct 2021 14:47:47 GMTNew applications published by Arthur Belmontehttps://www.maplesoft.com/images/Application_center_hp.jpgArthur Belmonte: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=6
Flux of magnetic fields and gas expansion
https://www.maplesoft.com/applications/view.aspx?SID=4169&ref=Feed
This worksheet shows how to compute surface integrals of vector fields using Maple and the <b>vec_calc</b> package. As examples we compute
* The Flux of a Magnetic Field
* The Expansion of a Gas<img src="https://www.maplesoft.com/view.aspx?si=4169//applications/images/app_image_blank_lg.jpg" alt="Flux of magnetic fields and gas expansion" style="max-width: 25%;" align="left"/>This worksheet shows how to compute surface integrals of vector fields using Maple and the <b>vec_calc</b> package. As examples we compute
* The Flux of a Magnetic Field
* The Expansion of a Gashttps://www.maplesoft.com/applications/view.aspx?SID=4169&ref=FeedWed, 14 Nov 2001 13:35:09 ZArthur BelmonteArthur BelmonteElectric Charge on a Sphere and the Mass of a Rubber Sheet
https://www.maplesoft.com/applications/view.aspx?SID=4168&ref=Feed
This worksheet shows how to compute surface integrals of scalar fields using Maple and the <b>vec_calc</b> package. As examples we compute
* The Net Charge on a Sphere
* The Mass and Center of Mass of a Rubber Sheet<img src="https://www.maplesoft.com/view.aspx?si=4168//applications/images/app_image_blank_lg.jpg" alt="Electric Charge on a Sphere and the Mass of a Rubber Sheet" style="max-width: 25%;" align="left"/>This worksheet shows how to compute surface integrals of scalar fields using Maple and the <b>vec_calc</b> package. As examples we compute
* The Net Charge on a Sphere
* The Mass and Center of Mass of a Rubber Sheethttps://www.maplesoft.com/applications/view.aspx?SID=4168&ref=FeedWed, 14 Nov 2001 13:32:50 ZArthur BelmonteArthur BelmonteWork Done by an Electric Field and Fluid Circulation
https://www.maplesoft.com/applications/view.aspx?SID=4167&ref=Feed
This worksheet shows how to compute line integrals of vector fields using Maple and the <b>vec_calc</b> package. As examples we compute
* The Work Done by an Electric Field
* The Circulation of a Fluid<img src="https://www.maplesoft.com/view.aspx?si=4167//applications/images/app_image_blank_lg.jpg" alt="Work Done by an Electric Field and Fluid Circulation" style="max-width: 25%;" align="left"/>This worksheet shows how to compute line integrals of vector fields using Maple and the <b>vec_calc</b> package. As examples we compute
* The Work Done by an Electric Field
* The Circulation of a Fluidhttps://www.maplesoft.com/applications/view.aspx?SID=4167&ref=FeedWed, 14 Nov 2001 13:28:29 ZArthur BelmonteArthur BelmonteAverage Temperature and Center of Mass of a Wire
https://www.maplesoft.com/applications/view.aspx?SID=4166&ref=Feed
This worksheet shows how to compute line integrals of scalar fields using the <b>vec_calc</b> package. As examples we compute
* The Average Temperature along a Wire
* The Mass and Center of Mass of a Wire<img src="https://www.maplesoft.com/view.aspx?si=4166//applications/images/app_image_blank_lg.jpg" alt="Average Temperature and Center of Mass of a Wire" style="max-width: 25%;" align="left"/>This worksheet shows how to compute line integrals of scalar fields using the <b>vec_calc</b> package. As examples we compute
* The Average Temperature along a Wire
* The Mass and Center of Mass of a Wirehttps://www.maplesoft.com/applications/view.aspx?SID=4166&ref=FeedWed, 14 Nov 2001 13:25:37 ZArthur BelmonteArthur BelmonteVolume of a 4-D sphere
https://www.maplesoft.com/applications/view.aspx?SID=4165&ref=Feed
In this worksheet we will see how to compute multiple integrals using Maple and the <b>vec_calc</b> package. The <b>student</b> package has the commands Doubleint and Tripleint for computing double and triple integrals. The vec_calc package has the command Multipleint, which can compute multiple integrals of any dimension. In addition the multipleint command can display all the intermediate steps. As examples, we will consider problems which
* Compute a 5-Dimensional Integral and Display the Steps
* Interchange the Order of Integration
* Compute an Integral in Curvilinear Coordinates
