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used to create the derivative of a function ................................................................. 53
(3) unapply
fsolve....................................................................................................................................................... 54
solve
variables which are "equations" M equations in M unknowns ............................................. 54
Two meanings of _Z : (1) dummy in RootOf; (2) "any integer" .................................................... 55
dsolve
solving differential equations................................................................................................. 56
rsolve
solving difference equations (recursion equations)............................................................... 66
sum and add product and mul ............................................................................................................. 67
Integration
int Int............................................................................................................................ 67
Differentiation diff Diff D ............................................................................................................ 70
piecewise and periodic functions ............................................................................................................ 73
Integral and Series Transforms ............................................................................................................... 74
dchange
doing PDE work with coordinate transformations ............................................................ 75
series
series expansions about a point.............................................................................................. 75
Differential Operators: curl diverge grad laplacian vector Laplacian..................................... 76
MATRIX/VECTOR RELATED MATH FUNCTIONS/OPERATIONS.................................................. 79
table......................................................................................................................................................... 79
array ........................................................................................................................................................ 80
matrix
"matrix vectors" evalm...................................................................................................... 85
The zero matrix and the identity matrix in evaluation ........................................................................ 87
Stand-alone zero matrix and identity matrix....................................................................................... 88
Creating a matrix from a function f(i,j)............................................................................................... 88
Creating a matrix from a function f(i,j) using inert operators............................................................. 89
Displaying a Matrix: Unexpected Behaviors. .................................................................................... 90
Maple vectors
convert....................................................................................................................... 91
Displaying a Maple vector: Unexpected Behaviors........................................................................... 94
Preliminary comments on the linalg package ......................................................................................... 95
grad
transpose .................................................................................................................................... 96
row col transpose inverse det diag .... .................................................................................. 97
Speed of matrix inversion. .................................................................................................................. 98
linear algebra using matrices eigenvectors eigenvalues linsolve........................................................ 99
PLOTTING ............................................................................................................................................... 100
plot .................................................................................................................................................... 100
spacecurve: A 3D parametric plot..................................................................................................... 103
plot3d ................................................................................................................................................ 103
gradplot ............................................................................................................................................. 104
gradplot3d ......................................................................................................................................... 105
fieldplot3D ........................................................................................................................................ 105
fieldplot ............................................................................................................................................. 106
logplot ............................................................................................................................................... 106
loglogplot .......................................................................................................................................... 106
semilogplot........................................................................................................................................ 106
histogram........................................................................................................................................... 106
pointplot ............................................................................................................................................ 106
listplot ............................................................................................................................................... 108
animate.............................................................................................................................................. 108
Overlaying multiple plots: lists, PLOT, display() and gridlines ....................................................... 109
PROCEDURES AND PROGRAMMING................................................................................................ 114
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