Jason Schattman: New Applications
http://www.maplesoft.com/applications/author.aspx?mid=60
en-us2014 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemFri, 22 Aug 2014 06:00:21 GMTFri, 22 Aug 2014 06:00:21 GMTNew applications published by Jason Schattmanhttp://www.mapleprimes.com/images/mapleapps.gifJason Schattman: New Applications
http://www.maplesoft.com/applications/author.aspx?mid=60
Why is the Minimum Payment on a Credit Card So Low?
http://www.maplesoft.com/applications/view.aspx?SID=6647&ref=Feed
On a monthly credit card balance of $1000, a typical credit card company will only ask for a minimum payment of $20. Why do credit card companies do that? Let's see if Maple can lead us to some insights.<img src="/view.aspx?si=6647/thumb.gif" alt="Why is the Minimum Payment on a Credit Card So Low?" align="left"/>On a monthly credit card balance of $1000, a typical credit card company will only ask for a minimum payment of $20. Why do credit card companies do that? Let's see if Maple can lead us to some insights.6647Wed, 10 Sep 2008 00:00:00 ZJason SchattmanJason SchattmanOptimal Speed of an 18-Wheeler
http://www.maplesoft.com/applications/view.aspx?SID=6573&ref=Feed
Derives the optimal cruising speed of an 18-wheeler given the price of diesel, the weight of the truck, the distance of the delivery route, and the monetary value of the cargo. Makes use of a study by Goodyear on the fuel economy of 18-wheelers vs. speed and weight. Uses many features new to Maple 12, including code regions, filled 3-D plots, and rotary gauges. At the end, you can turn dials to set the parameters and watch a "speedometer" (a rotary gauge) display the optimal speed under those settings.<img src="/view.aspx?si=6573/thumb.jpg" alt="Optimal Speed of an 18-Wheeler" align="left"/>Derives the optimal cruising speed of an 18-wheeler given the price of diesel, the weight of the truck, the distance of the delivery route, and the monetary value of the cargo. Makes use of a study by Goodyear on the fuel economy of 18-wheelers vs. speed and weight. Uses many features new to Maple 12, including code regions, filled 3-D plots, and rotary gauges. At the end, you can turn dials to set the parameters and watch a "speedometer" (a rotary gauge) display the optimal speed under those settings.6573Tue, 26 Aug 2008 00:00:00 ZJason SchattmanJason SchattmanVisualizing the Intersection of Three Surfaces
http://www.maplesoft.com/applications/view.aspx?SID=6574&ref=Feed
Provides the student with a command-free environment to enter the equations of three planes (or surfaces) and view their intersection in 3-D.<img src="/view.aspx?si=6574/thumb.gif" alt="Visualizing the Intersection of Three Surfaces" align="left"/>Provides the student with a command-free environment to enter the equations of three planes (or surfaces) and view their intersection in 3-D.6574Tue, 26 Aug 2008 00:00:00 ZJason SchattmanJason SchattmanGraphing interface for A sin(Bx + C) + D
http://www.maplesoft.com/applications/view.aspx?SID=6575&ref=Feed
Provides the student with a command-free environment to experiment with the graph of the sine function in all its glory. Includes sliders for A, B, C, D and radio buttons for selecting radians or degrees. The embedded plot component automatically labels the x-axis in multiples of either Pi/2 or 90 degrees.<img src="/view.aspx?si=6575/1.jpg" alt="Graphing interface for A sin(Bx + C) + D" align="left"/>Provides the student with a command-free environment to experiment with the graph of the sine function in all its glory. Includes sliders for A, B, C, D and radio buttons for selecting radians or degrees. The embedded plot component automatically labels the x-axis in multiples of either Pi/2 or 90 degrees.6575Tue, 26 Aug 2008 00:00:00 ZJason SchattmanJason SchattmanVector Addition in 2-D
http://www.maplesoft.com/applications/view.aspx?SID=6576&ref=Feed
Graphics and animations showing students the geometry of vector addition in 2-D<img src="/view.aspx?si=6576/thumb.gif" alt="Vector Addition in 2-D" align="left"/>Graphics and animations showing students the geometry of vector addition in 2-D6576Tue, 26 Aug 2008 00:00:00 ZJason SchattmanJason SchattmanVector Addition in 3-D
http://www.maplesoft.com/applications/view.aspx?SID=6577&ref=Feed
Graphics and animations showing students the geometry of vector addition in 3-D.<img src="/view.aspx?si=6577/thumb.gif" alt="Vector Addition in 3-D" align="left"/>Graphics and animations showing students the geometry of vector addition in 3-D.6577Tue, 26 Aug 2008 00:00:00 ZJason SchattmanJason SchattmanCan a Square Roll?
