Below are some interesting Maple Demos. Click on the "Preview" link to see the applications. Click on the "Worksheet" link if you would like to use the code that would be used in a Maple worksheet.
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13.1 Three-Dimensional Coordinate
Systems
| Description: Coordinate planes (animation),
the first octant, point and its coordinates (animation). |
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13.2 Vectors in 3D
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13.4 The Cross-Product
| Description: Cross-product of two vectors
and the area of their span (animation). |
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13.5 Equations of Lines and
Planes
| Description: Parametric line (animation),
examples of planes, plane and its normal vectors (animation),
plane trough three points (animation), line of intersection
of two planes (animation). |
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14.1 Parametric Curves
| Description: Parametric curves and
their radius-vectors (animations), tangent vectors (animation),
reparametrization (animation) . |
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14.3 TNB-frams and the Osculating
Circle
| Description: TNB-frame, osculating
plane, and osculating circle of a curve (animation) . |
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15.1 Functions of Two Variables:
Graphs, Level Curves, Continuity
| Description: Examples of some simple
graphs of functions of two variables (animation), contour
plots and level curves (animation), examples of surfaces
with and without discontinuities (animation). |
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15.3 Partial Derivatives and
the Tangent Plane
| Description: Tangent Plane to a graph
of z=f(x,y). (animation). |
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15.7 Functions of Two Variables:
Maximum and Minimum Values
| Description: Second Derivative Test,
Standard and Rotated Quadratic Surfaces, General Case. Absolute Minima
and Maxima. |
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15.8 Constrained Optimization:
Lagrange multipliers
| Description: Two examples for Lagrange
multipliers (animation). |
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16.1 Double Integrals over
Rectangles
| Description: Riemann sum approximation
for a double integral (animation). |
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16.2 Iterated Integrals and
Fubini's Theorem
| Description: Calculation of a double
integral using iterated integrals. Fubini's theorem (animation).
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16.7 Triple Integrals. Changing
the Order of Integration
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16.8 Cylindrical and Spherical
Coordinates and Volume Elements for Triple Integrals
| Description: Coordinate grids for cartesian,
cylindrical, and spherical coordinate systems, corresponding volume
elements and their distortion (animation). |
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17.1 Vector Fields
| Description: Examples of two and three-dimensional
vector fields (animation). |
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17.1 "Inverse-square"
Vector Fields
| Description: Gravitational fields of
the 'Earth' and 'Earth and Moon' with some equipotential surfaces
(animation). Planar Electric fields (fields, equipotential
curves, and flowlines) of a single source, two sources moving towards
each other (animation), and a source and a sink moving towards
each other (animation). |
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17.1 "Wind Blow"
| Description: Examples of the (velocity
vector field of the) wind blowing past different obstacles (animation). |
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17.2 Line Integrals
| Description: Line integrals with respect
to arclength, dx, and dy (animation). |
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17.5 Curl
| Description: 2-D vector field with
rotating paddle wheels (animation) and its curl as a 3-D
vector field (animation). |
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17.7 Flux
| Description: Flux of a constant vector
field through an area with a changing angle w.r.t. the field (animation)
and through a closed parabolic surface (animation). |
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