Analysis:

asym
determines oblique asymptote of a real valued function in one indeterminate.

arclen
arc length of a realvalued function or a space curve on a specified
interval.
 Arclen (new in math v 3.1)
inert version of math/arclen.

cartprod
interface to combinat/cartprod.

convert/explicit
converts a 2dimensional parametric function to an explicit function.

cont
checks continuity of a function at a point.

curvature
curvature of a realvalued function.

diffquot and diffquotfn (new in math v 3.5)
determine the difference quotient.

domain
determines the domain of a realvalued function.

domainx (new in math v 3.3)
determines the domain of a realvalued function including discontinuities.

END
determines extrema at points where a function is not differentiable.
 ex (new in math 3.03)
combines the results of math/extrema and math/END.

extrema
computes extreme values of a function in one real.

fnull
evaluates all real solutions of any algebraic expression or equation
in one indeterminate on a specified interval.

inflection
computes inflection points of a function in one real.

interpol (new in math 3.2)
interpolates a polynom.

isCont
checks for continuity of a function at a point.

isDiff
checks whether a function is differentiable at a point.

jump (new in math v 3.5)
determines jump discontinuities.

lineangle
angle between two curves in the plane.

mean
linear and quadratic mean of a realvalued function on a specified
interval.

nondiff
determines points of a function that are not differentiable.

normale
normal line at a specified point of a real valued function.

pole (new in math v 3.5)
returns the poles of a function in one real.

PSconv
convergence of power series.

removable (new in math v 3.5)
finds removables of a realvalued function.

rotation
determines volume, area, and center of bodies of rotation.

singularity
determines points of a realvalued function that are not defined.

slopefn
slope of a realvalued function at a point.

symmetry
evaluates the kind of symmetry of a realvalued function.

tangente
determines tangent lines and tangent planes.
Linear Algebra:

dim (new in math 3.2)
creates special matrices and arrays.

isDependent (new in math v 3.4)
checks whether column vectors are dependent.

isDiagonal, isIdentity, isSymmetric, isAntiSymmetric, isQuadratic (new in math 3.2)
check for specific types of matrices.

isEqual (new in math 3.2)
evaluates whether two matrices or two vectors are equal.

isFilled (new in math 3.2)
checks whether all elements in a vector/list are of a specific value.

mainDiagonal (new in math 3.2)
returns the main diagonal of a square matrix.

mat
simplified matrix definition (like in MATLAB).

redefdim
redefines dimension(s) of an array or a matrix.
 reduce (new in math v 3.1)
reduces a system of linear equations using Gaussian elemination.

V
simplified vector definition.
Graphics:

cartgridR3
plots a grid.
 colplot (new in math v 3.4)
draws column diagrams.

curveplot
plots a real valued function along with its tangent and/or normal line(s).

gridplot
plots the graph of one or more functions with cartesian 'graph paper'.

interpolplot (new in math 3.2)
plots basic points and the graph of the generating polynom.
 pointgridR3 (new in math v 3.1)
plots a grid of points.

seqplot
plots a sequence.
Numerical tools:
 cancel (new in math v 3.1)
deletes real and complex numbers very close to zero from an expression.
 convert/euro (new in math v 3.6)
converts a currency to the Euro or to another currency.

cutzeros
cuts off trailing zeros from a float.
 dec & inc (new in math v 3.1)
increase or decrease the value of a variable.

deg & rad
convert degrees to radians and vice versa.

getreals
returns those values that are real but not complex.
 realsort (new in math v 3.03)
sorts real numbers (thus including irrational values).
 recseq (new in math v 3.1)
Recursive iteration of a sequence.

rootof
tries to solve RootOf expressions explicitly.

roundf (new in math v 3.2)
rounds a real value to the nth digit.
 seqby (new in math v 3.1)
works like seq but accepts step sizes.

slice (new in math v 3.2)
cuts floats after the nth fractional digit.

_Zval
returns explicit values from an expression containing _Zn's.
Algebraic tools:

convert/range
converts a relation or a RealRange expression into a Maple range.

convert/RealRange
converts a relation or a range into a RealRange expression.
 fnvals (new in math v 3.1)
creates a value table of a function.

getindets
returns all names in an expression that are not constants.

inter
determines intersection between two ranges or RealRanges.
 makepoly (new in math v 3.1)
generates a polynom from a list of coefficients or a set of solutions.

names (new in math v 3.4)
returns all names in an expression sequence that are not constants.
 sortsols (new in math v 3.1)
sorts solutions.

print/vector
prints vectors either vertically or horizontally.

printtree (new in math v 3.3)
prints 2dimensional structure of a tree.

rangemembers
returns all the elements that lie within an interval.

retrieve
selects expressions from a list or set with subsexpressions to be included
or not included.

seqnest (new in math v 3.2)
creates a list of lists (which may contain further lists).

sortranges (new in math v 3.3)
sorts ranges in numerical ascending order.

split (new in math v 3.2)
splits a list of lists.

tree (new in math v 3.3)
converts an algebraic expression to an expression tree.

un
simplified unapply function.

unique (new in math v 3.3)
applies set operations without changing the order of elements.
Types:

type/cmplx
checks for a complex value that is not a real value.

type/elemental
checks whether an expression is of type realcons, type name or type
string.

type/irrational
checks for irrational constants.

type/mathfn
checks for a mathematical function.

type/Open
checks for the Open property.

type/real
checks for real constants.

type/RealRange
checks for a RealRange expression.
Utilities:

load
reads both Maple Library and Share Library functions.

prop (new in math v 3.4)
returns the property of an object.

setdef
sets defaults for various math functions.

showdef
shows values of packagespecific global variables.
Author: Alexander F. Walz, alexander.f.walz@tonline.de
Original file location: http://www.math.utsa.edu/mirrors/maple/mplmcon.htm