/**********************************************************************

This subdirectory contains all the fnorse demo that were
used to teach: *
Third Semester Honors Calculus *
These are only the fnorse demos, none of the handouts, etc from the
course are included. * **********************************************************************/

INDEX */

* 4d

Represents f(x,y,z) as a cube of points with the value of f(x,y,z) at each point mapped to color. Allows removal of points outside of a selected range of values. Also supports slices of the cube.

* levels4

USES: levels4.alg4d, levels4.funct4
Computes levels surfaces for f(x,y,z) = const. Computation is slow, but can handle the resulting surface at normal speeds.

* chain

The chain rule for taking the derivative of

f(t) = f(x(t),y(t))
with respect to t.

cheb

The Chebychev polynomials of order (n) = slider

cubic

z = f(x,y) with two constants (a,b; connected to sliders) over a rectangular domain.

direction

Direction derivative of z=f(x,y) at Xo,Yo in the direction ang. (Control panel well coded in fnorse)

partial

Color z=f(x,y) based on the sign of fx * fy. Points where 2 white and 2 red patches meet are criticle points (in general)

partial2

Color z=f(x,y) based on -delta < abs(fx)+abs(fy) < delta Gives white dots around most criticle points for appropriate deltas. Provides one constant c = slider.

polar

z = f(r,theta) with two constants a,b = sliders

* solid1, etc

These are used to visualize the dx & dy slices through a solid when some integration dxdy or dydx is being done. The sliders allow you to move the x and y slices through the solid, so you can observe how their shapes change as their positions change.

surface

Basic z=f(x,y) display.
Function & domain editable
Toggles: Axes, Z-plane, solid surface

surface2

z=f(x,y) with two constants, a &b = sliders. Function & domain editable
Toggles: Axes, Z-plane, solid surface

airfrance

USES: af.conecurves, af.intris, af.outris, af.tetra Demonstrates the decomposition of the airfrance cup (aka the convex hull of a circle and a polygon in parallel planes) into simple geometric solids.

def.funct2

include this to get a general control panel for f(x,y) and all its nice ammenities.

test.funct2

Shows how to use def.funct2 include file.

dxdy

demo to show the domain for integrals of the form

            b_     _d(y)
            /     /
            |     |  f(x,y)  dx dy
           _/    _/
            a     c(y)

dxdy

demo to show the domain for integrals of the form

            b_     _d(x)
            /     /
            |     |  f(x,y)  dy dx
           _/    _/
            a     c(x)

dxdydz

demo to show the domain (3D) for integrals of the form

            b_     _d(z) _n(y,z)
            /     /     /
            |     |     | f(x,y,z)  dx dy dz
           _/    _/    _/
            a     c(z)  m(y,z)

change.uv

change of variable demo.
Define a domain (for dudv integral) then map it through x = x(u,v), y = y(u,v)
u & v colorings are available.

change.vu

change of variable demo.
Define a domain (for dvdu integral) then map it through x = x(u,v), y = y(u,v)
u & v colorings are available.

taylor

demo of 0<=n<=4 taylor series approximations of f(x,y) -> R
Slider for n (order of taylor polynomial) Typeins for (Xo,Yo) and standard inputs for a 2D function Displays R(x,y) - the remainder (diff T(x,y)-f(x,y) )

Warning: breaks if you use a power operator less than n.

        type out xxx instead of x**3, where 
        x/y**k, k <= n. If k > n, you're ok. That is a fnord
        bug.