Joanna Ellis-Monaghan: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=324
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemMon, 29 Nov 2021 12:41:19 GMTMon, 29 Nov 2021 12:41:19 GMTNew applications published by Joanna Ellis-Monaghanhttps://www.maplesoft.com/images/Application_center_hp.jpgJoanna Ellis-Monaghan: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=324
Railcar with Pendulum Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4426&ref=Feed
This Maplet plots solutions to the differential equation (1+M*(sin(y))^2)/(1+M))*y"+(sin(y)*(1+(M*(y')^2*cos(y))/(1+M)))=0, as well as the phase portraits. Here M is the ratio M2/M1, and y is a function of t, the natural frequency of the pedulum times time: sqrt(g/l)*time. y is the angular deviation from vertical of the pendulum.<img src="https://www.maplesoft.com/view.aspx?si=4426//applications/images/app_image_blank_lg.jpg" alt="Railcar with Pendulum Maplet" style="max-width: 25%;" align="left"/>This Maplet plots solutions to the differential equation (1+M*(sin(y))^2)/(1+M))*y"+(sin(y)*(1+(M*(y')^2*cos(y))/(1+M)))=0, as well as the phase portraits. Here M is the ratio M2/M1, and y is a function of t, the natural frequency of the pedulum times time: sqrt(g/l)*time. y is the angular deviation from vertical of the pendulum.https://www.maplesoft.com/applications/view.aspx?SID=4426&ref=FeedFri, 12 Sep 2003 16:36:02 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanOsculating Circle Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4425&ref=Feed
This Maplet plots a parameterized space curve together with its osculating circle (the circle that best approximates the curve at the point of tangency) at a time t. The osculating circle lies in the plane determined by the tangent and normal to the curve, its radius is 1/curvature, and the line from the center of the circle to the point of tangency to the curve is parallel to the normal vector. The space curve has three coordinate functions of time: F(t), G(t), and H(t). The endpoints of the desired time interval are entered in the text boxes, and the time t when the osculating circle is computed is adjusted with the slider. Sliders may be moved with the mouse or changed incremetally by selecting with the mouse and then using the arrow keys. The textboxes under Time of Tangency are output only. Various buttons on the menu bar change the appearance of the plot.<img src="https://www.maplesoft.com/view.aspx?si=4425//applications/images/app_image_blank_lg.jpg" alt="Osculating Circle Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a parameterized space curve together with its osculating circle (the circle that best approximates the curve at the point of tangency) at a time t. The osculating circle lies in the plane determined by the tangent and normal to the curve, its radius is 1/curvature, and the line from the center of the circle to the point of tangency to the curve is parallel to the normal vector. The space curve has three coordinate functions of time: F(t), G(t), and H(t). The endpoints of the desired time interval are entered in the text boxes, and the time t when the osculating circle is computed is adjusted with the slider. Sliders may be moved with the mouse or changed incremetally by selecting with the mouse and then using the arrow keys. The textboxes under Time of Tangency are output only. Various buttons on the menu bar change the appearance of the plot.https://www.maplesoft.com/applications/view.aspx?SID=4425&ref=FeedFri, 12 Sep 2003 16:33:39 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanMultiple Level Curves Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4424&ref=Feed
This Maplet plots a surface given by a function of two variables, together with a choice of level curves. A 2D plot of the level curves appears below the surface plot. There are three choices (the radio buttons) of ways to input the level curves:
1. A single value which must be enclosed in square brackets, e.g. [13.5]. This plots a single level curve at this height.
2. An integer N, without brackets, e.g. 10. This plots N level curves at heights evenly spaced between the min and max of the function on the chosen domain.
3. A list of values enclosed in square brackets, e.g. [5, 10, 17, 30]. This plots a level curve at each of the listed heights.
After choosing the radio button, enter the value(s), and then either hit enter while the cursor is in the Level Curves textbox or click the "plot surface and level curves" button.
To adjust the x and y range of the graph, change the values on the right hand side of the Maplet that say "x domain" and "y domain". The zoom factor lets you quickly zoom in and out of the selected view. Slider bars on the plot window adjust the viewing angle. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Various buttons on the menu bar change the appearance of the plot.<img src="https://www.maplesoft.com/view.aspx?si=4424//applications/images/app_image_blank_lg.jpg" alt="Multiple Level Curves Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a surface given by a function of two variables, together with a choice of level curves. A 2D plot of the level curves appears below the surface plot. There are three choices (the radio buttons) of ways to input the level curves:
1. A single value which must be enclosed in square brackets, e.g. [13.5]. This plots a single level curve at this height.