http://www.maplesoft.com/applications/view.aspx?SID=6322&ref=Feed
Can a square wheel roll as smoothly as a round one? It can if you give it the right road to roll on! In this exploration, we'll figure out what such a road would have to look like, both mathematically and visually. We'll then drive the point home, as it were, with an animation.
The square wheel problem is the Renaissance Man of calculus problems. It weaves together the concepts of arc length, periodic functions, derivatives, numerical integration, the fundamental theorem of calculus and differential equations in an elegant tapestry of mathematical technique. The star of tonight's performance will be the world renowned inverted catenary.
<b>Note:</b> There are some features in this application that are new to Maple 12 and will not work in older versions. To see the Maple 11 version, <a href="http://www.maplesoft.com/applications/app_center_view.aspx?AID=2178" class="plainlink">follow this link</a>.<img src="/view.aspx?si=6322/thumb.png" alt="Can a Square Roll?" align="left"/>Can a square wheel roll as smoothly as a round one? It can if you give it the right road to roll on! In this exploration, we'll figure out what such a road would have to look like, both mathematically and visually. We'll then drive the point home, as it were, with an animation.
The square wheel problem is the Renaissance Man of calculus problems. It weaves together the concepts of arc length, periodic functions, derivatives, numerical integration, the fundamental theorem of calculus and differential equations in an elegant tapestry of mathematical technique. The star of tonight's performance will be the world renowned inverted catenary.
<b>Note:</b> There are some features in this application that are new to Maple 12 and will not work in older versions. To see the Maple 11 version, <a href="http://www.maplesoft.com/applications/app_center_view.aspx?AID=2178" class="plainlink">follow this link</a>.6322Wed, 28 May 2008 00:00:00 ZJason SchattmanJason SchattmanPendulums Coupled by a Spring
http://www.maplesoft.com/applications/view.aspx?SID=4405&ref=Feed
We model the motion of two identical pendulums swinging in parallel planes, attached by a spring. We describe the motion by the pendulums' angles of deflection over time.
We assume that the pendulums swing in the x-z plane, their hinges are d units apart on the y-axis, they have unit length and unit mass, and their mass is concentrated at the ends. Pendulum 1 swings about the origin, and pendulum 2 swings about the point (0, d , 0). We assume the spring has natural length d .<img src="/view.aspx?si=4405/pendulums.gif" alt="Pendulums Coupled by a Spring" align="left"/>We model the motion of two identical pendulums swinging in parallel planes, attached by a spring. We describe the motion by the pendulums' angles of deflection over time.
We assume that the pendulums swing in the x-z plane, their hinges are d units apart on the y-axis, they have unit length and unit mass, and their mass is concentrated at the ends. Pendulum 1 swings about the origin, and pendulum 2 swings about the point (0, d , 0). We assume the spring has natural length d .4405Thu, 07 Aug 2003 16:48:49 ZJason SchattmanJason SchattmanArea of an Eclipse
http://www.maplesoft.com/applications/view.aspx?SID=4343&ref=Feed
During an eclipse of one planet by another, how does the visible area of the eclipsed planet change, as viewed from earth? We seek the answer in terms of the apparent radii of the planets, r and R , and the apparent distance d between the centers.<img src="/view.aspx?si=4343//applications/images/app_image_blank_lg.jpg" alt="Area of an Eclipse" align="left"/>During an eclipse of one planet by another, how does the visible area of the eclipsed planet change, as viewed from earth? We seek the answer in terms of the apparent radii of the planets, r and R , and the apparent distance d between the centers.4343Fri, 06 Dec 2002 11:38:39 ZJason SchattmanJason SchattmanOptimization tutorial: Maplets for three classic optimization problems from calculus
http://www.maplesoft.com/applications/view.aspx?SID=4208&ref=Feed
This collection of maplets is designed to give students taking Calculus 1 an intuitive understanding of three classic optimization problems:
