Classroom Demos:
Tangents for a function of variables
Rectangular coordinates of a point
Basic 3D Math- a review of vector operations
Line in space determined by two points
Position and direction vectors for a line
Parametric and symmetric equations of a line
Writing the equation of a plane
Animation of parameterized line
Vector form of line in the plane
Cross product applet from the Syracuse University Physics Department
Line swept out as the values of a vector-valued function
Circular helix given by a vector - valued function
Knotted curve given by a vector - valued function
Graphing applet written by Professor Leathrum at Jacksonville State University
Elliptical helix in space with a point on it
Animation to illustrate the limiting process involved in the definition of the derivative
The derivative vector that results from the above two animations
The derivative of the elliptical helix as another vector-valued function.
Tangent vector at a point on curve
Derivative of a vector - valued function
Derivative of the curve that sweeps out the trefoil knot
Two animations of area computations in polar coordinates
( courtesy of Professor Lou Talman, Metropolitan State College of Denver)
( one courtesy of Professor Selwyn Hollis, Armstrong Atlantic State University and five courtesy of Professor John Putz, Alma College)
Mathematical notebook for parameterized surface
( some courtesy of Professor John Putz, Alma College)
Various graphs related to questions of extrema including:
a graph with two critical points
Two animations
Directional derivatives and the gradient
( courtesy of Professor John Putz, Alma College)
Directional derivatives and gradient
( courtesy of Professor John Putz, Alma College)
Limit of Riemann sums of double integral
Limit of Riemann sums of double integral
Numerous animations to illustrate interacted integration
Applet to illustrate area conversion
Area conversion applet courtesy of Professor Leathrum at Jacksonville State University
Figures to illustrate the computation of surface area
Figures to illustrate the computation of surface area
Solids to illustrate triple integration
Solids to illustrate triple integration
Solids to illustrate triple integration using spherical coordinates
Vector fields for the Problem of the Day
Surface whose area can be calculated as a path integral
Maple assignment on 3dplots and contourplots
Maple assignment on page 911, exercise 8
Maple assignment on page 911, exercise 11
Maple assignment on page 912, exercise 45