2. An integer N, without brackets, e.g. 10. This plots N level curves at heights evenly spaced between the min and max of the function on the chosen domain.
3. A list of values enclosed in square brackets, e.g. [5, 10, 17, 30]. This plots a level curve at each of the listed heights.
After choosing the radio button, enter the value(s), and then either hit enter while the cursor is in the Level Curves textbox or click the "plot surface and level curves" button.
To adjust the x and y range of the graph, change the values on the right hand side of the Maplet that say "x domain" and "y domain". The zoom factor lets you quickly zoom in and out of the selected view. Slider bars on the plot window adjust the viewing angle. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Various buttons on the menu bar change the appearance of the plot.https://www.maplesoft.com/applications/view.aspx?SID=4424&ref=FeedFri, 12 Sep 2003 16:32:13 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanLogistic Growth Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4423&ref=Feed
This Maplet plots a logistic growth function of the form y(t) = M/(1 + B*exp(-M*k*t)), where M is the carrying capacity, k is the growth constant (if k>0, decay if k<0), and B =(M-y0)/y0, where y0 is the initial amount. y(t) satisfies the differential equation y' = k*y*(M - y). This models restricted growth, where the rate of growth is proportional to the amount times how close the amount is to the carrying capacity of the system.
There are two plotting options. Option 1 lets you directly enter the parameters M, B, and k. Option 2 lets you enter a list of data points, an estimate for M, and then a choice of two data points (eg the 2nd and 5th points), which the Maplet will then use to solve for B and k. The values of M, B, and k appear below the plot. There is a slider to the left of the plot which moves a horizontal line on the plot. This slider may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Enter and plot the data points, then use this slider to approximated the carrying capacity based on the data points. Then enter this value for M (note that moving the slider does NOT change the value for M--this value must be entered manually in the appropriate text box). Finally choose two data points to solve for B and k. Experiment with choices of M, and choices of data points, plotting the function together with all the data points, until you seem to have a good fit.
In Option 2, it is important that the data points be entered as a list of pairs in brackets (the bracketted pairs are the data points), e.g [[0, 1.5], [2, 4.24], [2.8, 9.5]].<img src="https://www.maplesoft.com/view.aspx?si=4423//applications/images/app_image_blank_lg.jpg" alt="Logistic Growth Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a logistic growth function of the form y(t) = M/(1 + B*exp(-M*k*t)), where M is the carrying capacity, k is the growth constant (if k>0, decay if k<0), and B =(M-y0)/y0, where y0 is the initial amount. y(t) satisfies the differential equation y' = k*y*(M - y). This models restricted growth, where the rate of growth is proportional to the amount times how close the amount is to the carrying capacity of the system.
There are two plotting options. Option 1 lets you directly enter the parameters M, B, and k. Option 2 lets you enter a list of data points, an estimate for M, and then a choice of two data points (eg the 2nd and 5th points), which the Maplet will then use to solve for B and k. The values of M, B, and k appear below the plot. There is a slider to the left of the plot which moves a horizontal line on the plot. This slider may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Enter and plot the data points, then use this slider to approximated the carrying capacity based on the data points. Then enter this value for M (note that moving the slider does NOT change the value for M--this value must be entered manually in the appropriate text box). Finally choose two data points to solve for B and k. Experiment with choices of M, and choices of data points, plotting the function together with all the data points, until you seem to have a good fit.
In Option 2, it is important that the data points be entered as a list of pairs in brackets (the bracketted pairs are the data points), e.g [[0, 1.5], [2, 4.24], [2.8, 9.5]].https://www.maplesoft.com/applications/view.aspx?SID=4423&ref=FeedFri, 12 Sep 2003 16:30:49 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanLimited Growth Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4422&ref=Feed
This Maplet plots a limited growth function of the form y(t) = M*(1 - exp(-k*t)), where M is the carrying capacity, and k is the growth constant. It satisfies the differential equation y' = k*(M - y). This models unrestricted growth, where the rate of growth is proportional to how close the amount is to the carrying capacity of the system.
