Equation solving, formula simplification, calculus,
linear algebra, statistics, number theory, and more

MuPAD^{®} notebooks will be removed in a future release. Use MATLAB^{®} live scripts instead.

To convert a MuPAD notebook file to a MATLAB live script file, see `convertMuPADNotebook`

. MATLAB live scripts support most MuPAD functionality, although there are some differences. For more information, see
Convert MuPAD Notebooks to MATLAB Live Scripts.

MuPAD provides extensive capabilities for a wide variety of mathematical tasks, including differentiation, integration, simplification, transforms, linear algebra operations, equation solving, and discrete mathematics. The emphasis is on performing computations analytically and returning general results with a complete case analysis. Many functions can relax this requirement and return results valid in the majority of cases. In addition, MuPAD provides functions that use numerical methods where analytical methods cannot achieve required results. Thus, you can use numeric methods to solve algebraic and differential equations, compute integrals, perform linear algebra operations, compute Fast Fourier Transforms, and more.

Frequently Used Topics

- Equation Solving

Solve algebraic and differential equations analytically or numerically

- Formula Manipulation and Simplification

Simplify or modify expressions, substitute parts of expressions, evaluate expressions or subexpressions

- Calculus

Differentiation, integration, series operations, limits, and transforms

- Linear Algebra

Matrix analysis, linear equations, eigenvalues, singular values, matrix exponential, factorization

- Polynomial Algebra

Polynomials, their properties, and operations on them, orthogonal polynomials, Groebner bases

- Mathematical Constants and Functions

Mathematical constants, complex numbers, logarithms, exponential, trigonometric, hyperbolic, and special functions

- Numbers and Precision

Variable-precision arithmetic, elementary number-theoretic operations

- Statistics

Algorithms and tools for organizing, analyzing, and modeling statistical data

- Discrete Mathematics

Elementary number-theoretic operations, linear optimizations, graph theory, and more