A catalogue of class demonstrations
Prof. Blanchard's demos
a hyperboloid of one sheet.
an elliptic paraboloid.
A point in space
Position vector.
A line with two points.
Position and direction vectors for a line
Animation of parameterized line
Vector form of line in the plane
Intersecting Lines
Normal line to a plane
Line as a vector-valued function
Circular helix
Trefoil knot
Graphing applet for 3D parameterized curves
Tangent vector as a limit
Tangent vector as a limit (quicktime)
The tangent vector at the point
Tangent vectors from the derivative
Arc length animation
also available in
quicktime format
Area in polar coordinates
(
Quicktime format
)
(courtesy of Professor Lou Talman, Metropolitan State College of Denver)
Area between two polar curves
(
Quicktime format
)
(once again, courtesy of Professor Lou Talman) "http://math.bu.edu/INDIVIDUAL/paul/225/trefoil_knot_velocity.html"> Velocity along a trefoil knot
Regular old boring plane
Unit sphere
(
Quicktime format
)
(courtesy of Professor Selwyn Hollis, Armstrong Atlantic State University)
Surface of revolution
Elliptic cylinder
a graph where the limit at (0,0) exists
graph of sin(x
2
+y
2
)/(x
2
+y
2
)
a graph where the limit at (0,0) does not exist
graph of 2xy/(x
2
+y
2
)
demos from the
animations
paper of Prof. Putz (Alma College).
The hyperboloid of two sheets and its horizontal traces
The hyperboloid of two sheets and its vertical traces
The hyperboloid of one sheet and its horizontal traces
The hyperboloid of one sheet and its vertical traces
The hyperbolic paraboloid and its horizontal traces
a surface
with its traces, and the resulting
level curves
the level surfaces
of a quadratic function
velocity and acceleration
Directional derivatives and the gradient
vector field applet
vector field applet