There are two plotting options. Option 1 lets you directly enter the carrying capacity, M, and the growth constant k. Option 2 lets you enter a list of data points, an estimate for M, and then choose one of the points (eg the 2nd point), which the Maplet will then use to solve for k. The values of M and k appear below the plot. There is a slider to the left of the plot which moves a horizontal line on the plot. This slider may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Enter and plot the data points, then use this slider to approximated the carrying capacity based on the data points. Then enter this value for M (note that moving the slider does NOT change the value for M--this value must be entered in the appropriate text box). Finally chose a representative data point to solve for k. Experiment with choices of M and data points, plotting the function together with all the data points, until you seem to have a good fit.
In Option 2, it is important that the data points be entered as a list of pairs in brackets (the bracketed pairs are the data points), e.g [[0, 1.5], [2, 4.24], [2.8, 9.5]].
The two check boxes under the plot toggle the function and data points on and off. This only works if Option 2 is selected.<img src="https://www.maplesoft.com/view.aspx?si=4422//applications/images/app_image_blank_lg.jpg" alt="Limited Growth Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a limited growth function of the form y(t) = M*(1 - exp(-k*t)), where M is the carrying capacity, and k is the growth constant. It satisfies the differential equation y' = k*(M - y). This models unrestricted growth, where the rate of growth is proportional to how close the amount is to the carrying capacity of the system.
There are two plotting options. Option 1 lets you directly enter the carrying capacity, M, and the growth constant k. Option 2 lets you enter a list of data points, an estimate for M, and then choose one of the points (eg the 2nd point), which the Maplet will then use to solve for k. The values of M and k appear below the plot. There is a slider to the left of the plot which moves a horizontal line on the plot. This slider may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Enter and plot the data points, then use this slider to approximated the carrying capacity based on the data points. Then enter this value for M (note that moving the slider does NOT change the value for M--this value must be entered in the appropriate text box). Finally chose a representative data point to solve for k. Experiment with choices of M and data points, plotting the function together with all the data points, until you seem to have a good fit.
In Option 2, it is important that the data points be entered as a list of pairs in brackets (the bracketed pairs are the data points), e.g [[0, 1.5], [2, 4.24], [2.8, 9.5]].
The two check boxes under the plot toggle the function and data points on and off. This only works if Option 2 is selected.https://www.maplesoft.com/applications/view.aspx?SID=4422&ref=FeedFri, 12 Sep 2003 16:29:30 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanLevel Curve Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4421&ref=Feed
This Maplet plots a surface given by a function of two variables, together with a level curve at height z. A 2D plot of the level curve appears below the surface plot. The height of the level curve may be adjusted using the yellow slider to the left of the plot.To adjust the x and y range of the graph, change the values on the right hand side of the Maplet that say "x domain" and "y domain" The zoom factor lets you quickly zoom in and out of the selected view. Slider bars on the plot window adjust the viewing angle. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Various buttons on the menu bar change the appearance of the plot.<img src="https://www.maplesoft.com/view.aspx?si=4421//applications/images/app_image_blank_lg.jpg" alt="Level Curve Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a surface given by a function of two variables, together with a level curve at height z. A 2D plot of the level curve appears below the surface plot. The height of the level curve may be adjusted using the yellow slider to the left of the plot.To adjust the x and y range of the graph, change the values on the right hand side of the Maplet that say "x domain" and "y domain" The zoom factor lets you quickly zoom in and out of the selected view. Slider bars on the plot window adjust the viewing angle. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Various buttons on the menu bar change the appearance of the plot.https://www.maplesoft.com/applications/view.aspx?SID=4421&ref=FeedFri, 12 Sep 2003 16:28:07 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanHyperboloid of Two Sheets with Traces Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4420&ref=Feed
