Using Symbolic Math Toolbox™, you can differentiate and integrate symbolic expressions, perform series expansions, find transforms of symbolic expressions, and perform vector calculus operations by using the listed functions.
Limits, Differentiation, and Integration
|Limit of symbolic expression|
|Differentiate symbolic expression or function|
|Functional derivative (variational derivative)|
|Definite and indefinite integrals|
|Numerical integration using variable precision|
|Integration by substitution|
|Integration by parts|
Partial Differential Equations
Differentiate symbolic expressions and functions.
- Create Symbolic Functions
Use symbolic functions that accept symbolic inputs for analytical calculations.
Integrate symbolic expressions and functions.
- Taylor Series
Taylor series expansion of symbolic expressions and functions.
- Fourier and Inverse Fourier Transforms
Fourier and inverse Fourier transforms of symbolic expressions.
- Solve Differential Equations Using Laplace Transform
Laplace and Inverse Laplace transforms of symbolic expressions and functions.
- Solve Difference Equations Using Z-Transform
Z-Transforms and inverses of symbolic expressions and functions.
- Symbolic Summation
Sum symbolic vectors, matrices, or symbolic series.
- Padé Approximant
Pade approximant of symbolic expressions and functions.
Limits of symbolic expressions and functions.
- Find Asymptotes, Critical, and Inflection Points
Find minima, maxima, and asymptotes by using derivatives and limits.
- Functional Derivatives Tutorial
Find functional derivatives, which are the derivative of a functional with respect to a function.