Symbolic Math Toolbox™

Function Reference

Calculus

diff	Differentiate symbolic expression
int	Integrate
jacobian	Jacobian matrix
limit	Limit of symbolic expression
symsum	Symbolic summation of series
taylor	Taylor series expansion

colspace	Basis for column space
det	Symbolic matrix determinant
diag	Create or extract symbolic diagonals
eig	Symbolic eigenvalues and eigenvectors
expm	Symbolic matrix exponential
inv	Symbolic matrix inverse
jordan	Jordan canonical form
null	Basis for null space
poly	Characteristic polynomial of matrix
rank	Symbolic matrix rank
rref	Reduced row echelon form
svd	Symbolic singular value decomposition
tril	Symbolic lower triangle
triu	Symbolic upper triangle

coeffs	Coefficients of multivariate polynomial
collect	Collect coefficients
expand	Symbolic expansion of polynomials and elementary functions
factor	Factorization
horner	Horner nested polynomial representation
numden	Numerator and denominator
simple	Search for simplest form of symbolic expression
simplify	Symbolic simplification
subexpr	Rewrite symbolic expression in terms of common subexpressions
subs	Symbolic substitution in symbolic expression or matrix

compose	Functional composition
dsolve	Symbolic solution of ordinary differential equations
finverse	Functional inverse
solve	Symbolic solution of algebraic equations

digits	Variable precision accuracy
vpa	Variable precision arithmetic

`+`	Addition
`-`	Subtraction
`*`	Multiplication
`.*`	Array multiplication
`\`	Left division
`.\`	Array left division
`/`	Right division
`./`	Array right division
`^`	Matrix or scalar raised to a power
`.^`	Array raised to a power
`'`	Complex conjugate transpose
`.'`	Real transpose

cosint	Cosine integral
dirac	Dirac delta
heaviside	Compute Heaviside step function
hypergeom	Generalized hypergeometric
lambertw	Lambert's W function
mfun	Numeric evaluation of special mathematical function
mfunlist	List special functions for use with `mfun`
sinint	Sine integral
zeta	Riemann Zeta

doc	Get help for MuPAD functions
evalin	Evaluate MuPAD expressions
feval	Evaluate MuPAD expressions
getVar	Get variable from MuPAD notebook
mupad	Start MuPAD notebook
mupadwelcome	Launch MuPAD interfaces
openmn	Open MuPAD notebook
openmu	Open MuPAD program file
reset	Close MuPAD engine
setVar	Assign variable in MuPAD notebook
symengine	Choose symbolic engine

ezcontour	Contour plotter
ezcontourf	Filled contour plotter
ezmesh	3-D mesh plotter
ezmeshc	Combined mesh and contour plotter
ezplot	Function plotter
ezplot3	3-D parametric curve plotter
ezpolar	Polar coordinate plotter
ezsurf	3-D colored surface plotter
ezsurfc	Combined surface and contour plotter
funtool	Function calculator
rsums	Interactive evaluation of Riemann sums
taylortool	Taylor series calculator

ccode	C code representation of symbolic expression
double	Convert symbolic matrix to MATLAB numeric form
fortran	Fortran representation of symbolic expression
int8, int16, int32, int64	Convert symbolic matrix to signed integers
latex	LaTeX representation of symbolic expression
matlabFunction	Convert symbolic expression to function handle or file
poly2sym	Polynomial coefficient vector to symbolic polynomial
single	Convert symbolic matrix to single precision
sym2poly	Symbolic-to-numeric polynomial conversion
uint8, uint16, uint32, uint64	Convert symbolic matrix to unsigned integers

ceil	Round symbolic matrix toward positive infinity
conj	Symbolic complex conjugate
eq	Symbolic equality test
findsym	Determine variables in symbolic expression or matrix
fix	Round toward zero
floor	Round symbolic matrix toward negative infinity
frac	Symbolic matrix elementwise fractional parts
imag	Imaginary part of complex number
log10	Logarithm base 10 of entries of symbolic matrix
log2	Logarithm base 2 of entries of symbolic matrix
mod	Symbolic matrix elementwise modulus
pretty	Pretty-print symbolic expressions
quorem	Symbolic matrix elementwise quotient and remainder
real	Real part of imaginary number
round	Symbolic matrix elementwise round
size	Symbolic matrix dimensions
sort	Sort symbolic vectors or polynomials
sym	Symbolic numbers, variables, and objects
syms	Shortcut for constructing symbolic objects
symvar	Find symbolic variables in symbolic expression or matrix

fourier	Fourier integral transform
ifourier	Inverse Fourier integral transform
ilaplace	Inverse Laplace transform
iztrans	Inverse z-transform
laplace	Laplace transform
ztrans	z-transform

Using Maple and MuPAD Engines

Functions — Alphabetical List