This Maplet plots a hyperboloid of two sheets with parameters a, b, and c, together with traces and planes through the traces. Plots of the individual traces appear to the right of the hyperboloid plot. The parameters a, b, and c are chosen using the sliders. Moving the sliders re-draws the plots. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Trace values must be entered in the textboxes below the individual plots, and the plot button clicked to redraw the plots. The maximum height value determines how much of the hyperbola is shown. The trace values must each be within the plot shown or an error is generated. Slider bars on the plot window adjust the viewing angle. Checkboxes below the hyperboloid plot toggle the traces and planes on and off.<img src="https://www.maplesoft.com/view.aspx?si=4420//applications/images/app_image_blank_lg.jpg" alt="Hyperboloid of Two Sheets with Traces Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a hyperboloid of two sheets with parameters a, b, and c, together with traces and planes through the traces. Plots of the individual traces appear to the right of the hyperboloid plot. The parameters a, b, and c are chosen using the sliders. Moving the sliders re-draws the plots. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Trace values must be entered in the textboxes below the individual plots, and the plot button clicked to redraw the plots. The maximum height value determines how much of the hyperbola is shown. The trace values must each be within the plot shown or an error is generated. Slider bars on the plot window adjust the viewing angle. Checkboxes below the hyperboloid plot toggle the traces and planes on and off.https://www.maplesoft.com/applications/view.aspx?SID=4420&ref=FeedFri, 12 Sep 2003 16:21:28 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanHyperboloid of One Sheet with Traces Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4419&ref=Feed
This Maplet plots a hyperboloid of one sheet together with its x, y, and z traces.<img src="https://www.maplesoft.com/view.aspx?si=4419//applications/images/app_image_blank_lg.jpg" alt="Hyperboloid of One Sheet with Traces Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a hyperboloid of one sheet together with its x, y, and z traces.https://www.maplesoft.com/applications/view.aspx?SID=4419&ref=FeedFri, 12 Sep 2003 16:15:25 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanFrenet (TNB) Frame Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4418&ref=Feed
This Maplet plots a parameterized space curve together with its Frenet Frame (the tangent, normal, and binormal vectors) at a time t. The tangent is colored blue, the normal is colored black, and the binormal is colored red. The space curve has three coordinate functions of time: F(t), G(t), and H(t). The endpoints of the desired time interval are entered in the text boxes, and the time t where the Frenet frame is computed is adjusted with the slider. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. The textboxes under Frame Point are output only. Slider bars on the plot window adjust the viewing angle. Various buttons on the menu bar change the appearance of the plot.<img src="https://www.maplesoft.com/view.aspx?si=4418//applications/images/app_image_blank_lg.jpg" alt="Frenet (TNB) Frame Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a parameterized space curve together with its Frenet Frame (the tangent, normal, and binormal vectors) at a time t. The tangent is colored blue, the normal is colored black, and the binormal is colored red. The space curve has three coordinate functions of time: F(t), G(t), and H(t). The endpoints of the desired time interval are entered in the text boxes, and the time t where the Frenet frame is computed is adjusted with the slider. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. The textboxes under Frame Point are output only. Slider bars on the plot window adjust the viewing angle. Various buttons on the menu bar change the appearance of the plot.https://www.maplesoft.com/applications/view.aspx?SID=4418&ref=FeedFri, 12 Sep 2003 16:13:28 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanFamilies of Surfaces Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4417&ref=Feed
This Maplet plots a surface given by a function of two variables, x and y, and up to three parameters a, b, and c. The effect of the parameters on the shape of the surface may be explored by adjusting the parameters with the sliders.
The domain of the function may be changed by adjusting the x and y ranges on the right hand side of the Maplet. The zoom factor lets you quickly zoom in and out of the selected view. Slider bars on the plot window adjust the viewing angle. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Various buttons on the menu bar change the appearance of the plot.<img src="https://www.maplesoft.com/view.aspx?si=4417//applications/images/app_image_blank_lg.jpg" alt="Families of Surfaces Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a surface given by a function of two variables, x and y, and up to three parameters a, b, and c. The effect of the parameters on the shape of the surface may be explored by adjusting the parameters with the sliders.
The domain of the function may be changed by adjusting the x and y ranges on the right hand side of the Maplet. The zoom factor lets you quickly zoom in and out of the selected view. Slider bars on the plot window adjust the viewing angle. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Various buttons on the menu bar change the appearance of the plot.https://www.maplesoft.com/applications/view.aspx?SID=4417&ref=FeedFri, 12 Sep 2003 16:09:11 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanExponential Growth Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4416&ref=Feed
This Maplet plots an exponential function of the form f(t) = C*exp(k*t), which is a solution to the differential equation y' = k* y. This models unrestricted growth (if k>0, or decay if k<0), where the rate of growth is proportional to the amount present.
