This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 Calculus 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 Dt — total derivatives Integrate () — symbolic integrals in one or more dimensions      Series — power series and asymptotic expansions » Limit — limits      DSolve — symbolic solutions to differential equations Minimize, Maximize — symbolic optimization      Sum, Product — symbolic sums and products           Normalize, Orthogonalize — normalize, orthogonalize families of functions      Derivative — symbolic and numerical derivative functions DifferentialRoot — general representation of linear differential solutions      TUTORIALS Finding Limits Differentiation Integration Indefinite Integrals Integrals That Can and Cannot Be Done Power Series Making Power Series Expansions Sums and Products MORE ABOUT Series Expansions Discrete Calculus Fourier Analysis Differential Equations Vector Analysis Package Mathematical Notation Variational Methods Package Numerical Calculus Package Numerical Differential Equation Analysis Package RELATED LINKS Demonstrations related to Calculus (The Wolfram Demonstrations Project) How to: Do Calculus