User Guide

4 Mathematical Computations .............................................................. 123
4.1 In This Chapter ............................................................................ 125
4.2 Algebra ........................................................................................ 126
Polynomial Algebra ...................................................................... 126
4.3 Linear Algebra ............................................................................ 135
Creating Matrices and Vectors ...................................................... 135
Accessing Entries in Matrices and Vectors ................................... 144
Linear Algebra Computations ....................................................... 145
Student LinearAlgebra Package .................................................... 152
4.4 Calculus ....................................................................................... 153
Limits ............................................................................................ 153
Differentiation ............................................................................... 155
Series ............................................................................................. 161
Integration ..................................................................................... 163
Differential Equations .................................................................... 166
Calculus Packages ......................................................................... 166
4.5 Optimization ............................................................................... 168
Point-and-Click Interface .............................................................. 169
Large Optimization Problems ....................................................... 171
MPS(X) File Support .................................................................... 173
Additional Information .................................................................. 173
4.6 Statistics ...................................................................................... 173
Probability Distributions and Random Variables .......................... 173
Statistical Computations ................................................................ 175
Plotting .......................................................................................... 177
Additional Information .................................................................. 179
4.7 Teaching and Learning with Maple ............................................ 180
Student Packages and Tutors ........................................................ 181
5 Plots and Animations .......................................................................... 189
5.1 In This Chapter ............................................................................ 189
5.2 Creating Plots .............................................................................. 190
Interactive Plot Builder ................................................................. 191
Context Menu ................................................................................ 204
Dragging to a Plot Region ............................................................. 207
The plot and plot3d Commands .................................................... 208
The plots Package ......................................................................... 211
Contents • v