Get Started with Symbolic Math Toolbox

Symbolic Math Toolbox™ provides functions for solving, plotting, and manipulating symbolic math equations. You can create, run, and share symbolic math code. In the MATLAB^® Live Editor, you can get next-step suggestions for symbolic workflows. The toolbox provides functions in common mathematical areas such as calculus, linear algebra, algebraic and differential equations, equation simplification, and equation manipulation.

Symbolic Math Toolbox lets you analytically perform differentiation, integration, simplification, transforms, and equation solving. You can perform dimensional computations and convert between units. Your computations can be performed either analytically or using variable-precision arithmetic, with the results displayed in mathematical typeset.

You can share your symbolic work with other MATLAB users as live scripts or convert them to HTML, Word, LaTeX, or PDF documents. You can generate MATLAB functions, Simulink^® Function blocks, and Simscape™ equations directly from symbolic expressions.

Tutorials

• Create Symbolic Numbers, Variables, and Expressions
  

  Use symbolic values and variables to perform analytical calculations.

• Create Symbolic Functions
  

  Use symbolic functions that accept symbolic inputs for analytical calculations.

• Create Symbolic Matrices
  

  Use matrices containing symbolic values.

• Create Symbolic Matrix Variables
  

  Use symbolic matrix variables.

• Use Symbolic Objects to Represent Mathematical Objects
  

  Use symbolic objects to represent mathematical objects.

• Perform Symbolic Computations
  

  Perform operations on symbolic objects.

• Use Assumptions on Symbolic Variables
  

  Set, check, and clear assumptions on symbolic variables.

Featured Examples

Computational Mathematics in Symbolic Math Toolbox

Provides an overview of the Symbolic Math Toolbox™ which offers a complete set of tools for computational and analytical mathematics.

• Open Live Script

Learn Calculus in the Live Editor

Learn calculus and applied mathematics using the Symbolic Math Toolbox™. The example shows introductory functions fplot and diff.

• Open Live Script

Differentiation

Analytically find and evaluate derivatives using Symbolic Math Toolbox™. In the example you will find the 1st and 2nd derivative of f(x) and use these derivatives to find local maxima, minima and inflection points.

• Open Live Script

Integration

Compute definite integrals using Symbolic Math Toolbox™.

• Open Live Script

Analytical Plotting with Symbolic Math Toolbox

Symbolic Math Toolbox provides analytical plotting of mathematical expressions without explicitly generating numerical data.

• Open Live Script

Next Step Suggestions for Symbolic Workflows in Live Editor

Run your code that generates a symbolic output in the Live Editor. Live Editor provides a context menu with next step suggestions that are specific to the output.

• Open Live Script