These are Maple Release 4 files for use in the computer
classroom to explain mathematical comcepts. To download a
file RIGHT CLICK the file name and choose Save Link Target As.
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.
Please send comments to rakesh@udel.edu .