Author Archives: vandieren
By: Keir Fogarty, Ph.D. In the early 20th century, humankind’s understanding of the world of atoms and subatomic particles underwent a revolution; we went from understanding atoms as something like teeny billiard balls to the abstract concepts of quantum mechanics. … Continue reading
This Washington Post article about the mathematics of taffy pulling is screaming to be turned into a classroom example/activity. And here’s a link to the full mathematical article in the arxiv complete with equations.
On August 7-10, 2016, nine engineers, mathematicians, developers, and educators met at Robert Morris University to develop new CalcPlot3D explorations, to begin importation of explorations to WeBWorK, and to continue research on student understanding of multivariable calculus concepts. The new … Continue reading
I had a great time this morning manning a poster about the CalcPlot3D applet, some of the models that I have made this semester and am using in class, and our initial research on student visual understanding of multivariable calculus concepts … Continue reading
You have probably seen the “Add a Vector Field” option under the Graph menu in CalcPlot3D which allows you to create some nifty three-dimensional vector fields like the one below. But did you know that you can add a parameter … Continue reading
This is a script that I use in class to validate and visualize the results of a 2 step problem which asks students to find a parametric equation representing the intersection of two surfaces: z=x^2+3y^2 and x=y^2 and then to find the tangent … Continue reading
Here are two photos of the 3D model of the parametric surface: x(u,v) = cos(u)*cos(v)+3cos(u)*(1.5+sin(u*5/3)/2) y(u,v) = sin(u)*cos(v)+3sin(u)*(1.5+sin(u*5/3)/2) z(u,v) = sin(v)+2cos(5u/3)
My first attempt at a 3D printed model was finished today. Next time I’ll refine the grid so that the surface isn’t so faceted, but I’m happy with the result. I can’t wait to create more.