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Introduction to Maple Software and its packages.
Typology: Lecture notes
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Multipurpose Applied Physics Lattic Experiment Def: Maple is a computer algebra system primary(mainly) designed for the manipulation of symbolic expressions. OR Maple is a math softwares specifically designed for the manipulation of symbolic expressions. OR Software that performs computations and plots graphs. OR Maple Software refers to a powerful mathematical software package called Maple. It is widely used by mathematicians, engineers, and scientists for various mathematical computations, symbolic calculations, and data visualization. Maple provides a user-friendly interface and a vast array of mathematical functions and tools, making it a valuable tool for solving complex mathematical problems and exploring mathematical concepts. Maple offers a wide range of mathematical functions and algorithms, allowing users to solve equations, perform calculus operations, manipulate algebraic expressions, and work with matrices and vectors. It supports both numerical and symbolic computations, making it suitable for both numerical analysis and theoretical mathematics. Maple also includes a user-friendly interface that allows users to interact with the software through a combination of command-line input and graphical tools. It provides a rich set of visualization capabilities, enabling users to create 2D and 3D plots, animations, and interactive applications. Maple has more than 5000 functions which can be used for solving mathematical problems. HISTORY of MAPLE: ๏ It was first developed in 1980 by the Symbolic Computation Group at the University of Waterloo in Waterloo, Ontario, Canada. ๏ Waterloo Maple Inc. created in 1988 to commercialize the software. ๏ The first graphical user interface (GUI) introduced for Maple version 5 in 1990. ๏ A document mode was added to the UI in version 10 in 2003. ๏ Version 11 (2007) added significantly more mathematical tools. ๏ The latest version is 2023.1. What does Maple do?/ what is the functions of Maple? ๏ A calculator (or a computer with numerical computation software) can do things like evaluating a function at a point. ๏ Software that performs computations and plots graphs. ๏ Solves the Algebraic Equations. ๏ Performs Algebraic operations (+, -, /, Union, Intersections, etc). ๏ Animations.
๏ Solves Differential Equations. ๏ Find indefinite integrals for many functions. ๏ Evaluate many complicated limits. ๏ Find exact solutions for many algebraic equations, including some with arbitrary coefficients. ๏ Perform algebraic operations on polynomials and rational functions. ๏ Plot Graphs of Functions of one or two variables. ๏ Solve many classes of differential equations and many more tasks. ๏ Many built-in functions and packages for doing a wide variety of mathematical tasks. DATA TYPES IN MAPLE PROGRAMMING Def: A data type or simply type is an attribute of data which tells the computer or interpreter how the programmer intends to use the data. ๏ Maple has 33 basic data types. ๏ These are: โ*โ, โ+โ, โ-โ, โ<โ, โ<=โ, โ<>โ, โ=โ, โ^โ, expseq, float, fraction, interger, list, set, string and symbol. The remaining basic data types are the three logical data types: โandโ, โorโ and โnotโ, evaluated dotted and indexed names, series, uneval and โ::โ. Two more basic data types are: table and array. ๏ Four new data types introduced in Maple are Array, Matrix, Vector[column] and Vector[row].
๏ To start Maple in Standard mode click on the Blue Leave Maple icon. ๏ This will open the Maple window: ๏ To start working just click on the icon โNew Worksheetโ
๏ต WORKSHEET MODE - The Worksheet mode is designed for:
1. Interactive use through Maple commands, which may offer advanced functionality or customized control not available using context menus or other syntax-free methods 2. Programmatic use of the powerful Maple language. Using either mode, you can create high quality interactive mathematical presentations or documents.
A horizontal bar at the top of a window, bearing the name of the program and typically the name of the currently active document. MENU BAR: A horizontal bar, typically located at the top of the screen below the title bar, containing drop-down menus. Use the mouse to point and click to open the different menus. TOOL BAR: The toolbar, also called bar or standard toolbar , is a row of buttons, (in a program with a graphical user interface). A toolbar often provides quick access to functions commonly performed in the program. FILE MENU: This is the File menu From the File Menu you can create a new Maple file, open an existing file, save and print your work. You must bring your own portable drive (i.e. pen drive or flash drive) to the lab in order to save your work. To save your work you will click on Save from the File Menu above. The Save Menu will pop up. Form the Save Menu you should select your drive and then type a name for your worksheet in the File name field. The file extension .mw identifies your file as a Maple worksheet. You should save your work often so that you will not lose too much of it in case the computer crashes.
This is the Save Menu: โข This is the context bar (which changes depending on which input mode you are) โข The font & style bar is shown below This is the status bar By default Maple will display its command prompt: And you will see the blinking cursor just to the right of it. Maple expects you to enter a command. Anything you type will be displayed in black and it will be interpreted as a Maple command or mathematics.
The Context Menu package provides tools to control and customize the Maple context-sensitive menus. When you select a Maple expression, in the Context Panel a menu appears with a customized set of actions that can be performed on the expression. This is a context-sensitive list. You can select a listed action and the associated command is invoked on the selected object(s). NOTE: It is very important for you to remember the following three things: Maple is a case-sensitive language; lower-case letters and upper-case letters are distinct. 1). Every command in Maple must end with a semicolon [;]. The semicolon assures that the computer will execute your instruction. To execute your instructions you must press the Enter key. 2). Maple is case sensitive. For example, x is not the same as X because Maple distinguishes between upper case and lower case letters, and it will take them as being two different variables. 3). Always type Maple commands in lower case. โMaple behaves like a text editor and you can always go back to fix mistakes or to make changes by moving the mouse and clicking over the place where you would like to make the change. โYou can also use the arrow keys to move the cursor around. Once you make the change, press the Enter โkey to re-execute the instruction (if needed). It is not necessary to move the cursor to the end of the line. Note: With some exceptions, avoid using blank spaces when typing commands or instructions in Maple. Your instruction cannot be executed properly. ***********************************