The purpose of this guide is to give a quick introduction on how to use Maple. It primarily covers Maple 12, although most of the guide will work with earlier versions of Maple. Also, throughout this guide, we will be suggesting tips and diagnosing common problems that users are likely to encounter. This should make the learning process smoother.
This guide is designed as a self-study tutorial to learn Maple. Our emphasis is on getting you quickly ?up to speed.? This guide can also be used as a supplement (or reference) for students taking a mathematics (or science) course that requires use of Maple, such as Calculus, Multivariable Calculus, Advanced Calculus, Linear Algebra, Discrete Mathematics, Modeling, or Statistics.
Table of Contents:
Part I Basic Maple Commands
Chapter 1 Running Maple 1
Computer Systems
A Quick Tour
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 2 Maple Input Modes 12
2-D Input Mode
1-D Input Mode
Comparison of 1-D and 2-D Input Modes
Useful Tips
Troubleshooting Q & A
Chapter 3 Calculator Features 19
Simple Arithmetic
Output Styles
Built-in Constants and Functions
Error Messages
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 4 Variables and Functions 27
Variables
Functions
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 5 Computer Algebra 34
Working with Polynomials and Powers
Working with Rational, Functions
Working with Trigonometric and Hyperbolic Functions
Useful Tips
Troubleshooting Q & A
Chapter 6 Working with Equations 39
Equations and Their Solutions
Numerical Solutions for Equations
Guiding fsolve with a Range
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 7 Sets, Lists, and Sequences 48
Lists and Sets
Sequences
More Examples
Troubleshooting Q & A
Chapter 8 Getting Help and Loading Packages 52
Getting Help
Packages
Useful Tips
Part II Drawing Pictures in Maple
Chapter 9 Making 2-D Pictures 55
Drawing the Graph of a Function
More Options with the plot Command
More Advanced Drawings
Annotating a Plot with Text and Drawings
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 10 Plotting Parametric Curves, Line Segments, and Points 64
Parametric Curves
Plotting Line Segments and Polygonal Paths
Plotting Multiple Curves in One Plot
Useful Tips
Troubleshooting Q & A
Chapter 11 Polar and Implicit Plots 69
Plotting in Polar Coordinates
Plotting Graphs of Equations
Useful Tips
Troubleshooting Q & A
Part III Maple for One Variable Calculus
Chapter 12 Limits and Derivatives 74
Limits
Differentiation
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 13 Integration 81
Antidifferentiation
Definite Integration
Numeric Integration
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 14 Series and Taylor Series 88
Series
Taylor Series
More Examples
Troubleshooting Q & A
Chapter 15 Analyzing Differential Equations 95
Symbolic Solution of ODE
Numeric Solutions of ODE
Graphical Analysis of ODE
Systems of Ordinary ODE
More Examples
Useful Tips
Troubleshooting Q & A
Part IV Maple for Multivariable Calculus
Chapter 16 Making Graphs in Space 103
Graphing Functions of Two Variables
Specifying Options
Surfaces in Cylindrical and Spherical Coordinates
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 17 Level Curves and Level Surfaces 111
Level Curves in the Plane
Level Surfaces in Space
More Examples
Troubleshooting Q & A
Chapter 18 Partial Differentiation and Multiple Integration 117
Partial Derivatives
Double and Triple Integrals
More Examples
Useful Tips
Troubleshooting Q & A
Part V Maple for Linear Algebra and Vector Calculus
Chapter 19 Matrices and Vectors 125
Matrices
Vectors
Some Useful Matrix Commands
More Examples
Useful Tips
Troubleshooting Q & A
Chapter 20 Parametric Curves and Surfaces in Space 132
Parametric Curves in Space
Parametric Surfaces in Space
Plotting Multiple Curves and Surfaces
Shading, Coloring, and Transparency
More Examples
Troubleshooting Q & A
Chapter 21 Vector Fields 139
Drawing a Vector Field
Vector Fields in Different Coordinate Systems
Gradient, Curl, and Divergence
Line and Flux Integrals
More Examples
Useful Tips
Troubleshooting Q & A
Part VI Using Maple in Statistics
Chapter 22 Basic Statistics on a Data Sample 150
Numerical Measures of Data
Visualizing a Data Set
Probability Distributions
More Examples
Useful Tips
Chapter 23 Curve Fitting 156
Graphical Presentation of Data
Regression
Interpolation
More Examples
Useful Tips
Troubleshooting Q & A
Part VII Advanced Features of Maple
Chapter 24 Animation 165
Getting Started
Advanced Examples
Useful Tips
Troubleshooting Q & A
Chapter 25 More About Lists 171
List Basics
Useful List Commands
More Examples
Useful Tips
Chapter 26 Random Numbers and Simulation 180
Random Numbers
Examples in Simulation
Other Distributions
Useful Tips
Troubleshooting Q & A
Chapter 27 Maple for Programmers 189
Elements of Traditional Programming Languages
Recursive Structures in Maple
Viewing the Code of Maple Procedures
File I/O
Translating Maple into Other Programming Languages
Appendices and Index
A Learning Calculus with Maple 199
Maple Resources on the WWW
The Student [Calculus1] Package
B Quick Reference Guide 203
Mathematical Operations, Constants, and Functions
Symbols and Abbreviations
Some Frequently Used Commands
Index 205
