Getting Started with Maple / Edition 3

by Douglas B. Meade, Michael May, C-K. Cheung, G. E. Keough

Overview

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.

Product Details

ISBN-13:	9780470455548
Publisher:	Wiley
Publication date:	03/23/2009
Edition description:	3rd ed.
Pages:	224
Product dimensions:	7.90(w) x 9.90(h) x 0.40(d)

About the Author

Douglas B. Meade and Michael May are the authors of Getting Started with Maple, 3rd Edition, published by Wiley.

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