* Compute the Volume of a 4-Dimensional Sphere<img src="https://www.maplesoft.com/view.aspx?si=4165//applications/images/app_image_blank_lg.jpg" alt="Volume of a 4-D sphere" style="max-width: 25%;" align="left"/>In this worksheet we will see how to compute multiple integrals using Maple and the <b>vec_calc</b> package. The <b>student</b> package has the commands Doubleint and Tripleint for computing double and triple integrals. The vec_calc package has the command Multipleint, which can compute multiple integrals of any dimension. In addition the multipleint command can display all the intermediate steps. As examples, we will consider problems which
* Compute a 5-Dimensional Integral and Display the Steps
* Interchange the Order of Integration
* Compute an Integral in Curvilinear Coordinates
* Compute the Volume of a 4-Dimensional Spherehttps://www.maplesoft.com/applications/view.aspx?SID=4165&ref=FeedWed, 14 Nov 2001 13:23:40 ZArthur BelmonteArthur BelmonteCenters of mass of an apple, a chocolate kiss, and a pie slice
https://www.maplesoft.com/applications/view.aspx?SID=4164&ref=Feed
This worksheet shows how to find the mass and center of mass of 3-dimensional solids using the vec_calc package. As examples we find the mass and center of mass of an apple, a chocolate kiss, and a pie slice<img src="https://www.maplesoft.com/view.aspx?si=4164/centers_of_mass_of_apple_chocolate_kiss_and_pie_slice.gif" alt="Centers of mass of an apple, a chocolate kiss, and a pie slice" style="max-width: 25%;" align="left"/>This worksheet shows how to find the mass and center of mass of 3-dimensional solids using the vec_calc package. As examples we find the mass and center of mass of an apple, a chocolate kiss, and a pie slicehttps://www.maplesoft.com/applications/view.aspx?SID=4164&ref=FeedWed, 14 Nov 2001 13:19:36 ZArthur BelmonteArthur BelmonteSurface integrals of scalar fields
https://www.maplesoft.com/applications/view.aspx?SID=4022&ref=Feed
This worksheet shows how to compute surface integrals of scalar fields using Maple and the vec_calc package. As examples we compute The Net Charge on a Sphere and The Mass and Center of Mass of a Rubber Sheet<img src="https://www.maplesoft.com/view.aspx?si=4022//applications/images/app_image_blank_lg.jpg" alt="Surface integrals of scalar fields" style="max-width: 25%;" align="left"/>This worksheet shows how to compute surface integrals of scalar fields using Maple and the vec_calc package. As examples we compute The Net Charge on a Sphere and The Mass and Center of Mass of a Rubber Sheethttps://www.maplesoft.com/applications/view.aspx?SID=4022&ref=FeedThu, 02 Aug 2001 14:18:01 ZArthur BelmonteArthur BelmonteLine integrals of scalar fields
https://www.maplesoft.com/applications/view.aspx?SID=4020&ref=Feed
This worksheet shows how to compute line integrals of scalar fields using Maple and the vec_calc package. As examples we compute The Average Temperature along a Wire, The Mass and Center of Mass of a Wire<img src="https://www.maplesoft.com/view.aspx?si=4020//applications/images/app_image_blank_lg.jpg" alt="Line integrals of scalar fields" style="max-width: 25%;" align="left"/>This worksheet shows how to compute line integrals of scalar fields using Maple and the vec_calc package. As examples we compute The Average Temperature along a Wire, The Mass and Center of Mass of a Wirehttps://www.maplesoft.com/applications/view.aspx?SID=4020&ref=FeedThu, 02 Aug 2001 14:08:41 ZArthur BelmonteArthur BelmonteFrenet frame of a 3D curve
https://www.maplesoft.com/applications/view.aspx?SID=4019&ref=Feed
In this worksheet we will see how Maple and the vec_calc package can be used to analyse a parametrized curve. Examples include the winding line on a torus and the frenet frame of a curve.<img src="https://www.maplesoft.com/view.aspx?si=4019//applications/images/app_image_blank_lg.jpg" alt="Frenet frame of a 3D curve" style="max-width: 25%;" align="left"/>In this worksheet we will see how Maple and the vec_calc package can be used to analyse a parametrized curve. Examples include the winding line on a torus and the frenet frame of a curve.https://www.maplesoft.com/applications/view.aspx?SID=4019&ref=FeedThu, 02 Aug 2001 14:03:08 ZArthur BelmonteArthur Belmonte