## Preface

This tutorial surves as an introduction to the computer algebra system Maple, created by MapleSoft ©. It is made solely for the purpose of education. This tutorial assumes that you have a working knowledge of basic Maple functionality. This includes knowing how to define variables and carry out algebraic manipulations. If you are completely new to Maple, then please go to the introductory tutorial for APMA0330 . The tutorial accompanies the textbook Applied Differential Equations. The Primary Course by Vladimir Dobrushkin, CRC Press, 2015; http://www.crcpress.com/product/isbn/9781439851043. Any comments and/or contributions for this tutorial are welcome; you can send your remarks to Vladimir_Dobrushkin@brown.edu

Usually, the same algorithm can be implemented in many different ways to accomplish the same task. As a result, this tutorial may introduce several different commands (or sets of commands) to do the same thing. It is always good to be aware of these alternate pathways; however, you are encouraged to use the approach that you like best.

Finally, the commands in this tutorial are all written in red text (as Maple input), while Maple output is in blue, which means that the output is in 2D output style. This means that you can copy and paste all commands into Maple, change the parameters and run them. However, it also means that they may not look the same as they would if these codes were typed directly into because Maple has many different styles of input. For example, the following input is in the Maple input style: > (a*b)/c+13*d ${\frac {ab}{c}}+13\,d$

While Maple has many input styles, we will present all commands in red and omit the input prompt. This tutorial corresponds to the Maple “.mw” files. You, as the user, are free to use the .mw files and Maple codes to your needs, and have the rights to distribute this tutorial and refer to this tutorial as long as this tutorial is accredited appropriately.