There are two plotting options. Option 1 lets you directly enter the initial value C and the growth (or decay) constant k. Option 2 lets you enter a list of data points, and then choose two of the points (eg the 2nd and the 5th), which the Maplet will then use to solve for C and k. The values of C and k appear below the plot.
In Option 2, it is important that the data points be entered as a list of pairs in brackets (the bracketed pairs are the data points), e.g [[0, 1.5], [2, 4.24], [2.8, 9.5]].
The two check boxes under the plot toggle the function and data points on and off. This only works if Option 2 is selected.<img src="https://www.maplesoft.com/view.aspx?si=4416//applications/images/app_image_blank_lg.jpg" alt="Exponential Growth Maplet" style="max-width: 25%;" align="left"/>This Maplet plots an exponential function of the form f(t) = C*exp(k*t), which is a solution to the differential equation y' = k* y. This models unrestricted growth (if k>0, or decay if k<0), where the rate of growth is proportional to the amount present.
There are two plotting options. Option 1 lets you directly enter the initial value C and the growth (or decay) constant k. Option 2 lets you enter a list of data points, and then choose two of the points (eg the 2nd and the 5th), which the Maplet will then use to solve for C and k. The values of C and k appear below the plot.
In Option 2, it is important that the data points be entered as a list of pairs in brackets (the bracketed pairs are the data points), e.g [[0, 1.5], [2, 4.24], [2.8, 9.5]].
The two check boxes under the plot toggle the function and data points on and off. This only works if Option 2 is selected.https://www.maplesoft.com/applications/view.aspx?SID=4416&ref=FeedFri, 12 Sep 2003 16:07:19 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanEllipsoid with Traces maplet
https://www.maplesoft.com/applications/view.aspx?SID=4415&ref=Feed
This Maplet plots an Ellipsoid with parameters a, b, and c, together with traces and planes through the traces. Plots of the individual traces appear to the right of the Ellipsoid plot. The parameters a, b, and c are chosen using the sliders. Moving the sliders re-draws the plots. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Trace values must be entered in the textboxes below the individual plots, and the plot button clicked to redraw the plots. The trace values must each be strictly less than the corresponding parameter values or the trace plots will be empty. Slider bars on the plot window adjust the viewing angle. Checkboxes below the ellipsoid plot toggle the traces and planes on and off. Various buttons on the menu bar change the appearance of the plot.<img src="https://www.maplesoft.com/view.aspx?si=4415//applications/images/app_image_blank_lg.jpg" alt="Ellipsoid with Traces maplet" style="max-width: 25%;" align="left"/>This Maplet plots an Ellipsoid with parameters a, b, and c, together with traces and planes through the traces. Plots of the individual traces appear to the right of the Ellipsoid plot. The parameters a, b, and c are chosen using the sliders. Moving the sliders re-draws the plots. Sliders may be moved with the mouse or changed incrementally by selecting with the mouse and then using the arrow keys. Trace values must be entered in the textboxes below the individual plots, and the plot button clicked to redraw the plots. The trace values must each be strictly less than the corresponding parameter values or the trace plots will be empty. Slider bars on the plot window adjust the viewing angle. Checkboxes below the ellipsoid plot toggle the traces and planes on and off. Various buttons on the menu bar change the appearance of the plot.https://www.maplesoft.com/applications/view.aspx?SID=4415&ref=FeedFri, 12 Sep 2003 16:05:42 ZJoanna Ellis-MonaghanJoanna Ellis-MonaghanCone with Traces Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4414&ref=Feed
