Here are some of the many features introduced in Maple 13.
| Math | 
| Differential Equations | Revolutionary techniques for finding solutions to differential equations that are beyond the scope of standard methods. It greatly extended the event-handling abilities for numeric solutions and enhanced the abilities and performance of the high-index DAE solvers. | 
| Polynomial system solving | Extensions to the polynomial systems and root-finding algorithms in Maple 13 provided another approach to determining the parameter conditions under which specified types of solutions exist. This ability is particularly useful in designing control systems. | 
| Graph Theory | The GraphTheory package contains new tools for analyzing and visualizing graphs and their properties, as well as new algorithms, predefined graphs, and more. | 
| Vector Calculus Task Templates | Vector Calculus Task Template enhancements provided new templates and improved notation support to make these notationally challenging problems easier to set up and the results easier to interpret. | 
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| Visualization | 
| 3-D Plot Annotations | Plot annotation support allows you to add additional information to your 3-D plots, making them more meaningful, attractive, and easier to interpret. | 
| Fly-Through Animations | Gain additional insight from your 3-D plots as a virtual camera flies through, over, under, into, and around your surface, letting you focus on points of interest from any angle to understand the trends and behavior of surfaces. | 
| Full Rotational Control of 3D Plots | Manipulate 3-D plots using all three angles of rotation. Plots can be positioned in any manner to highlight points of interest with ease. | 
| Plotting with Units | Create 2-D and 3-D plots of expressions involving units. | 
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  | Documentation | 
  | Step-by-Step Tutorials | New step-by-step tutorials provided a comprehensive overview of important Maple concepts. | 
  | Online help system | Maplesoft Online Help offers all of the help documents that are built into Maple, MapleSim, and select add-on products. | 
  | Database connectivity | Maple 12 allows engineers and scientists to quickly develop and deploy powerful applications that combine large enterprise datasets with the state-of-the-art analysis and visualization tools of Maple. | 
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  | Application Development | 
  | CAD Connectivity: NX (R) | CAD connectivity support was extended from SolidWorks® and Autodesk Inventor® to include NX®. | 
  | Element-wise operations | Element-wise operations for applying functions to all members of a structure provide a powerful and easy way to separate data structure operations from mathematical operations, simplifying application development. | 
  | Multithreaded task programming | A new, simpler multithreaded programming model. | 
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  | Interface | 
  | Point-and-click tools for control system design | Point-and-click access to powerful tools for control systems design. | 
  | Maple Portal | The Maple Portal provides a starting point for hundreds of common tasks. | 
  | Worksheet migration assistant | Easily transform old-style Maple worksheets to the modern format, so that you can take advantage of recent advances in the Maple interface while continuing to benefit from your older content. | 
  | Copy as MathML | Support for the MathML standard was expanded. In addition to command-based conversion tools, Maple 13 added copy-and-paste transfer of information from Maple to other applications that support MathML. | 
  | Export to PDF | Export a Maple worksheet to a Portable Document Format (PDF) file that can be opened in a PDF reader such as Adobe ® Acrobat ®. | 
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  | Education | 
  | Numerical Analysis for students | The Student[NumericalAnalysis] package is designed to support the teaching and learning of numerical analysis. | 
  | Step-by-Step Calculus Tools | The Student[Calculus1] package provided enhanced step-by-step solutions for Calculus problems. | 
  | Complex Variables tutors | New interactive tutors to explore the properties of complex variables. | 
  | Improved equation manipulator | The Equation Manipulator enables you to easily perform mathematical operations on equations through the use of buttons and menus. | 
  | Maple Portal for Math Educators | The Maple Portal provides a starting point for hundreds of common tasks. |