- #Ti nspire cx cas software 3d graph how to#
- #Ti nspire cx cas software 3d graph plus#
- #Ti nspire cx cas software 3d graph windows#
Some Examples of Parametric 3D Plotting To plot a circular cylinder like The first trig identity can be used: xp1(t, u) = u yp1(t, u) = - 1+ 2cos(t) zp1(t, u) = -2+ 2sin(t) Some Examples of Parametric 3D Plotting The second can also be described in parametric form (replacing x by t and y by u) or we can use the standard editor z1(x, y) = 2x- 3y + 1. Some Examples of Parametric 3D Plotting We will show the graph of the 2 intersecting planes: The first plane can be defined as: xp1(t, u) = t yp1(t, u) = 2 -t zp1(t, u) = u If C = 0, then parametric plotting is used: x can be t, z can be u and y depends on x (t).
If we can solve for z, we can use the “classic” editor “z1(x, y) = ”. Some Examples of Parametric 3D Plotting Planes: the general equation is of the form Ax+ By + Cz= D. But students can learn the basics with the handheld. Of course, 3D plotting is easier on the software version. Why is Parametric 3D Plotting so Important? Parametric 3D plotting is important but students will never master it if they never use it by themselves! This is why, at ETS, we want our students to use computer algebra in the classroom (with their handheld). This shows students the importance of some trig identities, some formulae, some techniques. Why is Parametric 3D Plotting so Important? Parametric 3D plotting is important because: It yields nice graphs! We need to use mathematics in order to get something. One or 2 parameters? A space curve or a surface? Why is Parametric 3D Plotting so Important? For the sphere, the “trick” using “zeros” can be used but the graph won’t be attractive… Since OS 3.2, a new 3D plot type is available: PARAMETRIC. Why is Parametric 3D Plotting so Important? First of all, where do I find the 3D plot window? And what can I plot? How can I plot a surface defined by an equation of the form x = f(y,z) or by an equation of the form y = f(x, z)? How can I plot a circular cylinder? A sphere?
#Ti nspire cx cas software 3d graph how to#
And let’s also show how to plot the implicit curve Let us take a look at this circle: And at this cubic polynomial equation:ĭifferent Objects in the Same 2D Plot Window Let us show, using Nspire CAS, how to plot the circle using different 2D plot windows. Of course, the equation should be solvable for y.ĭifferent Objects in the Same 2D Plot Window Moreover, the “complex” format must be selected. To plot the graph of f(x, y) = 0, use f1(x) = zeros(f(x, y), y). Here is a trick to “fake” implicit 2D plotting in Nspire CAS. When will the distance between them be the smallest? The next slide shows the situation.ĭifferent Objects in the Same 2D Plot Windowĭifferent Objects in the Same 2D Plot Window A word on implicit plotting: it is a must for multiple variable calculus (but probably not so important for college level). Two objects are moving in the plane, with respective given position at time t.
#Ti nspire cx cas software 3d graph windows#
Slider bars, animations, dynamic geometry, styles and colors make each of these 2D plot windows very attractive and useful for teaching mathematics and sciences.ĭifferent Objects in the Same 2D Plot Window Slider bars/animations, dynamic geometryand calculus are now used by teachers for showing many concepts: this was never done before.
#Ti nspire cx cas software 3d graph plus#
All math teachers and students have the same calculator and textbook.Ībout ETS: Our Tools 1999: TI-92 Plus CAS handheld. More than 7000 students, 1700 new students each year. Our students come from college technical programs. Conclusion.Ībout ETS: our Students, our Tools Engineering school in Montréal, Québec, Canada. Why is Parametric 3D Plotting so Important? Some Examples of Parametric 3D Plotting. What’s New with TI-NpsireCAS? Different Objects in the Same 2D Plot Window. Overview About ETS: our students, our tools. USACAS 8 International Conference Philadelphia, PA, USA March 8-10, 2013 Parametric 3D Plotting with TI-Nspire CAS Technology Michel Beaudin ÉTS, Montréal, Canada