This Maplet plots a cone with parameters a, b, and c, together with traces and planes through the traces. Plots of the individual traces appear to the right of the cone plot. The parameters a, b, and c are chosen using the sliders.<img src="https://www.maplesoft.com/view.aspx?si=4414//applications/images/app_image_blank_lg.jpg" alt="Cone with Traces Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a cone with parameters a, b, and c, together with traces and planes through the traces. Plots of the individual traces appear to the right of the cone plot. The parameters a, b, and c are chosen using the sliders.https://www.maplesoft.com/applications/view.aspx?SID=4414&ref=FeedFri, 12 Sep 2003 16:03:50 ZJoanna Ellis-MonaghanJoanna Ellis-Monaghan3D Vector Field Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4413&ref=Feed
Given coordinate functions P,Q, and R (as functions of x, y, and z), this Maplet plots the 3D vector field. View lets you set the x, y, and z ranges for the plot window. Grid size controls the number arrows that appear in the plot. The zoom factor lets you quickly zoom in and out of the selected view.<img src="https://www.maplesoft.com/view.aspx?si=4413//applications/images/app_image_blank_lg.jpg" alt="3D Vector Field Maplet" style="max-width: 25%;" align="left"/>Given coordinate functions P,Q, and R (as functions of x, y, and z), this Maplet plots the 3D vector field. View lets you set the x, y, and z ranges for the plot window. Grid size controls the number arrows that appear in the plot. The zoom factor lets you quickly zoom in and out of the selected view.https://www.maplesoft.com/applications/view.aspx?SID=4413&ref=FeedFri, 12 Sep 2003 16:01:36 ZJoanna Ellis-MonaghanJoanna Ellis-Monaghan3D Surface Plotter Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4412&ref=Feed
This Maplet plots a surface given by a function of two variables. A variety of plot options may be chosen to best illustrate the properties of the surface.<img src="https://www.maplesoft.com/view.aspx?si=4412//applications/images/app_image_blank_lg.jpg" alt="3D Surface Plotter Maplet" style="max-width: 25%;" align="left"/>This Maplet plots a surface given by a function of two variables. A variety of plot options may be chosen to best illustrate the properties of the surface.https://www.maplesoft.com/applications/view.aspx?SID=4412&ref=FeedFri, 12 Sep 2003 15:59:07 ZJoanna Ellis-MonaghanJoanna Ellis-Monaghan3D Gradient Vector Field Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4411&ref=Feed
Given a function F(x,y,z), this Maplet plots the 3D gradient vector field <Fx,Fy,Fz>, together with the level surface F(x,y,z)=W. The partial derivatives Fx, Fy, and Fz are displayed below the plot.<img src="https://www.maplesoft.com/view.aspx?si=4411//applications/images/app_image_blank_lg.jpg" alt="3D Gradient Vector Field Maplet" style="max-width: 25%;" align="left"/>Given a function F(x,y,z), this Maplet plots the 3D gradient vector field <Fx,Fy,Fz>, together with the level surface F(x,y,z)=W. The partial derivatives Fx, Fy, and Fz are displayed below the plot.https://www.maplesoft.com/applications/view.aspx?SID=4411&ref=FeedFri, 12 Sep 2003 15:57:24 ZJoanna Ellis-MonaghanJoanna Ellis-Monaghan2D Vector Field Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4410&ref=Feed
Given coordinate functions P and Q (as functions of x and y), this Maplet plots the 2D vector field.<img src="https://www.maplesoft.com/view.aspx?si=4410//applications/images/app_image_blank_lg.jpg" alt="2D Vector Field Maplet" style="max-width: 25%;" align="left"/>Given coordinate functions P and Q (as functions of x and y), this Maplet plots the 2D vector field.https://www.maplesoft.com/applications/view.aspx?SID=4410&ref=FeedFri, 12 Sep 2003 15:54:42 ZJoanna Ellis-MonaghanJoanna Ellis-Monaghan2D Gradient Vector Field Maplet
https://www.maplesoft.com/applications/view.aspx?SID=4409&ref=Feed
Given a function F(x,y), this Maplet plots the 2D gradient vector field <Fx,Fy>, together with a selected set of contours. The partial derivatives Fx and Fy are displayed below the plot.<img src="https://www.maplesoft.com/view.aspx?si=4409//applications/images/app_image_blank_lg.jpg" alt="2D Gradient Vector Field Maplet" style="max-width: 25%;" align="left"/>Given a function F(x,y), this Maplet plots the 2D gradient vector field <Fx,Fy>, together with a selected set of contours. The partial derivatives Fx and Fy are displayed below the plot.https://www.maplesoft.com/applications/view.aspx?SID=4409&ref=FeedFri, 12 Sep 2003 15:51:21 ZJoanna Ellis-MonaghanJoanna Ellis-Monaghan