ExpandNumerator[expr] expands out products and powers that appear in the numerator of expr.

ExpToTrig[expr] converts exponentials in expr to trigonometric functions.

FactorTermsList[poly] gives a list in which the first element is the overall numerical factor in poly, and the second element is the polynomial with the overall factor ...

i ;; j represents a span of elements i through j.i ;; represents a span from i to the end.;; j represents a span from the beginning to j.;; represents a span that includes ...

TrigToExp[expr] converts trigonometric functions in expr to exponentials.

Nested logical and piecewise functions can be expanded out much like nested arithmetic functions. You can do this using LogicalExpand and PiecewiseExpand. Expanding out ...

Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.

CUDAArgMaxList[list] gives the index of the maximum element in list.

Introduction to Differential Equation Solving with DSolve Classification of Differential Equations Ordinary Differential Equations (ODEs)

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...