1. Given a parabola with real roots, find the rectangle between the parabola and the x-axis that has maximal area.
2. Given a function f(x) and a point P, find the point on the graph of f(x) closest to P.
3. Given a right triangle of fixed hypotenuse, find the cone of maximal volume formed by sweeping the triangle in a circle about its vertical side.
In each maplet, the student enters the givens of the problem into a text area. He or she can then experiment with the values of the decision variables, trying to get closer to the optimum by trial and error. He or she can then click a button telling the maplet to show the optimal solution.<img src="/view.aspx?si=4208//applications/images/app_image_blank_lg.jpg" alt="Optimization tutorial: Maplets for three classic optimization problems from calculus" align="left"/>This collection of maplets is designed to give students taking Calculus 1 an intuitive understanding of three classic optimization problems:
1. Given a parabola with real roots, find the rectangle between the parabola and the x-axis that has maximal area.
2. Given a function f(x) and a point P, find the point on the graph of f(x) closest to P.
3. Given a right triangle of fixed hypotenuse, find the cone of maximal volume formed by sweeping the triangle in a circle about its vertical side.
In each maplet, the student enters the givens of the problem into a text area. He or she can then experiment with the values of the decision variables, trying to get closer to the optimum by trial and error. He or she can then click a button telling the maplet to show the optimal solution.4208Thu, 24 Jan 2002 10:46:16 ZJason SchattmanJason SchattmanProjecting a Curve to a 3-D surface
http://www.maplesoft.com/applications/view.aspx?SID=3704&ref=Feed
A powerful classroom demonstration for multivariable calculus or vector calculus, illustrating a parametric curve projected to a two-variable function f(x,y)<img src="/view.aspx?si=3704/curve.gif" alt="Projecting a Curve to a 3-D surface" align="left"/>A powerful classroom demonstration for multivariable calculus or vector calculus, illustrating a parametric curve projected to a two-variable function f(x,y)3704Tue, 19 Jun 2001 00:00:00 ZJason SchattmanJason SchattmanRolling Ellipse
http://www.maplesoft.com/applications/view.aspx?SID=3612&ref=Feed
Consider an ellipse rolling counterclockwise along the x-axes with constant angular velocity. We derive the equations of motion and generate an animation of this situation.<img src="/view.aspx?si=3612/rolling.gif" alt="Rolling Ellipse" align="left"/>Consider an ellipse rolling counterclockwise along the x-axes with constant angular velocity. We derive the equations of motion and generate an animation of this situation.3612Mon, 18 Jun 2001 00:00:00 ZJason SchattmanJason SchattmanPlotting 6-Pole spheres
http://www.maplesoft.com/applications/view.aspx?SID=3614&ref=Feed
The sphere command in Maple plots 2-pole spheres by drawing longitudinal great circles and latitudinal small circles. We show how to plot 6-pole spheres using great circles<img src="/view.aspx?si=3614/circles.gif" alt="Plotting 6-Pole spheres" align="left"/>The sphere command in Maple plots 2-pole spheres by drawing longitudinal great circles and latitudinal small circles. We show how to plot 6-pole spheres using great circles3614Mon, 18 Jun 2001 00:00:00 ZJason SchattmanJason SchattmanAnimation of a cycloid
http://www.maplesoft.com/applications/view.aspx?SID=3615&ref=Feed
A cycloid is the path followed by a point on a disk that rolls on a flat surface at uniform speed. We derive the parametric formula for the cycloid and produce an animation of the system.<img src="/view.aspx?si=3615/cycloid.gif" alt="Animation of a cycloid" align="left"/>A cycloid is the path followed by a point on a disk that rolls on a flat surface at uniform speed. We derive the parametric formula for the cycloid and produce an animation of the system.3615Mon, 18 Jun 2001 00:00:00 ZJason SchattmanJason Schattman