These are Maple Release 4 files for use in the computer classroom
to explain mathematical comcepts. To download a file SHIFT
LEFT CLICK
the file name (or RIGHT CLICK the file name and choose Save Link Target
As) to save the file.
VECTORS
vector.mws
Shows Maple commands for standard operations on vectors
including differentiation and substitution.
arclength.mw Computes the
length of a curve by approximating it by a piecewise linear curve.
standard-surfaces.mws
Introduces the standard surfaces - cylinder,
cone, ellipsoid, paraboloid.
DIFFERENTIATION
approx2d.mws
Computes the linear approximation of a function of two
variables and shows the error and the percentage error in the
approximation over different neighbourhoods of the expansion point.
critical-pts.mws
Shows critical points need not be local max or
local min.
maxmin.mws
Motivates visually the method for optimizing functions
over bounded regions.
lagrange.mw
Motivates the method of lagrange multipliers by
studying a constrained
optimistaion problem using contours.
mixed-lagrange.mw An
optimization example which requires unconstrained optimization
(critical points) as well as constrained optimization (Lagrange
multipliers).
MULTIPLE INTEGRATION
suminteg.mws
Approximates the mass of a non-rectangular,
non-uniform plate by subdividing the plate into small squares.
threesurface.mw
Describes how to plot a solid bounded by z=0, z=y, and y=1-x^2.
foursurface.mws
Describes how to plot a solid bounded by z=0, z=3-y, y=x^2 and y=2-x^2.
VECTOR FIELDS
vectorfield.mws
Plots the vector fields (a) water flowing across an
infinite cyl;inder
(b) gravitational field due to a unit mass.
flux-flow.mws
Plots a vector field and a curve and computes the
flux across and the flow along of this vector field across the curve.