In calculus even more than other areas,
Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced by new methods being discovered at Wolfram Research, the algorithms in
Mathematica probably now reach almost every integral and differential equation for which a closed form can be found.
D (
)
— partial derivatives, of scalar or vector functions
Integrate (
)
— symbolic integrals in one or more dimensions
Series — power series and asymptotic expansions
»
DSolve — symbolic solutions to differential equations
Sum,
Product — symbolic sums and products
Normalize,
Orthogonalize — normalize, orthogonalize families of functions
