Symbolic Math Toolbox 5 Perform mathematics using symbolic computation and variable-precision arithmetic Symbolic Math Toolbox™ provides tools for solving and manipulating symbolic math expressions and performing vari- able-precision arithmetic. The toolbox contains hundreds of MATLAB® symbolic functions that leverage the MuPAD® engine for tasks such as differentiation, integration, simplification, transforms, and equation solving. Symbolic Math Toolbox also includes the MuPAD language, which is optimized for handling and operating on symbolic math expressions. It provides libraries of MuPAD functions in common mathematical areas, such as calculus and linear algebra, as well as specialized areas, such as number theory and combinatorics. You can extend the built-in functionality by writing custom symbolic functions and libraries in the MuPAD language. All functions can be accessed from the MATLAB command line or from the MuPAD notebook interface, where you can manage and document your symbolic computations. Working with Symbolic Math Toolbox Symbolic Math Toolbox provides a complete set of tools for symbolic computing that augments the numeric capabilities of MATLAB. The toolbox includes extensive symbolic functionality that you can access directly from the MATLAB command line or from the MuPAD notebook interface. You can extend the functionality available in the toolbox by writing custom symbolic functions or libraries in the MuPAD language. In addition to performing symbolic math operations, the toolbox provides variable-precision arithmetic functions for computations that require exact control over numeric accuracy. You can evaluate numeric operations to any number of digits. Key features ■ MATLAB symbolic functions for differentiation, integration, simplification, transforms, and equation solving ■ Variable-precision arithmetic capabilities ■ MuPAD language for operating on symbolic math expressions ■ MuPAD libraries covering common mathematical areas, such as calculus and linear algebra, and specialized areas, such as number theory and combinatorics ■ Functions for converting symbolic expressions to MATLAB, C, Fortran, MathML, and TeX ■ MuPAD notebook interface with embedded text, graphics, and typeset math for documenting and managing computations performed with the MuPAD language ■ MuPAD editor and debugger for writing custom symbolic functions and libraries A surface generated from a symbolic equation. Visualization functions let you plot your symbolic expressions directly from the MATLAB command line. Accelerating the pace of engineering and science 

MuPAD notebook that analyzes the Gibbs phenomenon of a periodic step function. MuPAD notebooks let you perform and document symbolic computations. MATLAB workspace, enabling you to merge the work that you do in each environment. Programming in the MuPAD Language Symbolic Math Toolbox provides an editor, a debugger, and other programming utilities for authoring custom symbolic functions and libraries in the MuPAD language. The MuPAD language supports multiple program- ming styles, including imperative, functional, and object-oriented programming. The lan- guage treats variables as symbolic by default, and it is optimized for handling and operating on symbolic math expressions. Required Products MATLAB® Related Products Curve Fitting Toolbox™ Create curve fits and regression models of data Optimization Toolbox™ Solve standard and large-scale optimization problems Statistics Toolbox™ Perform statistical analysis, modeling, and algorithm development Platform and System Requirements For platform and system requirements, visit www.mathworks.com/products/symbolic ■ Learn More www.mathworks.com/products /symbolic Resources visit www.mathworks.com technical support www.mathworks.com/support online user community www.mathworks.com/matlabcentral Demos www.mathworks.com/demos training services www.mathworks.com/training thirD-party proDucts anD services www.mathworks.com/connections MuPAD procedure for rotating a vector in three dimensions. The MuPAD language is optimized for handling and operating on symbolic math expressions. WorlDWiDe contacts www.mathworks.com/contact e-mail info@mathworks.com Performing Symbolic Computations from MATLAB Symbolic Math Toolbox lets you perform symbolic computations from the MATLAB command line by defining symbolic math expressions and operating on them. Functions are called using the familiar MATLAB syntax and are available for a wide range of tasks, including differentia- tion, integration, simplification, transforms, and equation solving. From MATLAB you can also execute statements written in the MuPAD language, which lets you fully access the functionality in the MuPAD libraries that are included in the toolbox. Working in the MuPAD Notebook Interface The MuPAD notebook interface provides an interactive environment for performing symbolic computations using the MuPAD language. It includes a symbol palette for accessing common MuPAD functions, and all results are displayed in typeset math that can be converted into MathML and TeX. You can embed graphics, animations, and descriptive text within your notebook to help manage and document your work. Symbolic Math Toolbox provides functions for sharing symbolic variables and expres- sions between MuPAD notebooks and the Accelerating the pace of engineering and science © 2008 the MathWorks, Inc. MatLaB and simulink are registered trademarks of the MathWorks, Inc. see www.mathworks.com/trademarks for a list of additional trademarks. Other product or brand names may be trademarks or registered trademarks of their respective holders. 9412V03 10/08