Maple is math software that combines the world's most powerful math engine with an interface that makes it extremely easy to analyze, explore, visualize, and solve mathematical problems.

1. INTRODUCTION
What is Maple?
Maple is math software that combines the world's most powerful math engine with an interface that makes it extremely easy to analyze,
explore, visualize, and solve mathematical problems.
Solve math problems easily and accurately, without worrying that you've lost a minus sign somewhere
Solve math problems quickly that you could never do by hand (or that you wouldn't want to do by hand because life is too short!)
Solve problems from virtually any branch of mathematics or field that relies on mathematics, such as calculus, algebra, differential
equations, statistics, control design, linear algebra, physics, optimization, group theory, differential geometry, signal processing,
special functions, number theory, financial modeling, etc. etc.
Gain insight into your problem, solution, data, or concept using a huge variety of customizable 2-D and 3-D plots and animations
Keep problems, solutions, visualizations, and explanations all together in a single, easy-to-follow document, so you don't have to
waste time reconstructing your thought processes
Develop complex solutions using a sophisticated programming language designed for mathematics, so your code is shorter, easier
to write, easier to debug, and easier to maintain
Create interactive applications for yourself, your students, or your colleagues, without having to be an expert programmer, and share
them over the web

2. FEATURES
Maple 2021
Released: 2021
Key new and improved features in Maple 2021:Mathematics engine
Streamlined workflow in Document Mode
Study guides for Calculus, Precalculus, Multivariate Calculus
Student ODE package
Tools for developing Maple Learn content
Signal Processing
Export to LaTeX
Explore all new features of Maple 2021
ODEs/PDEs
Graph Theory
Improved experience for new users
Tools for teaching and learning linear algebra
Signal processing
Programming tools
Printing and exporting

3. COMPARISON
Maple programming language C programming language
1) Maple is specialized for doing mathematics
and symbolic computation.
1) C is generally designed for numeric computation. It can take a lot of
time and effort to write a C program to do symbolic computation.
2) It is easy to produce charts and graphs with
Maple
2) It can take a lot of work to produce graphs with C programs
3) Maple programs can't be moved around to so
many places.
3) C is available in more places than Maple is available. If you write a
program in C, it's usually not too difficult to move your program to
another computer system.
4) Maple is comparatively more complex and slow 4) There are large libraries of already-written C code that you can use
in your own programs.
Well-written programs in C can often solve problems more quickly than
Maple can. This is because you can ``tune'' the C program for the
problem, much as you can tune an engine for top performance.

4. DATA TYPES IN MAPLE PROGRAMMING
 A data type or simply type is an attribute of data which tells the compiler or interpreter how
the programmer intends to use the data.
 Maple has 33 basic data types .
 These `*` , `+` , `..` , `<` , `<=` , `<>` , `=` , `^` , expseq, float, fraction, function, integer, list,
set, string, and symbol. The remaining basic data types are the three logical data types `and`, `or`,
and `not`, unevaluated dotted and indexed names, series, uneval and `::`. Two more basic data
types are, table and array. Four new data types introduced in Maple
are Array, Matrix, Vector[column], and Vector[row] .

5. ARRAYS AND LIST DECLARATION
 ARRAY
 An array is a specialization of a table, with zero or more specified dimensions, where each
dimension is an integer range. The result of executing the array function is to create an array.
 For example, V := array(1..10) creates a one dimensional array of length 10 but with no explicit
entries. The command A := array(1..m, 1..n) (where m and n evaluate to positive integers) creates a
two dimensional array with m rows and n columns.
 Arrays have special evaluation rules (like procedures) so that if the name A has been assigned an
array then A evaluates to the name A and eval(A) yields the actual array structure.
 List
 A list is an ordered sequence of expressions enclosed in square brackets [].
 To create a List containing arbitrary data, call newList to create an empty List of the
specified length. The elements of the expression sequences are then assigned by
calling assign.
 Create a list using the seq command  L≔[seq (x[i], i=1..4)]

6. DISADVANTAGES OF MAPLE
Can be very slow and not always easy to resolve it when it freezes
Does not emphasise procedural programming paradigm well, hence not a good first language to learn
Has a lot of ready made functions which does not encourage you write your codes from scratch. Having said
that, its always necessary to write codes from scratch but it is an important part of programming.
Its not free
Not great for data analysis (treats data like a list of lists).

7. MAJOR PROJECTS MADE IN MAPLE
The Maple engine is used within several other products
from Maplesoft:
Moebius, DigitalEd’s online testing suite, uses Maple to algorithmically generate
questions and grade student responses.
MapleNet allows users to create JSP pages and Java Applets. MapleNet 12 and
above also allow users to upload and work with Maple worksheets containing
interactive components.
MapleSim, an engineering simulation tool.
Maple Quantum Chemistry Package from RDMChem computes and visualizes
the electronic energies and properties of molecules.

8. LISTED BELOW ARE THIRD-PARTY COMMERCIAL PRODUCTS
THAT NO LONGER USE THE MAPLE ENGINE:
o Versions of Mathcad released between 1994 and 2006
included a Maple-derived algebra engine (MKM,
aka Mathsoft Kernel Maple), though subsequent versions
use MuPAD.
o Symbolic Math Toolbox in MATLAB contained a portion
of the Maple 10 engine, but now uses MuPAD (starting
with MATLAB R2007b+ release).
o Older versions of the mathematical editor Scientific
Workplace included Maple as a computational engine,
though current versions include MuPAD.